NTS NAT and other entry tests have Analytical reasoning which should be understood to get marks.
If you will simply read from our this guide,you will surely get full marks in this portion and you will never have to face difficulty regarding Analytical reasoning in aptitude tests or any other job or admission entry tests.This guide is in 5 simple parts.Simply read them all and you will be the master of reasoning.
Part 1
iv) “Which
can be false”? Or “Which could be false”? Or “Which may be false”? Or “Which
might be false”? Or “Which should be false?” Or “Which cannot be true?” Or
“Which could not be true”? Or “Which may not be true”? Or “Which might not be
true”? Or “Which should not be true”?
1) Straight Order
2) Scattered Order
Problem Statement – Straight Ordering:
Questions 1 to 6:
Solution
Answers
Explanations Question – 1
Explanatory Answer
Let us check Condition ii:
Let us check Condition iii:
Let us check Condition iv:
Question – 2
Explanatory Answer
Let us check Condition i:
Let us check Condition ii:
Let us check Condition iii:
Let us check Condition iv:
Question – 3
Explanatory Answer
1
2 3 4 5 6
L K
1
2 3 4 5 6
L N K
1
2 3 4 5 6
L O N
K
1
2 3 4 5 6
L O N
J K
1
2 3 4 5 6
L
O N
J K
M
Question – 4
Explanatory Answer
1
2 3 4 5 6
M
O
1
2 3 4 5 6
M
O N
1
2 3 4 5 6
M
O N
J
1
2 3 4 5 6
K
M O
N J
L
L
M O N J K
Question – 5
Explanatory Answer
1
2 3 4 5 6
L K
L K
K L
K
L
1
2 3 4 5 6
L O N
K
L
O N
K
K O N
L
K
O N
L
1
2 3 4 5 6
L O N
J K
L
O N
J K
K O N
J L
K
O N
J L
1
2 3 4 5 6
L
O N
J K
M
M
L O
N J
K
K
O N
J L
M
M
K O
N J
L
Question- 6
Explanatory Answer
1
2 3 4 5 6
K
1
2 3 4 5 6
K
O N
K
O
N
K
O
N
Problem Statement – Scattered Ordering
Questions 7 to 9:
Solution
Answers
Explanations
Question – 7
Explanatory Answer
Question – 8
Explanatory Answer
Question – 9
Explanatory Answer
Problem Statement – Suitable
Selection:
Questions 10 to 12:
Solution
Answers
Explanations
Question – 10
Explanatory Answer
Question – 11
Explanatory Answer
Question – 12
Explanatory Answer
If you will simply read from our this guide,you will surely get full marks in this portion and you will never have to face difficulty regarding Analytical reasoning in aptitude tests or any other job or admission entry tests.This guide is in 5 simple parts.Simply read them all and you will be the master of reasoning.
Part 1
What is Analytical Reasoning?
In this part I have tried to cover two major things
regarding Analytical Reasoning Questions.
What is Analytical Reasoning?
How do you answer Analytical Reasoning Questions?
To be honest,with practice you can easily score 80% marks in this portion."Practice" has biggest role in this portion.
Analytical reason questions are like puzzle games where we are given some clues and we have to understand them in a way to answer other question related to those clues.
Let us solve an example to know what did i exactly mean.
Example 1
Problem
Statement
Three Musicians – D, E and F can play exactly one
instrument: The piano, The Flute, The Guitar – though not necessarily in the
same order.
D, whose sister is guitar
player does not play piano
F
is an only child.
Important Considerations while answering Analytical Reasoning Problems.
Approaches for Different Types of
Questions in Analytical Reasoning
There are mainly 4 types:
i) “What
must be true”? Or “What must not be false”?
ii) “What must not be true”? Or “What must
be false”?
iii) “Which can be true?” Or “Which could be true”? Or “Which may be
true”? Or “Which might be true”? Or “Which should be true”? Or “Which cannot be
false”? Or “Which could not be false”? Or “Which may not be false”? Or “Which
might not be false”? Or “Which should not be false?”
Is tara k questions main hum khud
ko confuse kar lete hain. Kis type main kaya approach use karni chahiye us k
liye hamain pehlay “MUST BE TRUE” or “MAY BE TRUE” ka difference samajna paray
ga. Q k “MUST BE TRUE” is not equal to “MAY BE TRUE”.
Special
Note: Analytical Reasoning Problems k
questions main “Can be, Could be, May be, Might
be, Shall be, Should be” in sab ka matlab aik he samja jata hai.
MUST BE TRUE
|
MAY BE TRUE
|
It is less ambiguous
|
It is more ambiguous
|
Ye wo exact answer hota hai jo de hoi
conditions ko fulfill karta
hai
|
Ye wo answer hota hai jo hum de hoi
statements say deduce kar
saktay hain
|
Is main hamain sirf de hoi information par he rely karna
parta hai
|
Is main hum apni valid assumptions b utilize kar saktay
hain
|
Is main hamain ye dhayan
rakhna parta hai k
|
Is main hamain ye dekhna
parta hai k jo
|
hum say exactly pocha kaya gaya hai sirf usi ka jawab dena
hota hai.
|
pocha gaya hai uski possibilities kitni ho sakti hain
|
Jo differences hum nay oper bayan
kiye hain un ka faraq samajnay k liye hum aik example discuss kar lete hain.
Suppose hamain aik aisi statement de gai hai k.
i) Jo insan stairs say girtay hain un ki
left tang toot jati hai. ii) Ali
aik insan hai aur wo staris say gir gaya hai.
Case – Must be ture:
Ab oper de gai statements ko agar
hum logically jorain to hamari pehli statement kehti hai k jo b insan stairs
say girta hai uski left tang tot jati hai aur Ali b insan hai aur wo stairs say
gir gaya hai to it “MUST BE TRUE” k uski left tang toot jaye ge.
Case – May be true:
Ab oper de gai statements say hum
ye result nahein nikaal saktay k Ali gira hai to uska bazo b toota hoga ya uski
qamar ki haddi b tooti ho ge. Q k ye chezain statement main kahi he nai gai. Ye
assumptions hum khud say laga rahay hain jo natural conditions main ho b sakti
hain aur nahein b. So this is the best explanation of “MAY BE TRUE”.
2) Process of Choice Elimination on the basis of
Initial Conditions
Sometimes jab kisi question main
koi extra conditions na de hon to hum elimination method k zariye say apnay
question ko asaani say solve kar saktay hain. Is main hum ye kartay hain k apni
har answering option ko apni conditions k sath compare kartay hain aur agar
kisi option main aik condition b violate ho jaye to us ko eliminate kar dete
hain aur is tara akhar main hamaray paas aik he option reh jati hai jis par
tamam conditions fulfill hoti hain aur wohi hamari answering option hoti
hai.
Isko
samajnay k liye hum aik choti c example discuss kar lete hain.
Problem Statement:
Six contestants, R, S, T, U, V, and W, are
to be placed first (highest) through sixth (lowest), though not necessarily in
that order, at the start of a singles Ping-Pong challenge contest.
i)
R is placed above S.
ii)
V is placed above both T and U. iii) W is placed two places above T.
iv) R is placed either third or
fourth.
Question: Which of
the following is a possible initial placing from highest to lowest?
A) V,
T, W,R, U, S
B) W,
U, T,V,R,S
C) W,
S, T,R,V,V
D) V,
W, R, T, U, S
E) V,
W, T,R, U, S
Summarization of Initial Conditions
i)
R < S
ii) V
< (T & U) iii) W = T – 2 iv) R = 3 v 4
Elimination of Choices
Hum choices ki elimination k liye 2 methods
use kar saktay hain. In dono main say apko jo b approach better lagay ap wo use
kar lain ya phir agar ap ko is say better approach ka pata hai to ap wo b use
kar saktay hain. Q k ye methods hard and fast rules nahein hain. Dono
approaches nechay de gai hain.
a) Elimination
of Choices by using Answering Options
b) Elimination
of Choices by using Initial Conditions
Dono approaches apko aik jesi he lagain ge
but kuch log first main comfortable feel karain gay jab k kuch log second main.
So, I am explaining both of them.
a) Elimination
of Choices by using Answering Options
Is method main
hum bari bari kar k aik aik option pakrain gay aur us par initial conditions
apply karain gay. Jis option par aik b condition violate ho ge usay hum
eliminate kar dain gay aur end par sirf aik he option bachay ge jis par saray
rules satisfy hon gay aur wo hamara answer hoga.
Let us check option A first:
• Condition
no i is satisfied
• Condition
no ii is satisfied
•
Condition no iii is not satisfied
Ab hum condition
no iv ko check he nahein karain gay Q k jab aik b condition violate ho jaye to wo
answer ho he nahein sakta.
Let us check option B:
• Condition
no i is satisfied
•
Condition no ii is not satisfied
Ab hum condition
no iii and iv ko check he nahein karain gay Q k jab aik b condition violate ho
jaye to wo answer ho he nahein sakta.
Let us check option C:
•
Condition no i is not satisfied
So, option C be eliminate ho gai. Let us check option D:
• Condition
no i is satisfied
• Condition
no ii is satisfied
• Condition
no iii is satisfied
•
Condition no iv is also satisfied
Iska matlab hai k
hamara Answer option D he hai. Agar hum option E ko na b check karain to guzara
ho jaye ga lekin main apko suggest karon ga k ap tamam options zaror check
karain is say hamain ye pata chal jaye ga k hum nay kahein koi galti to nahein
ki.
Let us check option E:
• Condition
no i is satisfied
• Condition
no ii is satisfied
•
Condition no iii is not satisfied
So option E is
also eliminated. Now without any doubt our right answer after eliminating
process is option D.
b) Elimination
of Choices by using Initial Conditions
Is method main hum bari bari kar k
aik aik initial condition pakrain gay aur usay tamam options par apply karain
gay. Jo rule kisi b option par satisfy nahein hoga wo choice hum eliminate kar
dain gay. Is tara end par hamaray pas sirf aik he option bachay ge jis par
tamam rules apply hon gay aur wohi hamara answer hoga.
Let us check Condition i first:
• Satisfied
with Option A
• Satisfied
with Option B
• Not
Satisfied with Option C
• Satisfied
with Option D
•
Satisfied with Option E
Option C par
condition no i satisfy nahein hoti is liye option C yahen par eliminate ho jaye
ge aur further hum koi aur condition option C par check nahein karain gay.
Let us check Condition ii:
• Satisfied
with Option A
• Not
Satisfied with Option B
• Option
C is already eliminated so no need to check
• Satisfied
with Option D
•
Satisfied with Option E
Is test k baad Option B is also
eliminated.
Let us check Condition iii:
• Not
Satisfied with Option A
• Option
B is already eliminated so no need to check
• Option
C is already eliminated so no need to check
• Satisfied
with Option D
•
Not Satisfied with Option E
After checking
condition no iii, 2 more options A and E are eliminated. Ab sifr aik he option
bachi hai aur wo D hai lekin abi hum ye nahein keh saktay k D is our answer q k
abi aik condition baqi hai.
Let us check Condition iv:
• Option
A is already eliminated so no need to check
• Option
B is already eliminated so no need to check
• Option
C is already eliminated so no need to check
• Satisfied
with Option D
•
Option E is already eliminated so no need to
check
After testing all
initial conditions on Answering options, only D is left which satisfies all
given initial conditions. So, right answer is D.
I hope k aap ko
eliminating choices k through question ko solve karna samaj main aa gaya hoga.
Baqi dono approaches similar he hain aur apko jo b suitable lagay ap wo choose
kar lain.
Precautionary
Note: Ye zarori nahein k tamam question
elimination method say he hon. So, don’t
apply this method blindly on all questions.
3) Technical
Errors during interpretation of “If” statements
Jin statements
main word “If” use hota hai hum aksar unko interpretation main aik technical
error kar dete hain jo main nay nechay explain kiya hai. For example,
If P is selected, then Q must be
selected.
Is statement ka
matlab hai k agar P ko liya hai to Q ko lazmi lain gay. Lekin is ka ye har giz
matlab nahein hai k agar Q liya hai to P b lena paray ga. Yehe wo technical
mistake hai jo hum “If” ki statement walay question main kartay hain. So be
careful while dealing such statements.
4) Technical
Errors during interpretation of “If and only if” statements
Jin statements
main word “If and only if” use hota hai hum aksar unko interpretation main “If”
ki statement k sath mix kar dete hain hala k dono main aik bara clear
difference hai jo nechay de gai example main explain kiya gaya hai. For
example,
P is selected, if and only if Q is
selected.
Is statement ka
matlab hai k agar P ko liya hai to Q ko lazmi lain gay. Aur is ka ye b matlab
hai k agar Q liya hai to P b lena paray ga. Yehe basic difference hai “If”
statement main aur “If and only if” ki statement main. If and only if ko
sometime “Iff” say b zahar kiya jata hai.
Tabular form main difference nechay
diya gaya hai jis say apko key difference point zayada clear ho jayein gay.
If Statements
|
If and only If Statements
|
It is denoted by “If”
|
It is denoted by “If and
only if” or “Iff”
|
Symbolic representation is
|
Symbolic representation is
≡
|
Example: If P is selected,
then Q must be selected
|
Example: If and only if P
is selected, Q is also selected
|
Interpretation:
If P is selected then Q is also selected
But If Q is selected then
selection of P is not mandatory
|
Interpretation:
If P is selected then Q is also selected
If Q is selected then P is
also selected
|
5) Value Your Time
Ap sab nay 2 terms bohat zayada
suni hon ge.
• Effectiveness
• Efficiency
Hum farz kartay
hain k Ali aur Akbar nay GAT ka test diya. Test ka time 120 minutes tha. Ali
nay pora test 90 minute main solve kar liya jab k Akbar pora test diye hoye
time main solve nahein kar paya. Jab result aya to pata chala k Akbar k marks
Ali say zayada hain.
Oper wali statement parh kar hum 2
batain keh saktay hain.
1) Ali is more efficient than Akbar. Q k
Ali nay Akbar say pehlay pora paper solve kar liya 2) Akbar is more
effective than Ali. Q k Akbar nay paper main Ali say zayada marks liye.
Lekin dono main
say behtar kon hai. To answer hai k dono he nahein. Q k to be successful in any
field you have to effective as well as efficient. Same rule applies in GAT
test. Apko agar sara paper aata ho lekin aap usay within given time solve he na
kar sakain to uska koi faida nahein hai. So you have to value your time during
the test and you have to be very careful regarding those things which consume
time in Analytical Reasoning Question and normally termed as
• Point
Killers
•
Black Holes
Point Killers
Point killers is
tara k questions hotay hain jo apka waqt lazmi lete hain. Ap inko short cut
main solve nahein kar sakty. In main is tara k questions hotay hain
Agar P hoa to Q be ho ga
Agar Q hoa to R be ho ga
Agar R hoa to S nahein ho ga
Aisay questions ko
koshish karain k last par try karain ta k apka time baqi questions main b
distribute ho sakay
Black Holes
Science kehti hai k hamari universe main
bohat saray aisay Black Holes majood hain k jin main itni kashish hoti hai k
baray baray sitaray b us main gir kar kho jatay hain. Isi tara kuch
Analytical Reasoning Problems b Black Holes ki tara hotay hain k jab ap
unko start kartay hain to un main aisa kho jatay hain k apko time ka hosh he
nahein rehta aur apka kafi time waste ho jata hai. Agar koi is tara ka question
aa jaye to kabi kabaar Tukkay say b kaam chala lena chahiye aur time bacha lena
chahiye. Lekin agar ap k paas time hai to you should solve.Part 3
In part 3, main
nay ye discuss kiya hai
• Different
Categories of Analytical Reasoning Problems
•
Explanation of First two categories of
Analytical Reasoning Problems with the help of solved example problem
Ab baqi 2 parts
main b main different categories ka aik aik question with explanation solve
karon ga aur apko suggest karon ga k first 2 parts achi tara parh lain q k agar
apko first 2 parts clear hain to apko questions solve karnay main koi masla
nahein hoga.
DIFFERENT CATEGORIES OF
ANALYTICAL REASONING PROBLEMS
On the basis of
nature of questions, Analytical Reasoning problems can be divided into one of
the following categories.
1. Straight
Order
2. Scattered
Order
3. Suitable
Selections
4. Table
Seating Arrangements
a. Circular
Table Arrangements
b. Rectangular
Table Arrangements
5. Comparison
Problems
7. Matrix
Problems
8.
Relationship Problems
Ho sakta hai k
different books main ye method kisi aur name say available hon. Main nay wo
name use kiye hain jo us book main diye gaye hain jisko main follow kar raha
hon.
In GAT General
about 90% and sometimes 100% questions belong to first four categories. Jitnay
test main nay abi tak diye hain un main mostly 40% questions first category k
hotay thay. 30% second category k. 20% third category k aur 10% fourth category
k. Lekin iska ye har giz matlab nahein k baqi 4 categories ka kabi question
nahein aaya. So, prepare all methods but give more concentrattion on first four
categories as compared to last four categories. Now, I will explain first two
categories in this part.
1) Straight Order
The simplest and most commonly analytical reasoning questions
are straight order questions.
This kind of problems normally
starts with this kind of statements;
• Five
people standing in a line
• Twelve
people in a street in twelve houses Six
runners in a race etc
2) Scattered Order
A little bit tough as compared to
Straight Order problems but not toughest.
These kind of problems normally
start with
• There
are five chairs and four persons
• There
are ten people and six rooms
•
There are three people and five dishes etc . . .
In dono ka faraq ab ko main tabular
form main samjata hon
Straight Order
|
Scattered Order
|
Ye Analytical Problems ki sab say simple type hoti hai
|
Ye Analytical Problems ki thori c tough type hoti hai
|
Is main aam tor par tamam
individuals ko 1, 1 jaga mil jati hai. Is ko main nay nechay aik
example say clear kiya hai
|
Is main aam tor par tamam
individuals ko 1, 1 jaga nahein milti. Is ko main nay nechay aik
example say clear kiya hai
|
Example:
Aik street main 6 ghar hain aur un main total 6 log rehtay hain. Is main
zarori hai k har ghar main 1 he banda aaye. Aur koi b ghar khali na ho.
|
Example:
Aik street main 6 ghar hain aur un main total 10 log rehtay hain. Is main
zarori nahein k har ghar main 1 he banda aaye. Kisi main 1 say zayada b ho
saktay hain aur kisi main koi b nahein ho sakta.
|
Ye mostly symbols main summarize kar k solve ho jatay hain
|
In main aksar symbols k sath sath graphically b conditions
ko summarize karna parta hai
|
Mostly GAT main nearly 40% questions
Straight order k hotay
hain.
|
Mostly GAT main nearly 30% questions
Scattered order k hotay
hain.
|
Ye solve honay main sab say kam time lete hain
|
Ye solve honay main zayada
time lete hain.
|
Important Note: Analytical Problems chahay kisi b category k hon
agar hum wo tamam basic rules aur
precautions ko follow karain jo pehlay 2 parts main explain ki gai hain to ap
har type k questions ko easily solve kar
lain gay.
Now let us solve
one question of straight order. But before solving please make it sure k pehlay
2 parts apko mukamal clear hain.
Problem Statement – Straight Ordering:
In a school
function six students J,K,L,M,N and O are sitting in front row of six seats.
All six seats are numbered from 1 to 6. Only one person is sitting in one seat.
i)
J is sitting neither in seat 1 nor in seat 6.
ii)
N is not sitting next to L. iii) N is not sitting next to K. iv) O is sitting to the immediate
left of N.
Questions 1 to 6:
1 –
Which of the following seating arrangements, given in order from seat 1 to 6,
is acceptable?
A) L,
M, K, O, N, J
B) L,
J, M, O, N, K
C) L,
N,O, J, M, K
D) K,
J, L, O, M, N
E)
M, K, O, N, J, L
2
– All of the following seating arrangements,
given in order from 1 to 6, are acceptable EXCEPT:
A) M,
J, L, K, O, N
B) K,
J, O, N, M, L
C) K,
O, N, J, M, L
D) L,
O, N, J, K, M
E)
K, J, O, N, L, M
3 – If
L is in seat 1 and K is in seat 5, which of the following must be true?
A) J
is in seat 2
B) M
is in seat 3
C) N
is in seat 4
D) O
is in seat 4
E)
M is in seat 6
4 – If
M and O are in seats 2 and 3 respectively, which of the following must be true?
A) J
is in seat 5
B) K
is in seat 3
C) L
is in seat 1
D) L
is in seat 6
E)
N is in seat 5
5
– If K and L are separated by exactly three
seats, what is the maximum number of different arrangements in which the six
people could be seated?
A) 1
B) 2
C) 3
D) 4
E)
5
6
– If K is in seat 2, which of the following is a
complete and accurate listing of the seats which O could occupy?
A) 1
B) 3
C) 3
and 4
D) 1,
3 and 4
E)
3, 4 and 5
Solution
First of all we will
summarize our initial conditions either as per methods given in many books or
by our own developed signs.
i) J ≠ (1 v 6) ii) N ≠ L iii) N
≠ K iv) O —> N
Ab hum ye dekhain
gay k kaya hum initial conditions ko use kartay hoye further conclusions nikaal
saktay hain ya nahein.
G han hum yahan
say further conclusions nikaal saktay hain. Hum in conditions ko use kartay
hovay kai possible seating arrangements nikaal saktay hain lekin is kaam main
kafi zayada time lag jaye ga is liye filhaal hum further conclusions ko chor
kar agay move karain gay. Pehlay main sab questions k just answer don ga aur
aap b inko pehlay khud hal kar k dekhain k kaya aap k answer nechay diye gaye
answers k sath tally kartay hain ya nahein. Us k baad in answers ki main
explanation don ga.
Answers
1 – E
2 – E
3 – E
4 – A
5 – D
6 – E
Explanations Question – 1
Which of the following seating
arrangements, given in order from seat 1 to 6, is acceptable?
A) L,
M, K, O, N, J
B) L,
J, M, O, N, K
C) L,
N,O, J, M, K
D) K,
J, L, O, M, N
E)
M, K, O, N, J, L
Explanatory Answer
Is par hum wohi “Choice Elimination
Method” use karain gay.
Aur main isko “Elimination of
Choices by using Initial Conditions” solve karon ga.
Is method main hum
bari bari kar k aik aik initial condition pakrain gay aur usay tamam options
par apply karain gay. Jo rule kisi b option par satisfy nahein hoga wo choice
hum eliminate kar dain gay. Is tara end par hamaray pas sirf aik he option
bachay ge jis par tamam rules apply hon gay aur wohi hamara answer hoga. Let us
check Condition i:
• Not
Satisfied with Option A
• Satisfied
with Option B
• Satisfied
with Option C
• Satisfied
with Option D
•
Satisfied with Option E
Condition i k
mutabiq J 1st ya 6th seat par nahein ho sakta jab k
option A main J 6th seat par hai. Is liye option A yaheen par
eliminate ho jaye ge
Let us check Condition ii:
• Option
A is already eliminated so no need to check
• Satisfied
with Option B
• Not
Satisfied with Option C
• Satisfied
with Option D
•
Satisfied with Option E
Condition ii main bara
clear likha hova hai k N, L k sath nahein bethay ga. Jab k option C main N aur
L ekathay bethay hoye hain so, option C is also eliminated.
Let us check Condition iii:
• Option
A is already eliminated so no need to check
• Not
Satisfied with Option B
• Option
C is already eliminated so no need to check
• Satisfied
with Option D
•
Satisfied with Option E
Condition iii main
likha hova hai k N aur K aik sath nahein bethain gay. Jab k option B main N aur
K ekathay bethay hoye hain so, option B is eliminated as well.
Let us check Condition iv:
• Option
A is already eliminated so no need to check
• Option
B is already eliminated so no need to check
• Option
C is already eliminated so no need to check
• Not
Satisfied with Option D
•
Satisfied with Option E
Condition iv kehti
hai k O hamesha N k foran left side par aaye ga jab k option D main aisa nahein
hai. So, after testing all initial conditions on Answering options, only E is
left which satisfies all given initial conditions. So, right answer is E.
Precautionary
Note: Agar choice elimination method k
baad aap k paas aik say zayada answering
options aa rahi hain to iska matlab hai k aap koi chez overlook kar gaye hain.
Aur agar koi b choice nahein aa rahi to
iska matlab hai k aap nay summarize kartay waqt koi condition galat interpret kar de hai. So, be careful.
Question – 2
All of the following seating
arrangements, given in order from 1 to 6, are acceptable EXCEPT:
A) M,
J, L, K, O, N
B) K,
J, O, N, M, L
C) K,
O, N, J, M, L
D) L,
O, N, J, K, M
E)
K, J, O, N, L, M
Explanatory Answer
Jab b aap question
ko parhain to ye zaror dekhain k akhar hum say pocha kaya gaya hai. Jesa k is
question main 5 arrangements de gai hain aur pocha gaya hai k kon c arrangement
thek nahein hai. To iska matlab ye hoa k hamari de gai conditions question main
de gai 4 options ko completely satisfy karain ge aur sirf aik option aisi ho ge
jis par koi na koi condition violate ho ge.
Again ye question
b “Choice Elimination Method” say ho jaye ga. Aur main isko b “Elimination of
Choices by using Initial Conditions” solve karon ga.
Let us check Condition i:
• Satisfied
with Option A
• Satisfied
with Option B
• Satisfied
with Option C
• Satisfied
with Option D
•
Satisfied with Option E
Kisi b option main
J na to 1st position par hai aur na he 6th par. Iska
matlab hai k pehli condition to sab he options ko satisfy kar rai hai so now we
will move towards another option.
Let us check Condition ii:
• Satisfied
with Option A
• Satisfied
with Option B
• Satisfied
with Option C
• Satisfied
with Option D
• Not
Satisfied with Option E
Option E main N
aur L ekathay bethay hain jo hamari condition ki violation hai. Question main
jo chez pochi gait hi hamain us ka answer mil gaya hai k Option E ki
arrangement acceptable nahein ho ge.
Agar aap chahain
to yaheen par ye question chor kar next question ki taraf move kar saktay hain
lekin main apko suggest karon ga k aap baqi dono conditions b lazmi check kar
lain ta k apko pata chal jaye k aap nay kahein koi galiti to nahein ki.
Let us check Condition iii:
• Satisfied
with Option A
• Satisfied
with Option B
• Satisfied
with Option C
• Satisfied
with Option D
•
Option E is already eliminated so no need to
check
Condition iii b pehli 4 options par
fully satisfied hai.
Let us check Condition iv:
• Satisfied
with Option A
• Satisfied
with Option B
• Satisfied
with Option C
• Satisfied
with Option D
•
Option E is already eliminated so no need to
check
Condition iii b
pehli 4 options par fully satisfied hai. Iska matlab k hum nay question main
koi galti nahein ki hai. Sirf option E aik aisi arrangement hai jis par
condition violate hoti hai so our Answe is Option E.
Question – 3
If L is in seat 1 and K is in seat
5, which of the following must be true?
A) J
is in seat 2
B) M
is in seat 3
C) N
is in seat 4
D) O
is in seat 4
E)
M is in seat 6
Explanatory Answer
Ye question tricky
hai q k is main 2 extra conditions de hoi hain. Aur main nay part 1 main
explain kiya tha k agar kisi question main koi extra condition ho to wo sirf
usi question k liye valid hoti hai aur agar extra condition kisi b initial
condition k sath contradict kar rahi ho to wo initial condition sirf is aik
question k liye invalid ho ge.
Chalain hum zara
dekh he lete hain k kaya koi initial condition extra condition k sath
contradict to nahein kar rahi
Initial Conditions
i) J ≠ (1 v 6) ii) N ≠ L iii) N
≠ K iv) O —> N
Extra Conditions given in
question number 3
a) L
= 1
b)
K = 5
Oper de gai
conditions say clear hai k koi b extra condition initial condition k sath
contradict nahein kar rahi. Is liye question 3 ko solve karnay k liye hum ye
sari 6 ki 6 conditions ko use karain gay.
Ab atay he sawal
ki taraf to hum say “MUST BE TRUE” pocha gaya hai. Is question ko solve karnay
k liye hamain dekhna paray ga k de gai conditions say kitnay possible seating
arrangements ban saktay hain. All possible seating arrangements with Initial
conditions and Extra conditions are given below,
According to extra conditions, L 1st
seat par hoga aur K 5th seat par hoga.
1
2 3 4 5 6
L K
Ab Initial
condition i ko dekhain to hamain ye zaror pata chalta hai k J 1st ya
6th par nahein aaye ga. To iska matlab J 2nd, 3rd,
4th ya 5th par aaye ga. Lekin 5th par to K aa
chukka hai to it means J ab 2nd, 3rd ya 4th
par aaye ga lekin clear nahein hai k kis par aaye ga. Is liye waqt tor par hum
is condition ko chor kar agay move karain gay.
Ab initial
condition ii kehti hai N aur L ekathay nahein aa saktay isi tara initial
condition iii kehti hai k N aur K ekathay nahein aa saktay. Yahan say ye pata
chalta hai k hum N ko 2nd, 4th aur 6th seat
par nahein bitha saktay to phir sirf 3rd seat he bachti hai jahan N
beth sakta hai. So,
1
2 3 4 5 6
L N K
Initial condition iv k hisaab say O
hamesha N k left main hona chahiye, so,
1
2 3 4 5 6
L O N
K
Ab first initial condition k hisab
say J 6th par nahein hoga, so
1
2 3 4 5 6
L O N
J K
Ab aik he student bacha hai lehaza
last seat usay mil jaye ge
1
2 3 4 5 6
L
O N
J K
M
Oper jo seating
arrangement de gai hai given conditions k hisaab say sirf yehe 1 possible
arrangement hai.
Ab hum apni answering options ko bari
bari is arrangement say compare karain gay.
Option A: False, q k oper de gai arrangement main J to 4th
par hai.
Option B: False, q k oper de gai arrangement main M to 6th
seat par hai.
Option C: False, q k oper de gai arrangement main N to 3rd
seat par hai.
Option D: False, q k oper de gai arrangement main O 2nd
seat par hai.
Option E: True, M waqai oper de gai arrangement main 6th
seat par hai.
So, our correct answer is option E.
Question – 4
If M and O are in seats 2 and 3
respectively, which of the following must be true?
A) J
is in seat 5
B) K
is in seat 3
C) L
is in seat 1
D) L
is in seat 6
E)
N is in seat 5
Explanatory Answer
Ab is question
main b 2 extra conditions de hoi hain. Aur isko b hum pichlay question ki tara
apni initial conditions say compare karain gay.
Chalain hum zara
dekh he lete hain k kaya koi initial condition extra condition k sath
contradict to nahein kar rahi
Initial Conditions
v) J ≠ (1 v 6) vi) N ≠ L vii) N
≠ K viii) O —> N
Extra
Conditions given in question number 3
c) M
= 2
d)
O = 3
Oper de gai
conditions say clear hai k koi b extra condition initial condition k sath
contradict nahein kar rahi. Is liye question 3 ko solve karnay k liye hum ye
sari 6 ki 6 conditions ko use karain gay.
Ab atay he sawal
ki taraf to hum say “MUST BE TRUE” pocha gaya hai. Is question ko solve karnay
k liye hamain dekhna paray ga k de gai conditions say kitnay possible seating
arrangements ban saktay hain. All possible seating arrangements with Initial
conditions and Extra conditions are given below,
According to extra conditions, L 1st
seat par hoga aur K 5th seat par hoga.
1
2 3 4 5 6
M
O
According to Initial condition iv,
O hamesha N k left main hoga, so,
1
2 3 4 5 6
M
O N
According to
Initial condition i, J 1st aur 6th par nahein aaye ga aur
oper wali arrangement main J k liye sirf aik he seat bachti hai aur wo hai 5th
seat.
1
2 3 4 5 6
M
O N
J
According to
initial condition ii and iii, K aur L kabi b N k sath nahein hon gay, lehaza 1st
aur 6th main hum jahan b K ya L ko rakh lain koi b condition violate
nahein ho ge. It means hamari 2 arrangements possible ho jayein ge is question
main jo main nay nechay likh de hain.
1
2 3 4 5 6
K
M O
N J
L
L
M O N J K
Oper jo 2 seating
arrangements nikli hain ab hum apni answering options ko is k sath compare
karain gay.
Option A: True, q k oper de
gai arrangement main J to 5th par hai.
Option B: False, q k oper de gai arrangement main K ya to 1st
par hai aur ya to 6th seat par hai.
Option C: May be, q k oper de gai 1
arrangement main L 1st par aa to raha hai lekin dosri arrangement
main L 6th par aa raha hai.
Option D: May be, q k oper de gai 1
arrangement main L 6th par aa to raha hai lekin dosri arrangement
main L 1st par aa raha hai.
Option E: False, q k oper de gai dono arrangements main N 4th
seat par hai.
An yahan par masla ye hai k answer kaya hai.
Hamain lagay ga k A b answer hai C b answer hai D b answer hai. Lekin answer to
sirf 1 he hona chahiye. It means we are overlooking something.
Lekin Kaya . . .
Zara question dobara parhain hum
say pocha gaya tha “MUST BE TRUE”
It means aisa
answer jo har possible arrangement main true ho. Option C aur D ka answer aik
arrangement main to true ho sakta hai magar dosri arrangement main galat hai.
Jab k Option A dono arrangement main true result day rahi hai,
So, our correct answer is option A.
Question – 5
If K and L are
separated by exactly three seats, what is the maximum number of different
arrangements in which the six people could be seated?
A) 1
B) 2
C) 3
D) 4
E)
5
Explanatory Answer
Ab is question
main b extra condition day de gai hai jo hamari initial condition say
contradict nahein kar rahi.
Is question main
hum say pocha gaya hai “COULD BE”. Iska matlab hai k answer tamam possible
solutions hon gay. Now, let us move towards its solution
According to given
extra condition, K aur L k darmayan 3 seats ka difference hona chaiye. Is
condition say hum dekh lete hain k kitnay possible seating arrangement ban
saktay hain.
1
2 3 4 5 6
L K
L K
K L
K
L
Given extra
condition nay hamain 4 possible arrangement diye hain. Lekin ab hum in par
Initial condition apply kar k dekhain gay k 4 ki 4 arrangements pori hoti b
hain k nahein
Ab Initial condition iv k mutabiq
1
2 3 4 5 6
L O N
K
L
O N
K
K O N
L
K
O N
L
Ab condition i k mutabiq
1
2 3 4 5 6
L O N
J K
L
O N
J K
K O N
J L
K
O N
J L
Ab aik he student bacha hai lehaza
wo last vacant seat par aa jaye ga
1
2 3 4 5 6
L
O N
J K
M
M
L O
N J
K
K
O N
J L
M
M
K O
N J
L
Oper diye gaye
charo arrangements hamari tamam initial plus extra conditions ko satisfy karti
hain.
So, correct answer is option D
Question- 6
If K is in seat 2,
which of the following is a complete and accurate listing of the seats which O
could occupy?
A) 1
B) 3
C) 3
and 4
D) 1,
3 and 4
E)
3, 4 and 5
Explanatory Answer
One more question
with an extra condition asking us about “COULD BE”. So, all possible
arrangements with different placement of O will be our solution.
According to given extra condition
1
2 3 4 5 6
K
According to
Initial condition iv O hamesha N k immediate left main hoga. Iska matlab hai k
O ko hum 1st aur 6th par nahein rakh saktay. Is k elawa
har jaga yani 3rd, 4th aur 5th par aa sakta
hai.
Now let us check these possible
arrangements with placing O at number 3, 4 and 5.
1
2 3 4 5 6
K
O N
K
O
N
K
O
N
So, our correct answer is option E.
Problem Statement – Scattered Ordering
Six individuals P,
Q, R, S, T and U live in a five story building flats. Each person lives on one
of the floors in the building.
I)
Exactly one of the six lives on the first floor.
II)
Exactly one of them lives on the fourth floor.
III)
At least two of them lived on the second floor.
IV)
P lives on the highest floor.
V)
No one lives on the same floor as P.
VI)
Q does not live on the first floor or on the
second floor.
VII)
Neither R nor S lives on the second floor.
Questions 7 to 9:
7 –
All of the following must be true EXCEPT
A) Exactly
two persons live on the second floor
B) At
most, one person lives on fifth floor
C) At
least one person lives on fifth floor
D) At
least one person lives on third floor
E)
P does not live on second floor
8 –
Which of the following could be true?
A) Either
Q or R lives on the third floor
B) T
and U do not live on the second floor
C) T
and U live on the third floor
D) T
lives on the first floor
E)
U lives on the fourth floor
9
– If P lives on a floor directly above the floor
on which R lives, then which of the following must be true?
A) R
lives on a higher floor than Q
B) R
and Q live on the same floor
C) T
and U live on the different floor
D) Q
lives on the third floor
E)
S lives on the second floor
Solution
In this question
we will summarize initial conditions with symbols as well as with graphical
representation.
Summarization of initial
conditions with the help of symbols
I)
Floor 1 = 1 person only
II)
Floor 4 = 1 person only
III)
Floor 2 ≥ 2 persons
IV)
Highest Floor = P only
V)
P ≠ Q v R v S v T v U
VI)
Q ≠ Floor 1 v Floor 2 VII) R v S ≠ Floor 2
Important
Note: Yaad rakhiye ga k aap Scattered
Order ka question solve kar rahay hain. So, it is not compulsory k tamam floors par koi n koi rahay.
Summarization of initial
conditions with the help of graph
Number
of Floor
|
Persons
|
5
|
|
4
|
Exactly One
|
3
|
|
2
|
At least Two, Not Q, Not R,
Not S
|
1
|
Exactly 1, Not Q
|
Important Note: Zarori
nahein k initial conditions hamesha symbols say he represent hon. Hum graph b
use kar saktay hain aur bul k agar zarorat paray to hum symbols aur graph dono
ko apnay method main use kar sakty hain.
Further conclusions
Kaya hum yahan say
further conclusions nikaal saktay hain? G han bilkul hum nikaal saktay hain.
Aur yahan par further conclusions ye hain.
Q k ye Scattered
Order ka question hai to is liye ye zarori nahein hai highest floor 5th
he hoga jis main P rehta hoga. Q k ho sakta hai k 5th Floor main koi
b na rahay. So make it sure k P 5th main ho b sakta hai aur 4th
main b.
Aik aur chez hum initial condition
say nikaal saktay hain k q k diya gaya hai k floor 2 par kam az kam 2 log
rahain gay. Aur ye b diya gaya hai k wo na to Q hoga na R hoga aur na he S
hoga. Aur jahan tak baat hai P ki to wo 2nd par aa he nai sakta Q k
us nay highest floor per rehna hai. To iska matlab hai k phir 2nd
Floor par T aur U he rahain gay.
Number
of Floor
|
Persons
|
5
|
|
4
|
Exactly One
|
3
|
|
2
|
Exactly Two, T and U
|
1
|
Exactly 1, Not Q
|
Ab ye further conclusions b hamain
questions ko solve karnay main help karain gay.
Answers
7 – C
8 – A
9 – D
Explanations
Question – 7
All of the following must be true
EXCEPT
A) Exactly
two persons live on the second floor
B) At
most, one person lives on fifth floor
C) At
least one person lives on fifth floor
D) At
least one person lives on third floor
E)
P does not live on second floor
Explanatory Answer
“MUST BE TRUE”
wala question hai to ap ye to samaj he gaye hon gay karna kaya hai. Is main
pocha gaya hai k kon c choice thek nahein hai. Hamain koi extra condition
nahein de gai to hum wohi apna all time favorite choice elimination method use
karain gay. Lekin is dafa main choice elimination method ko apnay dono graphs k
sath compare karon ga.
Option A: True, q k hamara further
conclusion wala table ye zahar karta hai k waqai 2nd floor par sirf
2 he persons rehtay hain
Option B: True, q k highest floor par
sirf P he ho sakta hai aur P k sath koi b nahein aa sakta lehaza 5th
par zayada say zayada 1 he banda ho sakta hai.
Option C: False, 5th highest
floor hai jahan par sirf P aa sakta hai aur P k sath koi b nahein reh sakta to
wahan par zayada say zayada 1 banda reh sakta hai.
Option D: True, q k agar P 5th
main aata hai to de hoi conditions k mutabiq aik person 4th par b
rahay ga. Aik person 1st par rahay ga aur do 2nd par
rahain gay. To phir jo aik banda bacha wo zahri baat hai 3rd floor
par rahay ga.
Option E: True, q k highest floor jahan P rahay ga wo ya to 4th
hai ya 5th hai.
So, our correct choice is Option C.
Question – 8
Which of the following could be
true?
A) Either
Q or R lives on the third floor
B) T
and U do not live on the second floor
C) T
and U live on the third floor
D) T
lives on the first floor
E)
U lives on the fourth floor
Explanatory Answer
Contrarily to
question number 7, is question main hum say pocha gaya hai de gai options main
say “What Could be True”
So let us compare
our options with our tables developed by Initial Conditions and Further
Conclusions.
Option A: True, De hoi conditions k
hisab say 3rd par waqai ya to Q aa sakta hai ya R aa sakta hai ya
phir dono b aa saktay hain.
Option B: False, q k hamara further
conclusion wala table ye bara clear batata hai k T aur U dono he 2nd
Floor par hon gay.
Option C: False, same logic jo abi oper de hai.
Option
D: False, q k as per Further Conclusion table, T lives on 2nd
Floor Option E: False, q k as per
Further Conclusion table, U lives on 2nd Floor
So, correct answer is Option A.
Question – 9
If P lives on a
floor directly above the floor on which R lives, then which of the following
must be true?
A) R
lives on a higher floor than Q
B) R
and Q live on the same floor
C) T
and U live on the different floor
D) Q
lives on the third floor
E)
S lives on the second floor
Explanatory Answer
Hamain is question
main aik extra condition de gai hai aur hum say pocha gaya hai k which “MUST BE
TRUE”.
Pehlay hum zara dekh lete hain k
hum R ko kahan place kar saktay hain.
Number of
Floor
|
Persons
|
Number
of Floor
|
Persons
|
|
5
|
5
|
P
|
||
4
|
P
|
4
|
R
|
|
3
|
R
|
3
|
||
2
|
T and U
|
2
|
T and U
|
|
1
|
1
|
Iski sirf 2 he possible places
hain. Q k hamain pata hai k highest floor par P aye ga. To P ya to 5th
main ho ga ya 4th main. Lekin agar P ko 4th main rakhain
to Baqi saray log 1st ya 3rd Floor par rakhnay parain gay
lekin Q first par nahein aa sakta. Lehaza Q ko hum dono tables main 3rd
Floor par he rakhain gay. Aur 1 person pehlay floor par hona b zarori hai. Dono
possible arrangements nechay de gai hain.
Number of
Floor
|
Persons
|
Number
of Floor
|
Persons
|
|
5
|
5
|
P
|
||
4
|
P
|
4
|
R
|
|
3
|
R and Q
|
3
|
Q
|
|
2
|
T and U
|
2
|
T and U
|
|
1
|
S
|
1
|
S
|
Ab hum is table ko apni options k sath
compare karain gay.
Option A: May be, q k left table main R
aur Q aik he floor par hain jab k right walay table main R, Q say oper hoga. So
this is not our answer q k hum nay must be true find karna hai.
Option B: May be, q k left table main R
aur Q aik he floor par hain jab k right walay table main R, Q say oper hoga. So
this is not our answer q k hum nay must be true find karna hai.
Option C: False, q k as per both tables T and U lives on the same
floor.
Option D: True, as per both tables Q is placed in 3rd
Floor.
Option E: False, q k both tables main S 1st floor par
hai.
So, our correct answer is Option D.
Part 4
Part 3 main hum
nay dekha tha k Analytical Reasoning k questions ki kitni categories ho sakti
hain. Aur un main say hum nay pehli 2 categories ko aik example lay kar explain
b kiya tha. In part 4 main mazeed agli aik category ki aik example ko solve karon gay. So, is part main
main nay ye discuss kiya hai.
Suitable
Selection Analytical Problems with solved example
Part 5 main main
baqi tamam categories ko discuss karon ga. Lekin agay barhnay say pehlay main
apko batana chahon ga k Analytical Reasoning Problems ko solve karnay k liye jo
concepts main nay part 1 aur part 2 main explain kiye hain apki un par command
hona zarori hai. Q k baqi 3 parts main main nay har category k questions ko
solve kiya hai aur method main nay pehlay 2 parts main say he use kiye hain.
Aur agar apko pehlay 2 parts clear hain to believe me you can almost solve any
kind of Analytical Reasoning Problem, but, with one condition aur wo hai
PRACTICE. With practice aap is section main maximum score kar saktay hain.
DIFFERENT CATEGORIES OF
ANALYTICAL REASONING PROBLEMS
Pehlay main zara
apko remind karva don k kal jo main nay different categories k name apko bataye
thay wo ye thay.
1. Straight
Order
2. Scattered
Order
3. Suitable
Selections
4. Table
Seating Arrangements
a. Circular
Table Arrangements
b. Rectangular
Table Arrangements
5. Comparison
Problems
6. Networking
Problems
7. Matrix
Problems
8.
Relationship Problems
Aaj hum in may say category number
3 ko discuss karain gay.
3) Suitable Selections
Suitable Selection
category k questions main normally 2 ya 3 set diye hotay hain jin k darmayan
hamain de gai conditions k hisab say selection karni hoti hai. Yani hamain aik
baray group main say selection karni hoti hai. Normally in questions main is
tara ki statements hoti hain.
• To
form a committee of 6 people you will choose people from the group of teachers,
students and parents
• To
make a dish you have to choose ingredients from 2 combinations
•
To make a football team you have to choose
players from 3 different clubs etc . . .
Personally mujay is
category k question sab say zayada tricky lagtay hain q k jab aap nay aik
combination bananay k liye 3 groups main say selection karni hoti hai to aik
choti c mistake say apka sara question galat ho jata hai aur apka dher sara
time zaya ho jata hai. Aur ye sab say zayada time taking problems hotay hain.
Lekin iska ye matlab nahein k solve nahein hotay. Agar ap initial condition ko
thek tara interpret kar lete hain to beshak ye time consuming hai lekin phir b
solve lazmi ho jatay hain.
Important Note: Analytical Problems chahay kisi b category k hon agar hum wo tamam basic
rules aur precautions ko follow karain jo
pehlay 2 parts main explain ki gai hain to ap har type k questions ko easily solve kar lain gay.
Now let us solve one question of
Suitable Selection.
Problem Statement – Suitable
Selection:
The president of a
college wants to make a discipline committee by choosing members from a group
of 3 faculty members P, S and R, four administrative members T, U, V and W and
3 students X, Y and Z according to conditions given below,
i) The
committee will consist of seven members only ii) There must be at least as many faculty
members on the committee as there are students
iii) Number
of students may be zero iv) P
and Z cannot be selected together
v) T is selected, If and only if U is
selected vi) If V is selected then W
will also be selected
Questions 10 to 12:
10 –
Which of the following must be true of the committee?
A) Number
of students cannot be greater than number of Administrators
B) T
& W both cannot be selected together
C) All
three faculty members cannot be selected in committee
D) T
& U must be selected
E)
V & W must be selected
11 – If
exactly two faculty members and exactly two students are included in committee
then which of the following must be true?
A) Z
in not selected
B) W
is selected
C) X
is selected
D) Y
is selected E) S is selected
12 – If
both V and W are selected for the committee, then which of the following must
be true?
A) Neither
X nor W is selected
B) Neither
X nor Y is selected
C) Both
X and T are selected
D) Both
Y and U are selected
E)
V & X or V & Y is selected
Solution
Main nay kaha tha
na k ye question bohat tricky hotay hain a bap nay b dekh liya hoga k 3
different groups day diye hain aur un main say hum nay suitable selection karni
hai. Ab zara pehlay hum initial conditions ko summarize kar lete hain
i)
No. of Members in Committee = 7
Teno groups ko
members ko mila kar total 10 members bantay hain jin main say pehli condition k
mutabiq hum sirf 7 log select kar saktay hain.
ii)
No. of Faculty Member ≥ No. of Students
Yani committee
main kam az kam itnay faculty member lazmi hon gay jitney student hai. Aur
Faculty member student say zayada b ho saktay hain. iii) No. of students ≥ 0
Is condition main
kaha gaya tha k student MAY BE ZERO. Yani zero ho saktay hain lekin iska ye
hargiz matlab nahein hai k zero he hon gay.
iv)
P ≠ Z
Yani P aur Z ekathay kaam nahein
kar saktay
v)
T ≡ U
If and only if ka
matlab hai k agar T hoga to U b hoga aur agar U hoga to T be hoga. Yani dono
ekathay he select hon gay
vi)
V ⊃ W
Ab main zara in
tamam initial conditions ki representation ko aik he jaga par ekatha likh deta
hon
i) No. of Members in Committee
= 7 ii) No. of Faculty
Member ≥ No. of Students iii) No.
of students ≥ 0 iv) P ≠ Z
v) T ≡ U vi) V
⊃ W
Ab hum ye dekhain
gay k kaya hum initial conditions ko use kartay hoye further conclusions nikaal
saktay hain ya nahein. Kher muj say to koi further conclusion nahein nikla. But
again it doesn’t mean k koi b nahein nikal saktay . . .
Answers
10 – A
11 – B
12 – B
Explanations
Question – 10
Which of the following must be true
of the committee?
A) Number
of students cannot be greater than number of Administrators
B) T
& W both cannot be selected together
C) All
three faculty members cannot be selected in committee
D) T
& U must be selected
E)
V & W must be selected
Explanatory Answer
MUST BE TRUE wala question so you
know very well that what we are looking for.
Option A: True, q k as per initial
condition no iv, P aur Z kabi ekathay nahein aa saktay aur phir as per initial
condition no. ii, committee main kam az kam itnay faculty members to honay
chahiye jitney students hon. Is logic say committee main maximum 2 student
select kiye ja saktay hain. Aur 2 students hain to phir faculty member kam az
kam aur zayada say zayada 3 hon gay. Aur q k total group members 7 hain to
administrators b kam say kam 2 aur zayada say zayada 3 hon gay. To ye confirm
hai k number of student zayda ho he nahein saktay number of administrative say.
Option B: May be, T aur W ki koi
initial condition nahein de gai hai so ye dono ho b saktay hain aur nahein b
Option C: May be, Again 3 faculty b ho saktay hain aur 2 say b
group ban sakta hai.
Option D: False, Dono ko select kiye bagair b group create ho sakta
hai
Option E: False, Dono ko select kiye bagair b group create ho sakta
hai.
So, the correct answer is Option A
Question – 11
If exactly two
faculty members and exactly two students are included in committee then which
of the following must be true?
A) Z
in not selected
B) W
is selected
C) X
is selected
D) Y
is selected
E)
S is selected
Explanatory Answer
Extra condition say ye pata chalta hai k group main 2 faculty
members aur 2 student hon gay.
Iska matlab hai k
baqi 3 log Administration main say hon gay. Again question “Must be True” ka
hai. Now let us check our options
Option A: May be, q k sirf 2
students lene hain to Z ko liya b ja sakta hai aur nahein b.
Option B: True,
hamain extra condition say pata chalta hai k Administration say 3 log hon gay.
To T & U dono lazmi ayein gay. Aur V ko hum nahein lay saktay q k V liye to
W b lena paray ga aur 3 sy zayada hum lay nahein saktay. Lekin agar hum W lain
to as per initial condition no. iv V ko lena lazmi nahein hai so 3rd
Administrator will always be W.
Option C: May be, q k sirf 2
students lene hain to X ko liya b ja sakta hai aur nahein b.
Option D: May be, again sirf 2
students lene hain to Y ko liya b ja sakta hai aur nahein b.
Option E: May be, q k sirf 2
Faculty Member lene hain to S ko liya b ja sakta hai aur nahein b.
So, the correct answer option is B
Question – 12
If both V and W are selected for
the committee, then which of the following must be true?
A) Neither
X nor W is selected
B) Neither
X nor Y is selected
C) Both
X and T are selected
D) Both
Y and U are selected
E)
V & X or V & Y is selected
Explanatory Answer
Again extra
condition with Must be True question. Possible arrangement is given below. Let
us check our options
Possible
Arrangement V Z W
S R
T U
Option A: False, q k V select kiya gaya hai to phir as per initial
condition no iv hamain W ko b har baar select karna paray ga.
Option B: True, q
k agar V select hoa hai to W b hoga. Aur agar Z select hoa hai to kam az kam
1 faculty member
lazmi select ho ga. Is tara total 4 members ban jatay hain. Ab 3 reh gaye hain.
Agar hum air aur student X ya Y lete hain to hamain aik aur faculty member b
lena paray ga. Is tara 6 ho jayein gay. Phir 7th member ya T lena
paray ga ya U. Jab k dono separate nahein aa saktay. Is liye hum 2nd
student nahein lain gay.
Option C: False, q k oper Option B main
hum nay clear kar diya hai k hum sirf 1 he student lain gay aur wo b jo extra
condition main mention hai. Yani Z. To phir X to aa he nai sakta.
Option D: False, q k oper Option B main
hum nay clear kar diya hai k hum sirf 1 he student lain gay aur wo b jo extra
condition main mention hai. Yani Z. To phir Y to aa he nai sakta.
Option E: False, q k oper Option B main
hum nay clear kar diya hai k hum sirf 1 he student lain gay aur wo b jo extra
condition main mention hai. Yani Z. To phir X ya Y to aa he nai sakta.
So, our correct answer is option B.
Important Note: Meri aap sab say request hai k main techniques first 2 parts main
explain kar de gai hain aur 3 categories ki
examples b discuss kar de gai hain. Final part main baqi categories ki sirf 1, 1 example discuss ki gai hai. Aap bajaye
final part ka wait karnay k apni practice jari rakhiye ga.
Part 5
At last with the grace of Allah, I am representing the last part of short notes series. It is unbelievable for me that at last I have done it. I am also thankful to all group members who encouraged me to keep writing.
Ye sab say lengthy part hai lekin is k pages k number dekh kar tension mat le jiye ga q k is main 5 categories k 1, 1 example ko discuss kiya gaya. Is main main ne ye chezain cover ki hain.
• Table Seating Arrangement Problems with solved example
• Comparison Problems with solved example
• Networking Problems with solved example
• Matrix Problems with solved example
• Relationships Problems with solved example
In last but not least, I will say same thing . . . Key to Success to solve Analytical Problems is PRACTICE. With practice you can answer all questions correctly.
Important Note: Q k ye part bohat lengthy hai aut time b short hai is liye main nay examples k explanatory answers dene ki bajaye hints and answers diye hain. Baqi aap inko pehlay 2 parts main de gai techniques ko use kar k easily solve kar saktay hain.
DIFFERENT CATEGORIES OF ANALYTICAL REASONING PROBLEMS
Pehlay main zara apko remind karva don k different categories k name ye hain.
1. Straight Order
2. Scattered Order
3. Suitable Selections
4. Table Seating Arrangements
a. Circular Table Arrangements
b. Rectangular Table Arrangements
5. Comparison Problems
6. Networking Problems
7. Matrix Problems
8. Relationship Problems
In main say pehli 3 categories ko main nay Part 3 aur Part 4 main explain kar diya hai. Ab is last main hum baqi sari types ko discuss kar lain gay.
4) Table Seating Arrangements
As per my information har GAT k test main at least 1 question table k relevant zaror hota hai. Table seating arrangement k questions normally 2 tara k hotay hain. Rectangle table aur Round table. Dono types k questions hum unhi basics ko follow kar k solve karain gay jo hum part 1 aur part 2 main discuss kar chukhay hain. Is type k questions mostly is tara start hotay hain.
• Six people sitting around a circular table
• 8 people sitting around a rectangle table etc
Ab zara hum dono types k baray main kuch faraq dekh lete hain.
Rectangle Table Problems Circular Table Problems
Ye Circular Table Problems ki nisbat easy hotay hain Ye Rectangle Table Problems ki nisbat tough hotay hain
Is may seating arrangement ka starting point easily define kiya ja sakta hai. K left side say karain ya right side say Is main seating arrangement ka starting point define nahein kiya ja sakta q k table round hota hai to jahan say marzi start kar saktay hain
Easy to make arrangement q k hum aik table k 4 protions kar k dekh saktay hain k kon kahan aaye ga Difficult to make arrangement q k hum table ko divide nahein kar saktay
Example: 8 Peoples seating around a rectangle table . . . Example: 6 Peoples seating around a circular table . . .
Important Note: Analytical Problems chahay kisi b category k hon agar hum wo tamam basic rules aur precautions ko follow karain jo pehlay 2 parts main explain ki gai hain to ap har type k questions ko easily solve kar lain gay.
Now let us solve one question of Rectangle Table Seating Arrangement
Problem Statement – Rectangle Table Seating Arrangement:
Ten persons will sit around a table. The ten persons will be seated in two rows of five chairs that face each other along the two long sides of the rectangular table. The chairs are numbered consecutively from 1 to 10 with chairs 1 through 5 on one side of the table and chairs 6 through 10 on the other side, with chair 6 opposite chair 5. Five of the ten persons are men— F, G, H, J, and L—and five of the persons are women—M, R. S, T, and Y. The seating is governed by following rules:
I) On each long side of the table, no more than two consecutive chairs can be occupied by men.
II) T cannot sit beside H.
III) F cannot sit beside G.
IV) M must sit beside R. V) H must sit beside J.
Questions 13 to 17
13 – Which of the following can be the arrangement of people in chairs 1 through 5 ?
Chair 1 Chair 2 Chair 3 Chair 4 Chair 5
A) F H J M R
B) F G M T L
C) L M R J H
D) M G R Y L
E) S F T H J
14 – If J is in chair 7, H is in chair 8, and F is in chair 10, which of the following can be in chair 9?
A) L
B) M
C) R
D) T
E) Y
15 – If G, Y, and J are in chairs I through 3, respectively, which of the following must be in chair 5?
A) F
B) L
C) R
D) S
E) T
16 – If T, S, F, L, and Y are in chairs 1 through 5, respectively, then G must be either in chair
A) 6 or in chair 8
B) 6 or in chair 10
C) 7 or in chair 10
D) 8 or in chair 9
E) 8 or in chair 10
17 – If as many women as possible are seated on the side that has chairs numbered 1 through 5, which of the following statements must be true? A) Chair 3 is occupied by a man.
B) Chair 8 is occupied by a woman.
C) Chairs 1 and 2 are each occupied by a woman.
D) Chairs 4 and 5 are each occupied by a woman.
E) Chairs 5 and 6 are each occupied by a woman.
Solution
Due to shortage of time I am just providing hints to solution and answers. So try yourself.
Summarizing of statement and Initial conditions are given below,
Two Row of five Chairs
Men F G H J L
Women M R S T Y
Rules
Rule I, Men cannot sit on more than two consecutive Chairs
Rule II, T ≠ H ± 1
Rule III, F ≠ G ± 1
Rule IV, M = R ± 1
Rule V, H =J ± 1
Answers
13 – C
14 – E
15 – D
16 – B
17 – B
Hints
Question – 13
Which of the following can be the arrangement of people in chairs 1 through 5?
Chair 1 Chair 2 Chair 3 Chair 4 Chair 5
A) F H J M R
B) F G M T L
C) L M R J H
D) M G R Y L
E) S F T H J
Answer with Hints
1st Step: Check Rule I: A is wrong
2nd Step: Check Rule II: E is wrong
3rd Step: Check Rule III: B is wrong
4th Step: Check Rule IV: D is wrong
So, the correct answer is Option C
Question – 14
If J is in chair 7, H is in chair 8, and F is in chair 10, which of the following can be in chair 9?
A) L
B) M
C) R
D) T
E) Y
Answer with Hints
6 7 8 9 10
As question J H F
As Rule I, G & L cannot sit,
As Rule II, T ≠ H ± 1, so T cannot sit,
As Rule IV, M = R ± 1, so both M & R cannot sit
Then remaining S & Y can sit J H S/Y F
Check the choices,
So, the correct answer is Option E
Question – 15
If G, Y, and J are in chairs I through 3, respectively, which of the following must be in chair 5?
A) F
B) L
C) R
D) S
E) T
Answer with Hints
1 2 3 4 5 As question G Y J
As Rule V, H = J ± 1, so H = 4 G Y J H
As Rule I, Men cannot sit at 5
As Rule II, T ≠ H ± 1, so T cannot sit
As Rule IV, M = R ± 1, so both M & R cannot sit
Then remaining S must be sit at 5 G Y J H S
So, the correct answer is Option D
Question – 16
If T, S, F, L, and Y are in chairs 1 through 5, respectively, then G must be either in chair
A) 6 or in chair 8
B) 6 or in chair 10
C) 7 or in chair 10
D) 8 or in chair 9
E) 8 or in chair 10 Answer with Hints
Remaining Men = G, H, J
Remaining Women = R, M
As Rule I, G, H, J cannot sit together
As Rule V, H = J ± 1, so H & J must sit together
As Rule IV, M = R ± 1, so M & R must sit together
Then only two possibility of sitting are as
6 7 8 9 10
Option 1 G R M H J
Option 2 J H M R G
Check the choices,
So, the correct answer is Option B
Question – 17
If as many women as possible are seated on the side that has chairs numbered 1 through 5, which of the following statements must be true? A) Chair 3 is occupied by a man.
B) Chair 8 is occupied by a woman.
C) Chairs 1 and 2 are each occupied by a woman.
D) Chairs 4 and 5 are each occupied by a woman.
E) Chairs 5 and 6 are each occupied by a woman.
Answer with Hints
As many Women as possible are Chaired on first bench, then on second bench few Women as possible as will chaired.
There is only one restriction of Rule I, if four Men Chaired on second bench then one Women will
Chaired between them and that Chair will be 8th.
6 7 8 9 10 M M W M M
So, the correct answer is Option B
Problem Statement – Circular / Round Table Seating Arrangement:
Six students—F, G, H, I, J, and K—are to be seated at a round table for group study. There are six seats around the table. Each student sits facing the center of the table and is directly opposite a student across the table. The seating arrangement is subject to the following restrictions: I) K cannot sit next to H.
II) J cannot sit next to F.
III) I must sit next to F.
Questions 18 to 22
18 – If I sit next to J on J’s right side, who must sit next to I on I’s right side?
A) F
B) G
C) H
D) J
E) K
19 – Which of the following is an acceptable sequence of students around the table?
A) F, J, I, K, H, G
B) F, J, K, H, I, G
C) K, G, H, J, F, I
D) K, I, F, H, J, G
E) K, J, I, F, G, H
20 – If F sits next to H, which of the following is a complete and accurate list of those who can sit next to H on H's other side?
A) G
B) G, J
C) G, J, I
D) I, J, K
E) G, I, J, K
21 – If K sits next to F and J sits next to I, which of the other students must sit next to J?
A) F
B) G
C) H
D) I
E) K
22 – If K sits directly across the table from G, who must sit on either side of H?
A) F and G
B) F and J
C) G and I
D) G and J
E) I and K
Solution
Due to shortage of time I am just providing hints to solution and answers. So try yourself.
Summarizing of statement and Initial conditions are given below,
Students F G H I J K
Rules
Rule I: K ≠ H ± 1
Rule II: J ≠ F ± 1
Rule III: I = F ± 1
Answers
18 – A
19 – D
20 – B
21 – C
22 – D
Hints
Question – 18
If I sit next to J on J’s right side, who must sit next to I on I’s right side?
A) F
B) G
C) H
D) J
E) K
Answer with Hints
As Rule III, I = F ± 1, so F will sit on right side of I
So, the correct answer is Option A
Question – 19
Which of the following is an acceptable sequence of students around the table?
A) F, J, I, K, H, G
B) F, J, K, H, I, G
C) K, G, H, J, F, I
D) K, I, F, H, J, G
E) K, J, I, F, G, H
Answer with Hints
1st Step: Check Rule I: E, A, B is wrong
2nd Step: Check Rule II: C is wrong
So, the correct answer is Option D
Question – 20
If F sits next to H, which of the following is a complete and accurate list of those who can sit next to H on H's other side?
A) G
B) G, J
C) G, J, I
D) I, J, K
E) G, I, J, K
Answer with Hints
Q k table round hai is liye seat number 1 say start kar k ghom kar wapas 1 par aa jayein gay
1 2 3 4 5 6 1
As question F H F
As Rule III, I = F ± 1, so I = 6
As Rule I, K cannot sit with H F H I F
Then G and J can sit with H, so F H G/J I F
Check the choices,
So, the correct answer is Option B
Question – 21
If K sits next to F and J sits next to I, which of the other students must sit next to J?
A) F
B) G
C) H
D) I
E) K
Answer with Hints
1 2 3 4 5 6 1
As question and Rule III K F I J K
Then remaining as Rule I, K ≠ H ± 1, so K F I J H G K
So, the correct answer is Option C
Question – 22
If K sits directly across the table from G, who must sit on either side of H?
A) F and G
B) F and J
C) G and I
D) G and J
E) I and K
Answer with Hints
Let K = 1, then G = K + 3= 1 + 3 = 4
1 2 3 4 5 6 1
As question
As Rule I, H ≠ 2, 6, then H = 3, 5 K G K
Option 1 K H G K
Option 2
Remaining as Rule III K G H K
Option 1 K J H G I F K
Option 2 K I F G H J K
Check the choices,
So, the correct answer is Option D
Important Note: GAT Test main mostly pehli 4 categories k he questions aatay hain so zayada unhi par concentrate karain
5) Comparison Problems
Category k name say he pata chal raha hai k kis tara k question ho saktay hain. In main hum nay compare karna hota hai. Is type k question normally is tara ki statement rakhtay hain.
• Aslam is taller than Bilal but shorter than Chand
• Irfan is heavier than Jamil but lighter than Kashif etc
Question solving techniques wohi hai which I have already explained in Part 1 and Part 2. Now let us solve an example,
Problem Statement – Comparison Problems
A Doctor is doing an informal study of the growth of exactly seven dogs—G, N, O, U, V, W and X—all six-month-old doggies from the same area . The Doctor assistant collected the following comparative data concerning the dogs’ heights: I) V is taller than X.
II) U is taller than W.
III) G is taller than X.
IV) O is taller than N, but X is taller than O.
None of the seven dogs is exactly the same height as any other dog from the area.
Questions 23 to 26
23 – Which of the following could be the correct ordering of the dogs from tallest to shortest?
A) G, V, X. N, U. O, W
B) U, W, G, X, O, V, N
C) V, G, X, O, U, N, W
D) V, X, U, O, W, G, N
E) W, V. G, X, O, U, N
24 – Which of the following must be true? A) G is taller than O.
B) G is taller than V. C) U is taller than O.
D) W is taller than N.
E) X is taller than W.
25 – If W is taller than X which of the following must be true? A) U is taller than G.
B) U is taller than O.
C) U is taller than V.
D) V is taller than G.
E) X is taller than U.
26 – If X is taller than U, any of the following can be true EXCEPT: A) N is taller than U.
B) U is taller than O.
C) U is taller than V.
D) W is taller than N.
E) W is taller than O.
Solution
Due to shortage of time I am just providing hints to solution and answers. So try yourself.
Summarizing of statement and Initial conditions are given below,
Dogs = G, N, O, U, V, W, X
Rules
Rule I, V > X
Rule II, U > W
Rule III, G > X
Rule IV, X > O > N
New Rule
Arrange the dogs according to Rules V, G > X > O >N
Answers
23 – C
24 – A
25 – B
26 – C
Hints
Question – 23
Which of the following could be the correct ordering of the dogs from tallest to shortest?
A) G, V, X. N, U. O, W
B) U, W, G, X, O, V, N
C) V, G, X, O, U, N, W
D) V, X, U, O, W, G, N
E) W, V. G, X, O, U, N
Answer with Hints
1st Step: Check New Rule: A, B, D is wrong
2nd Step: Check Rule II: E is wrong
So, the correct answer is Option C
Question – 24
Which of the following must be true? A) G is taller than O.
B) G is taller than V.
C) U is taller than O.
D) W is taller than N.
E) X is taller than W.
Answer with Hints
As per New Rule the correct answer is Option A
Question – 25
If W is taller than X which of the following must be true? A) U is taller than G.
B) U is taller than O.
C) U is taller than V.
D) V is taller than G.
E) X is taller than U. Answer with Hints
If W > X
As Rule II: U > W and as Rule IV: X > O > N, then sequence will be as
U > W > X > O > N
Check the choice
So, the correct answer is Option B
Question – 26
If X is taller than U, any of the following can be true EXCEPT: A) N is taller than U.
B) U is taller than O.
C) U is taller than V.
D) W is taller than N.
E) W is taller than O.
Answer with Hints
If X > U then as New Rule will be as
V, G > X > O, U
Check the choice,
So, the correct answer is Option C
6) Networking Problems
Networking k questions mostly roads ya stations k relevant hotay hain. Yani aik jaga say dosri jaga travelling karni ho to kon kon say roads udhar jatay. Wo roads One way hain ya Two way hain. Phir different conditions day kar pocha jata hai. K aik jaga say dosri jaga tak kis kis tara ja sakta hai. Is type k problems main normally is tara ki statements hoti hain.
• There are six stations on a railway track.
• In a city 3 two way roads and 4 one way roads from a square . . . etc
Question solving techniques wohi hai which I have already explained in Part 1 and Part 2. Now let us solve an example,
Important Note: Is type k question solve kartay hoye is bat ka khayal rakhna hota hai k road TWO WAY hai ya ONE WAY. Agar is chez ki care ki jaye to question kabi b galat solve nahein hoga.
Problem Statement – Networking Problems
A boy uses a motor cycle to pick up aids of unsold food and garmenting from stores and deliver them to locations where they can be distributed. He drives only along a certain network of roads. In the network there are two-way roads connecting each of the following pairs of points: A with B, A with C, A with E, B with F, C with G, E with F, and F with G. There are also one-way roads going from B to D, from C to B, and from D to C. There are no other roads in the network, and the roads in the network do not intersect. To make a trip involving pickups and deliveries, the boy always takes a route that for the whole trip passes through the fewest of the points A through G, counting a point twice if he boy passes through it twice. The boy's house is at point C. Aids can be picked up at a General Store at point A, a garmenting store at point E, and a bakery at point D, Deliveries can be made as needed to a tutoring center at point B, a distribution center at point F, and a supermarket at point G.
Questions 27 to 30
27 – If the boy starts at the General Store and next is to go to the supermarket, the-first intermediate point of his route passes through must be
A) B
B) C
C) E
D) F
E) G
28 – If, starting from house, the boy next is to make pickups for the supermarket at the General Store and the bakery (in either order), the first two intermediate points on his route, beginning with the first, must be
A) A and B
B) A and C
C) B and A
D) B and D
E) D and B
29 – If, starting from the garmenting store, the boy next is to pick up bread at either the General Store or the bakery (whichever stop makes his route go through the fewest of the points) and then is to go to the supermarket, the first two points be reaches after the garmenting store, beginning with the first, must be
A) A and B
B) A and C
C) D and B
D) F and B
E) F and D
30 – If the boy is to make a trip starting at the supermarket, next going to the bakery for a pickup, and then ending at the distribution center, the first two intermediate points on his route, beginning with the first, can be
A) C and A
B) C and D
C) D and B
D) F and B
E) F and E
Solution
Due to shortage of time I am just providing hints to solution and answers. So try yourself.
Networking ka question solve karnay k liye hamesha diagram banana parti hai. Agar 2 destinantions k darmayan line k dono ends par arrow bana ho to wo Two Way Road hota hai aur agar sirf 1 end par arrow bana ho to wao One Way Road hota hai aur uski direction Tail say Head ki taraf hoti hai. For example nechay de gai diagram main line between A and B is two way. Jab k line between B and C is one way jis ki direction C say B ki taraf hai.
Summarizing the conditions
Two Way Roads a ↔ (b, c, e) b ↔ f c ↔g e ↔ f f ↔ g
One Way Roads b →d c → b d → c
Object passes through fewest points.
H = c G.S = a G = e B = d T.C = b D = f S.M = g
Diagram
Answers
27 – B
28 – A
29 – B
30 – D
Hints
Question – 27
If the boy starts at the General Store and next is to go to the supermarket, the-first intermediate point of his route passes through must be
A) B
B) C
C) E
D) F
E) G
Answer with Hints
G.S → S.M or a → g
Shortest Route a → c → g
So, the correct answer is Option B
Question – 28
If, starting from house, the boy next is to make pickups for the supermarket at the General Store and the bakery (in either order), the first two intermediate points on his route, beginning with the first, must be
A) A and B
B) A and C
C) B and A
D) B and D
E) D and B
Answer with Hints
H → G.S → B or c → a → d
Shortest Route c → a → b → d
Two intermediate a and b
So, the correct answer is Option A
Question – 29
If, starting from the garmenting store, the boy next is to pick up bread at either the General Store or the bakery (whichever stop makes his route go through the fewest of the points) and then is to go to the supermarket, the first two points be reaches after the garmenting store, beginning with the first, must be
A) A and B
B) A and C
C) D and B
D) F and B
E) F and D
Answer with Hints
G→ G.S/B →S.M or e → a, d → g
Shortest Route e → a → c → g
Intermediates a and c
So, the correct answer is Option B
Question – 30
If the boy is to make a trip starting at the supermarket, next going to the bakery for a pickup, and then ending at the distribution center, the first two intermediate points on his route, beginning with the first, can be
A) C and A
B) C and D
C) D and B
D) F and B
E) F and E
Answer with Hints
S.M → B and D
Shortest Route or g → d & f
Option 1 g → c → b → d →c → b → f
Option 2 g → f → b → d → c → b → f
First two Intermediates c and b or f and b
Check the choices,
So, the correct answer is Option D
7) Matrix Problems
Sometime aisa hota hai k kisi question k main kisi banday ki aik say zayada skills de hoti hain aur uski skills k mutabiq hum nay us say kaam lene hotay hain. Yani aik he bada ho kabi us say mechanic ka kaam lain kabi carpenter ka. Ab aisi problems ko hal karnay k liye usay tabular form main likh diya jata hai jisay matrix b kaha jata hai. Phir us table k madad say question solve karnay bohat asaan ho jatay hain. Is type k questions main is tara ki statements hoti hain.
• Ali can work as mechanic, carpenter and packer
• Bilal has the ability to do work as driver and cook . . . etc
Now let us solve an example,
Problem Statement – Matrix Problems
5 people Ghazi, Hamid, Imran, Jamil and Kashif work in a factory. On any given shift, a person can be assigned to one of five jobs: Mechanic, Truck Driver, Packer, Weigher or Dispatcher.
I) Ghazi can work as mechanic, packer or weigher
II) Hamid can work as either packer or weigher
III) Imran can work as mechanic, truck driver or dispatcher
IV) Jamil can work as truck driver or dispatcher
V) Kashif can work as truck driver or weigher
Questions 31 to 32
31 – If Jamil is not assigned to function as dispatcher, then all of the following must be true EXCEPT:
A) Ghazi is mechanic
B) Hamid is the dispatcher
C) Jean is the truck driver
D) Hamid is the packer
E) Kashif is the weigher
32 – If Ghazi is assigned as mechanic, which of the following must be true?
A) Hamid is packer
B) Kashif is weigher
C) Imran is truck driver
D) Jamil is dispatcher
E) Hamid is weigher
Solution
Is main hum aik matrix bana lain gay jis k column main hum Persons k name aur row main un k functions likh lain gay.
It will be like this
Mechanic Truck
Driver Packer Weigher Dispatcher
Ghazi
Hamid
Imran
Jamil
Kashif
Ab hum bari bari apni initial condtions ko dekhtay hovay isko fill kartay jayein gay. After applying Initial Condition I, the table values are given below,
M TD P W D
G ● ● ●
H
I
J
K
After applying Initial Condition II, the table values are given below,
M TD P W D
G ● ● ●
H ● ●
I
J
K
After applying Initial Condition III, the table values are given below,
M TD P W D
G ● ● ●
H ● ●
I ● ● ●
J
K
After applying Initial Condition IV, the table values are given below,
M TD P W D
G ● ● ●
H ● ●
I ● ● ●
J ● ●
K
After applying Initial Condition V, the table values are given below,
M TD P W D
G ● ● ●
H ● ●
I ● ● ●
J ● ●
K ● ●
So, after summarizing all initial conditions we find above matrix giving us a picture k kon kaya kaya kar sakta hai.
Answers
31 – B
32 – A
Hints
Question – 31
If Jamil is not assigned to function as dispatcher, then all of the following must be true EXCEPT:
A) Ghazi is mechanic
B) Hamid is the dispatcher
C) Jean is the truck driver
D) Hamid is the packer
E) Kashif is the weigher
Explanatory Answer
Is question main hamain jo extra condition de gai hai hum us ko apnay matrix main daal ka solution nikaal lain gay.
M TD P W D
G ● ● ●
H ● ●
I ● ● ●
J ●
K ● ●
Table say bara wazaya pata chal raha hai k Hamid dispatcher ho he nahein sakta.
So, the correct answer is Option B
Question – 32
If Ghazi is assigned as mechanic, which of the following must be true?
A) Hamid is packer
B) Kashif is weigher
C) Imran is truck driver
D) Jamil is dispatcher
E) Hamid is weigher
Explanatory Answer
Is question main hamain jo extra condition de gai hai hum us ko apnay matrix main daal ka solution nikaal lain gay.
M TD P W D
G ● ● ●
H ● ●
I ● ● ●
J ● ●
K ● ●
Table say bara wazaya pata chal raha hai k agar Ghazi mechanic hai to wo Packer ya Weigher ki job nahein kar sakta to phir Packer sirf Hamid he ho sakta hai.
So, the correct answer is Option A
8) Relationships Analytical Problems
Ye wo questions hotay hain jin main pocha jata hai k Kon kis ka kaya lagta hai . . . yani family relationships ka pocha jata hai. Aisay questions ko hum FAMILY TREE bana kar easily solve kar saktay hain. Is type k questions is tara say start hotay hain.
• Ali has a mother, wife and two children.
• Bilal is son of Ali, Ali is son of Akbar, Akbar is brother of Jamal . . . etc
Useful Relationships:-
Ye relationship is tara say diye gaye hain k aap nay khud ko base lena hai.
a. Mother’s or father’s son- Brother
b. Mother’s or father’s Daughter - Sister
c. Mother’s or father’s Sister - Aunt
d. Mother’s or father’s Mother- Grand mother
e. Mother’s or father’s Father - Grand Father
f. Son’s wife - daughter in law
g. Daughter’s husband – Son in law
h. Brother’s son - Nephew
i. Brother’s Daughter – Niece
j. Uncle or Aunt’s son or daughter - Cousin
k. Grandfather’s only daughter in law- Mother
l. Grandfather’s Son – Father 0r Uncle
Now let us solve an example,
Problem Statement – Relationships
Bira, an only child, is married and she and her husband have two children, Nasir and Samina.
Nasir is Parveen’s nephew by blood and Vicky’s grandson. Vicky and his wife had only two children Fahad and his sister plus four grandchildren (Two boys and Two girls). Warda is Samina’s grandmother.
Questions 33 to 34
33 – All of the following must be true EXCEPT:
A) Warda is Vicky’s wife
B) Vicky is Samina’s grandfather
C) Vicky is Bilal’s father in law
D) Parveen is Bilal’s sister in law
E) Fahad is Samina’s father
34 – Which of the following could be true?
A) Samina is Nasir’s sister
B) Nasir has exactly two cousins
C) Parveen has one son and one daughter
D) Bilal has only one nephew
E) Warda is Fahad’s mother
Solution
Is k solution k liye hamain Family Tree banana paray ga us ki madad say hamara question palak jhapaktay solve ho jaye ga.
Male k liye ka sign use kiya gaya hai
Female k liye ka sign use kiya gaya hai
Mian aur BV k relation double line ‘=’ say zahir kiya gaya hai
Mian aur BV ki aulad ko Down line say zahar kiya gaya hai
Bhai aur Behan k liye dotted signle line - - - - - ko use kiya gaya hai
Ab zara hum question ki statement ko parhtay hoye family tree develop kar lete hain.
Bira, an only child, is married and she and her husband have two children, Nasir and Samina.
Yaha tak hamain ye pata chal raha hai k Bira apnay maa baap ki akloti beti hai aur us k 2 bachay hain Nasir aur Samina
Jab b family tree banana ho to ye zarori nahein hota k sirf un ko show kiya jaye jin j name hain. Hamain puri Husband Wife ki theory ko follow karna parta hai. Jis ka pata ho k kon hai usay label kar dete hain aur agar kisi ka na pata ho to usay blank chor dete hain.
Ab statement thori mazeed parh kar dekhtay hain.
Nasir is Parveen’s nephew by blood and Vicky’s grandson
Ab yahan say ye pata chalta hai k Parveen Nasir ki Phupho yani Bira k husband ki behan hai aur Vicky Nasir ka Dada hai ya Nana abi ye clear nahein hai. Lekin sawal ye paida hota hai k ye kese pata chala k Parveen Nasir ki phupho hai Khala nahein to jawab bara simple hai k Bira to apnay maa baap ki akloti beti hai us ka koi behan bhai nahein hai.
Ab hum baqi information lay kar apna family tree complete kartay hain.
Vicky and his wife had only two children Fahad and his sister plus four grandchildren (Two boys and Two girls). Warda is Samina’s grandmother
Ab yahan say ye sabat ho gaya k gaya k Vicky Nasir ka dada hai q k Bira to akloti hai jab k Vicky k 2 bachay hain Parveen aur Fahad. Iska ye b matlab hai k Fahad Bira ka husband hai.
Aik aur chez clear hoti hai k Vicky k 2 potay 2 potiyan hain. 2 to Fahad k through hain iska matlab baqi 2 Parveen k through hain.
Lekin aik chez abi b unclear hai wo hai Warda. Us k baray main hum ye clear nahein keh saktay k wo Samina ki Dadi hai ya Nani.
Complete Family Tree
Answers
33 – A
32 – E
Explanations
Question – 33
All of the following must be true EXCEPT:
A) Warda is Vicky’s wife
B) Vicky is Samina’s grandfather
C) Vicky is Bira’s father in law
D) Parveen is Bira’s sister in law
E) Fahad is Samina’s father
Explanatory Answer
Hum apnay question ko family tree say check karain gay to hamain pata chalta hai k tamam options correct hain swaye A k. Q k Warda ka clear nahein hai ko Wo Victor ki bv hai ya nai. So, the correct answer is Option A
Question – 34
Which of the following could be true?
A) Samina is Nasir’s sister
B) Nasir has exactly two cousins
C) Parveen has one son and one daughter
D) Bira has only one nephew
E) Warda is Fahad’s mother
Explanatory Answer
Is question main pocha gaya hai k kaya sach ho sakta hai. Agar hum sab options ko family tree say compare karain to hamain pata chalta hai k har chez exactly true hai swaye option E k. Q k wo ho b sakta hai aur nahein b. Aur q k hum say COULD BE ka question kiya gaya hai is liye. The correct answer is Option E
THE END
Please remember me in your prayers (Muhammad Usman Yousaf)
This guide book was originally shared in a group and we re-shared it to help more people.
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