### PIEAS entry test

#### Mathematics

1) A=[1,2,3,4]B=(x,y,z)

F(x)=[(1,x),(2,x),(3,y),(4,y)

Is which function?

(a) One to one

(b) Onto

(c) Not onto

(d) Bijective

2) Value of (tanx)/(1+tanx) as x comes closer and closer to pi/2

(a) 1

(b) Infinity

(c) pi/2

(d) None of these

3) The series 1/3.4 + 1/4.5 +.... 1/(n+2)(n+3)+.....is

(a) Divergent

(b) Convergent

(c) Fluctuating

(d) None of these

4) Which of the following is the Volume of right circular cone?

(a) 2/3 pi r^2 h

(b) 3/2 pi r^2 h

(c) 1/2 pi r^2 h

(d) 1/3 pi r^2 h

5) The number of arrangement of letters in TALLAHASSEE with no two A's adjacent...

A..1 million

B..423,360

C..423036

D..423630

6) The smallest perimeter of a rectangle having area 25 cm ^2 is:

(a) 16 cm

(b) 20 cm

(c) 25

(d)10

7) If a notorius postman delivers 4 letters to four houses in such ways that none gets the right letter then how many total ways can there be?

(a) 2

(c) 3

(c) 5

(d) 9

8) The volume of solid cylinder if y=x^2 and x may be in between 0 to 2 is

(a) 32/(3pi)

(b) 32/(6pi)

(c) 15/(16pi)

(d) None of these

9) A=[0 -1 1]t

B=[-3 1 1]t

angle b/w them (t is transpose)

a) 1.6 rad

b) 1.4 rad

c) 1.5 rad

10) (options and equation of this mcq not sure ) solution of three lines

x-y=2

2x+y=2 x+y=-2

a) 1 b)infine c)intermediately d)none

11) What is the inverse of the function y=x^3 - 1

(a) cuberoot(x+1)

(b) cuberoot(x^3 + 1)

(b) x^3 + 1

(d) sqroot(x^2 + 1)

12) (i+1/i-1)*12 = ??

13) |3/4 x - 1| = |1/2 x + 1|

(a) x=0,3

(b) x=0,4

(c) x=0,2

(d) x=7,6

13) )Rank of matrix

[ 2 5 3]

[ 1 -1 3]

[ 5 0 3]

(a) 1

(b) 2

(c) 3

(d) zero

14) The domain of the function y=sqroot(2x^2 + 5x - 12) is

(a) [-infinity,+infinity]

(b) (-infinity,4] U [3/2,infinity)

(c) (-infinity, +infinity)

(d) None of these

15) The 9th term in the expansion of (1/y - 2/x)^11 is

(a) 165x^3/8y^8

(b) 165y^3/8x^3

(c) 1520y^9/2x^3

(d) None of these

16)The volume of solid cylinder if y=x^2 and x may be in between 0 to 2 is

(a) 32/(3pi)

(b) 32/(6pi)

(c) 15/(16pi)

(d) None of these

17) The roots of the equation x^3 - ax^2 + x + 1=0 are 1,-1,2. Then the value of a will be

(A) -1

(b) 1

(c) 2

(d) None of these

18) The solid cylinder y=x is rotated around x-axis. Which of the following can be it?

(a) Hyperbloid Revolution

(b) Parabloid Revolution

(c) Right circular cone

(d) Ellipsoid Revolution

19) The concavity of the function y=x^3 - x^2 - 6x + 3 is

(a) [0.5,-0.5]

(b) [0.5,2.5]

(c) [-0.5,0.25]

(d) None of these

20) limit x approaches 0 (sinx)/(1+cosx)

(a) 0

(b) Infinity

(c) 1

(d) None of these

Kindly post your feedback and answers in comments.

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