Wednesday, 3 August 2016

Complete the Series NET mcqs with solution

NUST Entrance Test (NET)
Intelligence Questions
Sequence (Series Completion)
series completion
1.         6, 13, 28, 59, ?
A. 111
B. 122
C. 126
D. 128
The pattern is × 2 + 1, × 2 + 2, × 2 + 3 +.....
So, missing term = 59 × 2 + 4 = 112.


2.         4, 12, 36, 108, ?
A. 124
B. 216
C. 304
D. 324
The pattern is × 3.
So, missing term = 108 × 3 = 324.


3.         1, 3, 4, 8, 15, 27, ?
A. 45
B. 50
C. 55
D. 60
The Sum of any three consecutive terms of the series given to the next term.
So, missing number = 8 + 15 + 27 = 50.

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4.         3, 12, 27, 48, 75, 108, ?
A. 147
B. 157
C. 163
D. 182
The terms of the given series are 3 × 12, 3 × 22, 3 × 32, 3 × 42, 
3 × 5
2, 3 × 62, .......
So, missing term = 3 × 7
2 = 3 × 49 = 147.


5.         28, 33, 31, 36, -----, 39?
A. 30
B. 32
C. 33
D. 34
The pattern is + 5, - 2, + 5, - 2, ....
So missing term = 36 - 2 = 34.

6.         0.5, 0.55, 0.65, 0.8?
A. 0.7
B. 0.9
C. 0.95
D. 1
The pattern is + 0.05, + 0.10, + 0.15, .....
So, missing term = 0.8 + 0.20 = 1.

7.         1, 4, 27, 16, ?, 36, 343
A. 50
B. 78
C. 125
D. 132
Clearly, the given series consists of cubes of odd numbers and square of even numbers i.e., 13, 22, 33, 42, .....
So, missing term = 5
3 = 125.

8.         6, 11, 21, 36, 56, ?
A. 41
B. 51
C. 71
D. 81
The pattern is + 5, + 10, + 15, + 20,....
So, missing term = 56 + 25 = 81.


9.         13, 35, 57, 79, 911, ?
A. 1113
B. 1315
C. 1110
D. 1140
The terms of the given series are numbers formed by joining together consecutive odd numbers in order.
i.e. 1 and 3, 3 and 5, 5 and 7, 7 and 9, 9 and 11,.....
So, missing term = number of formed by joining 11 and 13 = 1113.

10.       11, 10, ?, 100, 1001, 1000, 10001
A. 101
B. 110
C. 111
D. 121
The pattern is - 1, × 10 + 1, - 1, × 10 + 1, - 1, × 10 + 1, ....
So, missing term = 10 × 10 + 1 = 101.

11.       1, 4, 9, 16, 25, ?
A. 24
B. 36
C. 41
D. 43
The numbers are 12, 22, 33, 42, .... 
So missing number = 6
2 = 36.

12.       10, 14, 26, 42, 70, ?
A. 100
B. 102
C. 106
D. 114
Each term of the series, except the first two terms, is 2 more than the sum of the preceding two terms
So, missing term = (42 + 70 ) = 114.

13.       1, 9, 25, 49, 81, ?
A. 103
B. 112
C. 121
D. 144
The series consists of squares of consecutive prime numbers i.e. 12, 32, 52, 72, 92,.....
So, missing term = 11
2 = 121.

14.       2, 6, 12, 20, 30, 42, 56, ?
A. 50
B. 60
C. 72
D. 78
The sequence is 1 × 2, 2 × 3, 3 × 4, 4 × 5, 6 × 7, 7 × 8.
So missing term = 8 × 9 = 72.

15.       1, 9, 25, 49, ?, 121
A. 72
B. 76
C. 78
D. 81
The given series consists of squares of consecutive odd numbers. i.e. 12, 32, 52, 72, ....
So, missing term = 9
2 81.

16.       90, 180, 12, 50, 100, 200, ?, 3, 50, 4, 25, 2, 6, 30, 3
A. 125
B. 150
C. 175
D. 250
Clearly, 90 = 30 ×3, 180 = 6 × 30, 12 = 2 ×6, 50 = 25 ×2, 
100 = 4 × 25, 200 = 50 × 4.
So, missing term = 3 × 50 = 150.

17.       5, 6, 9, 15, ?, 40
A. 21
B. 23
C. 25
D. 27
The pattern is + 1, + 3, + 6,.....
i.e. + 1, + (1, + 2), + ( 1 + 2 + 3),....
So missing term = 15 + ( 1 + 2 + 3 + 4 ) = 25.

18.       120, 99, 80, 63, 48, ?
A. 32
B. 35
C. 38
D. 39
The pattern is - 21, - 19, - 17, - 15,.......
So, missing term = 48 - 13 = 35.

19.       4, 10, ?, 82, 244, 730
A. 24
B. 28
C. 77
D. 218
Each number in the series is 2 less than thrice the preceding number.
So missing number = ( 10 × 3 ) - 2 = 28.


20.       1, 1, 2, 6, 24, ?, 720
A. 101
B. 106
C. 110
D. 120
The pattern is ×1, ×2, ×3, ×4,...
So, missing term = 24 × 5 = 120.


21.       2, 2, 5, 13, 28, ?
A. 47
B. 49
C. 50
D. 52
The pattern is + 0, + 3, + 8, + 15, .....
i.e. + ( 1
2 - 1 ), + ( 22 - 1 ), + ( 32 - 1 ) + ( 42 - 1 ),... 
So, missing term = 28 + ( 5 
2 - 1) = 28 + 24 = 52.


22.       11, 13, 17, 19, 23, 25, ?
A. 25
B. 27
C. 29
D. 31
The pattern is + 2, + 4, + 2, + 4, .....
So, missing term = 25 + 4 = 29.

23.       66, 36, 18, ?
A. 3
B. 6
C. 7
D. 8
Each term in the series is the product of the digits of the preceding term.
So, missing term = 1 × 8 = 8.

24.       5, 2, 7, 9, 16, 25, ?
A. 41
B. 43
C. 45
D. 48
Each term in the series, except the first two terms, is the sum of the preceding two terms.
So, missing term = 16 + 25 = 41.

25.       563, 647, 479, 815, ?
A. 672
B. 386
C. 279
D. 143
The pattern is + 84, - 168, + 336,......
i.e. + 84, - ( 84 × 2), + ( 84 × 2
2), .....
So, missing term = 815 - ( 84 × 2
3) = 815 - 672 = 143.



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