**NUST Entrance Test (NET)**

**Intelligence Questions**

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.

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.

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.

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 × 1

3 × 5

So, missing term = 3 × 7

^{2}, 3 × 2^{2}, 3 × 3^{2}, 3 × 4^{2},3 × 5

^{2}, 3 × 6^{2}, .......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.

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.

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., 1

So, missing term = 5

^{3}, 2^{2}, 3^{3}, 4^{2}, .....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.

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.

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.

So, missing term = 10 × 10 + 1 = 101.

11. 1, 4, 9, 16,
25, ?

A. 24

B. 36

C. 41

D. 43

The numbers are 1

So missing number = 6

^{2}, 2^{2}, 3^{3}, 4^{2}, ....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.

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. 1

So, missing term = 11

^{2}, 3^{2}, 5^{2}, 7^{2}, 9^{2},.....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.

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. 1

So, missing term = 9

^{2}, 3^{2}, 5^{2}, 7^{2}, ....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.

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.

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.

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.

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.

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

So, missing term = 28 + ( 5

i.e. + ( 1

^{2}- 1 ), + ( 2^{2}- 1 ), + ( 3^{2}- 1 ) + ( 4^{2}- 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.

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.

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.

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

So, missing term = 815 - ( 84 × 2

i.e. + 84, - ( 84 × 2), + ( 84 × 2

^{2}), .....So, missing term = 815 - ( 84 × 2

^{3}) = 815 - 672 = 143.
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