0
149

Download Number Series Questions for TISSNET PDF – TISSNET Number Series questions PDF by Cracku. Practice TISSNET solved Number Series Questions paper tests, and these are the practice question to have a firm grasp on the Number Series topic in the TISSNET exam. Top 20 very Important Number Series Questions for TISSNET based on asked questions in previous exam papers.  The TISSNET question papers contain actual questions asked with answers and solutions.

Instructions

In each of the following questions a number series is given.After the series , a number is given followed by a (a),(b),(c),(d) and (e).You are required to complete the series starting with the number given following the sequences of the given series?

Question 1: 12  24  96  576  4608
5   (a)  (b)  (c)     (d)       (e)
What will come in place of (c) ?

a) 1080

b) 676

c) 3608

d) 3456

e) None of these

Solution:

The pattern followed is that all the even natural numbers are multiplied.

12 $\times 2$ = 24

24 $\times 4$ = 96

96 $\times 6$ = 576

576 $\times 8$ = 4608

Similarly,

5 $\times 2$ = 10

10 $\times 4$ = 40

40 $\times 6$ = 240

=> Ans – (E)

Question 2: 150   299    601  1197 2401   4793
60     (a)    ( b)     (c)    (d)      (e)
What will come in place of (e) ?

a) 1917.2

b) 1913

c) 1922

d) 861

e) None of these

Solution:

The pattern followed is :

150 $\times 2 – 1$ = 299

299 $\times 2 + 3$ = 601

601 $\times 2 – 5$ = 1197

1197 $\times 2 + 7$ = 2401

2401 $\times 2 – 9$ = 4793

Similarly,

60 $\times 2 – 1$ = 119

119 $\times 2 + 3$ = 241

241 $\times 2 – 5$ = 477

477 $\times 2 + 7$ = 961

961 $\times 2 – 9$ = 1913

=> Ans – (B)

Question 3: 3     9      81    6561
2    (a)    (b)      (c)      (d)    (e)
What will come in place of (d) ?

a) 656

b) 4374

c) 1024

d) 65536

e) None of these

Solution:

The pattern followed is that each number is squared

$3^2$ = 9

$9^2$ = 81

$81^2$ = 6561

Similarly,

$2^2$ = 4

$4^2$ = 16

$16^2$ = 256

$256^2$ = 65536

=> Ans – (D)

Question 4: 3    7      24    101   512
5   (a)   (b)     (c)     (d)   (e)
What will come in place of (c) ?

a) 55

b) 149

c) 168

d) 752

e) None of these

Solution:

The pattern followed is :

3 $\times 2+1$ = 7

7 $\times 3+3$ = 24

24 $\times 4+5$ = 101

101 $\times 5+7$ = 512

Similarly,

5 $\times 2+1$ = 11

11 $\times 3+3$ = 36

36 $\times 4+5$ = 149

=> Ans – (B)

Instructions

What will come in place of the question mark (?) in each of the following number series.

Question 5: 8, 5.5, 8.5, 23, 89.5, ?

a) 455

b) 420.5

c) 445

d) 415.5

e) 433

Solution:

The pattern followed is :

8 $\times 1 – 2.5$ = 5.5

5.5 $\times 2 – 2.5$ = 8.5

8.5 $\times 3 – 2.5$ = 23

23 $\times 4 – 2.5$ = 89.5

89.5 $\times 5 – 2.5$ = 445

Question 6: 31, 15, 21, 50, ?, 767.25

a) 160.5

b) 171.5

c) 156.5

d) 122.5

e) 143.5

Solution:

The pattern followed is :

31 $\times 0.5 – 0.5$ = 15

15 $\times 1.5 – 1.5$ = 21

21 $\times 2.5 – 2.5$ = 50

50 $\times 3.5 – 3.5$ = 171.5

171.5 $\times 4.5 – 4.5$ = 767.25

Question 7: 402, 400, 388, 358, 302, ?

a) 212

b) 236

c) 190

d) 182

e) 210

Solution:

The pattern followed is :

402 $- (1 \times 2)$ = 400

400 $- (3 \times 4)$ = 388

388 $- (5 \times 6)$ = 358

358 $- (7 \times 8)$ = 302

302 $- (9 \times 10)$ = 212

Question 8: 16, 19, 24, 33, 50, ?

a) 83

b) 66

c) 99

d) 74

e) 102

Solution:

The pattern is :

16 + 3 = 19

19 + 5 (= 3 + 2) = 24

24 + 9 (= 5 + 4) = 33

33 + 17 (= 9 + 8) = 50

50 + 33 (= 17 + 16) = 83

Question 9: 158, 78, 38, 18, 8, ?

a) 3

b) 5

c) 2

d) 7

e) 6

Solution:

Each number is divided by 2 and then 1 is subtracted.

158 $\div 2 – 1$ = 78

78 $\div 2 – 1$ = 38

38 $\div 2 – 1$ = 18

18 $\div 2 – 1$ = 8

8 $\div 2 – 1$ = 3

Instructions

What should come in place of question mark (?) in the following number series?

Question 10: 89250 17850 7140 1428 571.2 ?

a) 228.48

b) 126.12

c) 114.24

d) 246.48

e) None of these

Solution:

The numbers are alternatively divided by 5 and 2.5

89250 $\div 5$ = 17850

17850 $\div 2.5$ = 7140

7140 $\div 5$ = 1428

1428 $\div 2.5$ = 571.2

571.2 $\div 5$ = 114.24

Question 11: 1.5 4 20 129 ? 10505

a) 1044

b) 1048

c) 1548

d) 1052

e) None of these

Solution:

Consecutive even numbers are multiplied and then square of natural numbers are added.

1.5 $\times 2 + 1^2$ = 4

4 $\times 4 + 2^2$ = 20

20 $\times 6 + 3^2$ = 129

129 $\times 8 + 4^2$ = 1048

1048 $\times 10 + 5^2$ = 10505

Question 12: 6 349 565 ? 754 781

a) 629

b) 590

c) 601

d) 690

e) None of these

Solution:

Cubes of natural numbers are added.

6 $+ 7^3$ = 349

349 $+ 6^3$ = 565

565 $+ 5^3$ = 690

690 $+ 4^3$ = 754

754 $+ 3^3$ = 781

Question 13: 4 12 60 420 ? 41580

a) 4620

b) 3780

c) 4200

d) 5040

e) None of these

Solution:

Consecutive odd numbers starting from 3 are multiplied.

4 $\times 3$ = 12

12 $\times 5$ = 60

60 $\times 7$ = 420

420 $\times 9$ = 3780

3780 $\times 11$ = 41580

Question 14: 3 4 12 ? 576 27648

a) 64

b) 96

c) 36

d) 52

e) None of these

Solution:

Each number is multiplied by the next number

3 $\times 4$ = 12

4 $\times 12$ = 48

12 $\times 48$ = 576

48 $\times 576$ = 27648

Instructions

What will come in place of the question mark (?) in the following series ?

Question 15: 15    17    21     29     45     77 ?

a) 109

b) 125

c) 141

d) 173

e) None of these

Solution:

The pattern followed is :

15 $+ 2^1$ = 17

17 $+ 2^2$ = 21

21 $+ 2^3$ = 29

29 $+ 2^4$ = 45

45 $+ 2^5$ = 77

77 $+ 2^6$ = 141

Question 16: 15    17    32   49    81   130    ?

a) 179

b) 211

c) 194

d) 226

e) None of these

Solution:

Previous number is added to each number to get the next number

17 + 15 = 32

32 + 17 = 49

49 + 32 = 81

81 + 49 = 130

130 + 81 = 211

Question 17: 104    153    189    214   ?

a) 239

b) 225

c) 264

d) 235

e) None of these

Solution:

Squares of natural numbers are added.

104 $+ 7^2$ = 153

153 $+ 6^2$ = 189

189 $+ 5^2$ = 214

214 $+ 4^2$ = 230

Question 18: 1    ??   27      64     125

a) 14

b) 4

c) 9

d) 8

e) None of these

Solution:

This is a series of cubes of natural numbers.

$1^3$ = 1

$2^3$ = 8

$3^3$ = 27

$4^3$ = 64

$5^3$ = 125

Question 19: 12   22    69    272    1365 ?

a) 8196

b) 8184

c) 8195

d) 6830

e) None of these

Solution:

The pattern followed is :

12 $\times 2 – 2$ = 22

22 $\times 3 + 3$ = 69

69 $\times 4 – 4$ = 272

272 $\times 5 + 5$ = 1365

1365 $\times 6 – 6$ = 8184

Question 20: What will come in place of the question mark (?) in the following number series?
20  23  30  43  64  ?

a) 95

b) 90

c) 100

d) 105

e) 96

Solution:

Numbers of the form $n^2 – (n-1)$ are added, where $n$ is an integer starting from 2

23 $+ 2^2 – 1$ = 23

23 $+ 3^2 – 2$ = 30

30 $+ 4^2 – 3$ = 43

43 $+ 5^2 – 4$ = 64

64 $+ 6^2 – 5$ = 95