Number Series Questions for MAH-CET

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Question 1: What would be the compound interest accrued on an amount of Rs. 9,000 at the rate of 11 p.c.p.a. in two years ?

a) Rs. 2089.90

b) Rs. 2140.90

c) Rs. 2068.50

d) Rs. 2085.50

e) None of these

1) Answer (E)

Solution:

$C.I. = P [(1 + \frac{R}{100})^T – 1]$

= $9000 [(1 + \frac{11}{100})^2 – 1]$

= $9000 [(1.11)^2 – 1]$

= $9000 \times (1.2321 – 1)$

= $9000 \times 0.2321$ = Rs. $2,088.90$

Instructions

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

Question 2: If $\frac{7x}{12}-12=23+\frac{3x}{8}$, find the value of x

a) 164

b) 168

c) 165

d) 180

e) 140

2) Answer (B)

Solution:

Expression : $\frac{7x}{12}-12=23+\frac{3x}{8}$

=> $\frac{7x}{12} – \frac{3x}{8} = 23 + 12$

=> $\frac{5x}{24} = 35$

=> $x = 7 * 24 = 168$

Question 3: 40, 20, 30, 75, 262.5, ?

a) 1181.25

b) 1182.25

c) 1281.25

d) 1161.25

e) 1811.25

3) Answer (A)

Solution:

The pattern here followed is :

40 * $\frac{1}{2}$ = 20

20 * $\frac{3}{2}$ = 30

30 * $\frac{5}{2}$ = 75

75 * $\frac{7}{2}$ = 262.5

262.5 * $\frac{9}{2}$ = 1181.25

Question 4: If $\frac{7x}{12}-12=23+\frac{3x}{8}$, find the value of x

a) 164

b) 168

c) 165

d) 180

e) 140

4) Answer (B)

Solution:

Expression : $\frac{7x}{12}-12=23+\frac{3x}{8}$

=> $\frac{7x}{12} – \frac{3x}{8} = 23 + 12$

=> $\frac{5x}{24} = 35$

=> $x = 7 * 24 = 168$

Question 5: 400, 800, 880, 896, 899.2, ?

a) 889.48

b) 898.48

c) 899.64

d) 899.84

e) None of these

5) Answer (D)

Solution:

The pattern here followed is :

400 + 400 = 800

800 + 400 * $\frac{1}{5}$ = 800 + 80 = 880

880 + 80 * $\frac{1}{5}$ = 880 + 16 = 896

896 + 16 * $\frac{1}{5}$ = 896 + 3.2 = 899.2

899.2 + 3.2 * $\frac{1}{5}$ = 899.2 + 0.64 = 899.84

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Question 6: 12, 13, 21, 85, 597, ?

a) 4683

b) 4663

c) 4693

d) 4863

e) None of these

6) Answer (C)

Solution:

The pattern here followed is :

12 + $1^3$ = 13

13 + $2^3$ = 21

21 + $4^3$ = 85

85 + $8^3$ = 597

597 + $16^3$ = 4693

Question 7: 20, 38, 74, 146, 290, ?

a) 576

b) 578

c) 580

d) 574

e) None of these

7) Answer (B)

Solution:

The pattern here followed is :

20 * 2 – 2 = 38

38 * 2 – 2 = 74

74 * 2 – 2 = 146

146 * 2 – 2 = 290

290 * 2 – 2 = 578

Question 8: 5, 12.5, 32.5, 105, 427.5, ?

a) 2145

b) 2045

c) 2245

d) 2005

e) None of these

8) Answer (A)

Solution:

The pattern here followed is :

5 * 1 + 7.5 = 12.5

12.5 * 2 + 7.5 = 32.5

32.5 * 3 + 7.5 = 105

105 * 4 + 7.5 = 427.5

427.5 * 5 + 7.5 = 2145

Instructions

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

Question 9: 2, 7, 26, 101, 400, ?

a) 1595

b) 980

c) 1294

d) 896

e) 1080

9) Answer (A)

Solution:

The pattern here followed is :

2 $\times 4 – 1$ = 7

7 $\times 4 – 2$ = 26

26 $\times 4 – 3$ = 101

101 $\times 4 – 4$ = 400

400 $\times 4 – 5$ = 1595

Question 10: 721, 361, 181, 91, 46, ?

a) 22

b) 28

c) 18

d) 20.5

e) 23.5

10) Answer (E)

Solution:

The pattern is :

721 $- 360$ = 361

361 $ – \frac{360}{2} = 361 – 180$ = 181

181 $ – \frac{180}{2} = 181 – 90$ = 91

91 $ – \frac{90}{2} = 91 – 45$ = 46

46 $ – \frac{45}{2} = 46 – 22.5$ = 23.5

Question 11: 3, 27, 189, 945, ?, 2835

a) 2835

b) 3780

c) 945

d) 1890

e) 4725

11) Answer (A)

Solution:

The pattern is :

3 $\times 9$ = 27

27 $\times 7$ = 189

189 $\times 5$ = 945

945 $\times 3$ = 2835

2835 $\times 1$ = 2835

Question 12: 154, 158, 185, 201, 326, ?

a) 424

b) 354

c) 362

d) 380

e) 398

12) Answer (C)

Solution:

The pattern is :

154 $ + 2^2$ = 158

158 $ + 3^3$ = 185

185 $ + 4^2$ = 201

201 $ + 5^3$ = 326

326 $ + 6^2$ = 362

Question 13: 369, 380, 402, 435, ?, 534

a) 452

b) 501

c) 528

d) 479

e) 494

13) Answer (D)

Solution:

Successive multiples of 11 are added

369 $ + 11 \times 1$ = 380

380 $ + 11 \times 2$ = 402

402 $ + 11 \times 3$ = 435

435 $ + 11 \times 4$ = 479

479 $ + 11 \times 5$ = 534

Question 14: 16 8 12 30 ? 472.5

a) 104

b) 103

c) 106

d) 105

e) None of these

14) Answer (D)

Solution:

Odd multiples of $\frac{1}{2}$ are multiplied

16 $\times \frac{1}{2}$ = 8

8 $\times \frac{3}{2}$ = 12

12 $\times \frac{5}{2}$ = 30

30 $\times \frac{7}{2}$ = 105

105 $\times \frac{9}{2}$ = 472.5

Question 15: 2, 5, 12, 27, 58, ?

a) 122

b) 121

c) 123

d) 120

e) None of these

15) Answer (B)

Solution:

Each number is multiplied by 2 and then consecutive natural numbers are added

2 $\times 2 + 1$ = 5

5 $\times 2 + 2$ = 12

12 $\times 2 + 3$ = 27

27 $\times 2 + 4$ = 58

58 $\times 2 + 5$ = 121

Question 16: 18 19.7 16.3 23.1 9.5 ?

a) 36.5

b) 36.8

c) 36.7

d) 36.9

e) None of these

16) Answer (C)

Solution:

The pattern is :

18 $+ 1.7 \times 2^0$ = 19.7

19.7 $- 1.7 \times 2^1$ = 16.3

16.3 $+ 1.7 \times 2^2$ = 23.1

23.1 $- 1.7 \times 2^3$ = 9.5

9.5 $+ 1.7 \times 2^4$ = 36.7

Question 17: 68, ?, 77, 104, 168, 293

a) 69

b) 70

c) 68

d) 74

e) None of these

17) Answer (A)

Solution:

Cubes of consecutive natural numbers are added

68 $+ 1^3$ = 69

69 $+ 2^3$ = 77

77 $+ 3^3$ = 104

104 $+ 4^3$ = 168

168 $+ 5^3$ = 293

Instructions

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

Question 18: 63 72 97 146 227 ?

a) 263

b) 466

c) 348

d) 329

e) 384

18) Answer (C)

Solution:

Square of odd numbers are added

63 $+ 3^2$ = 72

72 $+ 5^2$ = 97

97 $+ 7^2$ = 146

146 $+ 9^2$ = 227

227 $+ 11^2$ = 348

Question 19: 16 ? 32 16 4 0.5

a) 28

b) 20

c) 24

d) 32

e) 18

19) Answer (D)

Solution:

The pattern is :

16 $\times 2$ = 32

32 $\times 1$ = 32

32 $\times \frac{1}{2}$ = 16

16 $\times \frac{1}{4}$ = 4

4 $\times \frac{1}{8}$ = 0.5

Question 20: 8 20 35 54 78 ?

a) 114

b) 169

c) 108

d) 123

e) 136

20) Answer (C)

Solution:

The pattern is :

8 + $12$ = 20

20 + $12 + 3$ = 35

35 + $12 + 3 + 4$ = 54

54 + $12 + 3 + 4 + 5$ = 78

78 + $12 + 3 + 4 + 5 + 6$ = 108

Question 21: 16.8 16.85 16.75 16.9 16.7 ?

a) 17.5

b) 17.25

c) 16.95

d) 16.25

e) 18.85

21) Answer (C)

Solution:

Multiples of 0.05 are alternatively added and subtracted

16.8 $+ 0.05 \times 1$ = 16.85

16.85 $- 0.05 \times 2$ = 16.75

16.75 $+ 0.05 \times 3$ = 16.9

16.9 $- 0.05 \times 4$ = 16.7

16.7 $+ 0.05 \times 5$ = 16.95

Question 22: 8 ? 16 48 192 960

a) 16

b) 10

c) 12

d) 14

e) 8

22) Answer (E)

Solution:

Consecutive natural numbers are added

8 $\times 1$ = 8

8 $\times 2$ = 16

16 $\times 3$ = 48

48 $\times 4$ = 192

192 $\times 5$ = 960

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