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# Number Series Questions for MAH-CET PDF

Here you can download the important MAH – CET Number Series Questions PDF by Cracku. Very Important MAH – CET 2022 and These questions will help your MAH – CET preparation. So kindly download the PDF for reference and do more practice.

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

a)Â 1080

b)Â 676

c)Â 3608

d)Â 3456

e)Â 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 $\times 6$ =Â 576

576 $\times 8$ =Â 4608

Similarly,

5Â $\times 2$ = 10

10Â $\times 4$ =Â 40

40Â $\times 6$ =Â 240

=> Ans – (E)

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

a)Â 1917.2

b)Â 1913

c)Â 1922

d)Â 861

e)Â None of these

Solution:

The pattern followed is :

150 $\times 2 – 1$ = 299

299Â $\times 2 + 3$ =Â 601

601Â $\times 2 – 5$ =Â 1197

1197Â $\times 2 + 7$ =Â 2401

2401Â $\times 2 – 9$ =Â 4793

Similarly,

60Â $\times 2 – 1$ =Â 119

119 $\times 2 + 3$ =Â 241

241 $\times 2 – 5$ =Â 477

477 $\times 2 + 7$ =Â 961

961 $\times 2 – 9$ =Â 1913

=> Ans – (B)

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

a)Â 656

b)Â 4374

c)Â 1024

d)Â 65536

e)Â None of these

Solution:

The pattern followed is that each number is squared

$3^2$ = 9

$9^2$ =Â 81

$81^2$ =Â 6561

Similarly,

$2^2$ = 4

$4^2$ =Â 16

$16^2$ =Â 256

$256^2$ =Â 65536

=> Ans – (D)

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

a)Â 55

b)Â 149

c)Â 168

d)Â 752

e)Â None of these

Solution:

The pattern followed isÂ :

3 $\times 2+1$ = 7

7Â $\times 3+3$ =Â 24

24Â $\times 4+5$ =Â 101

101Â $\times 5+7$ =Â 512

Similarly,

5 $\times 2+1$ = 11

11 $\times 3+3$ =Â 36

36 $\times 4+5$ =Â 149

=> Ans – (B)

Question 5:Â What will come in the place of question mark (?) in the following series ?
2 Â 9 Â 28 Â 65 ?

a)Â 96

b)Â 106

c)Â 126

d)Â 130

e)Â None of these

Solution:

Each number is of the form $(n^3+1)$ where $n$ is a natural number

$1^3+1$ = 2

$2^3+1$ =Â 9

$3^3+1$ =Â 28

$4^3+1$ =Â 65

$5^3+1$ =Â 126

=> Ans – (C)

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Instructions

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

Question 6:Â 8, 5.5, 8.5, 23, 89.5, ?

a)Â 455

b)Â 420.5

c)Â 445

d)Â 415.5

e)Â 433

Solution:

The pattern followed isÂ :

8 $\times 1 – 2.5$ = 5.5

5.5Â $\times 2 – 2.5$ =Â 8.5

8.5Â $\times 3 – 2.5$ =Â 23

23Â $\times 4 – 2.5$ =Â 89.5

89.5Â $\times 5 – 2.5$ =Â 445

Question 7:Â 31, 15, 21, 50, ?, 767.25

a)Â 160.5

b)Â 171.5

c)Â 156.5

d)Â 122.5

e)Â 143.5

Solution:

The pattern followed isÂ :

31 $\times 0.5 – 0.5$ = 15

15Â $\times 1.5 – 1.5$ =Â 21

21Â $\times 2.5 – 2.5$ =Â 50

50Â $\times 3.5 – 3.5$ =Â 171.5

171.5Â $\times 4.5 – 4.5$ =Â 767.25

Question 8:Â 402, 400, 388, 358, 302, ?

a)Â 212

b)Â 236

c)Â 190

d)Â 182

e)Â 210

Solution:

The pattern followed isÂ :

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

400Â $- (3 \times 4)$ =Â 388

388Â $- (5 \times 6)$ =Â 358

358Â $- (7 \times 8)$ =Â 302

302Â $- (9 \times 10)$ =Â 212

Question 9:Â 16, 19, 24, 33, 50, ?

a)Â 83

b)Â 66

c)Â 99

d)Â 74

e)Â 102

Solution:

The pattern isÂ :

16 + 3 = 19

19 + 5 (= 3 + 2) = 24

24 + 9Â (= 5 + 4) =Â 33

33 + 17Â (= 9 + 8) =Â 50

50 + 33Â (= 17 + 16) =Â 83

Question 10:Â 158, 78, 38, 18, 8, ?

a)Â 3

b)Â 5

c)Â 2

d)Â 7

e)Â 6

Solution:

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

158 $\div 2 – 1$ = 78

78Â $\div 2 – 1$ =Â 38

38Â $\div 2 – 1$ =Â 18

18Â $\div 2 – 1$ =Â 8

8Â $\div 2 – 1$ =Â 3

Question 11:Â What will come in place of the question mark (?) in the following number series?
9Â  10Â  39Â  220Â  ?Â  14382

a)Â 1589

b)Â 1598

c)Â 1958

d)Â 1985

e)Â 1835

Solution:

The pattern followed isÂ :

9 $\times 1 + 1^2$ = 10

10Â $\times 3 + 3^2$ =Â 39

39Â $\times 5 + 5^2$ =Â 220

220Â $\times 7 + 7^2$ =Â 1589

1589Â $\times 9 + 9^2$ =Â 14382

Question 12:Â What will come in place of thequestion mark (?) in the following number series?
121Â  238Â  472Â  ?Â  1876Â  3748

a)Â 1008

b)Â 948

c)Â 944

d)Â 940

e)Â 1005

Solution:

Each number is multiplied by 2 and then 4 is subtracted from it.

121 $\times 2 – 4$ = 238

238Â $\times 2 – 4$ =Â 472

472Â $\times 2 – 4$ =Â 940

940Â $\times 2 – 4$ =Â 1876

1876Â $\times 2 – 4$ =Â 3748

Question 13:Â What will come in place of thequestion mark (?) in the following number series?
44Â  ?Â  99Â  Â 148.5 Â 222.75Â  334.125

a)Â 44

b)Â 55

c)Â 66

d)Â 33

e)Â 35

Solution:

Each number is multiplied by $\frac{3}{2}$

44 $\times \frac{3}{2}$ =Â 66

66Â $\times \frac{3}{2}$ =Â 99

99Â $\times \frac{3}{2}$ =Â 148.5

148.5Â $\times \frac{3}{2}$ =Â 222.75

222.75Â $\times \frac{3}{2}$ =Â 334.125

Question 14:Â What will come in place of thequestion mark (?) in the following number series?
33Â  16.5Â  ?Â  24.75Â  Â  49.5Â  123.75

a)Â 18.5

b)Â 16.5

c)Â 8.5

d)Â 8.25

e)Â None of these

Solution:

The pattern followed isÂ :

33 $\times \frac{1}{2}$ = 16.5

16.5Â $\times \frac{2}{2}$ =Â 16.5

16.5Â $\times \frac{3}{2}$ =Â 24.75

24.75Â $\times \frac{4}{2}$ =Â 49.5

49.5Â $\times \frac{5}{2}$ =Â 123.75

Question 15:Â What will come in place of the question mark (?) in the following number series?
20Â  23Â  30Â  43Â  64Â  ?

a)Â 95

b)Â 90

c)Â 100

d)Â 105

e)Â 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

23Â $+ 3^2 – 2$ =Â 30

30Â $+ 4^2 – 3$ =Â 43

43Â $+ 5^2 – 4$ =Â 64

64Â $+ 6^2 – 5$ =Â 95

Question 16:Â What should come in place of the question mark (?) in the following number series ?
1, 5, 17, 53, 161, 485, ?

a)Â 1168

b)Â 1254

c)Â 1457

d)Â 1372

e)Â None of these

Solution:

The pattern here followed isÂ :

1 * 3 + 2 = 5

5Â * 3 + 2 =Â 17

17Â * 3 + 2 =Â 53

53Â * 3 + 2 =Â 161

161Â * 3 + 2 =Â 485

485Â * 3 + 2 =Â 1457

Question 17:Â What approximate value should come in place of the question mark (?) in the following question?
$54.786 \div 10.121 \times 4.454 = ?$

a)Â 84

b)Â 48

c)Â 118

d)Â 58

e)Â 24

Solution:

ExpressionÂ : $54.786 \div 10.121 \times 4.454 = ?$

= $\frac{55}{10} \times 4.5$

= $24.75 \approx 24$

Question 18:Â What should come in place of the question mark (?) in the following number series?
2 5 11 23 47 95 ?

a)Â 168

b)Â 154

c)Â 191

d)Â 172

e)Â None of these

Solution:

The pattern here followed isÂ :

2 * 2 + 1 = 5

5 *Â 2 + 1 =Â Â 11

11 *Â 2 + 1 =Â 23

23 *Â 2 + 1 =Â 47

47 *Â 2 + 1 =Â 95

95 *Â 2 + 1 =Â 191

Question 19:Â What should come in place of the question mark (?) in the following number series?
1 4 14 45 139 422 ?

a)Â 1268

b)Â 1234

c)Â 1272

d)Â 1216

e)Â None of these

Solution:

The pattern here followed isÂ :

1Â * 3 +Â 1 = 4

4Â * 3 +Â 2 = 14

14Â * 3 + 3 = 45

45Â * 3 +Â 4 = 139

139Â * 3 + 5 = 422

422 * 3 + 6 =Â 1272

Question 20:Â What is the least number to be added to 2530 to make it a perfect square ?

a)Â 50

b)Â 65

c)Â 75

d)Â 80

e)Â None of these

We know that $50^2 = 2500$ and $51^2 = 2601$
$\because$ 2500Â < 2530Â < 2601
$\therefore$ Required number = 2601 – 2530 = 71