**Number Series Questions With Solutions for SSC CGL PDF:**

Number series questions and answers with explanation for SSC CGL exam. Detailed solutions of number series problems with solving tricks.

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**Question 1:Â **Which number is wrong in the given series?

12439, 23549, 34659, 45769

a) 34659

b) 23549

c) 45769

d) 12439

**Question 2:Â **Find the missing number :

2, 10, 20, 32, 46, ?

a) 62

b) 65

c) 64

d) 60

**Question 3:Â **What will come in place of the question mark (?) in the series?

3, 8, 27, 112, (?), 3396

a) 565

b) 452

c) 560

d) 678

**Question 4:Â **If 1 + 4=9, 2 + 8=18, 3+6 = 15 then 7 + 8 = ?

a) 41

b) 23

c) 30

d) 32

**Question 5:Â **Find the wrong number in the series. 6, 9, 15, 22, 51, 99

a) 99

b) 51

c) 22

d) 15

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**Question 6:Â **Find out the set of numbers amongst the four sets of numbers given in the alternatives which is most like the set given in the question.

Given Set : (8, 56, 72)

a) (7, 56, 63)

b) (3, 15, 24)

c) (6. 42, 54)

d) (5, 30, 35)

**Question 7:**Â Find the wrong number in the series. 7, 28, 63,124, 215, 342

a) 28

b) 63

c) 124

d) 342

**Question 8:Â **Find the correct set of numbers from the given alternatives.

(4, 3, 2), (16, 9, 4), (256, 81, 16), (65536, ? , ? )

a) 6651, 286

b) 6561, 256

c) 1486, 97

d) 190, 20

**Question 9:Â **Which of the given letter groups follows the same principle on which the numbers are arranged in the given number group ?

(5, 8, 13, 20, 29)

a) ACGKR

b) ADIMS

c) ADIPY

d) ADGRO

**Question 10:Â **Find out the wrong number in the sequence

102, 101, 98, 93, 86, 74, 66, 53

a) 101

b) 66

c) 74

d) 93

**Solutions forÂ Number Series Questions With Solutions for SSC CGL PDF:**

**Solutions:**

**1) Answer (A)**

here we need to find the wrong number in 12439, 23549, 34659, 45769

as we will add the digits of every number

12439 : 1+2+3+4+9 = 19

23549 : 2+3+5+4+9 = 23

34659 : 3+4+6+5+9 = 27

45769 : 4+5+7+6+9 = 31

As we can see that in very case the sum of digits of number is a prime number except in case of 34659 and hence 34659 is the odd one out

**2) Answer (A)**

let the missing number be y

10 – 2 = 8

20 – 10 = 10

32 – 20 = 12

46 – 32 = 14

as we can see that difference is getting increased by 2 and hence

y – 46 = 16

y = 62

**3) Answer (A)**

Let the missing term be y

here the sequence is 3, 8, 27, 112, y, 3396

here the pattern is :

8 = 3 x 2 + 2

27 = 8 x 3 + 3

112 = 27 x 4 + 4

so from the highlighted pattern , we can say that

y = 112 x 5 + 5 = 565

**4) Answer (B)**

Here we are given :

1 + 4=9

2 + 8=18

3+6 = 15

So if the number is , x + y then it is equal to [(x+y) + y]

here we need to calculate value of 7 + 8 = [(7 + 8) + 8] = 23

**5) Answer (C)**

9 -6 =3

15 -9 =6

22 -15 =7

51 -22 =29

99 -51 =48

So Ignoring the difference between the terms where one of the terms is 22 all other differences are multiple of 3

So 22 is the wrong term and the correct series would have been

9 -6 = 3 x 1

15 -9 = 3 x 2

27 -15 = 3 x 4

51 -27 = 3 x 8

99 -51 = 3 x 16

So 22 is the wrong term

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**6) Answer (C)**

(8, 56, 72)

follows the pattern

(8 , 8 x 7 , 8 x 9 )

So (6. 42, 54)Â is similar to (8, 56, 72)

as it follows the pattern

(6 , 6 x 7 , 6 x 9 )

**7) Answer (A)**

By observing the terms of series it can be deduced that the series must follow the pattern

$$2^3 -1$$,$$3^3 -1$$,$$4^3 -1$$,$$5^3 -1$$,$$6^3 -1$$,$$7^3 -1$$

So option A is correct

**8) Answer (B)**

In the given series each element of the next term is obtained by squaring the corresponding element of each previous term

So

the missing second and third value from the last term is

$$ 81^{2} $$ =6561 and

$$ 16^{2} $$ = 256

respectively

**9) Answer (C)**

The Series follows the pattern

5

5+3 =8

8+5 =13

13 +7 =20

20+9 = 29

So the option representing the correct letter group must follow the same pattern

So

the letter series is

A

A+3 = D

D +5 =I

I +7 = P

P + 9 =Y

So the letter series is ADIPY

**10) Answer (C)**

The Series follows pattern

102

102 -1 =101

101 -3 =98

98 -5 =93

93 -7 =86

Since 1,3,5 and 7 are subtracted in order to get the next term

So 7 +2 =9

should be subtracted in order to get next term

So

next term should be

86 -9 =77

77 -11 =66

66-13 =53

So option C is correct

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