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This mock test of Miscellaneous Test: Number Series- 4 for Banking Exams helps you for every Banking Exams entrance exam.
This contains 25 Multiple Choice Questions for Banking Exams Miscellaneous Test: Number Series- 4 (mcq) to study with solutions a complete question bank.
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QUESTION: 1

Directions to Solve:

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

120, 99, 80, 63, 48, ?

Solution:

The pattern is - 21, - 19, - 17, - 15,.....

So, missing term = 48 - 13 = 35.

QUESTION: 2

Directions to Solve:

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

589654237, 89654237, 8965423, 965423, ?

Solution:

The digits are removed one by one from the beginning and the end in order alternately.

So, as to obtain the subsequent terms of the series.

QUESTION: 3

Directions to Solve:

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

3, 10, 101,?

Solution:

Each term in the series is obtained by adding 1 to the square of the preceding term.

So, missing term = (101)^{2} + 1 = 10202.

QUESTION: 4

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

In the series 2, 6, 18, 54, ...... what will be the 8th term ?

Solution:

Clearly, 2 x 3 = 6, 6 x 3 = 18, 18 x 3 = 54,.....

So, the series is a G.P. in which a = 2, r = 3.

∴ 8th term = ar^{8-1} = ar^{7} = 2 x 3^{7} = (2 x 2187) = 4374.

QUESTION: 5

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

125,80,45,20,?

Solution:

The pattern is - 45, - 35, - 25, .....

So, missing term = 20 - 15 = 5.

QUESTION: 6

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

1, 1, 4, 8, 9, 27, 16, ?

Solution:

The series consists of squares and cubes of consecutive natural numbers i.e. 1^{2}, 1^{3}, 2^{2}, 2^{3}, 3^{2}, 3^{3}, 4^{2}, .....

So, missing term = 4^{3} = 64.

QUESTION: 7

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

1, 2, 3, 6, 9, 18, ?, 54

Solution:

__The pattern is:__

x 2 → x 3/2 → x 2 → x 3/2 → x 2....so on.

x ⇒ Sign of multiplication.

So, missing term = 18 x 3/2 = 27.

QUESTION: 8

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

6, 13, 25, 51, 101, ?

Solution:

__The pattern is:__

(x 2 + 1) → (x 2 - 1) → (x 2 + 1) → (x 2 - 1)...so on.

x ⇒ sign of multiplication.

So, missing term = 101 x 2 + 1 = 203.

QUESTION: 9

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

5,6,9, 15, ?, 40

Solution:

The pattern is + 1, + 3, + 6,....., i.e. + 1, + (1 + 2), + (1 + 2 + 3),.....

So, missing term = 15 + (1 + 2 + 3 + 4) = 25.

QUESTION: 10

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

1, 3, 4, 8, 15, 27, ?

Solution:

The sum of any three consecutive terms of the series gives the next term.

Thus,

► 1 + 3 + 4 = 8 ;

► 3 + 4 + 8 = 15 ;

► 4 + 8 + 15 = 27 and so on.

∴ Missing number = 8 + 15 + 27 = 50.

QUESTION: 11

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

3, 4, 7, 7, 13, 13, 21, 22, 31, 34, ?

Solution:

The given sequence is a combination of two series :

**I**. 3, 7, 13, 21, 31, ? and

**II**. 4, 7, 13, 22, 34

► The pattern in I is + 4, + 6, + 8, + 10,.....

► The pattern in II is + 3, + 6, + 9, + 12,.....

So, missing term = 31 + 12 = 43.

As missing term lies in 1st pattern.

QUESTION: 12

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

198, 194, 185, 169, ?

Solution:

The pattern is - 4, - 9, - 16,.....i.e. - 2^{2}, - 3^{2}, - 4^{2},.....

So, missing pattern = 169 - 5^{2} = 169 - 25 = 144.

QUESTION: 13

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

2, 3, 5,7,11,?, 17

Solution:

Clearly, the given series consists of prime numbers starting from 2. So, the missing term is the prime number after 11, which is 13.

QUESTION: 14

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

6, 12, 21, ?, 48

Solution:

The pattern is + 6, + 9, + 12, + 15, .....

So, missing term = 21 + 12 = 33.

QUESTION: 15

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

Which term of the series 5, 10, 20, 40, ..... is 1280?

Solution:

Clearly, 5 x 2 = 10, 10 x 2 = 20, 20 x 2 = 40,.....

So, the series is a G.P. in which a = 5 and r = 2.

Let 1280 be the n^{th }term of the series.

Then, 5x2^{n-1} = 1280 2^{n-1} = 256 = 2^{8} n - 1 = 8 n = 9.

QUESTION: 16

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

2, 5, 9, ?, 20, 27

Solution:

The pattern is + 3, + 4, + 5, + 6,.....

So, missing term = 9 + 5 = 14.

QUESTION: 17

Directions to solve:

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

2, 3, 3, 5, 10, 13, ?, 43, 172, 177

Solution:

The pattern is:

(+ 1) → (x 1) → (+ 2) → (x 2) → (+ 3) → (x 3) → (+ 4) → (x 4) → (+ 5)...so on.

So, missing term = 13 x 3 = 39.

QUESTION: 18

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

9, 27, 31, 155, 161, 1127, ?

Solution:

The pattern is x 3, + 4, x 5, + 6, x 7,.....

So, missing term = 1127 + 8 = 1135.

QUESTION: 19

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

2, 1, 2, 4, 4, 5, 6, 7, 8, 8, 10, 11, ?

Solution:

The correct option is B.

__The given sequence is a combination of three series :__

I. 1st, 4th, 7th, 10th, 13th terms i.e. 2, 4, 6, 8, ?

II. 2nd, 5th, 8th, 11th terms i.e. 1, 4, 7, 10

III. 3rd, 6th, 9th, 12th terms i.e. 2, 5, 8, 11

Clearly, I consist of consecutive even numbers. So, the missing term is 10.

QUESTION: 20

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

Which of the following will not be a number of the series 1, 8, 27, 64, 125,.....?

Solution:

The given series consists of cubes of natural numbers only. 256 is not the cube of any natural number.

QUESTION: 21

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

13, 32, 24, 43, 35, ?, 46, 65, 57, 76

Solution:

The given sequence is a combination of two series:

**I**. 13, 24, 35, 46, 57 and

**II**. 32, 43, ?, 65, 76

The pattern in both I and II is + 11. So, missing term = 43 + 11 = 54.

QUESTION: 22

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

22, 24, 28, ?, 52, 84

Solution:

The pattern is + 2, + 4, + 8, + 16,.....

So, missing term = 28 + 8 = 36.

QUESTION: 23

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

3, 15, ?, 63, 99, 143

Solution:

The terms of the given series are (2^{2} - 1), (4^{2} - 1),....., (8^{2} - 1), (10^{2} - 1), (12^{2} - 1).

So, missing term = (6^{2} - 1)

= (36 - 1)

= 35.

QUESTION: 24

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

90, 180, 12, 50, 100, 200, ?, 3, 50, 4, 25, 2, 6, 30, 3

Solution:

__Clearly the pattern is:__

► 90 = 30 x 3,

► 180 = 6 x **30**,

► 12 = 2 x **6**,

► 50 = 25 x **2**,

► 100 = 4 x **25**,

► 200 = 50 x **4**.

So, missing term = 3 x **50 **= 150.

QUESTION: 25

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

**Question - **

48, 24, 96, 48, 192, ?

Solution:

The pattern is:

(÷ 2) → (x 4) → (÷ 2) → (x 4)..so on

So, missing term = 192 ÷ 2 = 96.

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