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This mock test of Miscellaneous Test: Number Series- 4 for Banking Exams helps you for every Banking Exams entrance exam.
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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:

1st term = 120

2nd term = 120-21 = 99

3rd term = 99-19 = 80

4th term = 80 - 17 = 63

5th term = 63 - 15 = 48

⇒ For every next term , preious term is substracteed in the order: -21, -19, -17, -15, -13,.....

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.

1st term = 589654237

2nd term = 89654237

3rd term = 8965423

4th term = 965423

5th term = 96542

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

Solution:

1st term = 2 x 3 = 6

2nd term = 6 x 3 = 18

3rd term = 18 x 3 = 54,.....

⇒ 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:

1st term = 125

2nd term = 125 - 45 = 80

3rd term = 80 - 35 = 45

4th term = 45- 25 = 20

⇒ For every next term, preious term is substracteed in the order: - 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:

1st term = 1

2nd term = 1 * 2 = 2

3rd term = 2 * 3/2 = 3

4th term = 3 * 2 = 6

5th term = 6 * 3/2 = 9

6th term = 9 * 2 =18

7th term = ?

8th term = 54

⇒ For every even position term, the previous term is multiplied by 2 and for the odd positioned term, the previous term is multiplied by 3/2

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:

1st term = 6

2nd term = (6 * 2) + 1 = 13

3rd term = (13 * 2) -1 = 25

4th term = (25 * 2) +1 = 51

5th term = (51 * 2) - 1 = 101

6th term = ?

⇒ For every even position term, the previous term is multiplied by 2 and then 1 is added and for the odd positioned term, the previous term is multiplied by 2 and 1 is substracted

So, missing term = (101 * 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:

1st term = 5

2nd term = 5 + 1 = 6

3rd term = 6 + 3 = 6 + (1 + 2) = 9

4th term = 9 + 6 = 9 + (1 + 2 + 3) = 15

5th term = x

6th term = 40

⇒ For every term previous term is added with sumation of it previous position **i.e. next term = previous term + ∑ (position -1)**

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 **i.e.**

► 1 + 3 + 4 = 8

► 3 + 4 + 8 = 15

► 4 + 8 + 15 = 27

∴ 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:__

- 3, 7, 13, 21, 31, ?

For every next term = previous term + 2 * its position

**i.e. 3, 3+2*2, 7 +3*2, 13 + 4*2 ....** - 4, 7, 13, 22, 34

For every next term = previous term + 3 * (its position-1)

**i.e. 4, 4+3*1, 7 +3*2, 13 + 3*3 ....**

So, missing term = 31 + 2*6 = 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:

1st term = 198

2nd term = 198 - 4 = 198 - 2^{2} = 194

3rd term = 194 - 9 = 198 - 3^{2} = 185

4th term = 185 - 16 = 185 - 4^{2} = 169

⇒ For next term, square of its positon is substracted from the previous term

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:

1st term = 6

2nd term = 6 + 6 = 6 + 2*3 = 12

3rd term = 12 + 9 = 12 + 3*3 = 21

4th term = ?

5th term = 48

⇒ For every next term, thrice its positon is added o the previous term.

So, missing term = 21 + 3*4 = 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:

1st term = 5 x 2 = 10

2nd term = 10 x 2 = 20

3rd term = 20 x 2 = 40,.....

⇒ Series is a G.P. in which a = 5 and r = 2.

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

⇒ 5 x 2^{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:

1st term = 2

2nd term = 2 + 3 = 2 + (2+1) = 5

3rd term = 5 + 4 = 5 + (3+1) = 9...

⇒ For next term, its position +1 is added to the previous term

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:

1st term = 2

2nd term = 2 + 1 = 3

3rd term = 3 * 1 = 3

4th term = 3 + 2 = 5

5th term = 5 * 2 = 10

6th term = 10 + 3 = 13...

⇒ For every term at even position, previous term is added with half of the position

⇒ For every term at odd position, previous term is multipiled with the same numeber that was added in previous term

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:

1st term = 9

2nd term = 9 * 3 = 27

3rd term = 31 + 4 = 31

4th term = 29 * 5 = 155

5th term = 5 * 2 = 10

6th term = 10 + 3 = 13...

⇒ For every term at even position, previous term is multiplied with the position+1

⇒ For every term at odd position, previous term is added with the position+1

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 given sequence is a combination of three series:__

- 1st, 4th, 7th, 10th, 13th terms i.e. 2, 4, 6, 8,?
- 2nd, 5th, 8th, 11th terms i.e. 1, 4, 7, 10
- 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:__

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

In both series are in A.P. with common difference of 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:

1st term = 22

2nd term = 22 + 2 = 22 + 2^{1 }= 24

3rd term = 24 + 4 = 22 + 2^{2 }= 28

4th term =?

5th term = 52

6th term = 52 + 32 = 52 + 2^{5 }=84

⇒ For next term, preivous term is add with 2 to the power of the position-1.

**i.e. any term = previous term + 2 ^{(position - 1)}**

So, missing term = 28 + 8 = 22 + 2^{3 }= 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:

1st term = (2^{2} - 1)

2nd term = (4^{2} - 1)

3rd term= ?

4th term = (8^{2} - 1)

5th term = (10^{2} - 1)

6th term = (12^{2} - 1)

⇒ nth term = (n * 2)^{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.

**Alternatively,**

The pattern is the combination of 2 series:

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

after reversing 2nd series, i.e. 3, 30, 6, 2, 25, 4, 50, 3

on dividing term of the same position would give next term of reversed series.

**i.e.**

► 90/3 = 30

► 180/30 = 6

► 12/6 = 2

► 50/2 = 25

► 100/25 = 4

► 200/ 4 =50

► ?/50 = 3

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:

1st term = 48

2nd term = 48/2 = 24

3rd term = 24 * 4 = 96

4th term = 96/2 = 48

5th term = 48 * 4 = 192...

⇒ For every term at even position, previous term is divided by 2

⇒ For every term at odd position, previous term is multipiled with 4

So, missing term = 192 ÷ 2 = 96.

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