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Number Series (Logical Reasoning)

Description: SSC Reasoning Aptitude test
Number of Questions: 15
Created by:
Tags: SSC Reasoning Aptitude test Series and Classification Number Series
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Directions: In the following question, there is a number series with one term missing. Choose the correct option from the given alternatives that will replace the sign of question mark (?).

750, 562.5, 421.875, 316.406, 237.304, 177.978, ?

  1. 88.989

  2. 44.4945

  3. 222.4725

  4. 266.967

  5. 133.483

Show answer
Correct Option: E
Explanation:

This option is right because the given series is based on the following pattern: 750 x 0.75 = 562.5 562.5 x 0.75 = 421.875 421.875 x 0.75 = 316.406 316.406 x 0.75 = 237.304 237.304 x 0.75 = 177.978 ? = 177.978 x 0.75 = 133.483 Hence, 133.483 will replace the question mark.

Directions: In the following question, there is a number series with one term missing. Choose the correct option from the given alternatives that will replace the sign of question mark (?).

-28, -12, 20, 58, 122, 202, ?

  1. 106

  2. 298

  3. 308

  4. 302

  5. 292

Show answer
Correct Option: B
Explanation:

This option is correct because the given series is based on the following pattern: -28 + 16 = -12 -12 + 32 = 20 20 + 48 = 58 58 + 64 = 122 122 + 80 = 202 202 + 96 = 298 Hence, 298 will replace the question mark.

Directions: In the following question, there is a number series with one term missing. Choose the correct option from the given alternatives that will replace the sign of question mark (?).

-1, 4, -27, 256, -3125, 46656, ?

  1. 117649

  2. 2401

  3. -16807

  4. -823543

  5. None of these

Show answer
Correct Option: D
Explanation:

This is a right option because the given series is based on the following pattern: (-1)1 = 1 (-2)2 = 4 (-3)3 = -27 (-4)4 = 256 (-5)5 = -3125 (-6)6 = 46656 Therefore, ? = (-7)7 = -823543

Hence, - 823543 will replace the question mark.

Directions: In the following question, there is a number series with one term missing. Choose the correct option from the given alternatives that will replace the sign of question mark (?).

6, 9, 27, 121.5, 729, 5467.5, ?

  1. 49207.5

  2. 65610

  3. 32805

  4. 41006.25

  5. 57408.75

Show answer
Correct Option: A
Explanation:

This option is correct because the given series is based on the following pattern: 6 x 1.5 x 1 = 9 9 x 1.5 x 2 = 27 27 x 1.5 x 3 = 121.5 121.5 x 1.5 x 4 = 729 729 x 1.5 x 5 = 5467.5 ? = 5467.5 x 1.5 x 6 = 49207.5 Hence, 49207.5 will replace the question mark.

Find the missing term in the following series:

17, 19, 41, 127, 513, 2571, ?

  1. 15435

  2. 15431

  3. 15421

  4. 15433

  5. 15419

Show answer
Correct Option: D
Explanation:

The given series is based on the following pattern: 17 x 1 + 2 = 19 19 x 2 + 3 = 41 41 x 3 + 4 = 127 127 x 4 + 5 = 513 513 x 5 + 6 = 2571 ? = 2571 x 6 + 7 = 15433 Hence, 15433 will replace the question mark.

Directions: In the following question, there is a number series with one term missing. Choose the correct option from the given alternatives that will replace the sign of question mark (?).

280, 355, 437, 526, 622, 725, ?

  1. 845

  2. 830

  3. 835

  4. 840

  5. 850

Show answer
Correct Option: C
Explanation:

This option is correct because the given series is based on the following pattern: 280 + 75 = 355 355 + (75 + 1 x 7 = 82) = 437 437 + (75 + 2 x 7 = 89) = 526 526 + (75 + 3 x 7 = 96) = 622 622 + (75 + 4 x 7 = 103) = 725 ? = 725 + (75 + 5 x 7 = 110) = 835 Hence, 835 will replace the question mark.

Directions: In the following question, there is a number series with one term missing. Choose the correct option from the given alternatives that will replace the sign of question mark (?).

33, 35, 30, 27, 29, 24, ?

  1. 22

  2. 26

  3. 21

  4. 27

  5. 24

Show answer
Correct Option: B
Explanation:

The given series is based on the following pattern: 33 + 2 = 35 35 – 5 = 30 30 + 2 = 32 32 – 5 = 27 27 + 2 = 29 29 – 5 = 24 ? = 24 + 2 =26 Hence, 26 will replace the question mark.

Directions: In the following question, there is a number series with one term missing. Choose the correct option from the given alternatives that will replace the sign of question mark (?).

1, 6, 32, 81, ?, 25

  1. 51

  2. 64

  3. 49

  4. 68

  5. 60

Show answer
Correct Option: B
Explanation:

This option is correct because the given series is based on the following pattern: 16 = 6 25 = 32 34 = 81 ? = 43 = 64 52 = 25 Hence, 64 will replace the question mark.

Directions: In the following question, there is a number series with one term missing. Choose the correct option from the given alternatives that will replace the sign of question mark (?).

9112.5, 6075, 4050, 2700, 1800, 1200, ?

  1. 1200

  2. 960

  3. 480

  4. 600

  5. 800

Show answer
Correct Option: E
Explanation:

The given series is based on the following pattern: 9112.5 ÷ 1.5 = 6075 6075 ÷ 1.5 = 4050 4050 ÷ 1.5 = 2700 2700 ÷ 1.5 = 1800 1800 ÷ 1.5 = 1200 ? = 1200 ÷ 1.5 = 800 Hence, 800 will replace the question mark.

Directions: In the following question, there is a number series with one term missing. Choose the correct option from the given alternatives that will replace the sign of question mark (?).

139, 202, 286, 391, 517, 664, ?

  1. 837

  2. 842

  3. 827

  4. 822

  5. 832

Show answer
Correct Option: E
Explanation:

This option is correct because the given series is based on the following pattern: 139 + 3 x 21 = 202 202 + 4 x 21 = 286 286 + 5 x 21 = 391 391 + 6 x 21 = 517 517 + 7 x 21 = 664 ? = 664 + 8 x 21 = 832 Hence, 832 will replace the question mark.

Directions: In the following question, there is a number series with one term missing. Choose the correct option from the given alternatives that will replace the sign of question mark (?).

216, 3125, 64, 243, 8, ?

  1. 5

  2. 4

  3. 6

  4. 7

  5. 3

Show answer
Correct Option: A
Explanation:

This option is correct because the given series is based on the following pattern: 63 = 216 55 = 3125 43 = 64 35 = 243 23 = 8 ? = 15 = 5 Hence, 5 will replace the question mark.

Directions: In the following question, there is a number series with one term missing. Choose the correct option from the given alternatives that will replace the sign of question mark (?).

10, 10, 24, 84, 360, 1840, ?

  1. 11120

  2. 11140

  3. 11160

  4. 11100

  5. 11080

Show answer
Correct Option: D
Explanation:

The given series is based on the following pattern: 10 x 1 + 0 x 1 = 10 10 x 2 + 2 x 2 = 24 24 x 3 + 4 x 3 = 84 84 x 4 + 6 x 4 = 360 360 x 5 + 8 x 5 = 1840 ? = 1840 x 6 + 10 x 6 = 11100 Hence, 11100 will replace the question mark.

Directions: In the following question, there is a number series with one term missing. Choose the correct option from the given alternatives that will replace the sign of question mark (?).

15, 3.75, 1.875, 1.406, 1.7575, 2.636, ?

  1. 1.977

  2. 3.295

  3. 4.613

  4. 3.954

  5. 5.272

Show answer
Correct Option: C
Explanation:

This option is correct because the given series is based on the following pattern: 15 x 0.25 = 3.75 3.75 x 0.5 = 1.875 1.875 x 0.75 = 1.406 1.406 x 1 = 1.406 1.406 x 1.25 = 1.7575 1.7575 x 1.5 = 2.636 ? = 2.636 x 1.75 = 4.613 Hence, 4.613 will replace the question mark.

Directions: In the following question, there is a number series with one term missing. Choose the correct option from the given alternatives that will replace the sign of question mark (?).

27, 51, 151, 299, 859, 1787, ?

  1. 4861

  2. 4359

  3. 5359

  4. 3574

  5. 4874

Show answer
Correct Option: C
Explanation:

This option is correct because the given series is based on the following pattern: 27 x 2 – 3 = 54 – 3 = 51 51 x 3 – 2 = 153 – 2 = 151 151 x 2 – 3 = 302 – 3 = 299 299 x 3 – 2 = 895 895 x 2 – 3 = 1787 ? = 1787 x 3 – 2 = 5359 Hence, 5359 will replace the question mark.

Directions: In the following question, there is a number series with one term missing. Choose the correct option from the given alternatives that will replace the sign of question mark (?).

7.2, 8.1, 15.3, 23.4, 38.7, 62.1, ?

  1. 100.8

  2. 103.8

  3. 107.8

  4. 112.6

  5. 105.6

Show answer
Correct Option: A
Explanation:

This option is correct because the given series is based on the following pattern: 7.2 + 8.1 = 15.3 8.1 + 15.3 = 23.4 15.3 + 23.4 = 38.7 23.4 + 38.7 = 62.1 ? = 38.7 + 62.1 = 100.8 Hence, 100.8 will replace the question mark.

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