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Miscellaneous Test: Number Series- 3


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30 Questions MCQ Test Logical Reasoning (LR) and Data Interpretation (DI) | Miscellaneous Test: Number Series- 3

Miscellaneous Test: Number Series- 3 for CAT 2022 is part of Logical Reasoning (LR) and Data Interpretation (DI) preparation. The Miscellaneous Test: Number Series- 3 questions and answers have been prepared according to the CAT exam syllabus.The Miscellaneous Test: Number Series- 3 MCQs are made for CAT 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Miscellaneous Test: Number Series- 3 below.
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Miscellaneous Test: Number Series- 3 - Question 1

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

6, 15, 35, 77, 165, 221

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 1

The terms of the series are products of two consecutive prime numbers i.e. (2 x 3),

(3 x 5), (5 x 7), (7 x 11),.....

So, 165 is wrong and must be replaced by (11 x 13) i.e. 143.

Miscellaneous Test: Number Series- 3 - Question 2

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

121, 143, 165, 186, 209

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 2

Each term in the series is obtained by adding 22 to the preceding term.

So, 186 is wrong and must be replaced by (165 + 22) i.e. 187.

Miscellaneous Test: Number Series- 3 - Question 3

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

8, 13, 21, 32, 47, 63, 83

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 3

The correct pattern is + 5, + 8, + 11, + 14,.....

So, 47 is wrong and must be replaced by (32 + 14) i.e. 46.

Miscellaneous Test: Number Series- 3 - Question 4

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

3, 4, 10, 32, 136, 685, 4116

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 4

The correct pattern is x 1 + 1, x 2 + 2, x 3 + 3, x 4 + 4,.....

So, 32 is wrong and must be replaced by (10 x 3 + 3) i.e. 33.

Miscellaneous Test: Number Series- 3 - Question 5

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

1, 2, 4, 8, 16, 32, 64, 96

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 5

Each term of the series is obtained by multiplying the preceding term by 2.

So, 96 is wrong and must be replaced by (64 x 2) i.e. 128.

Miscellaneous Test: Number Series- 3 - Question 6

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

105, 85, 60, 30, 0, - 45, - 90

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 6

The correct pattern is - 20, - 25, - 30,.....

So, 0 is wrong and must be replaced by (30 - 35) i.e. - 5.

Miscellaneous Test: Number Series- 3 - Question 7

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

2, 5, 10, 17, 26, 37, 50, 64

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 7

The terms of the series are (12 + 1), (22 + 1), (32 + 1), (42 + 1), (52 + 1), (62 + 1),

(72+1),.....

So, 64 is wrong and must be replaced by (82 + 1) i.e. 65.

Miscellaneous Test: Number Series- 3 - Question 8

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

125, 126, 124, 127, 123, 129

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 8

The correct pattern is + 1, - 2, + 3, - 4, + 5.

So, 129 is wrong and must be replaced by (123 + 5) i.e. 128.

Miscellaneous Test: Number Series- 3 - Question 9

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

1,3,12,25,48

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 9

The terms of the series are (l2 - 02), (22 - l2), (42 - 22), (62 - 32) and (82 - 42).

So, 25 is wrong and must be replaced by (62 - 32) i.e. 27.

Miscellaneous Test: Number Series- 3 - Question 10

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

2, 5, 10, 50, 500, 5000

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 10

Each term of the series is the product of the preceding two terms.

So, 5000 is wrong and must be replaced by (50 x 500) i.e. 25000.

Miscellaneous Test: Number Series- 3 - Question 11

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

15, 16, 22, 29, 45, 70

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 11

The correct pattern is + 1, + 4, + 9, + 16, + 25 i.e. + 12, + 22, + 32, + 42, + 52.

So, 22 is wrong and must be replaced by (16 + 4) i.e. 20.

Miscellaneous Test: Number Series- 3 - Question 12

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

8, 14, 26, 48, 98, 194, 386

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 12

The correct pattern is x 2 - 2.

So, 48 is wrong and must be replaced by (26 x 2 - 2) i.e. 50.

Miscellaneous Test: Number Series- 3 - Question 13

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

3, 10, 27, 4, 16, 64, 5, 25, 125

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 13

The correct sequence is 3, 32, 33, 4, 42, 43, 5, 52, 53.

So, 10 is wrong and must be replaced by 32 i.e. 9.

Miscellaneous Test: Number Series- 3 - Question 14

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

4, 10, 22, 46, 96, 190, 382

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 14

The correct pattern is + 6, + 12, + 24, + 48, + 96, + 192.

So, 96 is wrong and must be replaced by (46 + 48) i.e. 94.

Miscellaneous Test: Number Series- 3 - Question 15

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

1, 5, 9, 15, 25, 37, 49

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 15

The terms of the given series are 12, (22 + 1), 32, (42..+ 1), 52, (62 + 1), 72.

So, 15 is wrong and must be replaced by (42 + 1) i.e. 17.

Miscellaneous Test: Number Series- 3 - Question 16

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

2, 6, 24, 96, 285, 568, 567

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 16

The correct pattern is x 6 - 6, x 5 - 5, x 4 - 4,.....

So, 24 is wrong and must be replaced by (6 x 5 - 5) i.e. 25.

Miscellaneous Test: Number Series- 3 - Question 17

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

3, 2, 8, 9, 13, 22, 18, 32, 23, 42

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 17

The given sequence is a combination of two series:

I. 3, 8, 13, 18, 23 and II. 2, 9, 22, 32, 42

The pattern in I is + 5, and the pattern in II is + 10. So, in II, 9 is wrong and must be replaced by (2 + 10) i.e. 12.

Miscellaneous Test: Number Series- 3 - Question 18

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

196, 169, 144, 121, 101

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 18

The sequence is (14)2, (13)2, (12)2, (11)2, (10)2.

So, 101 is wrong and must be replaced by (10)2 i.e. 100.

Miscellaneous Test: Number Series- 3 - Question 19

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

56, 58, 62, 70, 84, 118, 182

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 19

The correct pattern is + 2, + 4, + 8, + 16, + 32, + 64 i.e. + 2, + 22, + 23, + 24, + 25, + 26.

So, 84 is wrong and must be replaced by (70 + 16) i.e. 86.

Miscellaneous Test: Number Series- 3 - Question 20

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

1, 5, 5, 9, 7, 11, 11, 15, 12, 17

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 20

The given sequence is a combination of two series:

I. 1, 5, 7, 11, 12 and II. 5, 9, 11, 15, 17

The pattern in both I and II is + 4, + 2, + 4, + 2. So, 12 is wrong and must be replaced by (11 + 2) i.e. 13.

Miscellaneous Test: Number Series- 3 - Question 21

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

25, 36, 49, 81, 121, 169, 225

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 21

The correct sequence is 52, 72, 92, 112, 132, 152. So, 36 is wrong.

Miscellaneous Test: Number Series- 3 - Question 22

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

1, 3, 10, 21, 64, 129, 356, 777

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 22

The correct pattern is x 2 + 1, x 3 + 1, x 2 + 1, x 3 + 1,.....

So, 356 is wrong and must be replaced by (129 x 3 + 1) i.e. 388.

Miscellaneous Test: Number Series- 3 - Question 23

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

5, 10, 40, 80, 320, 550, 2560

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 23

The correct pattern is x 2, x 4, x 2, x 4, .....

So, 550 is wrong and must be replaced by (320 x 2) i.e. 640.

Miscellaneous Test: Number Series- 3 - Question 24

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

2, 3, 4, 4, 6, 8, 9, 12, 16

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 24

The given sequence is a combination of three series:

I. 1st, 4th, 7th terms i.e. 2, 4, 9,.....

II. 2nd, 5th, 8th terms i.e. 3, 6, 12,.....

III. 3rd, 6th, 9th terms i.e. 4, 8, 16,.....

In each one of I, II and III, each term is twice the preceding term. So, 9 is wrong and must be replaced by (4 x 2) i.e. 8.

Miscellaneous Test: Number Series- 3 - Question 25

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

11, 5, 20, 12, 40, 26, 74, 54

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 25

The given sequence is a combination of two series :

I. 11, 20, 40, 74 and II. 5, 12, 26, 54

The correct pattern in I is + 9, + 18, + 36,.....

So, 40 is wrong and must be replaced by (20 + 18) i.e. 38.

Miscellaneous Test: Number Series- 3 - Question 26

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

5, 27, 61, 122, 213, 340, 509

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 26

The terms of the series are (23 - 3), (33 - 3), (43 - 3), (53 - 3), (63 - 3), (73 - 3),

(83-3).

So, 27 is wrong and must be replaced (33 - 3) i.e. 24.

Miscellaneous Test: Number Series- 3 - Question 27

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

3, 7, 15, 39, 63, 127, 255, 511

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 27

The correct pattern is x 2 + 1.

So, 39 is wrong and must be replaced by (15 x 2 + 1) i.e. 31.

Miscellaneous Test: Number Series- 3 - Question 28

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

380, 188, 92, 48, 20, 8, 2

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 28

The correct pattern is - 192, - 96, - 48, - 24, - 12, - 6.

So, 48 is wrong and must be replaced by (92 - 48) i.e. 44.

Miscellaneous Test: Number Series- 3 - Question 29

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

16, 22, 30, 45, 52, 66

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 29

The correct pattern is + 6, + 8, + 10, + 12, + 14.

So, 45 is wrong and must be replaced by (30 + 10) i.e. 40.

Miscellaneous Test: Number Series- 3 - Question 30

Directions to Solve

In this type of questions, one term in the number series is wrong. Find out the wrong term.

Question -

10, 26, 74, 218, 654, 1946, 5834

Detailed Solution for Miscellaneous Test: Number Series- 3 - Question 30

The correct pattern is x 3 - 4.

So, 654 is wrong and must be replaced by (218 x 3 - 4) i.e. 650.

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