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Test Level 2: Number Series - CAT MCQ


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15 Questions MCQ Test Level-wise Tests for CAT - Test Level 2: Number Series

Test Level 2: Number Series for CAT 2024 is part of Level-wise Tests for CAT preparation. The Test Level 2: Number Series questions and answers have been prepared according to the CAT exam syllabus.The Test Level 2: Number Series MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test Level 2: Number Series below.
Solutions of Test Level 2: Number Series questions in English are available as part of our Level-wise Tests for CAT for CAT & Test Level 2: Number Series solutions in Hindi for Level-wise Tests for CAT course. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free. Attempt Test Level 2: Number Series | 15 questions in 30 minutes | Mock test for CAT preparation | Free important questions MCQ to study Level-wise Tests for CAT for CAT Exam | Download free PDF with solutions
Test Level 2: Number Series - Question 1
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Directions: Find the missing number in the following series.

210, 21, 189, ?, 170.1, 17.01

Detailed Solution for Test Level 2: Number Series - Question 1

The given series follows a pattern as given below:
210 ÷ 10 = 21
21 × 9 = 189
189 ÷ 10 = 18.9
18.9 × 9 = 170.1
170.1 ÷ 10 = 17.01
So, the missing number is 18.9.

Test Level 2: Number Series - Question 2
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Find the missing term in the following series:

10, 11, 24, 75, 304, ?

Detailed Solution for Test Level 2: Number Series - Question 2

First term – 10
Second term – 10 × 1 + 1 = 11
Third term – 11 × 2 + 2 = 24
Fourth term – 24 × 3 + 3 = 75
Fourth term – 75 × 4 + 4 = 304
Missing term – 304 × 5 + 5 = 1525

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Test Level 2: Number Series - Question 3
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Directions: Find the wrong term in the following number series.

22, 21, 41, 128, 513, 2564

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

The given series follows the pattern as shown below:

22 × 1 - 1 = 21

21 × 2 + 1 = 43

43 × 3 - 1 = 128

128 × 4 + 1 = 513

513 × 5 - 1 = 2564

Therefore, 41 is the wrong term in the series.

Test Level 2: Number Series - Question 4
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Directions: Find the wrong term in the following series.

11, 45, 215, 1165, 5315, 26565
Detailed Solution for Test Level 2: Number Series - Question 4

The given series follows a pattern as shown below.
11 x 5 - 10 = 55 - 10 = 45
45 x 5 - 10 = 225 - 10 = 215
215 x 5 - 10 = 1075 - 10 = 1065
1065 x 5 - 10 = 5325 - 10 = 5315
5315 x 5 - 10 = 26575 - 10 = 26565
Therefore, 1165 is the wrong term in the given series.

Test Level 2: Number Series - Question 5
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Directions: Find the wrong term in the following number series.

54, 68, 85, 106, 134, 164
Detailed Solution for Test Level 2: Number Series - Question 5

The given series follows the pattern as shown below.


Therefore, 134 is the wrong term in the given series.

Test Level 2: Number Series - Question 6
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Directions: Find the wrong term in the following series.

8, 15, 41, 169, 841, 5041, 35281
Detailed Solution for Test Level 2: Number Series - Question 6

The given series follows a pattern as shown below.
8 x 2 - 1 = 16 - 1 = 15
15 x 3 - 2 = 45 - 2 = 43
43 x 4 - 3 = 172 - 3 = 169
169 x 5 - 4 = 845 - 4 = 841
841 x 6 - 5 = 5046 - 5 = 5041
5041 x 7 - 6 = 35287 - 6 = 35281
So, the wrong term in the given series is 41.

Test Level 2: Number Series - Question 7
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What should come in place of the question mark in the following number series?

1, 4, 27, 16, 125, 36, ?
Detailed Solution for Test Level 2: Number Series - Question 7

The pattern is as follows.
13 = 1 
22 = 4
33 = 27
42 = 16
53 = 125
62 = 36
73 = 343 

Test Level 2: Number Series - Question 8
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What should come in place of the question mark in the following number series?

4, 8, 6, 18, 10, 50, ?, 98
Detailed Solution for Test Level 2: Number Series - Question 8

The given series is an alternate series. Odd series is double of consecutive prime numbers.
i.e.
2 × 2 = 4
3 × 2 = 6
5 × 2 = 10
7 × 2 = 14

Even series is as:

42/2 = 8

62/2 = 18

102/2 = 50

142/2 = 98

Test Level 2: Number Series - Question 9
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Directions: Select the number that will come in place of the question mark (?) in the following series.

18, 23, 38, 83, 218, ?
Detailed Solution for Test Level 2: Number Series - Question 9

Test Level 2: Number Series - Question 10
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Find the missing term in the following series:

2, 5, 14, 41, 122, ?
Detailed Solution for Test Level 2: Number Series - Question 10

Here, the pattern is addition of powers of 3 to the previous terms to get the next term.
First term – 2
Second term – 2 + 3 = 5
Third term – 5 + 9 = 14
Fourth term – 14 + 27 = 41
Fifth term – 41 + 81 = 122 
Missing term – 122 + 243 = 365

Test Level 2: Number Series - Question 11
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Find the missing term in the following series:

15, 19, 28, 44, 69, ?
Detailed Solution for Test Level 2: Number Series - Question 11

First term – 15
Second term – 15 + 22 = 19
Third term – 19 + 32 = 28
Fourth term – 28 + 42 = 44
Fifth term – 44 + 52 = 69
Missing term – 69 + 62 = 105

Test Level 2: Number Series - Question 12
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Find the missing term in the following series.

6, 17, 39, 83, 171, ?
Detailed Solution for Test Level 2: Number Series - Question 12

First term – 6
Second term – 6 × 2 + 5 = 17
Third term – 17 × 2 + 5 = 39
Fourth term – 39 × 2 + 5 = 83
Fifth term – 83 × 2 + 5 = 171
Missing term – 171 × 2 + 5 = 347

Test Level 2: Number Series - Question 13
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Directions: Find the odd one out number in the series.

7, 60, 325, 1640, 8275
Detailed Solution for Test Level 2: Number Series - Question 13

Series is as follows.
(7 + 5) × 5 = 60,
(60 + 5) × 5 = 325,
(325 + 5) × 5 = 1650,
(1650 + 5) × 5 = 8275
Therefore, option (3) is the correct answer.

Test Level 2: Number Series - Question 14
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Directions: Find the odd one out number in the series.

323, 221, 143, 79, 35, 15
Detailed Solution for Test Level 2: Number Series - Question 14

Series is as follows.
19 × 17,
17 × 13,
13 × 11,
11 × 7,
7 × 5,
5 × 3
Multiplication of prime numbers is done in decreasing order.
Therefore, option (1) is the correct answer.

Test Level 2: Number Series - Question 15
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Directions: Find the wrong term in the following series.

7, 28, 63, 124, 215, 342, 511
Detailed Solution for Test Level 2: Number Series - Question 15

23 - 1 = 7
33 - 1 = 26 (Not 28)
43 - 1 = 63
53 - 1 = 124
63 - 1 = 215
73 - 1 = 342
83 - 1 = 511
Hence, 28 is a wrong number. The correct number is 26.

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