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Test Level 3: Series Solved MCQs CAT


MCQ Practice Test & Solutions: Test Level 3: Series (15 Questions)

You can prepare effectively for CAT Level-wise Tests for CAT with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test Level 3: Series". These 15 questions have been designed by the experts with the latest curriculum of CAT 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 30 minutes
  • - Number of Questions: 15

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Test Level 3: Series - Question 1
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Directions: Find the missing term in the following number series.
3, 4.5, ?, 3.5, 1, 4.5, 3, 7.5

Detailed Solution: Question 1

In the given series, addition and subtraction take place alternately. The numbers being added are 1.5, 2.5, 3.5, 4.5, while the numbers being subtracted are 3.5, 2.5, 1.5.
3 + 1.5 = 4.5
4.5 - 3.5 = 1
1 + 2.5 = 3.5
3.5 - 2.5 = 1
1 + 3.5 = 4.5
4.5 - 1.5 = 3
3 + 4.5 = 7.5
Thus, the missing number is 1.

Test Level 3: Series - Question 2
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What should come in place of question mark in the following number series?
280, 142, 73, ?, 21.25

Detailed Solution: Question 2

The following series follows the pattern of $\left (\frac{n}{2} + 2 \right )$.
$\left (\frac{280}{2} + 2 \right )$ = 142
$\left (\frac{142}{2} + 2\right )$ = 73
$\left (\frac{73}{2} + 2 \right )$ = 38.5
$\left (\frac{38.5}{2} + 2 \right )$ = 21.25
Therefore, the correct answer is 38.5.

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Test Level 3: Series - Question 3
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Directions: Find out the wrong number in the given sequence.
7, 4, 6, 9, 20, 52.5, 160.5

Detailed Solution: Question 3

The given number series is based on the following pattern:

Hence, the wrong number is 6.

Test Level 3: Series - Question 4
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Which of the following will take the place of '?' in the following series?
2.5, 5, 10, 17.5, 27.5, ?

Detailed Solution: Question 4

The sequence follows the pattern given below. 
2.5 + (1 × 2.5) = 2.5 + 2.5 = 5.0
5.0 + (2 × 2.5) = 5 + 5 = 10.0
10.0 + (3 × 2.5) = 10 + 7.5 = 17.5
17.5 + (4 × 2.5) = 17.5 + 10.0 = 27.5
27.5 + (5 × 2.5) = 27.5 + 12.5 = 40 
Therefore, the missing number is 40.

Test Level 3: Series - Question 5
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Which of the following will take the place of '?' in the following series?
5, 6, 13, 38, 117, ?

Detailed Solution: Question 5

 The sequence is going as follows.
5 + (31 - 2) = 6
6 + (32 - 2) = 13
13 + (33 - 2) = 38
38 + (34 - 2) = 117
117 + (35 - 2) = 358 
Hence, the missing number is 358.

Test Level 3: Series - Question 6
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Which of the following will take the place of '?' in the following series?
24, 41, 54, 63, 68, ?

Detailed Solution: Question 6

Since,
41 - 24 = 17
54 - 41 = 13
63 - 54 = 9
68 - 63 = 5
⇒ ? - 68 = 1
⇒ ? = 69

Test Level 3: Series - Question 7
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What should come in place of the question mark (?) in the following series?
13, 27, ?, 78, 119, 173

Detailed Solution: Question 7

The series is in the following pattern.
13 + 42 - 2 = 27
27 + 52 - 4 = 48
48 + 62 - 6 = 78
78 + 72 - 8 = 119
119 + 82 - 10 = 173
Thus, the missing number is 48.

Test Level 3: Series - Question 8
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Find the missing term and complete the sequence.
163, 134, 111, 94, 83, ?

Detailed Solution: Question 8

The pattern is given below:
163 - 29 = 134
134 - 23 = 111
111 - 17 = 94
94 - 11 = 83
83 - 5 = 78
So, 78 is the missing number.
Alternative solution:

Test Level 3: Series - Question 9
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Find the missing term in the following number series.
2, 5.5, ?, 136.5, 1648

Detailed Solution: Question 9

The series follows the following pattern:
2 × 1.5 + 2.5 = 5.5
5.5 × 3 + 5 = 21.5
21.5 × 6 + 7.5 = 136.5
136.5 × 12 + 10 = 1648
So, the missing number is 21.5.

Test Level 3: Series - Question 10
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Directions: In the following letter series, some of the letters are missing which are given in that order as one of the alternatives below it. Choose the correct alternative.
__ op __ mo __ n __ __ pnmop __

Detailed Solution: Question 10

The series is mopn/mopn/mopn/mopn. Thus, the pattern 'mopn' is repeated.

Test Level 3: Series - Question 11
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What should come in place of the question mark (?) in the following sequence?
324, 270, ?, 187.5, 156.25

Detailed Solution: Question 11

324 × (5/6) = 270
270 x (5/6) = 225
225 x (5/6) = 187.5
187.5 x (5/6) = 156.25
So, the sequence is:
324, 270, 225, 187.5, 156.25
Therefore, the missing number is 225.

Test Level 3: Series - Question 12
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Directions: Find out the wrong number in the given sequence.
4, 6, 12, 30, 75, 315, 1260

Detailed Solution: Question 12

The given number series is based on the following pattern:

Hence, the wrong number is 75.

Test Level 3: Series - Question 13
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Find the missing term in the following number series.
17, 33.5, 133, ?, 6370

Detailed Solution: Question 13

The series follows the following pattern:
17 × 2 - 0.5 = 34 - 0.5 = 33.5
33.5 × 4 - 1 = 134 - 1 = 133
133 × 6 - 1.5 = 798 - 1.5 = 796.5
796.5 × 8 - 2 = 6372 - 2 = 6370
So, the missing number is 796.5.

Test Level 3: Series - Question 14
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Find the missing term in the following number series.
2, 6, 21, ?, 445, 2676

Detailed Solution: Question 14

The series follows the following pattern:
1 × 1 + 1 = 2
(2 × 2) + 2 = 6
(6 × 3) + 3 = 21
(21 × 4) + 4 = 88
(88 × 5) + 5 = 440 + 5 = 445
(445 × 6) + 6 = 2670 + 6 = 2676
So, the missing number is 88.

Test Level 3: Series - Question 15
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What should come in place of the question mark (?) in the following number series?
56, 84, 126, 189, ?

Detailed Solution: Question 15

From the given sequence, we notice that
56 × 3 ÷ 2 = 84
84 × 3 ÷ 2 = 126
126 × 3 ÷ 2 = 189
189 × 3 ÷ 2 = 283.5

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About this CAT Practice Test

This test contains 15 MCQs on Test Level 3: Series with detailed solutions for each question. It is part of the Level-wise Tests for CAT course on EduRev, designed to align with the current CAT syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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