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Test Level 3: Series - CAT MCQ


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15 Questions MCQ Test Level-wise Tests for CAT - Test Level 3: Series

Test Level 3: Series for CAT 2024 is part of Level-wise Tests for CAT preparation. The Test Level 3: Series questions and answers have been prepared according to the CAT exam syllabus.The Test Level 3: Series MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test Level 3: Series below.
Solutions of Test Level 3: Series questions in English are available as part of our Level-wise Tests for CAT for CAT & Test Level 3: 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 3: 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 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 for Test Level 3: Series - 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 for Test Level 3: Series - 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 for Test Level 3: Series - 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 for Test Level 3: Series - 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 for Test Level 3: Series - 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 for Test Level 3: Series - 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 for Test Level 3: Series - 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 for Test Level 3: Series - 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 for Test Level 3: Series - 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 for Test Level 3: Series - 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 for Test Level 3: Series - 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 for Test Level 3: Series - 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 for Test Level 3: Series - 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 for Test Level 3: Series - 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 for Test Level 3: Series - 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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