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Series - Free MCQ Practice Test with solutions, Class 6 Science Olympiad


MCQ Practice Test & Solutions: Test: Series (10 Questions)

You can prepare effectively for Class 6 Science Olympiad Class 6 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Series". These 10 questions have been designed by the experts with the latest curriculum of Class 6 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 15 minutes
  • - Number of Questions: 10

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Test: Series - Question 1

Find the missing number, if same rule is followed in all the three figures.

Detailed Solution: Question 1

The rule followed is:
(3 x 3) + (4 x 4) = 9 + 16 = 25;
(9 x 9) + (10 x 10) = 81 + 100 = 181
So, (7 x 7) + (8 x 8) = 49 + 64 = 113

Test: Series - Question 2

Find the missing number in the given series 13, 24, 46, 90, 178, ?.

Detailed Solution: Question 2

Given series: 13, 24, 46, 90, 178, ?.

24 – 13 = 11

46 – 24 = 22

90 – 46 = 44

178 – 90 = 88

The logic used here is that the difference between two successive numbers is doubled consecutively.

So, if 88 is doubled, we get 176.

Hence, 178 + 176 = 354.

Thus, the missing term in the sequence is 354.

So, the complete series is 13, 24, 46, 90, 178, 354.

Test: Series - Question 3

 Find the missing number in the given series 4, 18, ___, 100, 180, 294, 448.

Detailed Solution: Question 3

The given sequence is obtained as follows:

23 – 22 = 8 – 4 = 4

33 – 32 = 27 – 9 = 18

43 – 42 = 64 – 16 = 48

53 – 52 = 125 – 25 = 100

63 – 62 = 216 – 36 = 180

73 – 72 = 343 – 49 = 294

83 – 82 = 512 – 64 = 448

Hence, the missing number in the series is 48.

So, the complete series is 4, 18, 48, 100, 180, 294, 448.

Test: Series - Question 4

Choose the correct number in place of ?.

Detailed Solution: Question 4

2 + 3 + 6 + 9 = 20 
So, 202 = 400
1 + 4 + 9 + 13 = 27 
So,  272 = 729
9 + 8 + 11 + 2 = 30 
So, 302 = 900
So, the correct answer is 900

Test: Series - Question 5

Complete the series 1, 2, 10, 37, 101, __.

Detailed Solution: Question 5

Given series: 1, 2, 10, 37, 101, ___.

1 + 13 = 1 + 1 = 2

2 + 23 = 2 + 8 = 10

10 + 33 = 10 + 27 = 37

37 + 43 = 37 + 64 = 101

101 + 53 = 101+ 125 = 226

Thus, the given series follows a pattern of the sum of cubes of the consecutive natural numbers.

So, the complete series 1, 2, 10, 37, 101, 226.

Test: Series - Question 6

Find out the wrong term in the given series: 2, 3, 12, 37, 86, 166, 288.

Detailed Solution: Question 6

Given series: 2, 3, 12, 37, 86, 166, 288.

2 + 12 = 2 + 1 = 3

3 + 32 = 3 + 9 = 12

12 + 52 = 12 + 25 = 37

37 + 72 = 37 + 49 = 86

86 + 92 = 86 + 81 = 167

167 + 112 = 167 + 121 = 288.

Here, the series follows a pattern of addition of the square of the consecutive odd numbers.

So, from the given number series 2, 3, 12, 37, 86, 166, 288, the wrong term is 166, because it should be 167.

Test: Series - Question 7

Find the missing number 25 : 37 :: 49 : ?

Detailed Solution: Question 7

Here, 52 = 25 and (5 + 1)2 + 1 = 37

Similarly, 72 = 49 and (7 + 1)2 + 1 = 65.

So, the missing number is 65.

Test: Series - Question 8

What will come at the place of question mark ?
7, 26, 63, 124, 215, 342, ?

Detailed Solution: Question 8

The terms are given in a series:
(23 - 1) = 7
(33 - 1) = 26
(43 - 1) = 63
(53 - 1) = 124
(63 - 1) = 215
(73 - 1) = 342
So, the missing term is,
(83 - 1) = 511.

Test: Series - Question 9

What will come at the place of question mark ?
2, 3, 6, 15, ?, 123

Detailed Solution: Question 9

Check the difference between terms:
3 - 2 = 1
6 - 3 = 3
15 - 6 = 9
? - 15 = ?
123 - ? = ?
Notice: 1, 3, 9... These are powers of 3:
30 = 1
31 = 3
32 = 9
So, next should be 33 = 27
So, ? - 15 = 27
Thus, ? = 15 + 27 = 42
But then 123 - 42 = 81, which is 34 = 81.
So, the correct pattern is:
Add 3n where n starts from 0:
2 + 1 = 3
3 + 3 = 6
6 + 9 = 15
15 + 27 = 42
42 + 81 = 123
Therefore, the missing number is 42.
However, the correct answer should be option b) 42. The options given need to be corrected to highlight 42 as the correct answer.

Test: Series - Question 10

What will come at the place of question mark ?
113, 225, 449, ? , 1793

Detailed Solution: Question 10

Given series: 113, 225, 449, ? , 1793
113 x 2 = 226 -1 = 225
225 x 2 = 450 -1 = 449
449 x 2 = 898 - 1 = 897
897 x 2 = 1794 -1 = 1793
So, the correct answer is 897.

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