Test: Series - Class 6 MCQ

# Test: Series - Class 6 MCQ

Test Description

## 10 Questions MCQ Test Science Olympiad Class 6 - Test: Series

Test: Series for Class 6 2024 is part of Science Olympiad Class 6 preparation. The Test: Series questions and answers have been prepared according to the Class 6 exam syllabus.The Test: Series MCQs are made for Class 6 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Series below.
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Test: Series - Question 1

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

Detailed Solution for Test: Series - Question 1

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

Test: Series - Question 2

### Write the formula for arithmetic and geometric series.

Detailed Solution for Test: Series - Question 2

As we know, the arithmetic sequence is of the form: a, a + d, a + 2d, a + 3d, …

Hence, the formula for arithmetic series is a + (a + d) + (a + 2d) + (a + 3d) + …

Similarly, the geometric sequence is of the form: a, ar, ar2,…., ar(n-1),…

Hence, the formula for geometric series is a + ar + ar2 + …+ ar(n-1)+ …

Test: Series - Question 3

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

Detailed Solution for Test: Series - Question 3

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.

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

Test: Series - Question 4

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

Detailed Solution for Test: Series - Question 4

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.

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

Test: Series - Question 5

Choose the correct number in place of ?.

Detailed Solution for Test: Series - Question 5

2+3+6+9 = 20   so  202
1+4+9+13 = 27   so  272
9+8+11+2 = 30   so  302

Test: Series - Question 6

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

Detailed Solution for Test: Series - Question 6

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 7

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

Detailed Solution for Test: Series - Question 7

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 8

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

Detailed Solution for Test: Series - Question 8

Here, 52 = 25 and (5 + 1)2 + 1 = 37

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

Hence, the missing number is 65.

Test: Series - Question 9

Find the missing number, if a certain rule is followed either row-wise or column-wise.

Detailed Solution for Test: Series - Question 9

[(6 + 3) x 3] x 2 = (9 x 3) x 2 = 27 x 2 = 54
[(7 + 2) x 7] x 2 = (9 x 7) x 2 = 63 x 2 = 126
Similarly,[ ((3 + 5) ? ] x 2 = 128
8  x ?  x  2 = 128
128/16 = 8

Test: Series - Question 10

Find out the missing term in the given series: 11, 17, 39, 85, ?.

Detailed Solution for Test: Series - Question 10

Given series: 11, 17, 39, 85, ?.

11 + (32 – 3) = 11 + 6 = 17

17 + (52 – 3) = 17 + 22 = 39

39 + (72 – 3) = 39 + 46 = 85

85 + (92 – 3) = 85 + 78 = 163

Therefore, the missing number in the given series is 163.

I.e., 11, 17, 39, 85, 163.

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