Question : Directions: Which number will replace the question mark (?) in the following series?
57, ?, 62, 71, 87, 112, 148
Option 1: 61
Option 2: 60
Option 3: 58
Option 4: 59
Correct Answer: 58
Solution :
Given:
57, ?, 62, 71, 87, 112, 148
Add the square of natural numbers in increasing order, to obtain the required missing number in the series –
57 + 1
2
= 57 + 1 = 58,
58 + 2
2
= 58 + 4 = 62,
62 + 3
2
= 62 + 9 = 71,
71 + 4
2
= 71 + 16 = 87,
87 + 5
2
= 87 + 25 = 112,
112 + 6
2
= 112 + 36 = 148
So, 58 is the missing term in the given series. Hence, the third option is correct.
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