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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