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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


Team Careers360 2nd Jan, 2024
Answer (1)
Team Careers360 4th Jan, 2024

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 + 12 = 57 + 1 = 58,
58 + 22 = 58 + 4 = 62,
62 + 32 = 62 + 9 = 71,
71 + 42 = 71 + 16 = 87,
87 + 52 = 87 + 25 = 112,
112 + 62 = 112 + 36 = 148

So, 58 is the missing term in the given series. Hence, the third option is correct.

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