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Question : Directions: What should come in place of the question mark (?) in the given series?
3, 10, 39, ?, 885, 5346, 37471

Option 1: 56

Option 2: 45

Option 3: 720

Option 4: 172


Team Careers360 5th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

Correct Answer: 172


Solution : Given:
3, 10, 39, ?, 885, 5346, 37471

Multiply and add the square of the number (starting from 2), to the given numbers, to obtain the next numbers of the given series.
3→(3 × 2) + (2) 2 = 6 + 4 = 10
10→(10 × 3) + (3) 2 = 30 + 9 = 39
39→(39 × 4) + (4) 2 = 156 + 16 = 172
172→(172 × 5) + (5) 2 = 860 + 25 = 885
885→(885 × 6) + (6) 2 = 5310 + 36 = 5346
5346→(5346 × 7) + (7) 2 = 37422 + 49 = 37471

So, 172 is the required number of the given series. Hence, the fourth option is correct.

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