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Question : Directions: Which of the following numbers will replace the question mark (?) in the given series?
43, 51, 78, 142, 267, ?

Option 1: 483

Option 2: 473

Option 3: 463

Option 4: 493


Team Careers360 14th Jan, 2024
Answer (1)
Team Careers360 17th Jan, 2024

Correct Answer: 483


Solution : Given:
43, 51, 78, 142, 267, ?

Add cubes of the natural numbers starting from 2 to the previous numbers, to get the next number of the series –
43 + 2 3 = 43 + 8 = 51
51 + 3 3 = 51 + 27 = 78
78 + 4 3 = 78 + 64 = 142
142 + 5 3 = 142 + 125 = 267
267 + 6 3 = 267 + 216 = 483

So, 483 is the missing number. Hence, the first option is correct.

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