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
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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