Question : Directions: Which number will replace the question mark (?) in the following number series?
24, 61, 122, 213, ?
Option 1: 337
Option 2: 334
Option 3: 340
Option 4: 343
Correct Answer: 340
Solution :
Given:
24, 61, 122, 213, ?
Subtract 3 from the cube of consecutive natural numbers starting from 3, to get the required missing number in the series –
3
3
– 3 = 27 – 3 = 24
4
3 – 3 = 64 – 3 = 61
5
3
– 3 = 125 – 3 = 122
6
3
– 3 = 216 – 3 = 213
7
3
– 3 = 343 – 3 = 340
So, 340 is the required term in the given series. Hence, the third option is correct.
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