Question : Directions: Which number will replace the question mark (?) in the following number series?
5, 24, 61, 122, 213, ?
Option 1: 343
Option 2: 337
Option 3: 346
Option 4: 340
Correct Answer: 340
Solution :
Given:
5, 24, 61, 122, 213, ?
Subtract 3 from the cube of consecutive natural numbers starting from 2, to get the required missing number in the series –
2
3
– 3 = 8 – 3 = 5
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 fourth option is correct.
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