Question : Directions: In the following question, a series is given with one number missing. Select the missing number from the given alternatives.
16, 17, 25, 52, 116, ?
Option 1: 225
Option 2: 219
Option 3: 241
Option 4: 263
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Correct Answer: 241
Solution :
Given:
16, 17, 25, 52, 116, ?
Add the cubes of consecutive natural numbers to the terms.
16 + (1)
3
= 16 + 1 = 17; 17 + (2)
3
= 17 + 8 = 25; 25 + (3)
3
= 25 + 27 = 52; 52 + (4)
3
= 52 + 64 = 116; 116 + (5)
3
= 116 + 125 = 241
So, the required number missing number is 241. Hence, the third option is correct.
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