Question : Directions: What should come in place of the question mark (?) in the given series?
242, 246, 255, ?, 296
Option 1: 271
Option 2: 264
Option 3: 270
Option 4: 259
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Correct Answer: 271
Solution :
Given:
242, 246, 255, ?, 296
Add the squares of the consecutive numbers (starting from 2) to each term to get the next term of the series.
242 + (2)
2
= 242 + 4 = 246
246 + (3)
2
= 246 + 9 = 255
255 + (4)
2
= 255 + 16 = 271
271 + (5)
2
= 271 + 25 = 296
So, 271 is the missing number of the series. Hence, the first option is correct.
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