Question : Directions: Select the number from among the given options that can replace the question mark (?) in the following series.
242, 288, ?, 392, 450
Option 1: 338
Option 2: 375
Option 3: 316
Option 4: 324
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Correct Answer: 338
Solution :
Given:
242, 288, ?, 392, 450
Multiply the square of the consecutive natural numbers (starting from 11) by 2 to get the terms given in the series.
(11)
2
× 2 = 121 × 2 = 242
(12)
2
× 2 = 144 × 2 = 288
(13)
2
× 2 = 169 × 2 = 338
(14)
2
× 2 = 196 × 2 = 392
(15)
2
× 2 = 225 × 2 = 450
So, 338 is the missing term in the series. Hence, the first option is correct.
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