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It is given that (232 + 1) is exactly divisible by a certain number. which one of the following is also definitely divisible by the same number ?
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- 296 + 1
- 7 × 233
- 216 – 1
- 216 + 1
Correct Option: A
296 + 1 = (232)3 + 13
296 + 1 = (232 + 1) (264 – 232 + 1)
Clearly, 232 + 1 is a factor of 296 + 1
Hence required answer is 296 + 1 .