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It is given that (2^(32)+1) is exactly d...

It is given that `(2^(32)+1)` is exactly divisible by a certain number. Which of the following is also definitely divisible by the same number? `2^(16)+1` (b) `2^(16)-1` (c) `7xx2^(33)` (d) `2^(96)+1`

A

`(2^(16)+1)`

B

`(2^(16)-1)`

C

`(7xx2^(13)`

D

`(2^(96)+1)`

Text Solution

Verified by Experts

The correct Answer is:
D
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ARIHANT SSC-NUMBER SYSTEM-HIGHER SKILL LEVEL QUESTIONS
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  3. What is the remainder when 4^(1000), is divisible by 7?

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  5. The remainder when 9+6 is divided by 8 is

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  6. What will be the remainder when 19^(100) is divided by 20?

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  7. It is given that (2^(32)+1) is exactly divisible by a certain number. ...

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  9. 19^(5)+21^(5) is divisible by

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  10. If a is a natural number, then the largest number dividing (a^(3)-a) i...

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  11. 7^12-4^12 is exactly divisible by which of the following number?

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  13. The smallest positive prime (say p) such that 2^(P)-1 is not a prime i...

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  15. (? – 968) ÷ 79 × 4 = 512

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  17. Consider the following statements. I. To obtain prime number less th...

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  18. Consider the following statements. I. 771021240 is divisible by 11. ...

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