A number 4¹⁶+1 is divisible by ϰ. Which among the following is also divisible by ϰ? | StudyFlash MCQ

Maths Number System

A number 4¹⁶+1 is divisible by ϰ. Which among the following is also divisible by ϰ?

एक संख्या 4¹⁶+1, ϰ से विभाज्य है। निम्नलिखित में से कौन ϰ से भी विभाज्य है?

A

(a) 4⁹⁶+1

B

(b) 4³²+1

C

(c) 4⁸+1

D

(d) 4⁴⁸+1

Correct Answer: Option A

Explanation / व्याख्या:

aⁿ+bⁿ div by a+b when n odd. (4¹⁶)³+1³=4⁴⁸+1 is div by 4¹⁶+1=ϰ.

(4¹⁶)³+1 = 4⁴⁸+1, 4¹⁶+1 से विभाज्य।

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