The difference between the squares of two consecutive odd integers is always divisible by: | StudyFlash MCQ

Maths Number System

The difference between the squares of two consecutive odd integers is always divisible by:

दो क्रमागत विषम पूर्णांकों के वर्गों के बीच का अंतर हमेशा विभाज्य होता है:

A

(a) 7

B

(b) 8

C

(c) 6

D

(d) 3

Correct Answer: Option B

Explanation / व्याख्या:

(a+2)²-a²=4a+4=4(a+1). a is odd ⟹ a+1 is even ⟹ 4(a+1) div by 8.

(a+2)²-a²=4(a+1)। a विषम ⟹ a+1 सम ⟹ 4(a+1) 8 से विभाज्य।

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