If ϰ is a positive integer such that 2ϰ + 12 is perfectly divisible by ϰ, then the number of possible values of ϰ is: | StudyFlash MCQ

Maths Number System

If ϰ is a positive integer such that 2ϰ + 12 is perfectly divisible by ϰ, then the number of possible values of ϰ is:

यदि ϰ एक धनात्मक पूर्णांक है जैसे कि 2ϰ + 12, ϰ से पूर्णतः विभाज्य है, तो ϰ के संभावित मानों की संख्या है:

A

(a) 2

B

(b) 5

C

(c) 6

D

(d) 12

Correct Answer: Option C

Explanation / व्याख्या:

2ϰ+12 divisible by ϰ ⟹ 12 divisible by ϰ. Divisors of 12: 1,2,3,4,6,12 → 6 values.

2ϰ+12, ϰ से विभाज्य ⟹ 12, ϰ से विभाज्य। 12 के भाजक: 1,2,3,4,6,12 → 6 मान।

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