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If b is the largest square divisor of c and \( \Large a^{2} \) divides c, then which one of the following is correct? (where, a, b and c are integers)


A) b divides a

B) a does not divide b

C) a divides b

D) a and b are coprime

Correct Answer:
C) a divides b

Description for Correct answer:
Since, b is largest square divisor of C.

so, C = bx

(Where, x is not a whole square number)

Also, \( \Large a^{2} \) divides c.

So, \( \Large a^{2} \) will divide bx.

or a will divide b.

(since, it cannot divide x as it is not a whole square)


Part of solved Number System questions and answers : >> Aptitude >> Number System




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