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  • If the HCF of 65 and 117 is expressible in the form 65 m – 117, then the value of m is (A) 4(B) 2(C) 1(D) 3

If the HCF of 65 and 117 is expressible in the form 65 m – 117, then the value of m is
(A) 4                (B) 2                (C) 1                (D) 3

Answers (1)

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Answer.  [B]
Solution. First of all, let us find the HCF of 65 and 117
        

65 = 1 × 5 × 13
117 = 1 × 3 × 13 × 3
 HCF = 13                    ….(1)
According to question HCF = 65 m – 117
Using (1)
13 = 65 m – 117
13 + 117 = 65 m

\frac{130}{65}= m
m = 2
Therefore, option (b) is correct.

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