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The greatest number that divides 63, 75 and 93 leaving remainder 3 in each case is:
Question

The greatest number that divides 63, 75 and 93 leaving remainder 3 in each case is:

A.

15

B.

12

C.

9

D.

6

Correct option is D

Given:

The greatest number that divides 63, 75, and 93, leaving remainder 3 in each case.

Solution:

Subtract the remainder 3 from each number:

63 - 3 = 60, 75 - 3 = 72,  93 - 3 = 90

Now , HCF(60,72,90) = 6

Thus, 6 is the greatest number which divides 63, 75, and 93, leaving remainder 3 in each case.

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