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Find the greatest number that will divide 48, 97 and 188 and leaves the reminder 6 in each case.Options :A.4B.7C.2D.6

Question

Find the greatest number that will divide 48, 97 and 188 and leaves the reminder 6 in each case.Options :A.4B.7C.2D.6

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Solution

The greatest number that will divide 48, 97, and 188 and leaves the remainder 6 in each case can be found by first subtracting the remainder from each of the numbers. This gives us 42 (48-6), 91 (97-6), and 182 (188-6).

The greatest common divisor (GCD) of these three numbers is the number we are looking for. The GCD of 42, 91, and 182 is 7.

So, the answer is B. 7.

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