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Find the largest positive integer that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively.

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answer is C.

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Detailed Solution

Concept- When remainder is subtracted from dividend the resultant is divisible by the divisor. So, we must first find the divisible numbers and the HCF of the three numbers will be the answer.
When 398 is divided the remainder is 7.

When 436 is divided the remainder is 11.

When 542 is divided the remainder is 15.

HCF of 391, 425, 527
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The highest common factor is 17.
Hence, the correct answer is option 3.

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