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Find the largest number that divides 2053 and 967 leaves a remainder of 5 and 7 respectively.

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answer is A.

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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 2053 is divided the remainder is 5.

When 967 is divided the remainder is 7.

Now we must find the GCF of 2048 and 960.
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Hence, the correct answer is option 1.

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