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Q.

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


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a

64

b

32

c

128

d

256 

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.
Question ImageWhen 967 is divided the remainder is 7.
Question ImageNow we must find the GCF of 2048 and 960.
Question ImageHence, the correct answer is option 1.
 
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