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nth Term of A.P

The largest n...

Question

The largest number, which divides $25, 73$ and $97$ to leave the same remainder in each case, is

A

24

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B

23

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C

21

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D

6

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Solution

The correct option is B $24$
Subtract the least among three with other two
So,
73-25=48
97-25=72
Now GCD of 48 and 72 is 24.
Hence, 24 is the answer.

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