When 2388 4309 and 8151 are divided by a certain 3 digit number the remainder in each case is the sa...........

Quantitative Aptitude (CPO) Number System

When 2388, 4309 and 8151 are divided by a certain 3-digit number, the remainder in each case is the same. The remainder is:

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SSC CPO 9th Dec 2019 Shift-2

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Explanation:

Correct option 4: 15
As we know,
4309-2388 = 1921
8151-4309 = 3842
8151-2388 = 5763
HCF of 1921, 3842 and 5763 is 1921.
As we know, 1921 = 17 x 113
So, the three-digit number is 113.
When we divide 2388, 4309 and 8151 by 113 we find remainder 15 in each case.