When the numbers 7807, 8022 and 8667 were divided by the greatest number x, then the remainder in each case was the same. The sum of the digits of x is:
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Correct answer: A
Explanation
The correct answer is option 1 i.e. 8.
Differences: 8022 − 7807 = 215;
8667 − 8022 = 645;
8667 − 7807 = 860
x = HCF(215, 645, 860)
HCF(215, 645) = 215
HCF(215, 860) = 215
x = 215
Sum of digits = 2 + 1 + 5 = 8