Question

A number, when divided by 987, gives a remainder 59. When the same number is divided by 21, what is the remainder ?

A 21 Correct Answer Incorrect Answer
B 19 Correct Answer Incorrect Answer
C 17 Correct Answer Incorrect Answer
D 15 Correct Answer Incorrect Answer

Solution

Let number = x x = 987k + 59 (where k is any integer) `=>x=47xx21xx+2+17` `=>x=21(47k+2)+17` Required remainder = 17

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