Question

The largest three-digit number which gives the same remainder 3 when divided by 4, 9, 6 is:

A 975 Correct Answer Incorrect Answer
B 979 Correct Answer Incorrect Answer
C 982 Correct Answer Incorrect Answer
D 978 Correct Answer Incorrect Answer

Solution

LCM of 4,9,6 =36

Largest number of 3 digit =999

999 divide by LCM 36 then remainder is 27

So,

999-27=972

Now Divide by 4,9,6 then gives the remainder is 3.

972+3=975

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