Question 80

The greatest four digit number that is divisible by both 15 and 35 is

Solution

L.C.M. of 15 and 35 = 105

Now, the greatest 4 digit number = 9999

By dividing 9999 with 105, => $$9999 = 105 \times 95 + 24$$

Quotient = 95 and remainder = 2

Thus, the greatest 4 digit number that can be divided by 105(15 and 35) = 9999 - 24 = 9975

=> Ans - (C)

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