Question 71

If a positive integer ‘n’ is divisible by 3, 5 and 7, then what is the next larger integer divisible by all these numbers?

Solution

Least Common Multiple (LCM) of 3, 5, 7 = 105

$$\therefore\ $$All the numbers which are divisible by 3, 5, 7 are multiples of 105

If ‘n’ is divisible by 3, 5, 7 then the next interger which is divisible by all these numbers = n + LCM = n + 105

Hence, the correct answer is Option C

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