Question 49

Find the least number that should be added to 2497 so that the sum is divisible by 5, 6, 4 and 3.

Solution

$$LCM\left(5,6,4,3\right)=5\times4\times3=60.$$

So, A number is divisible by 5,6,4 and 3 if only it is in = $$60k\left(where\ k\ \ is\ any\ integer\right)$$ form.

If we put , k=42, $$60k=60\times42=2520.$$

So, A least number $$\left(2520-2497\right)=23\ $$ should be add.

A is correct choice.

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