Question 51

If a number is divided by 30 then it leaves 17 as a remainder. What will be the remainder when the same number is divided by 10?

Solution

The number when divided by 30 leaves remainder 17, => Number is of the form = $$N=30k+17$$, where $$k$$ is a whole number.

Now, when $$N$$ is divided by 10, we get : $$\frac{30k+17}{10}$$

= $$(\frac{30k}{10})+(\frac{17}{10})$$

$$\because30k$$ is completely divisible by 10, hence the second term will determine the remainder.

=> Remainder when 17 is divided by 10 is $$17\%10=7$$

=> Ans - (A)

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