Question

The number of natural numbers divisible by $5$ between $1$ and $1000$(Both inclusive) is:

• A. $197$
• B. $199$
• C. $198$
• D. $200$

Answer 1

Answer: (D)

$200$

As per the problem we shall have to find out how many times $5$ goes into $1000$

$\Rightarrow$ Here remainder is zero as the dividend ends with 0 and the divisor is $5$.

According to the Euclid's division Lemma,

$\text{Dividend=divisor}\times \text{Quotient + Remainder}$

$\Rightarrow \text{Quotient}=\frac{Dividend}{divisor}$ ...(Since Remainder = 0)

$\Rightarrow$ Quotient $=\frac{1000}{5}=200$