Skip to content
doubtly

Complete the following activity to find, ‘how many three digit natural numbers which are divisible by 5’.Activity :Three digit natural numbers divisible by 5 are as follows :100, 105, 110, ……………, 995.\(t_n = \) ____, \(a = \) ____, \(d = 5\), \(n = ?…

Q.3 (A)(ii) Complete the following activity to find, ‘how many three digit natural numbers which are divisible by 5’.

Activity :

Three digit natural numbers divisible by 5 are as follows :
100, 105, 110, ……………, 995.

\(t_n = \) ____, \(a = \) ____, \(d = 5\), \(n = ?\)

\(t_n = a + (n - 1)d\) …………… formula

\(995 = \) ____ \(+ (n - 1) \times \) ____

\(895 = (n - 1) \times 5\)

\(\dfrac{895}{5} = n - 1\)

____ \(+ 1 = n\)

____ \(= n\)

\(\therefore\) There are 180 three digit natural numbers, divisible by 5.

1 answer

Best answer

Answer: \(t_n = 995\), \(a = 100\); \(995 = 100 + (n-1) \times 5\); \(179 = n - 1\); \(179 + 1 = n\); \(n = 180\).

Here \(t_n = 995\), \(a = 100\), \(d = 5\).

\(995 = 100 + (n - 1) \times 5\)

\(895 = (n - 1) \times 5 \Rightarrow \dfrac{895}{5} = 179 = n - 1\)

\(179 + 1 = n\), so \(n = 180\).

Hence 180 three digit natural numbers are divisible by 5.

Doubtly AI · 25 Oct 2026 AI-verified · Oct 2026 Report
Was this answer helpful?

Your answer

Log in or create a free account to answer this question.