The number of odd numbers between 1,100 that are divisible by 5 is A)

1.	The number of odd numbers between 1,100 that are divisible by 5 is A) 15 B) 5 C) 10 D) 11
Answer» Correct option is (C) 10 5, 15, 25, ........., 95 is the arithmetic progression of common difference 10 whose terms are odd numbers between 1 & 100 and divisible by 5. \(\therefore a_1=a=5\;\&\;d=10,a_n=95\) Now, \(a_n=a+(n-1)d\) \(\Rightarrow95=5+(n-1)10\) \(\Rightarrow10(n-1)=95-5=90\) \(\Rightarrow n-1=\frac{90}{10}=9\) \(\Rightarrow n=9+1=10\) Hence, there are total 10 odd numbers between 1 & 100 that are divisible by 5. Correct option is C) 10

The number of odd numbers between 1,100 that are divisible by 5 is A) 15 B) 5 C) 10 D) 11

Answer»

Correct option is (C) 10

5, 15, 25, ........., 95 is the arithmetic progression of common difference 10 whose terms are odd numbers between 1 & 100 and divisible by 5.

\(\therefore a_1=a=5\;\&\;d=10,a_n=95\)

Now, \(a_n=a+(n-1)d\)

\(\Rightarrow95=5+(n-1)10\)

\(\Rightarrow10(n-1)=95-5=90\)

\(\Rightarrow n-1=\frac{90}{10}=9\)

\(\Rightarrow n=9+1=10\)

Hence, there are total 10 odd numbers between 1 & 100 that are divisible by 5.

Correct option is C) 10