Question

Find the sum of the numbers which are divisible by 10 and 11 in between 100 to 300 (100 and 300 are include).

1. 37
2. 35
3. 33
4. 31

Answer 1

Correct Answer - Option 1 : 37

Given:

Number between 100 to 300

Formula used:

If a number divide by p and q so the total number

Divisible by p + divisible by q – Divisible by L.C.M. of p and q

Calculation:

Divisible by 11

⇒ [(297 – 110)/11] + 1

⇒ (187/11) + 1

⇒ 17 + 1

⇒ 18

Divisible by 10

⇒ [(300 – 100)/10] + 1

⇒ (200/10) + 1

⇒ 20 + 1

⇒ 21

LCM of 10 and 11 is 110

Divisible by 110

⇒ [(220 – 110)/110] + 1

⇒ (110/110) + 1

⇒ 1 + 1

⇒ 2

Divisible by 10 and 11

⇒ 18 + 21 - 2

⇒ 37

∴ The numbers which are divisible by 10 and 11 is 37