1.

Find the sum of the numbers which are divisible by 10 and 11 in between 100 to 300 (100 and 300 are include).1. 372. 353. 334. 31

Answer» 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


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