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