Question

A number between 1000 and 2000 which when divided by 30, 36 and 80 gives a remainder 11 in each case is:
1. 1451
2. 1641
3. 1712
4. 1523

Answer 1

Correct Answer - Option 1 : 1451

Given

Number is between 1000 and 2000

Number will be divisible by 30, 36 and 80 gives remainder 11 each

Calculation

LCM of 30, 36, 80 = 720

Let number will be 720 × k + 11 (k = 2)

Then the number = 720 × 2 + 11

⇒ 1440 + 11

∴ The number is 1451