Question

A number between 500 and 1000 which when divided by 30, 36 & 80 gives a remainder 11 in each case is:

1. 731
2. 571
3. 651
4. 851

Answer 1

Correct Answer - Option 1 : 731

Given:

Number divided by 30, 36 & 80 and gives a remainder 11.

Concept used:

Using concept of LCM.

Number = Divisor × Dividend + Remainder

Calculation:

The LCM of 30, 36 and 80 is 720.

720 is between 500 and 1000

The required number = 720 + Remainder

⇒ Required number = 720 + 11

⇒ Required number = 731

∴ When 731 is divided by 30, 36 and 80 gives remainder 11.