Question

What least number should be subtracted from 2983 so that the resulting number when divided by 9, 10 and 15, the remainder in each case is 3?
1. 10
2. 13
3. 12
4. 9

Answer 1

Correct Answer - Option 1 : 10

Given :

A number when divided by 9,10 and 15 the remainder in each case be 3

What least number should be subtracted from 2983 to get desired result

Concept used :

Take the LCM of given numbers to get required value and perform accordingly

Calculation :

LCM of 9,10 and 15 = 90

Now, when 2983 divided by 90 the remainder is 13 

⇒ 13 should be subtracted from 2983 to make it divisible by all three numbers i.e. 9,10 and 15

⇒ Desired number = 2983 - 13

⇒ 2970

but there should be remainder of 3 in each case

⇒ 3 must be added to 2970

⇒ 2973

⇒ 10 is the least number that should be subtracted from 2983 to get desired result