Question

225 and 147 are divided by a two digit number, leaves same remainder in each case. How many such two digit numbers are possible?
1. 2
2. 3
3. 4
4. None of these

Answer 1

Correct Answer - Option 3 : 4

Given:

Numbers are 225 and 147

Concept used:

If two numbers are divided by their difference or factor of difference, leaves same remainder

Calculation:

Given numbers are 225 and 147

Difference of the numbers = 225 – 147 = 78

Calculation of factors of 78:

⇒ 1 × 78 = 78

⇒ 2 × 39 = 78

⇒ 3 × 26 = 78

⇒ 6 × 13 = 78

Factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78

Only two digit factors are = 13, 26, 39, 78

∴ Only 4 numbers are possible.