When a number is divided by 45, it leaves a remainder of 28. The remainder when the same number is divided by 15 is:

Correct option is A

Given:
A number N is divided by 45, Leaves the remainder = 28
Formula Used:
=> N = D × Q + R
Solution:
According to the given conditions,
=> N = 45 × Q + 28
On dividing N by 15,
=> $$\frac N{15}$$​ = 45 × Q + $$\frac {28}{15}$$​​
Substitute Q = 1, 2, 3, ..... n
Now substitute Q = 1 we get;
​$$=> \frac N{15} = 45 × 1 + \frac{28}{15}$$​​
=> N = $$\frac{73}{15}$$​​
Hence dividing by 15 will leave the remainder
= 13