Question

6. A number 'N' divided by 15 gives the
Memainder 4 What is the remainder
when the same number is dunded by 5?​

Answer 1

Step-by-step explanation:

Remainder will be 4.

N can be expressed as 15m + 4

Now when N is divided by 5, 15m will be divisible by 5 as 15 is a multiple of 5

So remainder will be 4.

Quick check - For example 64 gives remainder 4 when divided by 15. When you divide 64 by 5, remainder is 4...

can write, N=15Q1+4 , where Q1 is the quotient when divided by 15

Now i can re-write it as, N=5(3Q1)+4=5Q2+4 , where Q2=3Q1 , thus both Q1 and Q2 are integers. Now, as N=5Q2+4 , and 4 is less than 5, so we would be very much sure that 4 is the remainder, had the question asked about the remainder when divided by 3 then we would write 4 as 3 + 1, and then conclude in that case, remainder is 1.