On dividing a number by 55, the remainder is 28. What is the remainder when the same number is divided by 11?

Question

Accepted Answer

Let the number be N. When N is divided by 55, the remainder is 28. So, N can be written as N = 55k + 28 for some integer k.

Now, when N is divided by 11, we want to find the remainder.

Since 55 = 11 * 5, N = 55k + 28 = 11 * 5k + 28.

When dividing by 11, the term 11 * 5k is divisible by 11 and leaves remainder 0.

So, the remainder when N is divided by 11 is the remainder when 28 is divided by 11.

28 divided by 11 gives quotient 2 and remainder 6 (since 11*2=22, 28-22=6).

Therefore, the remainder is 6.

However, the options given are 5, 6, 7, 8. The correct remainder is 6.

Rechecking the calculation:
28 mod 11 = 28 - (11*2) = 28 - 22 = 6.

Hence, the correct answer is 6.

Answer

Answer

Answer