Carcass wrote:

When the positive integer x is divided by 42, the remainder is 19. What is the remainder when x is divided by 7?

A. 0

B. 2

C. 3

D. 4

E. 5

Here,

Let x= (42 * Q) + 19 (since dividend/divisor = quotient +reminder ; and Q= any positive number)

x = (42 * 2) +19 =103

since 103/42 gives a quotient 2 and reminder 19.

Now

103/7 gives a quotient 14 and reminder 5

This applies to any positive value of Q, hence reminder when \(\frac{x}{7}\) will always be 5

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