Bunuel 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

Test valuesList a few values that \(x\) could be

\(42+19=61\)

That is, \(((42*1) + 19)=61\)

After the first possibility, just add 42

\(61+42=103\)

That is, \(((42*2)+19)=103\)

\(103+42=145\)

That is, \(((42*3)+19)=145\)

\(x=61, 103, 145\) . . .

Remainder when \(x\) is divided by 7?

First \(x\) value: \(\frac{61}{7}=8\), Remainder 5

\(x\) divided by 7 = remainder of

5 should be the answer. Check

Next value of \(x\): \(\frac{103}{7}=14\), Remainder 5

Last value \(x\): \(\frac{145}{7}=20\), Remainder 5

When \(x\) is divided by 7, the remainder is 5

Answer E

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In the depths of winter, I finally learned

that within me there lay an invincible summer.

-- Albert Camus, "Return to Tipasa"