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Re: When the positive integer x is divided by 42, the remainder [#permalink]
When the positive integer x is divided by 42, the remainder is 19

Theory: Dividend = Divisor*Quotient + Remainder

x -> Dividend
42 -> Divisor
a -> Quotient (Assume)
19 -> Remainders
=> x = 42*a + 19 = 42a + 19

What is the remainder when x is divided by 7

x = 42a + 19 = 7*6a + 14 + 5 = 7*61 + 7*2 + 5 = 7*(6a+2) + 5

=> x when divided by 7 gives 5 remainder

So, Answer will be E
Hope it helps!

Watch the following video to learn the Basics of Remainders

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Re: When the positive integer x is divided by 42, the remainder [#permalink]
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