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Re: When a positive integer m is divided by 17, the remainder is 3. Which [#permalink]
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When a positive integer m is divided by 17, the remainder is 3

Theory: Dividend = Divisor*Quotient + Remainder

m -> Dividend
17 -> Divisor
a -> Quotient (Assume)
3 -> Remainders
=> m = 17*a + 3 = 17a + 3

Which integer could be m

m = 17a + 3
=> m - 3 = 17a
=> m - 3 should be a multiple of 17.

We will take each option choice and subtract 3 and check if it is a multiple of 17 or not

(A) 73
73 - 3 = 70 and we know that 70 is NOT a multiple of 17 => NOT POSSIBLE

(B) 240
240 - 3 = 237 and we know that 237 is NOT a multiple of 17 => NOT POSSIBLE

(C) 258
258 - 3 = 255 and we know that 255 IS a multiple of 17 => POSSIBLE

(D) 274
274 - 3 = 271 and we know that 271 is NOT a multiple of 17 => NOT POSSIBLE

(C) 292
292 - 3 = 289 and we know that 289 IS a multiple of 17 => POSSIBLE

So, Answer will be C, E
Hope it helps!

Watch the following video to learn the Basics of Remainders

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Re: When a positive integer m is divided by 17, the remainder is 3. Which [#permalink]
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Re: When a positive integer m is divided by 17, the remainder is 3. Which [#permalink]
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