OG11 PS Diagnostic Question 13

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OG11 PS Diagnostic Question 13 [#permalink]

13 Apr 2007, 14:43

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Can someone please show me an alternate way to solve the question above other than how the OG11 solves it. The question is

"If S and T are positive integers such that S/T=64.12, which of the following could be the remainder when S is divided by ?

(A) 2
(B) 4
(C) 8
(D) 20
(E) 45

Also, what level of difficulty is this question?

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14 Apr 2007, 08:25

I think it's incomplete...

divided by what???

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14 Apr 2007, 08:41

when S is divided by ? please fill in the missing part

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14 Apr 2007, 19:17

I think that the question is supposed to end as "when S is divided by T?"

I would solve it this way:

Let's say the remainder = R.
This means that R/T must equal .12 because that is the very definition of a remainder.

Then you substitute in each of the answers for R until you get a value of T that is an integer.

Because the question asks "which of the following COULD be the remainder...", it is pretty much saying that only one of them could possibly be a remainder and that would be the one where the solved-for value of T is an integer.

The only remainder in the choices given that yields T as an integer is 45.

Ans: E

I don't know how the OG11 solved it because I don't have a copy of it. I'm taking my GMAT in July and I just ordered my copy of it. I'm curious as to how they solve it. Do you mind posting their solution?

Thanks

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15 Apr 2007, 09:50

Thanks for your response plaquerabbit, the OG11's answer is similar to your but went a little more in-depth to explain why R/T=0.12. I've attached the solution to this posting.

My question still remains, what level of difficulty is this question?

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17 Apr 2007, 13:59

Answer to your question: I would rank this problem in the medium difficulty bin. The only reason why this problem took me about 2 mins to do is because numbers properties is my weakest area.

The General Equation for remainders/divisor questions is:

Y/X = QX + R where Q is the quotient [an integer] and R is the remainder [an integer ]

According to the question, S/T = 64.12 = 64 + R such that R/T = 0.12

That fact that R/T = 0.12 comes from the difinition of decimals and fractions.

R = 0.12 T. The solution domain includes all values of R and T such that both R and T are positive integers.

All answer choices representing R are in fact positive integers. Now all you have is to check each answer to see if it results in a value of T such ath T is a positive integer.

(A) 2
(B) 4
(C) 8
(D) 20
(E) 45

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18 Apr 2007, 08:02

To go a bit further, if r/t=0.12, t=25r/3 so r must be a multiple of 3

[#permalink] 18 Apr 2007, 08:02

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OG11 PS Diagnostic Question 13

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OG11 PS Diagnostic Question 13

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