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If m, p, s and v are positive, and m/p < s/v, which of the following

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Re: If m, p, s and v are positive, and m/p < s/v, which of the following [#permalink] New post   21 Jun 2015, 11:13
Hi guys,

I got this problem on an exam pack 1 CAT and failed to solve it correctly due to a technical error (DRIVING ME CRAZY). Otherwise I picked numbers and was 99% on the right path. One question I have for you is:

Do you think testing one pari of numbers is enough? I picked 2 pairs:
- m=1, p=3, s=3 and v=4
- m=3, p=1, s=4 and v=1

These 2 options are more conservative as I wanted to test these equations for fractions and integers. Do you think this was overkill (question stem says we're talking about positive numbers and not integers)? As far as I can see, all of you tested just one pair of numbers, which of course almost certainly decreases the time needed to solve the problem.

Thanks!
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Re: If m, p, s and v are positive, and m/p < s/v, which of the following [#permalink] New post   29 Jan 2019, 05:21
VeritasKarishma wrote:
Plugging in numbers is not the best strategy for 'must be true' questions. You know that statement 1 holds for these particular values of m , p, s and v (1, 2, 3 and 4) but how do you know that it will be true for every set of valid values of m, p, s and v? You cannot try every set.

Thanks VeritasKarishma. Wouldn't this logic also hold true for "could be true" questions.

The given statement may not be true for the particular values we consider, but how do we know that the given statement will not be true for any values?
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Re: If m, p, s and v are positive, and m/p < s/v, which of the following [#permalink] New post   30 Jan 2019, 02:30
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Manukaran wrote:
VeritasKarishma wrote:
Plugging in numbers is not the best strategy for 'must be true' questions. You know that statement 1 holds for these particular values of m , p, s and v (1, 2, 3 and 4) but how do you know that it will be true for every set of valid values of m, p, s and v? You cannot try every set.

Thanks VeritasKarishma. Wouldn't this logic also hold true for "could be true" questions.

The given statement may not be true for the particular values we consider, but how do we know that the given statement will not be true for any values?


Absolutely! The logic will hold for could be true.

Must be true for all - Usually, the values you will try would be true. You might be hard pressed to find a value for which it doesn't hold. Here lies the challenge.

Could be true for some value of x - Usually, the values you will try would not be true. You will need to find a value for which it will hold. Doing that is often a bit easier by putting in 0, 1 etc. But yes, there could be a challenge here too.
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Re: If m, p, s and v are positive, and m/p < s/v, which of the following [#permalink] New post   27 Jun 2021, 08:23
VeritasKarishma wrote:
III. \(\frac{s}{v} - \frac{m}{p}\)
Think of a case such as this: .............0..............................m/p .......s/v
\(\frac{s}{v} - \frac{m}{p}\) will be much smaller than both m/p and s/v and will lie somewhere here:
.............0.......Here...........................m/p .......s/v
So it needn't be between them.

Hi VeritasKarishma, can you please explain this. If s/v = 3 and m/p = 1, then s/v - m/p = 2, which is between m/p and s/v.
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Re: If m, p, s and v are positive, and m/p < s/v, which of the following [#permalink] New post   23 Mar 2024, 01:02
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Re: If m, p, s and v are positive, and m/p < s/v, which of the following [#permalink]
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