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t is a positive integer

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t is a positive integer [#permalink] New post 18 Mar 2018, 10:31
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Question Stats:

84% (00:38) correct 15% (00:55) wrong based on 19 sessions
\(t\) is a positive integer.

\(\frac{4}{7} = \frac{t}{s}\)

Quantity A
Quantity B
\(s\)
\(7\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: t is a positive integer [#permalink] New post 18 Mar 2018, 23:52
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Given t is a positive integer and 4/7 = t/s --> s = 7t/4.

Substitute away s in A: 7t/4 vs B: 7

Multiply by 4/7 to both sides: A: t vs B: 4

t can be either less than 4 or greater than 4.

So Ans: D
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Re: t is a positive integer [#permalink] New post 07 May 2018, 07:13
Expert's post
Carcass wrote:
t is a positive integer.

\(\frac{4}{7} = \frac{t}{s}\)

Quantity A
Quantity B
\(s\)
\(7\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


GIVEN: 4/7 = t/s

There are infinitely many values of t and s that satisfy the condition that 4/7 = t/s
Consider these two sets of values:

t = 4 and s = 7
In this case, we get:
Quantity A: 7
Quantity B: 7
Here, the two quantities are EQUAL

t = 8 and s = 14
Notice that t/s = 8/14 = 4/7
In this case, we get:
Quantity A: 14
Quantity B: 7
Here, Quantity A is GREATER

Answer: D

Cheers,
Brent
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Re: t is a positive integer [#permalink] New post 11 May 2018, 18:23
4/7 can be written as 4/7 or 8/14 or 12/21 so on..

In first case s=7 and in fllowing casses s is greater than 7. Hence the answer
Re: t is a positive integer   [#permalink] 11 May 2018, 18:23
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