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# t is a positive integer

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Founder
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t is a positive integer [#permalink]  18 Mar 2018, 10:31
Expert's post
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Question Stats:

77% (00:32) correct 22% (00:31) wrong based on 101 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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Manager
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Re: t is a positive integer [#permalink]  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
GRE Instructor
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Re: t is a positive integer [#permalink]  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

Cheers,
Brent
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Re: t is a positive integer [#permalink]  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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