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Founder  Joined: 18 Apr 2015
Posts: 7021
Followers: 117

Kudos [?]: 1371 , given: 6384

t is a positive integer [#permalink]
Expert's post 00:00

Question Stats: 75% (00:39) correct 24% (00:40) wrong based on 33 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

_________________ Manager Joined: 15 Feb 2018
Posts: 53
Followers: 1

Kudos [?]: 18  , given: 33

Re: t is a positive integer [#permalink]
1
KUDOS
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 Joined: 10 Apr 2015
Posts: 2027
Followers: 62

Kudos [?]: 1841 , given: 9

Re: t is a positive integer [#permalink]
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
_________________

Brent Hanneson – Creator of greenlighttestprep.com Manager Joined: 26 Jan 2018
Posts: 186
Followers: 0

Kudos [?]: 115 , given: 3

Re: t is a positive integer [#permalink]
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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