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Author Message Founder  Joined: 18 Apr 2015
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GRE 1: Q160 V160 Followers: 305

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4 < x < y < 8 [#permalink]
3
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Expert's post
$$4 < x < y < 7$$

The ratio of $$x$$ to $$y$$ is $$4$$ to $$7$$

 Quantity A Quantity B $$y-x$$ $$3$$

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

Kudos for the right answer and explanation
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Kudos [?]: 4667  , given: 70

Re: 4 < x < y < 8 [#permalink]
4
KUDOS
Expert's post
Carcass wrote:
$$4 < x < y < 7$$

The ratio of $$x$$ to $$y$$ is $$4$$ to $$7$$

 Quantity A Quantity B $$y-x$$ $$3$$

Great question!

GIVEN: The ratio of $$x$$ to $$y$$ is $$4$$ to $$7$$

In other words: $$\frac{x}{y} = \frac{4}{7}$$

Cross multiply to get: $$7x=4y$$

Divide both sides by 4 to get: $$\frac{7x}{4} = y$$

At this point we can replace $$y$$ with $$\frac{7x}{4}$$ in the original comparison to get:

Quantity A: $$\frac{7x}{4} - x$$

Quantity B: $$3$$

Rewrite Quantity A as follows:
Quantity A: $$\frac{7x}{4} - \frac{4x}{4}$$

Quantity B: $$3$$

Simplify Quantity A:
Quantity A: $$\frac{3x}{4}$$

Quantity B: $$3$$

From here we can multiply both quantities by 4 to get:
Quantity A: $$3x$$

Quantity B: $$12$$

Divide both quantities by 3 to get:
Quantity A: $$x$$

Quantity B: $$4$$

Since it is given that $$4<x$$, the correct answer is A

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Brent Hanneson – Creator of greenlighttestprep.com
If you enjoy my solutions, you'll like my GRE prep course.  Intern Joined: 01 Dec 2018
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Kudos [?]: 11  , given: 10

Re: 4 < x < y < 8 [#permalink]
2
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Hello @Carcass @GreenlightTestPrep !!!

But what happen if we do it with y?

We will have:

3y ---------- 21

And since y is less than 8, it could be larger (7.9)(3) or smaller.

Regards! GRE Instructor Joined: 10 Apr 2015
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Kudos [?]: 4667  , given: 70

Re: 4 < x < y < 8 [#permalink]
1
KUDOS
Expert's post
FCOCGALVAN wrote:
Hello @Carcass @GreenlightTestPrep !!!

But what happen if we do it with y?

We will have:

3y ---------- 21

And since y is less than 8, it could be larger (7.9)(3) or smaller.

Regards!

You're absolutely right! In order for the incorrect answer to be B, the original information SHOULD read 4 < x < y < 7
I have altered the given information to reflect this.

Kudos for you!!!!
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Brent Hanneson – Creator of greenlighttestprep.com
If you enjoy my solutions, you'll like my GRE prep course. Intern Joined: 15 Jul 2020
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Kudos [?]: 0 , given: 1

Re: 4 < x < y < 8 [#permalink]
I'm so confused. I keep getting B

x=4/7*y

So, y-x=y - 4/7*y = 3/7*y

A 3/7*y B 3

or

A y B 7

So shouldn't the answer be B since y<7? GRE Instructor Joined: 10 Apr 2015
Posts: 3873
Followers: 159

Kudos [?]: 4667  , given: 70

Re: 4 < x < y < 8 [#permalink]
2
KUDOS
Expert's post
nguyenth wrote:
I'm so confused. I keep getting B

x=4/7*y

So, y-x=y - 4/7*y = 3/7*y

A 3/7*y B 3

or

A y B 7

So shouldn't the answer be B since y<7?

You're absolutely right!!

The correct answer SHOULD be D.

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Brent Hanneson – Creator of greenlighttestprep.com
If you enjoy my solutions, you'll like my GRE prep course.  Intern Joined: 26 Aug 2020
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Kudos [?]: 1  , given: 5

Re: 4 < x < y < 8 [#permalink]
1
KUDOS
4<x<y<7

imagine, x is 4.00001 and y is 6.999999. Still it will be less than 3.

Founder  Joined: 18 Apr 2015
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GRE 1: Q160 V160 Followers: 305

Kudos [?]: 3546 , given: 12654

Re: 4 < x < y < 8 [#permalink]
Expert's post
AgTheDoer wrote:
4<x<y<7

imagine, x is 4.00001 and y is 6.999999. Still it will be less than 3.

Please Sir, see the explanation above provided by the tutor https://greprepclub.com/forum/4-x-y-15985.html#p42793

Regards
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Intern Joined: 25 Aug 2020
Posts: 5
Followers: 0

Kudos [?]: 1 , given: 1

Re: 4 < x < y < 8 [#permalink]
Hi , just quick confirmation. This question should be 4 < x < y < 8 , not 4 < x< y< 7. Is my understanding correct ?
Intern Joined: 21 Oct 2020
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Kudos [?]: 20 , given: 1

Re: 4 < x < y < 8 [#permalink]
This question is wrong.

If we have x>4 and x/y=4/7. We have y=7x/4.
Since x>4, we have y=7x/4>7, which contradicts the information provided.
GRE Instructor Joined: 10 Apr 2015
Posts: 3873
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Kudos [?]: 4667 , given: 70

Re: 4 < x < y < 8 [#permalink]
Expert's post
rcpacheco wrote:
This question is wrong.

If we have x>4 and x/y=4/7. We have y=7x/4.
Since x>4, we have y=7x/4>7, which contradicts the information provided.

Agreed. This is discussed above.
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Brent Hanneson – Creator of greenlighttestprep.com
If you enjoy my solutions, you'll like my GRE prep course.  Re: 4 < x < y < 8   [#permalink] 21 Oct 2020, 11:24
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