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# 4 < x < y < 8

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Founder
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4 < x < y < 8 [#permalink]  05 Dec 2019, 12:07
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.

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GRE Instructor
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Re: 4 < x < y < 8 [#permalink]  05 Dec 2019, 12:40
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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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Intern
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Re: 4 < x < y < 8 [#permalink]  05 Oct 2020, 21:32
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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!
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Re: 4 < x < y < 8 [#permalink]  06 Oct 2020, 05:22
1
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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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Re: 4 < x < y < 8 [#permalink]  07 Oct 2020, 00:58
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?
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Re: 4 < x < y < 8 [#permalink]  07 Oct 2020, 05:19
2
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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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Re: 4 < x < y < 8 [#permalink]  10 Oct 2020, 21:51
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4<x<y<7

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

Founder
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Re: 4 < x < y < 8 [#permalink]  16 Oct 2020, 07:32
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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Re: 4 < x < y < 8 [#permalink]  17 Oct 2020, 10:28
Hi , just quick confirmation. This question should be 4 < x < y < 8 , not 4 < x< y< 7. Is my understanding correct ?
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Re: 4 < x < y < 8 [#permalink]  21 Oct 2020, 10:43
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
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Re: 4 < x < y < 8 [#permalink]  21 Oct 2020, 11:24
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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Re: 4 < x < y < 8   [#permalink] 21 Oct 2020, 11:24
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