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4 < x < y < 8

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4 < x < y < 8 [#permalink] New post 05 Dec 2019, 12:07
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\(4 < x < y < 7\)


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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Re: 4 < x < y < 8 [#permalink] New post 05 Dec 2019, 12:40
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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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Re: 4 < x < y < 8 [#permalink] New post 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.

Could you please clarify?

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Re: 4 < x < y < 8 [#permalink] New post 06 Oct 2020, 05:22
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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.

Could you please clarify?

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] New post 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] New post 07 Oct 2020, 05:19
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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.

Bad question!!!
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Re: 4 < x < y < 8 [#permalink] New post 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.

Hence answer should be B. Please correct it.
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Re: 4 < x < y < 8 [#permalink] New post 16 Oct 2020, 07:32
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AgTheDoer wrote:
4<x<y<7

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

Hence answer should be B. Please correct it.


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

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Re: 4 < x < y < 8 [#permalink] New post 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] New post 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.
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Re: 4 < x < y < 8 [#permalink] New post 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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