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x and y are integers greater than 5. x is y percent of x^2

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x and y are integers greater than 5. x is y percent of x^2 [#permalink] New post   13 Mar 2019, 12:16
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x and y are integers greater than 5.

x is y percent of \(x^2\)

Quantity A
Quantity B
x
10


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.
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C
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GreenlightTestPrep
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Re: x and y are integers greater than 5. x is y percent of x^2 [#permalink] New post   14 Mar 2019, 08:47
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Carcass wrote:
x and y are integers greater than 5.

x is y percent of \(x^2\)

Quantity A
Quantity B
x
10


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: x is y percent of x²
We can write: x = y/100 of x²
Or: x = (y/100)(x²)
Multiply both sides by 100 to get 100x = yx²
Divide both sides by x to get 100 = yx

IMPORTANT: We're told that x and y are INTEGERS greater than 5.
So, the ONLY way to get a product of 100 such that x and y are positive integers is for x and y to BOTH equal 10

We get:
QUANTITY A: 10
QUANTITY B: 10

Answer: C

Cheers,
Brent
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grandPrep
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Re: x and y are integers greater than 5. x is y percent of x^2 [#permalink] New post   21 Jun 2020, 03:21
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GreenlightTestPrep wrote:
Carcass wrote:
x and y are integers greater than 5.

x is y percent of \(x^2\)

Quantity A
Quantity B
x
10


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: x is y percent of x²
We can write: x = y/100 of x²
Or: x = (y/100)(x²)
Multiply both sides by 100 to get 100x = yx²
Divide both sides by x to get 100 = yx

IMPORTANT: We're told that x and y are INTEGERS greater than 5.
So, the ONLY way to get a product of 100 such that x and y are positive integers is for x and y to BOTH equal 10

We get:
QUANTITY A: 10
QUANTITY B: 10

Answer: C

Cheers,
Brent


Kindly explain why we can't do the following.

From

100 = xy

we can also write

100/y = x

Now if we plug the above value in Column A then we get

Col A----------------Col B
100/y----------------10

100/10----------------y

10----------------y

Since y>5 so answer should be D.

What's wrong here.
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Re: x and y are integers greater than 5. x is y percent of x^2 [#permalink] New post   21 Jun 2020, 04:48
grandPrep wrote:

Kindly explain why we can't do the following.

From

100 = xy

we can also write

100/y = x

Now if we plug the above value in Column A then we get

Col A----------------Col B
100/y----------------10

100/10----------------y

10----------------y

Since y>5 so answer should be D.

What's wrong here.


The problem with your solution is that it doesn't take into account the fact that x and y are integers greater than 5

So, once we know that 100 = xy (or 100/y = x), we can be certain that x and y both equal 10.
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x and y are integers greater than 5. x is y percent of x^2 [#permalink] New post   16 Oct 2021, 08:51
Quick question- should the answer here not be D?

If we sub in x=6, x^2 is 36. So, when considering that x is y% of x^2, y%= (6/36)*100=16.66%. This meets the criteria as x and y are over 5.
Here x is less than 10.

Let's consider the edge case of setting y to 5. Here, 0.05=x/x^2, solve for x=20
Here x is greater than 10.
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Re: x and y are integers greater than 5. x is y percent of x^2 [#permalink] New post   16 Oct 2021, 09:32
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nsrdr wrote:
Quick question- should the answer here not be D?

If we sub in x=6, x^2 is 36. So, when considering that x is y% of x^2, y%= (6/36)*100=16.66%. This meets the criteria as x and y are over 5.
Here x is less than 10.

Let's consider the edge case of setting y to 5. Here, 0.05=x/x^2, solve for x=20
Here x is greater than 10.


See above the calculations provided by Brent in his solution

Your calculations are wrong
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Re: x and y are integers greater than 5. x is y percent of x^2 [#permalink] New post   06 Apr 2024, 18:22
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Re: x and y are integers greater than 5. x is y percent of x^2 [#permalink]
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