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y^2+25

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Carcass
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y^2+25 [#permalink] New post   24 Sep 2018, 10:15
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Question Stats:

48% (00:39) correct 51% (00:17) wrong based on 31 sessions

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Quantity A
Quantity B
\(y^2 +25\)
\(( y-5)(y-5)\)


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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D
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ARIJOSHI
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Re: y^2+25 [#permalink] New post   14 Jan 2019, 07:40
Quantity A = y^2 + 25

Quantity B = ( y - 5) ( y - 5)
= y^2 - 5y - 5y + 25
= y^2 + 25 - 10y

Since the value of y can be of any positive, negative or zero numbers, the answer is D.
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chetan2u
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Re: y^2+25 [#permalink] New post   14 Jan 2019, 19:17
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Carcass wrote:
Quantity A
Quantity B
\(y^2 +25\)
\(( y-5)(y-5)\)


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.



A= \(y^2+25\)
B=\((y-5)^2=y^2+25-10y=A-10y\)

If y is 0, both are equal
If y >0, A is greater
IF Y<0, B is greater.

D
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GreenlightTestPrep
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Re: y^2+25 [#permalink] New post   15 Jan 2019, 06:26
Carcass wrote:
Quantity A
Quantity B
\(y^2 +25\)
\(( y-5)(y-5)\)


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.


We can solve this question using matching operations

Given:
Quantity A: y² + 25
Quantity B: (y-5)(y-5)

Use F.O.I.L. to expand and simplify Quantity B:
Quantity A: y² + 25
Quantity B: y² - 10y + 25

Subtract y² from both quantities to get:
Quantity A: 25
Quantity B: -10y + 25

Subtract 25 from both quantities to get:
Quantity A: 0
Quantity B: -10y

At this point, we can see that,....
If y = 0, then the two quantities are equal
If y = 1, then Quantity A is greater
If y = -1, then Quantity B is greater

Answer: D

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Re: y^2+25 [#permalink]
15 Jan 2019, 06:26
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