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(a+1)(b+1)

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(a+1)(b+1) [#permalink] New post 27 Sep 2017, 13:40
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Question Stats:

70% (00:32) correct 29% (00:23) wrong based on 24 sessions


Quantity A
Quantity B
(a+1)(b+1)
ab+1


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.
[Reveal] Spoiler: OA

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Re: (a+1)(b+1) [#permalink] New post 27 Sep 2017, 22:49
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Carcass wrote:
Quantity A
Quantity B
(a+1)(b+1)
ab+1


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.



SInce no information is given for a and b, we cannot determine which QTY is greater or less.

Therefore option D
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Re: (a+1)(b+1) [#permalink] New post 28 Sep 2017, 13:27
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Expert's post
Carcass wrote:
Quantity A
Quantity B
(a+1)(b+1)
ab+1



Let's use the technique of matching operations

Given:
Quantity A: (a + 1)(b + 1)
Quantity B: ab + 1

Use the FOIL method to expand Quantity A:
Quantity A: ab + a + b + 1
Quantity B: ab + 1

Subtract ab from both quantities:
Quantity A: a + b + 1
Quantity B: 1

Subtract 1 from both quantities:
Quantity A: a + b
Quantity B: 0

Since there is no information about a and b, the variables can have ANY value
For instance...

Case i: a = 1 and b = 1
We get:
Quantity A: 1 + 1
Quantity B: 0
In this case, Quantity A is greater

Case ii: a = -1 and b = -1
We get:
Quantity A: (-1) + (-1)
Quantity B: 0
In this case, Quantity B is greater

Answer:
[Reveal] Spoiler:
D


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Re: (a+1)(b+1) [#permalink] New post 02 Mar 2018, 12:17
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It's pretty simple:

First let's simplify the value of Quantity A: (a + 1)(b + 1) = ab + a + b + 1

As we don't know whether (a + b) is positive, negative or 0.

So Choice D is correct.
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Re: (a+1)(b+1) [#permalink] New post 02 Mar 2018, 19:14
A: (a+1)(b+1) = ab + a + b + 1
B : ab + 1

ab + a + b + 1 ? ab + 1
a + b ? 0
if a and b are negative or totally when a+b <0 A is less.
if a = -b, A and B are equal.
if a+b > 0, B is less.
So we can't recognize which one is less or more and D is correct.
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Re: (a+1)(b+1) [#permalink] New post 04 Mar 2018, 01:05
I think if you enter the exam and mark all QC "D", there is a huge probability that you gotta have 50% more percent right :D
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Re: (a+1)(b+1)   [#permalink] 04 Mar 2018, 01:05
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