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a and b are integers greater than zero.
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18 Sep 2018, 10:35
18 Sep 2018, 10:35
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a and b are integers greater than zero.
Quantity A |
Quantity B |
\(\frac{a}{b}\) |
\(a^2\) |
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.
Re: a and b are integers greater than zero.
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18 Sep 2018, 21:16
18 Sep 2018, 21:16
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Take a=b=1 qty A and qty B will be equal.
Take a=2, b=1 qty A < qty B
Take a=2, b=1 qty A < qty B
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a and b are integers greater than zero.
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21 Aug 2020, 06:34
21 Aug 2020, 06:34
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Carcass wrote:
a and b are integers greater than zero.
Quantity A |
Quantity B |
\(\frac{a}{b}\) |
\(a^2\) |
Another approach is to use matching operations (my favorite Quantitative Comparison strategy)
Given:
Quantity A: a/b
Quantity B: a²
Since we're told b is POSITIVE, we can safely multiply both quantities by b to get:
Quantity A: a
Quantity B: a²b
Since we're told a is POSITIVE, we can safely divide both quantities by a to get:
Quantity A: 1
Quantity B: ab
At this point we can see that...
- if a = 1 and b = 1, but then the two quantities are equal
- if a = 2 and b = 2, but then Quantity B is greater
Answer: D
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