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0 < a < b < c < d
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24 Sep 2018, 10:14
24 Sep 2018, 10:14
Expert Reply
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Question Stats:
69% (00:38) correct
30% (00:31) wrong based on 53 sessions
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\(0 < a < b < c < d\)
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.
Quantity A |
Quantity B |
\(\frac{c}{d}\) |
\(\frac{b}{a}\) |
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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Re: 0 < a < b < c < d
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25 Sep 2018, 08:42
25 Sep 2018, 08:42
2
Carcass wrote:
\(0 < a < b < c < d\)
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.
Quantity A |
Quantity B |
\(\frac{c}{d}\) |
\(\frac{b}{a}\) |
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: c/d
Quantity B: b/a
Since d is POSITIVE, we can safely multiply both quantities by d to get:
Quantity A: c
Quantity B: bd/a
Since a is POSITIVE, we can safely multiply both quantities by a to get:
Quantity A: ac
Quantity B: bd
Since b > a, we can say: b = some number BIGGER than a
Since d > c, we can say: d = some number BIGGER than c
So, we can rewrite Quantity B as follows:
Quantity A: ac
Quantity B: (some number BIGGER than a)(some number BIGGER than c)
If we compare the products in parts, we can see that Quantity B must be greater
Answer: B
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