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0<z<y<x
[#permalink]
10 Jan 2022, 01:52
10 Jan 2022, 01:52
1
00:00
Question Stats:
87% (00:52) correct
12% (01:03) wrong based on 8 sessions
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0<z<y<x
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Posted from my mobile device
Quantity A |
Quantity B |
(x+10)*(y)*(z) |
(x)*(y)*(z+10) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Posted from my mobile device
Re: 0<z<y<x
[#permalink]
10 Jan 2022, 02:34
10 Jan 2022, 02:34
Expert Reply
Testing numbers
0<1<2<3 and B is greater
26>16
testing fractions the result is the same
B is the answer
0<1<2<3 and B is greater
26>16
testing fractions the result is the same
B is the answer
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0<z<y<x
[#permalink]
10 Jan 2022, 07:05
10 Jan 2022, 07:05
1
Sumukh19 wrote:
0<z<y<x
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Posted from my mobile device
Quantity A |
Quantity B |
(x+10)*(y)*(z) |
(x)*(y)*(z+10) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Posted from my mobile device
We can solve this question using matching operations (my favorite Quantitative Comparison strategy)
Given:
Quantity A: (x+10)(y)(z)
Quantity B: (x)(y)(z+10)
Expand both quantities:
Quantity A: xyz + 10yz
Quantity B: xyz + 10xy
Subtract xyz from both quantities:
Quantity A: 10yz
Quantity B: 10xy
Since we're told y is POSITIVE, we know that 10y must be POSITIVE, which means we can safely divide both quantities by 10y to get:
Quantity A: z
Quantity B: x
Since we're told z < x, the correct answer is B
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