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22 Jan 2017, 02:10
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B
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Difficulty:
25%
(medium)
Question Stats:
77% (01:35) correct
23%
(01:37)
wrong
based on 252
sessions
History
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Not Attempted Yet
The temperature of a place at noon on a certain day is 25% higher than the temperature of the same place at midnight on the same day. What the temperature of the place at midnight?
(1) The temperature of the place at midnight is 20% lower than the temperature of the same place at noon
(2) The temperature of the place at noon is 10 units greater than the temperature of the place at midnight
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(1) The temperature of the place at midnight is 20% lower than the temperature of the same place at noon
(2) The temperature of the place at noon is 10 units greater than the temperature of the place at midnight
Register for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the real-time guidance of our Experts
22 Jan 2017, 13:08
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EgmatQuantExpert
(1) let temp. midnight be M thus per stem noon temp = (1+25/100)M = 5/4M
so 20% less of 5/4M = M
as we dont know value M , M could be anything
Not suff
(2) per stem noon temp = (1+25/100)M = 5/4M
So, 5/4M = M+10
thus M = 40
suff
Ans B
29 Jan 2017, 13:27
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Hey,
PFB the official solution.
Steps 1 & 2: Understand Question and Draw Inferences
Let temperature at midnight be \(M\).
And, temperature at noon be \(N\).
Given:
\(N = (1 + \frac{25}{100})M = \frac{125}{100} * M = \frac{5}{4} * M\) . . . (I)
We need to find the value of\(M\).
We already have \(1\) equation between \(N\) and \(M\). If we have one more equation between \(N\) and \(M\), we can find a unique value of \(M\).
Step 3: Analyze Statement 1 independently
Statement 1 says that
\(M = (1 – \frac{20}{100})N = \frac{80}{100} * N = \frac{4}{5} * N\)
This equation restates what we already know from Equation (I). So, not sufficient.
Step 4: Analyze Statement 2 independently
Statement 2 says that
\(N = M + 10\) . . . (II)
We now have one more equation between \(N\)and \(M\). So, Equations (I) and (II) are sufficient to find a unique value of \(M\).
Answer: B
Thanks,
Saquib
Quant Expert
e-GMAT
Register for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the real-time guidance of our Experts
PFB the official solution.
Steps 1 & 2: Understand Question and Draw Inferences
Let temperature at midnight be \(M\).
And, temperature at noon be \(N\).
Given:
\(N = (1 + \frac{25}{100})M = \frac{125}{100} * M = \frac{5}{4} * M\) . . . (I)
We need to find the value of\(M\).
We already have \(1\) equation between \(N\) and \(M\). If we have one more equation between \(N\) and \(M\), we can find a unique value of \(M\).
Step 3: Analyze Statement 1 independently
Statement 1 says that
\(M = (1 – \frac{20}{100})N = \frac{80}{100} * N = \frac{4}{5} * N\)
This equation restates what we already know from Equation (I). So, not sufficient.
Step 4: Analyze Statement 2 independently
Statement 2 says that
\(N = M + 10\) . . . (II)
We now have one more equation between \(N\)and \(M\). So, Equations (I) and (II) are sufficient to find a unique value of \(M\).
Answer: B
Thanks,
Saquib
Quant Expert
e-GMAT
Register for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the real-time guidance of our Experts
