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23 May 2016, 03:35
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
81% (01:50) correct
19%
(01:37)
wrong
based on 2596
sessions
History
Date
Time
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Not Attempted Yet
When the wind speed is 9 miles per hour, the wind-chill factor w is given by \(w = -17.366 + 1.19t\), where t is the temperature in degrees Fahrenheit. If at noon yesterday the wind speed was 9 miles per hour, was the wind-chill factor greater than 0 ?
(1) The temperature at noon yesterday was greater than 10 degrees Fahrenheit.
(2) The temperature at noon yesterday was less than 20 degrees Fahrenheit
ID: 700321
(1) The temperature at noon yesterday was greater than 10 degrees Fahrenheit.
(2) The temperature at noon yesterday was less than 20 degrees Fahrenheit
ID: 700321
20 Dec 2017, 08:52
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nalinnair
When the wind speed is 9 miles per hour, the wind-chill factor w is given by w = -17.366 + 1.19t, where t is the temperature in degrees Fahrenheit. If at noon yesterday the wind speed was 9 miles per hour, was the wind-chill factor greater than 0 ?
(1) The temperature at noon yesterday was greater than 10 degrees Fahrenheit.
(2) The temperature at noon yesterday was less than 20 degrees Fahrenheit
(1) The temperature at noon yesterday was greater than 10 degrees Fahrenheit.
(2) The temperature at noon yesterday was less than 20 degrees Fahrenheit
Given
=> w=-17.366+1.19t Is w>0
Now for 'w>0'
=> (-17.366+1.19t) should be >0
=> (-17.366+1.19t)>0
=> 1.19t>17.366
=> t>17.366/1.19 or
=> t>173.66/11.9 or
=> t>173.66/12
=> t>14
So if t>14 then w>0
Statement 1 t>10 therefore 2 scenario
a)if 10<t<14 then w<0
b)if t>14 then w>0
Since NO unique sol. Therefore NOT sufficient
Statement 2 t<20 therefore 2 scenario
a) if 14<t<20 then w>0
b) if t<14 then w<0
Since NO unique sol. Therefore NOT sufficient
BOTH 1 & 2
from Stat 1 t>10
from stat 2 t<20
Therefore 10<t<20
AGAIN 2 scenario.Therefore NOT sufficient
Therefore "E"
Thanks
16 Jun 2021, 07:51
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nalinnair
When the wind speed is 9 miles per hour, the wind-chill factor w is given by
\(w = -17.366 + 1.19t\),
where t is the temperature in degrees Fahrenheit. If at noon yesterday the wind speed was 9 miles per hour, was the wind-chill factor greater than 0 ?
(1) The temperature at noon yesterday was greater than 10 degrees Fahrenheit.
(2) The temperature at noon yesterday was less than 20 degrees Fahrenheit
Solution:\(w = -17.366 + 1.19t\),
where t is the temperature in degrees Fahrenheit. If at noon yesterday the wind speed was 9 miles per hour, was the wind-chill factor greater than 0 ?
(1) The temperature at noon yesterday was greater than 10 degrees Fahrenheit.
(2) The temperature at noon yesterday was less than 20 degrees Fahrenheit
Question Stem Analysis:
We need to determine whether w, the wind-chill factor, is greater than 0. If w = 0, we have:
0 = -17.366 + 1.19t
17.366 = 1.19t
t = 17.366/1.19 ≈ 14.6
That is, if t > 14.6, then w > 0. So we really need to determine whether t > 14.6.
Statement One Alone:
We are given that t > 10. However, we don’t know if t is greater than 14.6. If t = 15, then w > 0. However, if t = 14, then w is not greater than 0. Statement one alone is sufficient.
Statement Two Alone:
We are given that t < 20. However, we don’t know if t is greater than 14.6. If t = 15, then w > 0. However, if t = 14, then w is not greater than 0. Statement one alone is sufficient.
Statements One and Two Together:
With the two statements, we have 10 < t < 20. However, we still don’t know if t is greater than 14.6. If t = 15, then w > 0. However, if t = 14, then w is not greater than 0. Both statements together are not sufficient.
Answer: E
