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30 Jul 2018, 05:56
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
94% (00:33) correct
6%
(00:45)
wrong
based on 188
sessions
History
Date
Time
Result
Not Attempted Yet
How many shirts does Phil own?
(1) 12 of Phil's shirts are dress shirts.
(2) 85 percent of Phil's shirts are not dress shirts.
(1) 12 of Phil's shirts are dress shirts.
(2) 85 percent of Phil's shirts are not dress shirts.
30 Jul 2018, 06:06
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To find how many shirts does Phil own
Statement 1
12 of Phil's shirts are dress shirts.
We don't know anything about how many non-dress shirts phil owns ?
Statement 1 is not sufficient
Statement 2
85 percent of Phil's shirts are not dress shirts.
=> 15 percent of Phil's shirts are dress shirts.
=> Phil might have 15 dress shirts and 85 non-dress shirts => 100 total shirts
or
=> Phil might have 30 dress shirts and 170 non-dress shirts => 200 total shirts
Still we can't figure out the exact number of shirts phil owns.
Statement 2 is not sufficient
Combining statements 1 and 2
From statement 1, phil owns 12 dress shirts and from statement 2, 15% of phil's shirts are dress shirts
=> \(\frac{15}{100} * shirts\) = 12
=> shirts = \(12 * \frac{100}{15}\) = 80
Statements 1 and 2 together are sufficient
Hence option C
Statement 1
12 of Phil's shirts are dress shirts.
We don't know anything about how many non-dress shirts phil owns ?
Statement 1 is not sufficient
Statement 2
85 percent of Phil's shirts are not dress shirts.
=> 15 percent of Phil's shirts are dress shirts.
=> Phil might have 15 dress shirts and 85 non-dress shirts => 100 total shirts
or
=> Phil might have 30 dress shirts and 170 non-dress shirts => 200 total shirts
Still we can't figure out the exact number of shirts phil owns.
Statement 2 is not sufficient
Combining statements 1 and 2
From statement 1, phil owns 12 dress shirts and from statement 2, 15% of phil's shirts are dress shirts
=> \(\frac{15}{100} * shirts\) = 12
=> shirts = \(12 * \frac{100}{15}\) = 80
Statements 1 and 2 together are sufficient
Hence option C
30 Jul 2018, 06:27
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Let total number of shirts be "x". Need to find unique value of x.
Statement 1 is not sufficient as it gives only number of shirts that are "dress shirts" .Nothing is mentioned about non-dress shirts.
Statement 2 gives the percentage of shirt that are non-dress shirt. This is also insufficient .
Combining both 1 and 2
Let total number of shirts be "x" , out of which 85 percent are non dress shirt. So, 15 percent will be dress shirt.
.15*x=12
x=80
Statement 1 and 2 together are suffcient.
(C)
Statement 1 is not sufficient as it gives only number of shirts that are "dress shirts" .Nothing is mentioned about non-dress shirts.
Statement 2 gives the percentage of shirt that are non-dress shirt. This is also insufficient .
Combining both 1 and 2
Let total number of shirts be "x" , out of which 85 percent are non dress shirt. So, 15 percent will be dress shirt.
.15*x=12
x=80
Statement 1 and 2 together are suffcient.
(C)
