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16 Jul 2015, 01:19
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D
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Difficulty:
15%
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Question Stats:
78% (00:58) correct
22%
(01:28)
wrong
based on 199
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A school has 60 students. Each student studies either Cantonese or French, but not both. How many students study French?
(1) The number of students who study French is 4 times the number of the students who study Cantonese.
(2) The number of students who study Cantonese is 36 fewer than the number who study French.
Kudos for a correct solution.
(1) The number of students who study French is 4 times the number of the students who study Cantonese.
(2) The number of students who study Cantonese is 36 fewer than the number who study French.
Kudos for a correct solution.
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16 Jul 2015, 03:25
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Bunuel
A school has 60 students. Each student studies either Cantonese or French, but not both. How many students study French?
(1) The number of students who study French is 4 times the number of the students who study Cantonese.
(2) The number of students who study Cantonese is 36 fewer than the number who study French.
Kudos for a correct solution.
(1) The number of students who study French is 4 times the number of the students who study Cantonese.
(2) The number of students who study Cantonese is 36 fewer than the number who study French.
Kudos for a correct solution.
NF + NC = 0 (as each student learns either cantonese or french)
Text in black: given values
Text in red: calculated values
From statement 1, we can see x/4 +x= 60 . Thus this statement is sufficient
From statement 2, we see that 2x-36=60. Thus this statement is sufficient as well. Thus both statements are sufficient and hence D is the correct answer.
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16 Jul 2015, 05:45
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Bunuel
A school has 60 students. Each student studies either Cantonese or French, but not both. How many students study French?
(1) The number of students who study French is 4 times the number of the students who study Cantonese.
(2) The number of students who study Cantonese is 36 fewer than the number who study French.
Kudos for a correct solution.
(1) The number of students who study French is 4 times the number of the students who study Cantonese.
(2) The number of students who study Cantonese is 36 fewer than the number who study French.
Kudos for a correct solution.
Solution -
From the given information, C + F = 60.
Stmt1 - The number of students who study French is 4 times the number of the students who study Cantonese. --> F = 4C.
Substitute F = 4C in C + F = 60 --> C + (4C) = 60 --> 5C = 60 --> C = 12 and F = 48. Sufficient.
Stmt2 - The number of students who study Cantonese is 36 fewer than the number who study French. --> C = F – 36.
Again, substitute C in the original equation C + F = 60 --> (F – 36) + F = 60 --> 2F – 36 = 60 --> F = 48. Sufficient.
ANS D.
