Question
To pass to the next level (Batch A) in a
school's sports team, students in the intermediate batch (Batch B) at Premier
High School have to pass both a written and a practical test. Everyone has to
take the tests, and no one failed both tests. If 30% of the students of Batch B
who passed the written test did not pass the practical, how many Batch B
students at Premier High School go to Batch A?(1) There are 188 Batch B students at Premier
High School.
(2) 20% of the Batch B students who passed
the practical test failed the written test.
school's sports team, students in the intermediate batch (Batch B) at Premier
High School have to pass both a written and a practical test. Everyone has to
take the tests, and no one failed both tests. If 30% of the students of Batch B
who passed the written test did not pass the practical, how many Batch B
students at Premier High School go to Batch A?(1) There are 188 Batch B students at Premier
High School.
(2) 20% of the Batch B students who passed
the practical test failed the written test.
Answer: Option C
:
C
For an overlapping set question, we can use a
double-set matrix to organize theinformation and solve. The two sets in this
question are the practical test (pass/fail)and the written test (pass/fail).
(1)
INSUFFICIENT: If we add the total number of students to the information from
thequestion, we do not have enough to solve for
.7x.
(2) INSUFFICIENT: If we add the fact that 20%
of the Batch
B who passed thepractical
test failed the written test to the original
matrix from the question, we cancome up with the relationship .7x = .8y. However, that is not enough to solve for .7x.
(1)
AND (2) SUFFICIENT: If we combine the two statements we get a matrix that can
beused to form two relationships between x and y:
This would allow us to solve for x and in turn find the value of .7x,
the number Batch B students who went to Batch A.The correct answer is C
Was this answer helpful ?
:
C
For an overlapping set question, we can use a
double-set matrix to organize theinformation and solve. The two sets in this
question are the practical test (pass/fail)and the written test (pass/fail).
(1)
INSUFFICIENT: If we add the total number of students to the information from
thequestion, we do not have enough to solve for
.7x.
(2) INSUFFICIENT: If we add the fact that 20%
of the Batch
B who passed thepractical
test failed the written test to the original
matrix from the question, we cancome up with the relationship .7x = .8y. However, that is not enough to solve for .7x.
(1)
AND (2) SUFFICIENT: If we combine the two statements we get a matrix that can
beused to form two relationships between x and y:
This would allow us to solve for x and in turn find the value of .7x,
the number Batch B students who went to Batch A.The correct answer is C
Was this answer helpful ?
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