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a, b, and c are integers and a < b < c. S is the set of all integers from a to b, inclusive. Q is the set of all integers from b to c, inclusive. The median of set S is (3/4)b. The median of set Q is (7/8)c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set R?
- a)3/8
- b)1/2
- c)11/16
- d)5/7
- e)3/4
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
a, b, and c are integers and a < b < c. S is the set of all inte...
Since S contains only consecutive integers, its median is the average of the extreme
values a and b. We also know that the median of S is 3/4b. We can set up and simplify
the following equation:
Since set Q contains only consecutive integers, its median is also the average of the
extreme values, in this case b and c. We also know that the median of Q is 7/8c . We can
set up and simplify the following equation:
We can find the ratio of a to c as follows:
Taking the first equation
2a =b→8a = 4b
and the second equation, 4b = 3c
and setting them equal to each other, yields the following:
Since set R contains only consecutive integers, its median is the average of the extreme
values a and c:
. We can use the ratio 
to substitute 3c/8 for a:
Thus the median of set R is 11/16c. The correct answer is C.
values a and b. We also know that the median of S is 3/4b. We can set up and simplify
the following equation:
Since set Q contains only consecutive integers, its median is also the average of the
extreme values, in this case b and c. We also know that the median of Q is 7/8c . We can
set up and simplify the following equation:
We can find the ratio of a to c as follows:
Taking the first equation
2a =b→8a = 4b
and the second equation, 4b = 3c
and setting them equal to each other, yields the following:
Since set R contains only consecutive integers, its median is the average of the extreme
values a and c:
. We can use the ratio to substitute 3c/8 for a:Thus the median of set R is 11/16c. The correct answer is C.
Most Upvoted Answer
a, b, and c are integers and a < b < c. S is the set of all inte...
Is greater than b, and b is greater than c.
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a, b, and c are integers and a < b < c. S is the set of all integers from a to b, inclusive. Q is the set of all integers from b to c, inclusive. The median of set S is (3/4)b. The median of set Q is (7/8)c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set R?a)3/8b)1/2c)11/16d)5/7e)3/4Correct answer is option 'C'. Can you explain this answer?
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a, b, and c are integers and a < b < c. S is the set of all integers from a to b, inclusive. Q is the set of all integers from b to c, inclusive. The median of set S is (3/4)b. The median of set Q is (7/8)c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set R?a)3/8b)1/2c)11/16d)5/7e)3/4Correct answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about a, b, and c are integers and a < b < c. S is the set of all integers from a to b, inclusive. Q is the set of all integers from b to c, inclusive. The median of set S is (3/4)b. The median of set Q is (7/8)c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set R?a)3/8b)1/2c)11/16d)5/7e)3/4Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for a, b, and c are integers and a < b < c. S is the set of all integers from a to b, inclusive. Q is the set of all integers from b to c, inclusive. The median of set S is (3/4)b. The median of set Q is (7/8)c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set R?a)3/8b)1/2c)11/16d)5/7e)3/4Correct answer is option 'C'. Can you explain this answer?.
a, b, and c are integers and a < b < c. S is the set of all integers from a to b, inclusive. Q is the set of all integers from b to c, inclusive. The median of set S is (3/4)b. The median of set Q is (7/8)c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set R?a)3/8b)1/2c)11/16d)5/7e)3/4Correct answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about a, b, and c are integers and a < b < c. S is the set of all integers from a to b, inclusive. Q is the set of all integers from b to c, inclusive. The median of set S is (3/4)b. The median of set Q is (7/8)c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set R?a)3/8b)1/2c)11/16d)5/7e)3/4Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for a, b, and c are integers and a < b < c. S is the set of all integers from a to b, inclusive. Q is the set of all integers from b to c, inclusive. The median of set S is (3/4)b. The median of set Q is (7/8)c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set R?a)3/8b)1/2c)11/16d)5/7e)3/4Correct answer is option 'C'. Can you explain this answer?.
Solutions for a, b, and c are integers and a < b < c. S is the set of all integers from a to b, inclusive. Q is the set of all integers from b to c, inclusive. The median of set S is (3/4)b. The median of set Q is (7/8)c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set R?a)3/8b)1/2c)11/16d)5/7e)3/4Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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a, b, and c are integers and a < b < c. S is the set of all integers from a to b, inclusive. Q is the set of all integers from b to c, inclusive. The median of set S is (3/4)b. The median of set Q is (7/8)c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set R?a)3/8b)1/2c)11/16d)5/7e)3/4Correct answer is option 'C'. Can you explain this answer?, a detailed solution for a, b, and c are integers and a < b < c. S is the set of all integers from a to b, inclusive. Q is the set of all integers from b to c, inclusive. The median of set S is (3/4)b. The median of set Q is (7/8)c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set R?a)3/8b)1/2c)11/16d)5/7e)3/4Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of a, b, and c are integers and a < b < c. S is the set of all integers from a to b, inclusive. Q is the set of all integers from b to c, inclusive. The median of set S is (3/4)b. The median of set Q is (7/8)c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set R?a)3/8b)1/2c)11/16d)5/7e)3/4Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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