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20 Aug 2011, 04:13
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C
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Difficulty:
55%
(hard)
Question Stats:
60% (01:42) correct
40%
(01:48)
wrong
based on 244
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History
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Hi All,
This is a question from one of the Diagnostic tests of GMAT Club:
Three people each took 5 tests. If the ranges of their scores in the 5 practice tests were 17, 28 and 35, what is the minimum possible range in scores of the three test-takers?
a 17
b) 28
c) 35
d) 45
e) 80
OPEN DISCUSSION OF THIS QUESTION IS HERE: three-people-each-took-5-tests-if-the-ranges-of-their-score-127935.html
This is a question from one of the Diagnostic tests of GMAT Club:
Three people each took 5 tests. If the ranges of their scores in the 5 practice tests were 17, 28 and 35, what is the minimum possible range in scores of the three test-takers?
a 17
b) 28
c) 35
d) 45
e) 80
OPEN DISCUSSION OF THIS QUESTION IS HERE: three-people-each-took-5-tests-if-the-ranges-of-their-score-127935.html
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12 Jan 2016, 04:00
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anandwillneverdie
Try to look at it as overlapping sets problem:
# of people in group A is 17;
# of people in group B is 28;
# of people in group C is 35;
What is the minimum # of total people possible in all 3 groups? Clearly if two smaller groups A and B are subsets of bigger group C (so if all people who are in A are also in C and all people who are in B are also in C), then total # of people in all 3 groups will be 35. Minimum # of total people can not possibly be less than 35 since there are already 35 people in group C.
Answer: C.
Hope it's clear.
P.S. Notice that max range for the original question is not limited when the max # of people in all 3 groups for revised question is 17+28+35 (in case there is 0 overlap between the 3 groups).
OPEN DISCUSSION OF THIS QUESTION IS HERE: three-people-each-took-5-tests-if-the-ranges-of-their-score-127935.html
General Discussion
20 Aug 2011, 04:24
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It is finding the minimum range between all their scores, if all test taker scores are between 0 and maximum range we will have:
A- 0 and 17
B- 0 and 28
C- 0 and 35
therefore the minimum range is 35, it cant be any lower however you play with the numbers.
Hope this helps
A- 0 and 17
B- 0 and 28
C- 0 and 35
therefore the minimum range is 35, it cant be any lower however you play with the numbers.
Hope this helps
