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29 Mar 2014, 06:31
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E
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Difficulty:
45%
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63% (01:23) correct
37%
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In a recent survey, twenty families reported their incomes for 1995. Was the range of reported 1995 incomes for these families greater than $60,000?
(1) Thirteen of the reported incomes were between $20,000 and $35,000.
(2) Seven of the reported incomes were between $80,000 and $95,000.
ID 07879
(1) Thirteen of the reported incomes were between $20,000 and $35,000.
(2) Seven of the reported incomes were between $80,000 and $95,000.
ID 07879
04 Jun 2014, 09:53
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Statement 1: We only know about the 13 values and know nothing about the remaining values
Statement 2: We only know about the 7 values and know nothing about the remaining values
1+2 --> lowest possible range is = 80k-35k = 45k and the highest possible= 95k-20k = 75k. Since the range is between 45k to 75k impossible to tell if it is greater than 60k. Insuff!
Ans: E
Statement 2: We only know about the 7 values and know nothing about the remaining values
1+2 --> lowest possible range is = 80k-35k = 45k and the highest possible= 95k-20k = 75k. Since the range is between 45k to 75k impossible to tell if it is greater than 60k. Insuff!
Ans: E
General Discussion
29 Mar 2014, 06:37
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Statement 1 is insufficient as it only provides the lower bound.
Statement 2 is insufficient as it only provides the upper bound.
Now let's combine both statements, and try the extremes.
Case 1: 13 incomes of 34,000 and 7 incomes of 81,000
Range = 81,000 - 34,000 = 47,000.
Case 2: 13 incomes of 21,000 and 7 incomes of 94,000
Range = 94,000 - 21,000 = 73,000.
In case 1, range is less than 60,000 and in case 2 the range is greater than 60,000.
Thus, the answer is E.
Statement 2 is insufficient as it only provides the upper bound.
Now let's combine both statements, and try the extremes.
Case 1: 13 incomes of 34,000 and 7 incomes of 81,000
Range = 81,000 - 34,000 = 47,000.
Case 2: 13 incomes of 21,000 and 7 incomes of 94,000
Range = 94,000 - 21,000 = 73,000.
In case 1, range is less than 60,000 and in case 2 the range is greater than 60,000.
Thus, the answer is E.
