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 \(\$95,000.\)
Answer: E
Source: GMAT Prep
In a recent survey, twenty families reported their incomes for \(1995.\) Was the range of reported \(1995\) incomes for
This topic has expert replies
-
- Legendary Member
- Posts: 1622
- Joined: Thu Mar 01, 2018 7:22 am
- Followed by:2 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
Statement 1 is insufficient as it only provides the lower bound.Gmat_mission wrote: ↑Fri Jan 28, 2022 11:48 amIn 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 \(\$95,000.\)
Answer: E
Source: GMAT Prep
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, the range is less than \(60,000\) and in case 2 the range is greater than \(60,000.\)
Therefore, E