## 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: 01 Mar 2018
Followed by:2 members

### In a recent survey, twenty families reported their incomes for $$1995.$$ Was the range of reported $$1995$$ incomes for

by Gmat_mission » Fri Jan 28, 2022 11:48 am

00:00

A

B

C

D

E

## Global Stats

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 $$\95,000.$$

Source: GMAT Prep

Legendary Member
Posts: 2087
Joined: 29 Oct 2017
Followed by:6 members

### Re: In a recent survey, twenty families reported their incomes for $$1995.$$ Was the range of reported $$1995$$ incomes

by swerve » Fri Jan 28, 2022 12:41 pm

00:00

A

B

C

D

E

## Global Stats

Gmat_mission wrote:
Fri Jan 28, 2022 11:48 am
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 $$\95,000.$$

Source: GMAT Prep
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, the range is less than $$60,000$$ and in case 2 the range is greater than $$60,000.$$

Therefore, E

• Page 1 of 1