Source: Official Guide for GMAT Review 2016 Data Sufficiency ; #14

1

# What was the range of the selling prices

What was the range of the selling prices of the 30 wallets sold by a certain store yesterday

### 1 Explanation

1

John Robertson

Range = (Greatest Value in Set) - (Smallest Value in Set)
Range = (Highest wallet price) - (Smallest wallet price)
1) 1/3 of the wallets, 10 of them, sold for \$24. You don't know if \$24 is highest, lowest, what. NS, A & D cross off

2) Lowest Price = 1/3 Greatest Price, but no way to solve for L or G. NS, B cross off

1& 2) You have: Lowest = 1/3 Greatest, L = 1/3G, and 1/3 of the wallets sold for \$24. You have no idea if 24 was the lowest or highest, no way to solve for equation two, both insufficient together.
Ans: E

Jan 15, 2017 • Comment

Cydney Seigerman, Magoosh Tutor

Nice work John! You're correct that even when we combine the two statements, we're unable to determine the highest or lowest price of the wallets, which leads us to a correct answer of (E).

Thanks for sharing your solution :D