BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

If each of the 20 bolts of fabric on a shelf is either

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 1622
Joined: Thu Mar 01, 2018 7:22 am
Followed by:2 members

If each of the 20 bolts of fabric on a shelf is either

by Gmat_mission » Sun Jun 30, 2019 9:27 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

If each of the 20 bolts of fabric on a shelf is either 100 percent cotton, 100 percent wool, or a mixture of cotton and wool, how many bolts contain both cotton and wool?

(1) Of the 20 bolts, 18 contain some wool and 14 contain some cotton.
(2) Of the 20 bolts, 6 are 100 percent wool.

[spoiler]OA=A[/spoiler]

Source: Veritas Prep
Top
Source: — Data Sufficiency |
Legendary Member
Posts: 2214
Joined: Fri Mar 02, 2018 2:22 pm
Followed by:5 members

by deloitte247 » Sat Jul 13, 2019 6:21 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

How many bolts are cotton and wool mixture
Let x = 100% cotton
Let y = 100% wool
Let z = mixture of cotton and wool
x + y + z = 20 find z
Statement 1 => Of the 20 bolts 18 contain some wool and 14 contain some cotton
y + z = 18 and x + z =14
x + y + z = 20
x + 18 = 20
x =2; y =6 and z =12 statement 1 is SUFFICIENT

Statement 2 => Of the 20 bolts 6 are 100% wool
y = 6
x + y + z = 20
x + z = 20 - 6
x + z = 14 value of z remains unknown; statement 2 is NOT SUFFICIENT

Answer = option A as statement 1 alone is SUFFICIENT.
Top
Post new topic Post Reply
• Page 1 of 1