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

Redeem

If the above Venn diagram were filled with all integers

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

If the above Venn diagram were filled with all integers

by Brent@GMATPrepNow » Fri Mar 06, 2020 6:10 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Image

If the above Venn diagram were filled with all integers greater than 1, how many of the regions marked with a letter (from a to h) would be empty?

A) 0
B) 1
C) 2
D) 3
E) 4

Answer: B
Source: www.gmatprepow.com
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

Re: If the above Venn diagram were filled with all integers

by Brent@GMATPrepNow » Mon Mar 09, 2020 6:10 am
Brent@GMATPrepNow wrote: ↑
Fri Mar 06, 2020 6:10 am
 Image

If the above Venn diagram were filled with all integers greater than 1, how many of the regions marked with a letter (from a to h) would be empty?

A) 0
B) 1
C) 2
D) 3
E) 4

Answer: B
Source: www.gmatprepow.com
Let's start filling in each region, starting with a

a) 3 works here, since it's a prime number, but it's neither even nor divisible by 5
b) 5 works here (it's prime AND it's divisible by 5)
c) 15 (divisible by 5, but neither even nor prime)
d) EMPTY. In order for a number to be in this region, it must be prime AND divisible by both 2 and 5. There is no such number.
e) 2 is is both prime and even
f) 10 is even and divisible by 5 (but not prime)
g) 4 is even, but neither prime nor divisible by 5
h) 9 works here

So, only one region is left empty

Answer: B

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Post new topic Post Reply
• Page 1 of 1