If a number between 0 and 1/2 is selected at random, which of the following will the number most likely be between?
A) 0 and 3/20
B) 3/20 and 1/5
C) 1/5 and 1/4
D) 1/4 and 3/10
E) 3/10 and 1/2
Most likely range
This topic has expert replies
-
- Master | Next Rank: 500 Posts
- Posts: 116
- Joined: Tue Mar 31, 2009 10:50 am
- Followed by:1 members
GMAT/MBA Expert
- Brent@GMATPrepNow
- 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
We need to determine the LENGTH OF EACH INTERVAL.LulaBrazilia wrote:If a number between 0 and 1/2 is selected at random, which of the following will the number most likely be between?
A) 0 and 3/20
B) 3/20 and 1/5
C) 1/5 and 1/4
D) 1/4 and 3/10
E) 3/10 and 1/2
The interval that has the greatest length, will be the most likely interval.
To determine the length of each interval, it may be faster to first convert the fractions to decimals. We get:
A) 0 and 0.15 (interval length = 0.15)
B) 0.15 and 0.2 (interval length = 0.05)
C) 0.2 and 0.25 (interval length = 0.05)
D) 0.25 and 0.3 (interval length = 0.05)
E) 0.3 and 0.5 (interval length = 0.2)
Answer: E
Cheers,
Brent
GMAT/MBA Expert
- Brent@GMATPrepNow
- 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
Alternatively, we might rewrite each fraction with a common denominator of 20 to get:LulaBrazilia wrote:If a number between 0 and 1/2 is selected at random, which of the following will the number most likely be between?
A) 0 and 3/20
B) 3/20 and 1/5
C) 1/5 and 1/4
D) 1/4 and 3/10
E) 3/10 and 1/2
A) 0 and 3/20 (interval length = 3/20)
B) 3/20 and 4/20 (interval length = 1/20)
C) 4/20 and 5/20 (interval length = 1/20)
D) 5/20 and 6/20 (interval length = 1/20)
E) 6/20 and 10/20 (interval length = 4/20)
Answer: E
Cheers,
Brent
- Patrick_GMATFix
- GMAT Instructor
- Posts: 1052
- Joined: Fri May 21, 2010 1:30 am
- Thanked: 335 times
- Followed by:98 members
- Check out my site: GMATFix.com
- To prep my students I use this tool >> (screenshots, video)
- Ask me about tutoring.