GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 19 Feb 2020, 21:04

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# There is a set of beads, each of which is painted either red or blue.

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 61302
There is a set of beads, each of which is painted either red or blue.  [#permalink]

### Show Tags

17 Jan 2020, 01:16
00:00

Difficulty:

55% (hard)

Question Stats:

56% (02:28) correct 44% (01:57) wrong based on 24 sessions

### HideShow timer Statistics

There is a set of beads, each of which is painted either red or blue. The beads are split, with each bead being cut in half. Then they are merged, where all the halves are randomly reassembled back into the same number of beads that there were to begin with. This results in r red beads, b blue beads, and p beads that are half red and half blue. Before the split and merge, were there more red beads than blue beads?

(1) after the split and merge, the probability of picking a bead that is only red is less than the probability of picking a bead that is at least half blue.

(2) After the split and merge, the probability of picking a bead that is only blue is greater than the probability of picking a bead that is at least half red.

Are You Up For the Challenge: 700 Level Questions

_________________
GMAT Tutor
Joined: 24 Jun 2008
Posts: 2011
Re: There is a set of beads, each of which is painted either red or blue.  [#permalink]

### Show Tags

17 Jan 2020, 07:47
1

r + (p/2) > b + (p/2)

is true, and subtracting p/2 from both sides, we just need to know if r > b, or if we ended up with more pure red than pure blue beads.

Statement 1 tells us r < p + b. That's not sufficient; maybe p = 0, and r < b, but maybe b=0 and p is large, and r > b.

Statement 2 tells us b > p + r. But p + r > r, so b > r, which means we started with more blue than red beads, which is sufficient (we know the answer to the question is 'no'). So the answer is B.
_________________
GMAT Tutor in Montreal

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com
Re: There is a set of beads, each of which is painted either red or blue.   [#permalink] 17 Jan 2020, 07:47
Display posts from previous: Sort by