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30 Aug 2023, 01:30
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
63% (01:43) correct
37%
(02:24)
wrong
based on 43
sessions
History
Date
Time
Result
Not Attempted Yet
A bag contains balls, of which some are red and the others are blue. What is the number of blue balls in the bag?
(1) If 5 red balls are taken out of the bag, the bag will contain 50% more red balls than blue balls
(2) If 5 blue balls are taken out of the bag, the bag will contain 4 red balls for every blue ball
(1) If 5 red balls are taken out of the bag, the bag will contain 50% more red balls than blue balls
(2) If 5 blue balls are taken out of the bag, the bag will contain 4 red balls for every blue ball
30 Aug 2023, 12:35
Kudos
Bookmarks
Bunuel
Let's assume -
- The number of red balls = \(r\)
- The number of blue balls = \(b\)
Total number of balls = \(r + b\)
Question: \(b\)?
Statement 1
(1) If 5 red balls are taken out of the bag, the bag will contain 50% more red balls than blue balls
\(r - 5 = 1.50*b\)
\(r = 1.50*b + 5\)
We can have multiple values of \(r\) and \(b\) satisfying this equation.
Ex. b = 2 , r = 8 ; b = 6 , r = 14
Hence, the statement alone is not sufficient.
Statement 2
(2) If 5 blue balls are taken out of the bag, the bag will contain 4 red balls for every blue ball
\(r = 4(b - 5)\)
We can have multiple values of \(r\) and \(b\) satisfying this equation.
Hence, the statement alone is not sufficient.
Combined
From Statement 2, \(r = 4b - 20\)
From Statement 1, \(r = 1.50*b + 5\)
\(4b - 20 = 1.50*b + 5\)
\(2.5b = 25\)
\(b = 10\)
Sufficient.
Option C
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