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15 Jul 2019, 17:12
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
50% (02:10) correct
50%
(01:53)
wrong
based on 168
sessions
History
Date
Time
Result
Not Attempted Yet
27 balls are separated into 3 groups with different number of balls, what is the number of balls in the largest group?
(1) The balls in the largest group are twice the balls in the smallest group.
(2) The sum of balls in the two larger groups is 21
(1) The balls in the largest group are twice the balls in the smallest group.
(2) The sum of balls in the two larger groups is 21
inspired by a GMAT prep question https://gmatclub.com/forum/if-a-wire-27-meters-long-is-cut-into-three-pieces-of-three-126906.html#p2280222
15 Jul 2019, 19:47
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Statement 1
1. x+y+2x=27 or 3x+y=27
y=27-3x
(x,y)= (0,27), (1, 24), (2, 21), (3, 18), (4, 15), (5, 12), (6, 9), (7, 6), (8,3) or (9,0)
Also, 0<x<y<2x
Only possible value of (x,y)= (6, 9)
Number of balls in 3 groups are 6, 9 and 12
Sufficient
Statement 2
Number of balls in smallest group= 27-21=6
Number of balls in other 2 groups can be (7, 14), (8,13), (9, 12) or (10, 11)
Insufficient
1. x+y+2x=27 or 3x+y=27
y=27-3x
(x,y)= (0,27), (1, 24), (2, 21), (3, 18), (4, 15), (5, 12), (6, 9), (7, 6), (8,3) or (9,0)
Also, 0<x<y<2x
Only possible value of (x,y)= (6, 9)
Number of balls in 3 groups are 6, 9 and 12
Sufficient
Statement 2
Number of balls in smallest group= 27-21=6
Number of balls in other 2 groups can be (7, 14), (8,13), (9, 12) or (10, 11)
Insufficient
Mahmoudfawzy83
17 Jul 2019, 03:43
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This is definitely an intriguing problem and if you will not pay attention, you will end up picking C as the answer. Let's see how to go about it.
As I have mentioned in my earlier posts, it is imperative to take stock of the information you have in value DS problems with lot of information packaged it. Don't take this advice for granted.
Start by noting down what you know from the question stem and what is the question asking.
Know: 27 balls C = ?
3 groups: A < B < C
A + B + C = 27
A, B, C are Integers (Balls can't be in fractions :D )
Think what is needed to answer the question. Definitely, we need either values of A, B, and C (which you won't see directly in the question, of course) or some relationship b/w A, B, and C.
1) C = 2A
Plug in few values before you jump onto the answer.
A = 5
=> C = 10
=> B = 12 Not possible as B < C
A = 6
=> C = 12
=> B = 9
This case is possible. Keep it!
A = 7
=> C = 14
=> B = 6 Not possible as A < B
Therefore, only second case is possible.
Sufficient
2) B + C = 21
=> A = 6
C could have many values.
Insufficient
So, the answer is A.
Please give kudos if you liked the solution.
Deepti Singh
Master Trainer - GMAT
Manya - The Princeton Review
As I have mentioned in my earlier posts, it is imperative to take stock of the information you have in value DS problems with lot of information packaged it. Don't take this advice for granted.
Start by noting down what you know from the question stem and what is the question asking.
Know: 27 balls C = ?
3 groups: A < B < C
A + B + C = 27
A, B, C are Integers (Balls can't be in fractions :D )
Think what is needed to answer the question. Definitely, we need either values of A, B, and C (which you won't see directly in the question, of course) or some relationship b/w A, B, and C.
1) C = 2A
Plug in few values before you jump onto the answer.
A = 5
=> C = 10
=> B = 12 Not possible as B < C
A = 6
=> C = 12
=> B = 9
This case is possible. Keep it!
A = 7
=> C = 14
=> B = 6 Not possible as A < B
Therefore, only second case is possible.
Sufficient
2) B + C = 21
=> A = 6
C could have many values.
Insufficient
So, the answer is A.
Please give kudos if you liked the solution.
Deepti Singh
Master Trainer - GMAT
Manya - The Princeton Review
