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20 Sep 2020, 05:32
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A
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Difficulty:
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71% (01:21) correct
29%
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A box contains red, blue, yellow, and orange balls in the ratio of 7:4:3:2, respectively. How many blue balls are in the box?
(1) The number of red balls is 12 more than the number of yellow balls.
(2) There are twice as many blue balls as orange balls in the box.
(1) The number of red balls is 12 more than the number of yellow balls.
(2) There are twice as many blue balls as orange balls in the box.
20 Sep 2020, 06:09
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Given that the ratio of R:B:Y:O is 7:4:3:2
let x be the multiple or in other words the balls are in the ratio 7x:4x:3x:2x
Statement 1:
7x = 12 + 3x
4x=12
x= 3
Hence the number of blue balls are 4*3 = 12
Statement 1 is sufficient
Statement 2:
R:O = 2:1
Which is exactly given in the question stem 4x:2x is 2:1
Hence Statement 2 is not sufficient
Hence A
Kudos if it helps
let x be the multiple or in other words the balls are in the ratio 7x:4x:3x:2x
Statement 1:
7x = 12 + 3x
4x=12
x= 3
Hence the number of blue balls are 4*3 = 12
Statement 1 is sufficient
Statement 2:
R:O = 2:1
Which is exactly given in the question stem 4x:2x is 2:1
Hence Statement 2 is not sufficient
Hence A
Kudos if it helps
avigutman
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GMAT 1: 780 Q51 V45
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GMAT 3: 770 Q50 V45
Expert reply
20 Sep 2020, 06:33
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Since statement (2) doesn't provide new information, you can confidently eliminate choices BCD 
