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If x and y are both positive numbers, is x greater than 75% of y?
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22 Aug 2016, 02:50
22 Aug 2016, 02:50
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If x and y are both positive numbers, is x greater than 75% of y?
(1) 5x > 4y + 1
(2) x = 6
(1) 5x > 4y + 1
(2) x = 6
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Re: If x and y are both positive numbers, is x greater than 75% of y?
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22 Aug 2016, 05:37
22 Aug 2016, 05:37
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Bunuel wrote:
If x and y are both positive numbers, is x greater than 75% of y?
(1) 5x > 4y + 1
(2) x = 6
(1) 5x > 4y + 1
(2) x = 6
Target question: Is x greater than 75% of y?
Given: x and y are both positive numbers
Let's REPHRASE the target question as.....
REPHRASED target question: Is 0.75y < x?
Aside: I like to arrange my inequalities so that the larger value is on the right (just like on the number line)
Statement 1: 5x > 4y + 1
Rearrange to get: 4y + 1 < 5x
Divide both sides by 5 to get: 0.8y + 0.2 < x
IMPORTANT: Since y is POSITIVE (given), we know that 0.75y < 0.8y
Since 0.8y is ALREADY bigger than 0.75y, we can be certain that 0.75y < 0.8y + 0.2
Given all of this, we can COMBINE the inequalities to see that 0.75y < 0.8y + 0.2 < x
So, we can conclude that 0.75y < x
PERFECT
Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT
Statement 2: x = 6
No information about y.
Statement 2 is NOT SUFFICIENT
Answer =
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Re: If x and y are both positive numbers, is x greater than 75% of y?
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22 Aug 2016, 04:25
22 Aug 2016, 04:25
Bunuel wrote:
If x and y are both positive numbers, is x greater than 75% of y?
(1) 5x > 4y + 1
(2) x = 6
(1) 5x > 4y + 1
(2) x = 6
Given to find x > 3/4(y)
Stat 1: 5x > 4y + 1...let's say x = 1 and y = 1 then 5 > 4 + 1...here x is greater than y....5x > 4y + 1...if 5x value has to be greater than 4y+1..then x must be greater than y.
if x = 2 and y = 1, then 10 > 4 + 1.... Sufficient..
Stat 2: x = 6..we don't have info about y.
IMO option A is correct answer...
OA please...will correct if I missed anything..
