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Which of the positive numbers x or y is greater?
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Bunuel
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Which of the positive numbers x or y is greater? [#permalink] New post  03 Jul 2016, 09:53
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Which of the positive numbers x or y is greater?

(1) y = 2x
(2) 2x + 5y = 12
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Re: Which of the positive numbers x or y is greater? [#permalink] New post  03 Jul 2016, 10:40
x and y are positive number and we need to find which is greater

(1) y = 2x
y > x since both are positive
Sufficient
(2) 2x + 5y = 12
x and y can take different values .
Not sufficient
Answer A
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Re: Which of the positive numbers x or y is greater? [#permalink] New post  03 Jul 2016, 11:56
y = 2x suffices for Ans. Second option has 2 variable for 1 equation, hence cannt be solved.
Hence A
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Re: Which of the positive numbers x or y is greater? [#permalink] New post  03 Jul 2016, 17:36
I will go for A

2X+5Y=12
Can be 2*5+5*0.4 =12
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Re: Which of the positive numbers x or y is greater? [#permalink] New post  03 Jul 2016, 22:18
A

as x and y are +ve
1)y=2x..it is suff
2)2x+5y=12

for this x>y or y>x
so nt suff
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Re: Which of the positive numbers x or y is greater? [#permalink] New post  04 Jul 2016, 04:21
2
Fact 1) Y is always double X...........Answer to question is always Yes..... Sufff

Fact 2) 2x + 5y = 12 many value for X and Y

X= 1/2, Y=11 ...Answer to question is Yes

X= 11/2, Y= 1/5 .....Answer to question is No

Insuff.

Answer: A
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Re: Which of the positive numbers x or y is greater? [#permalink] New post  04 Jul 2016, 10:33
A is sufficient.

Stmt 1: is valid for both integers and fractions and it can be deduced that y>x.
Stmt 2: not sufficient to prove if x>y or y>x. Hence in sufficient.
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Re: Which of the positive numbers x or y is greater? [#permalink] New post  10 Jul 2016, 06:25
Statement 1) Y is always double X...........Answer to question is always Yes..... Sufficient

Statement 2) 2x + 5y = 12 many value for X and Y

X= 1/2, Y=11/5 ... for this case Y>X

X= 11/2, Y= 1/5 .. for this case X>Y

Statement 2 by itself is Insufficent.

Answer: A
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Re: Which of the positive numbers x or y is greater? [#permalink] New post  11 Jul 2017, 06:29
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Which of the positive numbers x or y is greater?

(1) y = 2x
(2) 2x + 5y = 12

Solution:

Statement 1: x=2,y=4. or x=20.5,y=41. So irrespective of the values this statement holds true. Sufficient.

Statement 2:x=5,y=0.4 or x=1,y=2. Therefore this statement is insufficient.

Therefore the answer is Option A.
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Re: Which of the positive numbers x or y is greater? [#permalink] New post  06 Sep 2018, 21:39
St 1: Since both are positive, Y will always be greater than x------ Sufficient.

St 2:
2x+5y = 12
or y = (12-2x)/5

if x =1, y = 2 so y>x
if x= 2, y = less than 2 so y<x Not sufficient
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Re: Which of the positive numbers x or y is greater? [#permalink] New post  08 Sep 2018, 00:03
In stat 1 whatever positive value we take y>x hence sufficient
In stat 2 y=2 and x=1 satisfies the equation and x=3.5 and y=1 also satisfies, so we cannot decide which of
x and y is greater hence not sufficient.
A should be the correct choice.
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Re: Which of the positive numbers x or y is greater? [#permalink] New post  09 Sep 2018, 02:10
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The question would be a little bit trickier if statement 2 would change.

Which of the positive numbers x or y is greater?

(1) y = 2x
(2) 2x + 6y = 12

Statement 2 is still insufficient, but some people will assume that x=1 and y=1, since 12=2*6. But since the question does not state that x and y are integers; S(2) is still insufficient.
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Re: Which of the positive numbers x or y is greater? [#permalink] New post  06 Oct 2019, 08:44
So "numbers" on the GMAT does not necessarily mean integers?
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Which of the positive numbers x or y is greater? [#permalink] New post  07 Oct 2019, 09:38
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Bunuel wrote:
Which of the positive numbers x or y is greater?

(1) y = 2x
(2) 2x + 5y = 12


Statement 1:
y = x + x and x is confirmed to be positive, so y > x is true. Sufficient.

Statement 2:
We can have y=0.000001 or y = 2. Insufficient.

Ans: A
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Re: Which of the positive numbers x or y is greater? [#permalink] New post  23 Nov 2020, 18:47
Bunuel wrote:
Which of the positive numbers x or y is greater?

(1) y = 2x
(2) 2x + 5y = 12


(1) y is double the value of x; SUFFICIENT.

(2) x and y can take many values; INSUFFICIENT.

Answer is A.
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