OG 10 200

This topic has expert replies
Master | Next Rank: 500 Posts
Posts: 151
Joined: Thu Apr 22, 2010 4:07 pm
Thanked: 14 times

OG 10 200

by Haaress » Fri Jul 16, 2010 9:59 am
Q. If x and y are positive, what is the value of x?

a) 200% of x is 400% of y
b) xy is the square of a positive integer

i saw this question on the web, but don't know what he OA is. Can someone confirm the OA from OG 10.
Source: — Data Sufficiency |

User avatar
Legendary Member
Posts: 1460
Joined: Tue Dec 29, 2009 1:28 am
Thanked: 135 times
Followed by:7 members

by selango » Fri Jul 16, 2010 10:06 am
From stmt1,

200/100*x=400/100*y

x=2y,We dont know value of y,Insufficient.

From stmt2,

xy=a^2

xy=9 or xy=16 or ...,Insufficient.

Combining 1 and 2

2y^2=a^2

Many scenarios are possible for this condition..

Insufficient.

Hence E
--Anand--

User avatar
Legendary Member
Posts: 1893
Joined: Sun May 30, 2010 11:48 pm
Thanked: 215 times
Followed by:7 members

by kvcpk » Fri Jul 16, 2010 10:09 am
Haaress wrote:Q. If x and y are positive, what is the value of x?

a) 200% of x is 400% of y
b) xy is the square of a positive integer

i saw this question on the web, but don't know what he OA is. Can someone confirm the OA from OG 10.
2x=4y
x=2y
INSUFF

xy =k^2
again x can be any value.
INSUFF

Combining:
x=2y
1/2 *x^2 = K^2
K is positive integer.
if K=1, x=1/root(2)
if k=2, x = 2root(2)

INSUFF

I do not know the OA. But I believe the answer should be E

User avatar
GMAT Instructor
Posts: 1052
Joined: Fri May 21, 2010 1:30 am
Thanked: 335 times
Followed by:98 members

by Patrick_GMATFix » Fri Jul 16, 2010 5:50 pm
Haaress wrote:Q. If x and y are positive, what is the value of x?

a) 200% of x is 400% of y
b) xy is the square of a positive integer

i saw this question on the web, but don't know what he OA is. Can someone confirm the OA from OG 10.
The answer is definitely E.
(1) 2x = 4y, so x=2y. No idea what the values are.
(2) doesn't give us any specific values to work with.

MERGE STATEMENTS
Replace x with 2y. Statement 2 then says 2y*y is the square of a positive integer. There are an infinite number of values. 2y*y could equal 1 >> y=root(1/2). or 2y*y could equal 4 >> y=root(2). Notice that we are never told that x and y are integers.

Haaress, let me go get my OG 10. I'll tell you the OA... The OA is E

Hope that helps,
Patrick
  • Ask me about tutoring.