Is xy > (x^2)(y^2)
(1) 14(x^2) = 3
(2) y^2 = 1
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
OA is E , IMO C.
Can someone plz. explain
DS-Plz. help
This topic has expert replies
It's E because y can be either 1 or -1 from statement B. In that case, the answer will give you conflicting results.gmat009 wrote:Is xy > (x^2)(y^2)
(1) 14(x^2) = 3
(2) y^2 = 1
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
OA is E , IMO C.
Can someone plz. explain
It's a trick question, i first thought it was C as well...
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statement 1
14*x^2=3
x=sqrt(3/14),-sqrt(3/14)
This statement doesn't tell anything about the value of y
Insufficient
statement 2
y^2=1
y=1,-1
This statement doesn't tell anything about the value of x
Insufficient
Combining both the statements we have
4 cases should be considered
1.when both are positive
2.when both are negative
3.when x is positive and y is negative
4.when x is negative and y is positive
case 1
sqrt(3/14)*1>3/14*1....yes
(P.s the square root of a proper fraction results in a number greater than the fraction itself)
case 3
sqrt(3/14)*-1>-3/14.....The ans is no
Hence the ans should be E
14*x^2=3
x=sqrt(3/14),-sqrt(3/14)
This statement doesn't tell anything about the value of y
Insufficient
statement 2
y^2=1
y=1,-1
This statement doesn't tell anything about the value of x
Insufficient
Combining both the statements we have
4 cases should be considered
1.when both are positive
2.when both are negative
3.when x is positive and y is negative
4.when x is negative and y is positive
case 1
sqrt(3/14)*1>3/14*1....yes
(P.s the square root of a proper fraction results in a number greater than the fraction itself)
case 3
sqrt(3/14)*-1>-3/14.....The ans is no
Hence the ans should be E