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Bunuel
If y = −1/2, is 2x/y > 1?

(1) x < 0

(2) x is an integer


2x/y = -4x

-4x > 1 (we need to prove).

1. x <0 ..
a. -4 * -1/8 = 0.5(No)
b.-4 * -1 = 4(yes)
Not suff.

2. x is an integer , so may be -ve or +ve ..not suff

combining 1 and 2 ..
the smallest number that we can get is -4 * -1 =4 ...so suff...
Hence C.
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Bunuel
If y = −1/2, is 2x/y > 1?

(1) x < 0

(2) x is an integer

By Testing the values

(1) x<0

If x=-1/2

than 2x/y > 1==>2--Yes

If x=-1/10

than 2x/y > 1==>0.4--No

1) is not suff

2)x is an integer

If x=10 than 2x/y > 1--gives -ve so ans is no

If x=-10 than 2x/y > 1--gives +ve so ans is yes

2)is not suff

Using 1 and 2

We get 2x/y > 1--yes

Hence C
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Bunuel
If y = −1/2, is 2x/y > 1?

(1) x < 0

(2) x is an integer

We are given that y = -1/2 and we need to determine whether 2x/y > 1.

Substituting -1/2 for y, we have:

Is 2x/(-1/2) > 1 ?

Is -4x > 1 ?

Is x < -1/4 ?

Statement One Alone:

x < 0

Although we know that x is less than zero, we still cannot determine whether it’s less than -1/4. Statement one alone is not sufficient to answer the question.

Statement Two Alone:

x is an integer.

Since there are positive and negative integers and zero, statement two alone is not sufficient to determine whether x is less than -1/4.

Statements One and Two Together:

Using the information from statements one and two, we know that x is less than zero and that x is an integer. Thus, x ≤ -1, and must be less than -1/4.

Answer: C
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