If y = −1/2, is 2x/y 1?

Question

If y = −1/2, is 2x/y > 1?

(1) x < 0

(2) x is an integer

0akshay0 · Answer

2x/y = 2x/(-1/2) = -4x => is -4x >1 ? St I x < 0 if x = -1; -4x = 4 >1 if x = -1/8; -4x = 1/2 <1 -----------Insufficient St II x is an Integer if x = -1; -4x = 4 >1 if x = 1; -4x = -4 <1 -----------Insufficient St I and II x < 0 and x is an Integer if x=-1; -4x=4 >1 if x=-2; -4x=8 >1 if x=-100; -4x=400 >1 Hence Option C is correct. Hit Kudos if you liked it 8-)

Cez005 · Answer

Using y, question is is -4x>1? 1) x<0. x could be -0.1, in which case -4x<1. Or, x could be -1, in which case -4x>1. Not suff. 2) Clearly insuff. 1)&2) Greatest value x can be is -1, in which case -4x>1. Suff. C

sobby · Answer

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.

NandishSS · Answer

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

JeffTargetTestPrep · Answer

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

If y = −1/2, is 2x/y > 1?

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If y = −1/2, is 2x/y > 1?

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