Data Sufficiency

Problem:

If c is not equal to 0, is ab/c > 0 ?

(1) a^2bc^3 > 0
(2) ac < 0

OA after discussion.

Thanks

Vishwas

Is the OA B ?

vishwas.arora wrote:Problem:

If c is not equal to 0, is ab/c > 0 ?

(1) a^2bc^3 > 0
(2) ac < 0

OA after discussion.

Thanks

Vishwas

Determine what's being tested: this question is about POSITIVE VS. NEGATIVE.
Try different combinations of positive and negative values.
Look for combinations that satisfy both statements.

Let a=1, b=-1 and c=-1.
Statement 1: a²bc³ > 0.
1²(-1)(-1)³ > 0.
1 > 0.

Statement 2: ac < 0.
(1)(-1) < 0.
-1 < 0.

Both statements are satisfied.
Is ab/c > 0?
(1)*(-1) / (-1) > 0
1 > 0. Yes.

Let a=-1, b=1 and c=1.
Statement 1: a²bc³ > 0.
(-1)²(1)(1)³ > 0.
1 > 0.

Statement 2: ac < 0.
(-1)(1) < 0.
-1 < 0.

Both statements are satisfied.
Is ab/c > 0?
(-1)*(1) / (1) > 0
-1 > 0. No.

The correct answer is E.

Combining Both option 1 and option 2 .
C = +ve ( Positive)
From Option 1. A = -Ve
but we have no clue about B.

hence E

neither statement helps us to find the sings of a,b & c
nor does the second statement

Answer should be E

If c is not equal to 0, is ab/c > 0 ?

(1) a^2bc^3 > 0
(2) ac < 0

form 1 a can be -ve or +ve
if a -ve b & c are +ve , a +ve b,c can be either -ve or +ve (Not Sufficient)

From 2
ac<0 either a is -ve or C is -ve but no idea about b, Not sufficient

Combining both from 2 if a-ve then b & c are +ve as per 1 statement ab/c >0 even b & c are +ve but c can greater than ab multiple it can be less 1 as fraction

So Answer is E

E too/