Is a b? 1) a*b

Question

Is a > b? 1) a*b < 1 2) a/b < 1 Source: www.GMATinsight.com

Arro44 · Answer

I would opt for E.

According to statement one, a=2 b=-1 would work, a=-1 b=2 would work as well.

According to statement two, a=2 b=-1 would work, a=-1 b=2 would work again.

Thus we are still uncertain even when combining our given statements, hence E.

KanishkM · Answer

IMO E

Question is a> b ??

from 1) 1 > a*b

Now a can be +ive or -ive & b can be +ive or -ive 
c1 : a = -1 b = 2
c2 : a = 2 b = -1

1 > -2, ok, but answer to the question is No -1 > 2 
1 > -2, ok, answer to the question is Yes 2 > -1

from 2) 1 > a/b

Now a can be +ive or -ive & b can be +ive or -ive 
c1 : a = -1 b = 2
c2 : a = 2 b = -1

1 > -0.5, but answer to the question is No -1 > 2 
1 > -2, ok, answer to the question is Yes 2 > -1

Lets now combine both the statements, we can use the same test cases

Still its not sufficient

Archit3110 · Answer

DS is a yes or no type #1 a*b<1 in this case either of a & b can be +ve or -ve so for relation a>b wont stand true always; in sufficient #2 a/b<1 aa and both are +ve or when either of a & b is -ve , again in sufficient from 1& 2 the only common overlap is of getting either of a & b being + and -ve so we cannot say that a>b would stand true always IMO E

abc11 · Answer

Tricky one; 1). a*b < 1 => a = 1/2, b =-1 TRUE, a=-1/2, b =1 FALSE 2). a/b <1 => TRUE IF both a and b are positive, but no such info is given so E

GMATinsight · Answer

Question : Is a >b ? Statement 1 : a*b < 1 Case 1: a = 0.2 and b = 0.1 i.e. a > b Answer to the asked question is YES Case 2: a = -0.2 and b = -0.1 i.e. a < b Answer to the asked question is NO NOT SUFFICIENT Statement 2 : a/b < 1 Case 1: a = 0.2 and b = -0.1 i.e. a > b Answer to the asked question is YES Case 2: a = -0.2 and b = 0.1 i.e. a < b Answer to the asked question is NO NOT SUFFICIENT Combining the two statements Case 1: a = 0.2 and b = -0.1 i.e. a > b Answer to the asked question is YES Case 2: a = -0.2 and b = 0.1 i.e. a < b Answer to the asked question is NO NOT SUFFICIENT Answer: Option E

Is a > b? 1) a*b < 1 2) a/b < 1 Source: www.GMATinsight.com

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GMAT Data Sufficiency (DS) Questions

Is a > b? 1) a*b < 1 2) a/b < 1 Source: www.GMATinsight.com

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