Is a b? 1) a 1.5b 2) a 0.5b

Question

Is a > b?

1) a > 1.5b

2) a > 0.5b

rvgmat12 · Answer

Adding 1& 2

2a < 2b

a < b

C

Individual statements not sufficient - for example

1.

-1.25 and -1

2.

1 and 1.5

chetan2u · Answer

1) a > 1.5b a can easily be in between b and 1.5b. Two cases: a>1.5b>b……when a and b are positive. a=4 and b=1 1.5b 0.5b a can easily be in between b and 0.5b. Two cases: a>b>0.5b……..a=2 and b=1 b>a>0.5b…….a=3 and b=4 Insufficient Combined Add the two inequalities a+a>1.5b+0.5b 2a>2b a>b Sufficient C

sanjayparihar16 · Answer

QUES -> Is a-b>0
Statement 1-
a>(3/2)b
a>b+(1/2)b
a-b>(1/2)b
a-b can be positive or negative depending upon the value of b

Hence eliminate A and D

Statement 2 - 
a> (1/2)b
Clearly insufficient like we saw in the statement 1

Combining the 2 statements -

Add the two inequalities (NOTE - WE CAN ADD TWO INEQUALITIES IF BOTH HAVE THE SAME SIGN)
On adding the two statements->
2a>2b
hence a>b
Option C is the best choice.

Thank you for reading.

Rwoot · Answer

St1 not sufficient when considering negative values
s2 obviously insufficient

S1+S2 sufficient

rxb266 · Answer

Is a > b?

1) a > 1.5b

Possible values for a and b : (a,b) -> ( 0,-1)or (-1, -0.9) INSUFFICIENT

2) a > 0.5b

Possible values for a and b : (a,b) -> ( 0,-1)or (17, 32) INSUFFICIENT

Combining statement 1 and statement 2 = 2a > 2b or a>b (SUFFICIENT)

Answer C

Is a > b? 1) a > 1.5b 2) a > 0.5b

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