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Bunuel
If a, b, and c are integers, is a greater than b?

(1) The absolute value of a is less than the absolute value of c.
(2) The absolute value of b is greater than the absolute value of c.


Given a, b, c = Integers

Question : Is a > b?

St 1 : |a| < |c| Not Sufficient as no information about "b"

St 2 : |b| > |c| Not Sufficient as no information about "a"

Combining I & II we get |b| > |c| > |a|

Take b = - 3 , c = 2, a = 1

Take b = 3, c = 2, a = - 1

(E)
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If a, b, and c are integers, is a greater than b?

(1) The absolute value of a is less than the absolute value of c.
(2) The absolute value of b is greater than the absolute value of c.

1. no info about b
2. no info about a

1/2. there is no connection between those

ANSWER: E
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In this while solving for statement 1, are we not able to find out that a<c and by solving finding out b>c so why cant we use both statements together to say b>a hence both are sufficient to answer the question that it is not greater?
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In this while solving for statement 1, are we not able to find out that a<c and by solving finding out b>c so why cant we use both statements together to say b>a hence both are sufficient to answer the question that it is not greater?

Let’s combine the statements:

(1) |a| < |c|

(2) |b| > |c|

Together:

|a| < |c| < |b|

So b has a greater absolute value than a. But this does not tell us whether b is positive or negative.

For example:

a = 1, c = 2, b = 3

Then a > b is false.

But:

a = 1, c = 2, b = -3

Then a > b is true.

So even together, the statements are not sufficient.

Answer: E.
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