AP ICET 2015 Paper

Question : 17 of 200

Marks: +1, -0

If a and b are real numbers, is

ab > 0

?
I.

2|a|+|b|=0

II.

2|a|=|b|

if the statement I alone is sufficient to answer the question.
if the statement II alone is sufficient to answer the question.
if both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.
if both the statements I and II together are not sufficient to answer the question and additional data is required.

Solution:

Given: a,b are real numbers.
I. Given:

2|a|+|b|=0

⇒ a = 0, b = 0 as modulus of any number can’t be negative.
ab = 0 i,e ab ≯ 0
∴ I alone is sufficient

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