Is a+b\neq0, if a and b are real numbers ? I. ab=0 II. a^2+b^2=0

Correct Answer is : if the statement II alone is sufficient to answer the question.

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.

AP ICET 2015 Paper

Question : 15 of 200

Marks: +1, -0

a+b≠0

, if a and b are real numbers ?
I.

ab=0

II.

a^2+b^2=0

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: ab = 0
Βoth or either of ‘a’ and ‘b’ may be zero.
∴ I alone is not sufficient.
II. Given:

a^2+b^2=0

a = 0 and b = 0 because square of a real number can’t be negative.
∴ ΙΙ alone is sufficient.

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