If x and y are real numbers, is x > y ? I. x is the smaller of the roots of x²-1=0 II. y is the real root of y³-1=0

Correct Answer is : if both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

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.

Correct Answer is : if both the statements I and II are sufficient to answer the question but neither statement alone is sufficient.

Test Index

AP ICET 2015 Paper

Question : 16 of 200

Marks: +1, -0

x > y

x^2-1=0

y^3-1=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: x and y are real numbers

I. Given:

x^2–1=0

It gives no information about y.

∴ I alone is not sufficient.

II. Given:

y^3–1=0

It gives no information about x.

∴ ΙΙ. alone is not sufficient.

I & II,

x^2–1=0,y^3–1=0

x=-1[–1 < (+1)]

and

y=1

x < y

∴ I & II together are sufficient.

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