If x and y are real numbers, what is the value of xy ? I. x+y=16 II.x²+y²=160

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 : 2 of 200

Marks: +1, -0

x+y=16

x^2+y^2=160

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+y=16

There are two unknowns and only one equation. Further, x and y being real numbers, we can have infinite number of solutions.

∴ Ι alone is not sufficient

II. Given:

x^2+y^2=160

Similarly, II alone is not sufficient.

I&II.

x+y=16,x^2+y^2=160

(x+y)^2=x^2+y^2+2xy

So we can find xy.

∴ I&II together are sufficient.

Go to Question:

Prev Question

Next Question