Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

Which of the following statement is correct ?

I. If x = 12, y = -2 and z = -10, then $x^3 + Y^3 +z^3 = 360$.

II. If x + y = 48 and 4xy = 128, then $ 4x^2 +4y^2 = 4480$.

Options:

Neither I nor II

Only I

Both I and II

Only II

Correct Answer:

Neither I nor II

Explanation:

I. If x = 12, y = -2 and z = -10, then $x^3 + Y^3 +z^3 = 360$.

= $12^3 + -2^3 +-10^3 = 720$.(Not true)

II. If x + y = 48 and 4xy = 128, then $ 4x^2 +4y^2 = 4480$

=  4x2 +4y2 = 4( x2 + y2 ) = 4 ( 482 - 2 × 32 ) = 8960 Not true

Neither I nor II