Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

x = a - \(\sqrt {7}\)

y = a

z = a +\(\sqrt {7}\)

then x3 + y3 + z3 - 3xyz = ?

Options:

45a

9a

27a

63a

Correct Answer:

63a

Explanation:

If x, y and z are in A.P

then x3 + y3+ z3 - 3xyz = 9 × mid term × (a)2

= 9 × a × (\(\sqrt {7}\))2

= 63a