Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a + b = 27 and $a^3 + b^3 = 5427$, then find ab.

Options:

143

135

176

149

Correct Answer:

176

Explanation:

If a + b = 27

$a^3 + b^3 = 5427$,

then find ab

(a + b)3 = a3 + b3 + 3ab(a+b)

(27)3 = 5427+ 3ab(27)

= 19683 - 5427 = 81ab

14256 = 81ab

ab = 176