Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a + b + c = 5

a3 + b3 +c3 - 3abc = 185, then

Find ab + bc + ca

Options:

-10

10

-4

3

Correct Answer:

-4

Explanation:

Put c = 0 as there are three variables and two equations.

a + b = 5

a3 + b3 = 185, find ab

⇒(a + b)3 =  a3 + b3 + 3ab(a + b)

⇒ (5)3 = a3 + b3 + 3ab(5)

⇒ 125 = 185 + 15ab

⇒ 15ab = -60

ab = -4