Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If 2p + q = 19 and 8p3 + q3 = 361, then find the value of pq.

Options:

56

59

58

57

Correct Answer:

57

Explanation:

If 2p + q = 19 and 8p3 + q3 = 361

a3 + \(\frac{1}{a^3}\) = (a + \(\frac{1}{a}\))3 – 3(a + \(\frac{1}{a}\))

361 = 193 - 3  × 19  × 2pq

2pq = 114

pq = 57