CUET Preparation Today
CUET
General Aptitude Test
Quantitative Reasoning
Algebra
If 2p + q = 19 and 8p3 + q3 = 361, then find the value of pq.
56
59
58
57
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
