state gov TSPSC DAO (Divisional Accounts Officer) Mock Test 2024 Quantitative Aptitude Algebra Identities
Let A = {(a, b, c)/c2 = a2 + b2}. If (3, 5, x), (y, 3, 7), (1, z, 5) are three elements of the set 'A' and the LCM of x2, y2, z2 is \(\rm p_1^{\alpha_1} p_2^{\alpha_2} p_3^{\alpha_3} p_4^{\alpha_4}\) where p1, p2, p3, p4 are primes, then \(\rm \frac{p_1+p_2+p_3+p_4}{\alpha_1+\alpha_2+\alpha_3+\alpha_4}=\)
1
\(\frac{9}{2}\)
2
\(\frac{7}{9}\)
3
\(\frac{26}{8}\)
4
\(\frac{9}{5}\)