Quantitative Aptitude - Arithmetic Ability Questions

x, y and z are real numbers. If x3 + y3 + z3 = 13, x + y + z = 1 and xyz = 1, then what is the value of xy + yz + zx?

If PA and PB are two tangents to a circle with centre O such that ∡APB = 80°. Then ∡AOP = 

The numbers x, y, z are respectively proportional to 2, 3, 5 and the sum of x, y and z is 80. If the number z is given by the equation z = ax­-8, then a is

The side BC of the ΔABC is extended to the point D. If ∠ ACD = 112° and ∠B = 3/4 ∠A, then the value of ∠B is

p3 + q3 + r3 – 3pqr = 4. If a = q + r, b = r + p and c = p + q, then what is the value of a3 + b3 + c3 – 3abc?

ΔABC is right angled at B. If m∠C = 60°, then find the value of (cotA - 1/2).

(secA - 1)/(secA + 1) is equal to?

The HCF of two numbers is 12 and their LCM is 72. If one of the two numbers is 24, then the other number is