Quantitative Aptitude - Arithmetic Ability Questions

The surface areas of three faces of a cuboid sharing a vertex are 20, 32 and 40 sq. mts. What is the volume of the cuboid in cub. m?

What is the sum of the first 9 terms of an arithmetic progression if the first term is 7 and last term is 55?

In a test, Charan secured 54 marks that was also equivalent to obtaining 72% marks. How many marks was the test out of?

What is the reflection of the point (6, -3) in the line y = 2?

What is the value of sin (B – C) cos (A – D) + sin (A – B) cos (C – D) + sin (C – A) cos (B – D)?

If x2+y2+z2-8x+6y-4z+29 = 0, then find the value of z(x+y).

Triangle PQR is inscribed in a circle such that P, Q and R lie on the circumference. If PQ is the diameter of the circle and ∠PQR = 40°, then what is the value (in degrees) of ∠QPR?

In ΔPQR, S and T are points on side PQ and PR respectively. ST is parallel to QR. If S divides PQ in the ratio 1:5 and length of QR is 15 cm, find ST?