Quantitative Aptitude - Arithmetic Ability Questions

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 4:1 and length of QR is 15 cm,what is the length of ST?

Find the HCF & LCM of 16, 24.

Find the value of  x3 - y3, if x - y = 4 and xy = 12.

Select the odd word/letters/number/number pair from the given alternatives.

If 4x - 5y = -37 and 7x + y = -16, then x - y = ______

Find the total surface area (in cm2 ) of a hemisphere of diameter 42 cm.

If x + y + z = 0, then what is the value of (3y2 + x2 + z2 )/(2y2 – xz)?

The ratio of two positive numbers is 3:4. The sum of their squares is 400. What is the sum of the numbers?