Quantitative Aptitude - Arithmetic Ability Questions

What is the value of [sin (90 – A) + cos (180 – 2A)]/[cos (90 – 2A) + sin (180 – A)]?

If sin π/6 + sec π/6 = x, then x is

Which single discount will be equal to two successive discounts of 12% and 5%?

The perimeter and the breadth of a rectangle are 60 cm and 14 cm respectively. Find its area (in cm²)

A cylindrical vessel of radius 6 cm is partially filled with water. By how much will the water level rise if a sphere of radius 5 cm is completely immersed in this water? (Take π = 22/7)

The ratio of the volume of two cylinders is 7 : 3 and the ratio of their heights is 7 : 9. If the area of the base of the second cylinder is 154 sq. cm, then what will be the radius (in cm) of the first cylinder?

X does 25% of a work in 20 days. Y joins X and they together finish the remaining work in 15 days. Y alone can do the whole work in ___ days.

When 0.151515.....is converted into a fraction, then the result is