Quantitative Aptitude - Arithmetic Ability Questions

If a cone is divided into two parts by drawing a plane through the midpoints of its axis, then the ratio of the volume of the 2 parts of the cone is

If XY = a+23 and YX = 13, then find the value of X2 + Y2X2 - Y2.

If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 24200, and Rs 26620 respectively, what is the rate of interest?

A and B can complete a task in 20 days, B and C can complete it in 30 days while C and A can do the same task together in 24 days. How many days will each of and C take to complete the task individually? 

What is the simplified value of (cos A + sin A)(cot A + tan A)?

In what ratio rice costing Rs 14/kg mixed with another rice costing Rs 11/kg to get the mixture costing Rs 11.6/kg?

The sum of three numbers is 252. If the first number is thrice the second and third number is two-third of the first, then the second number is

A train crosses a 550 m long platform in 36 seconds. How long was the train if it was travelling at the speed of 70 kmph?