Quantitative Aptitude - Arithmetic Ability Questions

Among three numbers , second is twice the first and also thrice the third . If the average of the three numbers is 33 , then the largest number is

The sum of squares of three positive integers is 323. If the sum of squares of two numbers is twice the third, their product is

The distance between two cities X and Y is 270 km. First train starts from X at 7:00 a.m. and travels towards Y at 40 km/hr. Second train starts from Y at 8:30 a.m. and travels towards X at 30 km/hr. At what time (in a.m.) will both the trains meet?

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

If the average age of four children is 12 years and the average age of these children and their fathers is 20 years, what is the age of the father?

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? 

The sum of a non-zero number and its reciprocal is 2. What is the number?

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