Quantitative Aptitude - Arithmetic Ability Questions

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?

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?

The third proportional of two numbers 24 and 36 is

In the following question, select the odd letter/letters from the given alternatives.

If √(1 + cot2A) = x, then the value of x is

α and β are the roots of quadratic equation. If α + β = 8 and α – β = 2√5, then which of the following equation will have roots α4 and β4?

Select the related word/letters/number from the given alternatives.
1 : 8 :: ? :64

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