Quantitative Aptitude - Arithmetic Ability Questions

When a number is increased by 69, it becomes 103% of itself. What is the number?

If a - b = -5 and a2+b2=73, then find ab.

A car travels a certain distance at 70 km/h and comes back at 30 km/h. Find the average speed for total journey.

Ram cycles 5 km in the south, and turns left to travel 5 km further. From there, he takes a right turn and travels 5 km more. How far is he from his original position?

If cot(A/2) = x, then the value of x is

What is the simplified value of Sec ACot A + Tan A2 ?

What is the sum of a3+b3+c3-3abc, when the value of a=4, b=2 and c=-6?

There are three bottles of mixture of syrup and water of ratios 2:3, 3:4 and 7:5. 10 Litres of first and 21 Litres of second bottles are taken. How much quantity from third bottle is to be taken so that final mixture from three bottles will be of ratios 1:1.