Quantitative Aptitude - Arithmetic Ability Questions

The ratio of present ages of Ranjini and Shahid is 5:4. After 13 years the ratio of their ages will be 6:5. What is Ranjini's present age?

An equilateral triangle ABC is inscribed in a circle of radius 20√3.
The centroid of the triangle ABC is at a distance d from the vertex A. What is d equal to ?

In a triangle PQR, the side QR is extended to S. ∠QPR = 72° and ∠PRS = 110°, then the value of ∠PQR is

P and Q can do a project in 20 and 12 days respectively. In how many days can they complete 40% of the project if they work together?

Two trains, one 150 m long and the other 130m long, coming from opposite directions crosssed each other in 7.2 seconds. The sum of speed of the two trains every hour would then be

If P = 5X and Q = X, then P is how much percentage more than Q?

The mode of the data -3, 4, 0, 4, -2, -5, 1, 7, 10, 5 is

If x = 93 , y = 93 , z = 94 then the value of x2 - y2 + 10xz + 10yz is