Quantitative Aptitude - Arithmetic Ability Questions

In the given figure, SX is tangent. SX = OX = OR. If QX = 3 cm and PQ = 9 cm, then what is the value (in cm) of OS?

The ratio of present ages of P and Q is 7:9. Before 10 years the ratio of their ages was 5:7. What is Q's present age (in years)?

50 men can complete a work in 28 days. They started the work together, but at the end of each 10th day, 10 men left the job. The work was completed in how many days?

If the radius of a circle is increased by 14% its area increases by

The perimeter of a rectangle whose length is 6 metre more than its breadth is 84 metre. What is the area of the triangle whose base is equal to the diagonal of the rectangle and height is equal to the length of the rectangle?

Find the HCF of 865 and 2595.

If Cos θ = 35/37, then what is the value of Cosec θ?

In a match of 50 overs, team A’s average runs for first thirty overs was 4.5 runs/over while for the remaining 20 overs the average was 5.5 runs/over. Team B chased the target and lost by 10 runs. Find the average runs per over scored by team B. (team B played all the 50 overs).