Quantitative Aptitude - Arithmetic Ability Questions

A batsman makes a score of 111 runs in the 10th match and thus increases his average runs per match by 5. What will be his average after the 10th match?

Arun and Amit can do a piece of work in 9 days and 12 days respectively. If they work for alternate days and Amit starts the work first, then in how many days 35/36 parts of whole work will be completed?

If 2x2+2y2=4a the find the value of 2ax2-a+2ay2-a

In ∆DEF measure of angle E is 90°. If secD = 25/7, and DE = 1.4cm, then what is the length (in cm) of side DF?

XYZ is a right angled triangle and ∠Y = 90°. If XY = 2.5 cm and YZ = 6 cm then the circumradius of ∆XYZ is

In the given questions, two equations numbered I and II are given. Solve both the equation and mark the appropriate answer.

$$\begin{gathered} I. x2–5x –24 = 0 \\ II. 2y2+ 19y + 35 = 0 \end{gathered}$$

The LCM of 72 and 84 is:

Three clocks are designed to alarm in every hour, two hours and three hours respectively. If they all alrmed together three hours before, then after how many hours will they next alarm together?