Quantitative Aptitude - Arithmetic Ability Questions

A and B can do a piece of work in 24 and 30 daysrespectively. Both started the work and worked for 6 days.Then B leaves the work and C joins and the remaining workis completed by A and C together in 11 days. Find the days in which C alone can do the work

In the given figure, in triangle STU, ST = 8 cm,TU = 9 cm and SU = 12 cm. QU = 24 cm, SR = 32 cm and PT = 27 cm. What is the ratio of the area of triangle PQU and area of triangle PTR?

A bookseller bought 500 text books for  20,000. He wanted to sell them at a profit so that he get 50 books free. At what profit percent should he sell them?

In each of the following questions two equations I and II are given. Solve both the equations and give answer:
$$\begin{gathered} I. x2+2x-195=0 \\ II. y2+30y+225=0 \end{gathered}$$

Mahanath works 2 times as fast as Sahay. If Sahay can complete a job alone in 21 days, then in how many days can they together finish the job?

On a certain principal if the Simple interest for two years is Rs 3000 and Compound interest for the two years is Rs 3225, what is the rate of Interest?

In the given figure, PQ is a diameter of the semicircle PABQ and O is its center. AOB = 64 deg. BP cuts AQ at X. What is the value (in deg) of AXP?

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