Quantitative Aptitude - Arithmetic Ability Questions

If the parallel sides of a trapezium are 8 cm and 4 cm, M and N are the mid points of the diagonals of the trapezium, then length of MN is

What is the value of sin ­7π/4c?

A water tank is 2/5 th full. Inlet A can fill the tank in 12 minutes while an outlet pipe B can empty it in 6minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?

Dealer purchased an article for Rs. 900 and fixes the list price in such a way that he gains 20% after allowing 10% discount, then the list price is

What is the simplified value of (cotA + tan B)/(cot B + tan A)?

A watch shows 6 p.m. where the hour hand points east. In which direction is the minute hand facing when the time is 9.15 p.m?

If (X/4) = (Y/5) = (Z/9), then what is X : Y : Z?

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

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