Quantitative Aptitude - Arithmetic Ability Questions

X, Y and Z can do a piece of work in 30, 40 and 50 days respectively. All three of them began the work together but Y left 4 days before completion of the work. In how many days was the work completed?

What is the Compound interest on Rs. 5000 in 3 years, if the rate of interest is 4% for the first year, 3% for the second year and 2% for the third year?

If the length of the side of an equilateral triangle is 8 cm, what is its area?

If the standard deviation of a population is 10, what would be the population variance?

If (x+a) is the H.C.F of 2x2+5x-12 and x2+x-12 then find the value of a.

Find the odd word/letters/number from the given alternatives.

In the given figure, O is the centre of the circle and QOR = 50 deg, then what is the value of RPQ (in deg) ?

In the question given below, two equations are provided. Solve the equations and establish the relationship between x and y

$$\begin{gathered} I. 2x2-13x-189=0 \\ II. 2y2-3y-189=0 \end{gathered}$$