Quantitative Aptitude - Arithmetic Ability Questions

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

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

If the perimeter of a semicircle is 36 cm, then find its area (in cm2).

Marked price of an item is Rs 900. On purchase of 2 items discount is 16%, on purchase of 5 items discount is 44%. Raksha buys 7 items, what is the effective discount?

A sum of Rs. 69 was divided between Jason and Ruhana in the ratio 1:2. How much money did Ruhana get?

If cos 27° = x, the value of tan 63° is

A mixture of 240 litres of juice and water contains 15% water. How much more water (in litres) should be added to this so that the strength of water will become 25% in the new mixture?

If 177 is divided into 3 parts in the ratio 1/2 : 2/3: 4/5, then the second part is

Average of the marks of 132 students of a college is 40. If the average of the marks of the passed students is 42 and the average of the marks of the failed students is 20, then what will be the respective ratio of the total marks of passed students and the total marks of failed students?