Quantitative Aptitude - Arithmetic Ability Questions

A batsman in his 12th innings makes a score of 120, and thereby increase his average by 5. The average score after 12th innings is

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?

If 3a=4b=6c and a+b+c=279 then a2+b2+c2 is equal to

The distance between two pillars is 120 metres. The height of one pillar is thrice the other. The angles of elevation of their tops from the midpoint of the line connecting their feet are complementary to each other. The height (in metres) of the taller pillar is (Use : √3 = 1.732)

A new topic named Problem Solving was also introduced and it was decided that 10% time of all topics except Arithmetic will be devoted to it. What will be the central angle (in degrees) made by Problem Solving in the new pie chart?

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 θ>0, be an acute angle, then the value of it in degrees satisfying cos2θ-3cosθ+2sin2θ=1 is

If the number 583_437 is completely divisible by 9, then the smallest whole number in the place of the blank digit will be