Quantitative Aptitude - Arithmetic Ability Questions

If the equation 4x + 3y + 5 = 0 and 6x - ky - 7 = 0 have no solution, then the value of k is

A solid sphere of radius 3 cm is melted to form a hollow right circular cylindrical tube of length 4 cm and external radius 5 cm. The thickness of the tube is

The area of a square is 40.5 cm². Find the length of its diagonal (in cm).

Find the maximum area of a rectangular field which is surrounded by a rope of 100 meters?

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 14/3 + (1/2)(x - 7/3) = -2x/3, then the value of x is?

Arun and Amit can do a piece of work in 9 days and 12 days respectively. If they work for alternate days and Amit starts the work first, then in how many days 35/36 parts of whole work will be completed?

If θ be positive acute angle and 5cosθ + 12sinθ = 13, then the value of cosθ is