Quantitative Aptitude - Arithmetic Ability Questions

A dealer sold an article at 6% loss. Had he sold it for Rs. 64 more, he would have made a profit of 10%. Then the cost of the article is

A can do a piece of work in 6 days working 8 hours a day while B can do the same work in 4 days working 10 hours a day. If the work has to be completed in 5 days, so how many hours do they need to work together in a day?

A can paint a house in 25 days and B can do it in 10 days. Along with C, they did the job in 6.25 days only. Then in how many days, C alone can do the job?

Cost price of an article is Rs 5800. If the loss percentage is 33%, then what is the selling price (in Rs) of the article?

If the radius of a circle is decreased to 25% of its original value, calculate the percentage decrease in the area of the circle

If sinC - sinD = x, then value of x is

In each question two equations numbered I and II are given,you haveto solve both the equation and choose the correctanswer.

$$\begin{gathered} I. 5x2+ 28x = -15 \\ II. 3y2+ 11y + 6 = 0 \end{gathered}$$

A right prism has a square base with side of base 4 cm and the height of prism is 9 cm. The prism is cut in three parts of equal heights by two planes parallel to its base. What is the ratio of the volume of the top, middle and the bottom part respectively?