Quantitative Aptitude - Arithmetic Ability Questions

The difference between the selling prices of an article sold at 4% and 3% profits is Rs.3 The cost price of the article is :

What is the value of cos [(180 – θ)/2] cos [(180 – 9θ)/2] + sin [(180 – 3θ)/2] sin [(180 – 13θ)/2]?

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 man sells an article at a profit of 35%. If he had bought it for 15% less price and sold it for Rs. 32 less, then he would have gained 40%. What is the initial cost price (in Rs) of the article?

Divide 13,680 in three parts such that 1st part is 3/5th of the third part and the ratio between 2nd and 3rd part is 4:7. How much is the first part?

If cosec ­4π/3 = x, then the value of x is

D sells a table to E at a profit of 30% and E sells it to F at a loss of 30%. What is the ratio of cost prices of D and F?

A vendor buys some lemons at the rate of 11 for Rs 10 and sells at the rate of 4 for Rs 5. What will be the result?