Quantitative Aptitude - Arithmetic Ability Questions

If each median of an equilateral triangle has a length of 12cm. Then what will be the value of in-radius (in cm) of the equilateral triangle?

The sum of twice a number and thrice its reciprocal is 25/2. What is the number?

A can do a work in 36 days and B in 12 days. If they work on it together, then in how many days will they be able to do the work?

If A, B and C together do a job in 4 days, A and C together do the job in 4.5 days and B and C together do the job in 12 days then in how many days can C alone do the job?

On a machine there is 10% trade discount on the marked price of Rs 2,50,000. But the machine is sold at Rs 2,16,000 after giving a cash discount. How much is this cash discount (in %)?

In the question given below, two equations are provided. Solve the equations and establish the relationship between x and y

$$\begin{gathered} I. 2x2-13x-189=0 \\ II. 2y2-3y-189=0 \end{gathered}$$

In the following question, select the odd word from the given alternatives.

If x(2x + 3) = 90 and 7y-1/2+ 2y-1/2= y1/2 (x and y are positive numbers), then what is the value of x2+ y2?