Quantitative Aptitude - Arithmetic Ability Questions

If p and q are the roots of the equation x2 –15x + r = 0 and p –q = 1, then what is the value of r ?

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?

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?

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?

What is the simplified value of sec6 A – tan6 A – 3 sec2 A tan2 A?

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 %)?

If cosec4A -­ cosec2A = x, then value of x is?