Quantitative Aptitude - Arithmetic Ability Questions

A can paint a house in 55 days and B can do it in 66 days. Along with C, they did the job in 12 days only. Then, C alone can do the job in how many days?

Working together A and B can do a job in 40 days, B and C in 36 days and all three together in 24 days. In how many days can B alone do the job?

If θ is positive acute angle and 4sin2θ = 3, then the value of tan θ - cot θ/2 is

The LCM and HCF of two numbers are 4284 and 32, respectively. If one of the numbers is 672, then the second number is;

If  tan2θ + cot2θ = 2, then what is the value of 2sec θ cosec θ?

Amit can complete a work in 25 days and Punit can complete the same work in 20 days. Punit alone worked at it for 10 days and then left the work. In how many days will Amit alone complete the remaining work?

If a merchant offers a discount of 20% on the list price, then he makes a loss of 10%. What % profit or % loss will she make if he sells at a discount of 5% of the list price?

The difference between compound interest compoundedevery 6 months and simple interest after 2 years is 248.10.The rate of interest is 10 percent. Find the sum