Quantitative Aptitude - Arithmetic Ability Questions

A can do a piece of work in 10 days and B can do it in 12 days. They work together for 3 days. Then B leaves and A alone continues. 2 days after that C joins and the work is completed in 2 days more. In how many days can C do it, if he works alone ?

If a + a2 + a3 – 1 = 0, then what is the value ofa3 + (1/a)?

A sum fetched a total simple interest of Rs 1200 at the rate of 7.5%/yr in 4 years. What is the sum (in Rs)?

A canteen requires 56 kgs of rice for seven days . The quantity of rice required for the months of April and May together is

A can do a piece of work in 20 days and B in 15 days. With help of C, they finish the work in 5 days. C can alone do the work in

Two trains start from a certain place on two parallel tracks in the same direction. The speed of the trains are 45 Km/hr and 40 Km/hr respectively. The distance between the two trains after 45 minutes will be

If α and β are roots of the equation 3x2 – 13x + 14 = 0, then what is the value of (α/β) + (β/α)?

What is the value of tan 7π/6?