Quantitative Aptitude - Arithmetic Ability Questions

A, B and C can finish a job working alone in 12, 8 and 24 days respectively. In how many days they can finish the job if they worked together?

P alone can do a piece of work in 8 days and Q alone can do the same work in 10 days. In how many days will both together complete the same work?

What is the unit digit of the sum of first 111 whole numbers?

If a3- b3= 91 and a - b = 1, then what is the value of ab?

What is the value of Cot 45°+ 1/3 Cosec 60°?

If Rs. 2,000 is invested at the rate of 20% per annum, compounded half-yearly, then the amount after 18 months will be:

At what point does the line 3x + 2y = 12 cuts the Y-axis?

AB and AC are the two tangents to a circle whose radius is 6 cm. If ∠BAC = 60 deg, then what is the value (in cm) of √(AB2 + AC2)?