Quantitative Aptitude - Arithmetic Ability Questions

If (1/cos θ) – (1/cot θ) = 1/P, then what is the value of cos θ?

If A/3 = B/2 = C/5, then what is the value of ratio (C + A)2 : (A + B)2 : (B + C)2?

A and B together can complete a task in 12 days. However, if A works alone, completes half the job and leaves and then B works alone and competes the rest of the work, it takes 25 days in all to complete the work. If B is more efficient than A, how many days would it have taken B to do the work by herself?

56/32 simplified value?

What would be the smaller of the two angles formed by the hour hand and the minute hand at 3:47 p.m?

In the figure, B and C are the centres of the two circles. ADE is the common tangent to the two circles. If the ratio of the radius of both the circles is 3:5 and AC= 40, then what is the value of DE?

You went to buy 3 articles worth Rs.500 each. However, as per the discount sale going on in the shop, you paid for two and got one free. What is the discount percentage in the deal?

If x = 222, y = 223, z = 225 then the value ofx3 + y3 + z3 - 3xyz is