Quantitative Aptitude - Arithmetic Ability Questions

If the expression px3 – qx2 – 7x – 6 is completely divisible by x2 – x – 6, then what is the value of p and q respectively?

A solid copper sphere of radius 9 cm is melted and reformed into a wire of radius 1 mm. What will be the length of this wire? (Take π = 22/7)

What number should be added to each of the numbers 35, 115, 53 and 165, so that the resulting numbers are in continued proportion?

Tapas, Avi and Rishi shared a cake. Tapa had 1/2 of it, Rishi had 1/3 of it, and Avi had the rest. What was Avi's share of the cake?

What is the value of 2+2+2+2.......

The average of 44 consecutive odd numbers is 144.What is the largest number?

A grocer had 1600 kgs of wheat. He sold a part of it at 20% profit and the rest at 12% profit, so that he made a total profit of 17%. How much wheat (in kg) did he sell at 20% profit?

If 3sinθ+4cosθ=5 (0<θ<90°) then the value of sinθ is