Quantitative Aptitude - Arithmetic Ability Questions

A shop keeper cheats to the extent of 10% while buying and selling fruits, by using tampered weights. His total gain, in %, is:

If 3(2 - 3x) < 2 - 3x ≥ 4x -6; then x can take which of the following values?

Determine the largest 4 digit number which is a perfect square.

Two pipes, when working one at a time can fill a cistern in 2 hrs and 3 hrs, respectively while a third pipe can drain the cistern empty in 6 hrs. All the three pipes were opened together when the cistern was 1/6 full. How long will it take for the cistern to be completely full?

A, B and C can complete a task together in 10 days. A and B would need 12 days if only the two of them worked, while B and C would take 20 days if only the two of them worked. If B worked alone, how many days would she take to complete the task?

Find the greatest four digit number when divided by 8, 12, 16 leaves 2 as remainder in every case?

If Sin4A - Cos4A = 1 then (A/2) in degrees is 0° < A ≤ 90°

There are 10 dozen apples, 15 dozen mangoes and 20 dozen oranges for selling. If 1/2, 1/3 and 1/4 of them are sold respectively. How many of the total fruits are remaining?