Quantitative Aptitude - Arithmetic Ability Questions

In triangle XYZ, G is the centroid. If XY = 11 cm, YZ = 14 cm and XZ = 7 cm, then what is the value (in cm) of GM ?

What is the measure of central angle of the arc whose length is 11 cm and radius of the circle is 14 cm?

If a merchant offers a discount of 20% on the list price, then he makes a loss of 10%. What % profit or % loss will she make if he sells at a discount of 5% of the list price?

The average weight of 35 apples is 50 grams. If some apples of weight 40 grams each were removed, then average weight becomes 57.5 grams. How many apples of weight 40 grams were removed?

A can finish a work in 7 days . B can finish the same work in 9 days . The days required to finish the work by both of them together.

If P=9, Q=17 then the value of p2-q2-13

A ladder is resting against a vertical wall and its bottom is 2.5 m away from the wall. If it slips 0.8 m down the wall, then its bottom will move away from the wall by 1.4 m. What is the length of the ladder?

cot2A + cos2A is equal to