Quantitative Aptitude - Arithmetic Ability Questions

If sinC - sinD = x, then value of x is

ΔABC is right angled at B. If m∠A = 45°, then find the value of (cosecC + 1/√3).

If 23x + 23y = 184, then what is the average of x and y?

A and B can complete a task in 1.5 days. However, A had to leave a few days before the task wascompleted and hence it took 2 days in all to complete the task. If A alone could complete the work in2.625 days, how many days before the work getting over did A leave?

A store sells a watch for a profit of 25% of the cost. Then the percentage of profit against selling price is

The standard deviation of the set {10, 11, 9, 11, 9} is

The area of the largest sphere ( in cm2) that can be drawn inside a square of side 18 cm is

In triangle PQR, C is the centroid. PQ = 30 cm, QR = 36 cm and PR = 50 cm. If D is the midpoint of QR, then what is the length (in cm) of CD?