Quantitative Aptitude - Arithmetic Ability Questions

If A = 30°, B = 60° and C = 135°, then what is the value of sin3A + cos3B + tan3C – 3sin A cos B tan C?

If 1/(cosecA ­ cotA) = x, then the value of x is

In the given figure, OX, OY and OZ are perpendicular bisectors of the three sides of the triangle. If QPR = 65 deg and PQR = 60 deg, then what is the value (in deg) of QOR + POR ?

A runner starts running from a point at 6:00 am with a speed of 8 km/hr. Another racer starts from the same point at 8:30 am in the same direction with speed of 10 km/hr. At what time of the day (in p.m.) will the second racer will overtake the other runner?

35 persons are engaged to complete a work in 60 days. After 32 days it is observed that only (2/5)th part of the work has been done. The number of persons to be engaged to complete the remaining work in the said period is

Three bottles of equal capacity have mixture of milk and water in ratio 5 : 7, 7 : 9 and 2 : 1 respectively. These three bottles are emptied into a large bottle. What is the percentage of milk in the new mixture?

In what ratio should coffee powder costing Rs 2500/kg be mixed with coffee powder costing Rs 1500/kg so that the cost of the mixture is Rs 2250/kg?

Arrange the fractions 34,512,1316,1629,38 in their ascending order of their magnitude?