Quantitative Aptitude - Arithmetic Ability Questions

2sin[(C+D)/2].cos[(C­-D)/2] is equal to

The slope of the line passing through the points (7,-2) and (x,1) is -3/10. Find x.

The average height of A, B and C is 148 cm. If the average height of A and B is 136 cm and that of B and C is 125 cm, then what is the height (in cm) of B?

In ΔABC, ∠B=90 deg and BC= √3 AB. Find the measurement of ∠A

In the given figure, PQ is the diameter of the circle. What is the measure (in degrees) of QSR?

The difference between Peter and Preeti's ages is 5 years. When they married each other 35 years ago, 4 times Peter's age was the same as 5 times the age of Preeti. What is the current sum of their ages?

A person purchased 10 shirts costing Rs 150 per shirt. Next day  he again purchased the shirts costing Rs 150 per shirt at a discount of Rs 30 per shirt and that day he spent a toal of Rs 1800. What is the average cost per shirt (in Rs)?

It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is: