Quantitative Aptitude - Arithmetic Ability Questions

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

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:

In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.

Statement I:  All bins are baskets

Statement II:  No buckets are bins

Conclusion I:  All baskets are buckets

Conclusion II:  All buckets are baskets

The age of Dr. Pandey is four times the age of his son. After 10 years , the age of Dr. Pandey will be twice the age of his son . The present age of Dr. Pandey's son is

A and B can do a piece of work in 18 days, B and C in 24 days, A and C in 36 days. Working together they can do the work in

Z’s present age is 55 years. If 11 years ago, C’s age was 1/11 of Z’s age, then after how many years C’s age will become 37 years?

Koushik can do a piece of work in X days and Krishnu can do the same work in Y days. If they work together, then they can do the work in

PQ is a diameter of a circle with centre O. RS is a chord parallel to PQ subtends an angle of 40° at the centre of the circle. If PR and QS are produced to meet at T, then what will be the measure (in degrees) of ∠PTQ?