Quantitative Aptitude - Arithmetic Ability Questions

To travel 672 km, an Express train takes 14 hours more than Rajdhani. If however, the speed of the Express train is doubled, it takes 8 hours less than Rajdhani. The speed of Rajdhani is

Two trains move from stations M and N. Both trains move towards each other at speeds of 54 km/hr and 63 km/hr respectively. When they meeteach other, the second train has travel 100 km more than the first. What is the distance (in km) between M and N

The brother is elder to his sister by 6 years. Seven years ago the product of their ages was 72. What is the age of the brother?

Vijay can do a work in 8 hours. Vijay and Puneet together can do the same work in 6 hours. Puneet and Sachin together can do the same work in 4 hours. Sachin alone can complete the same work in how many hours?

A card is drawn from a pack of 52 cards. What is the probability that either card is black or a king? 

The ratio of the sum of the salaries of A and B to the difference of their salaries is 11:1 and the ratio of the sum of the salaries of B and C to the difference of their salaries is also 11:1. If A's salary is the highest and C's is the lowest then what is B's salary (in Rs) given the total of all their salaries is Rs 1,82,000?

∆PQR is right angled at Q. If sinP = 12/13, then what is the value of tanR?

A boy starts from his house and walks at a speed of 5 km/hr and reaches his school 3 minutes late. Next day he starts at the same time and increases hisspeed by 4 km/hr and reaches 3 minutes early. What is the distance (in km) between the school and his house?