UPSC 2004 › CSAT

Two cars X and Y start from two places A and B respectively which are 700 km apart at 9 a.m. Both the cars run at an average speed of 60 km/hr. Car X stops at 10 a.m. and again starts at 11 a.m. while the other car Y continues to run without stopping. When do the two cars cross each other?

In a question of a test paper, there are five items each under List-A and List-B. The examinees are required to match each item under List-A with its corresponding correct item under List-B. Further, it is given that

1. No examinee has given the correct answer
2. Answers of no two examinees are identical

What is the maximum number of examinees who took this test?

The magazine on science is published by

The magazine on sports is

The magazine on films is

The magazine on politics is

A and B start from the same point and in the same direction at 7 a.m. to walk around a rectangular field 400 m × 300 m. A and B walk at the rate of 3 km/hr and 2.5 km/hr respectively.

How many times shall they cross each other if they continue to walk till 1 and 2.30 p.m.?

Nine different letters are to be dropped in three different letter boxes. In how many different ways can this be done?

How many three-digit even numbers are there such that 9 comes as a succeeding digit in any number only when 7 is the preceding digit, and 7 is the preceding digit only when 9 is the succeeding digit?

In how many different ways can six players be arranged in a line such that two of them, Ajit and Mukherjee, are never together?

50 men or 80 women can finish a job in 50 days. A contractor deploys 40 men and 48 women for this work, but after every duration of 10 days, 5 men and 8 women are removed till the work is completed. The work is completed in

Three students are picked at random from a school having a total of 1000 students. The probability that these three students will have identical date and month of their birth is