Prelims

Each person’s performance compared with all other persons is to be done to rank them subjectively. How many comparisons are needed in total, if there are 11 persons?

Half of the villagers of a certain village have their own houses. One-fifth of the villagers cultivate paddy. One-third of the villagers are literate. Four-fifth of the villagers are below twenty five. Then, which one of the following is certainly true?

In a group of five persons A, B, C, D and E, there is a professor, a doctor and lawyer. A and D are unmarried ladies, and do not work. Of the married couple in the Group, E is the husband. B is the brother of A and is neither a doctor nor a lawyer. Who is the professor?

How many numbers from 0 to 999 are divisible by either 5 or 7?

A person travelled a distance of 50 km in 8 hours. He covered a part of the distance on food at the rate of 4 km per hour and a part on a bicycle at the rate of 10 km per hour. How much distance did he travel on foot?

Examine the following statements:
1. All colours are pleasant
2. Some colours are pleasant
3. No colour is pleasant
4. Some colours are not pleasant
Given that the statement 4 is true, what can be definitely concluded?

Two numbers X and Y are respectively 20% ad 28% less than a third number Z. By what percentage is the number Y less than the number X?

A person X has four notes of Rupee 1, 2, 5 and 10 denomination. The number of different sums of money she can form from them is

Six persons M, N, O, P, Q and R are sitting in two rows, three in each. Q is not at the end of any row. P is second to the left of R, O is the neighbour of Q and is sitting diagonally opposite to P. N is the neighbour of R. On the basis of above information, who is facing N ?

Running at a speed of 60 km per hour, a train passed through a 1-5 km long tunnel in two minutes. What is the length of the train ?