Six candidates are called for interviews for one post of Principal and two posts of Vice-Principal. Only two candidates are eligible for Principal, while all six are eligible for Vice-Principal. How many possible selections are there?

There are 5 tasks and 5 persons. Task 1 cannot be assigned to persons 1 or 2. Task 2 must be assigned to either person 3 or person 4. Every person gets exactly one task. In how many ways can the assignment be made?

Two pipes, A and B, can independently fill a tank completely in 20 minutes and 30 minutes, respectively. If both pipes are opened simultaneously, how much time will they take to fill the tank completely?

A father is nine times as old as his son and the mother is eight times as old as the son. The sum of the father's and the mother's age is 51 years. What is the age of the son?

Consider the following statements:

1. A man had a wife, two sons and two daughters in his family.

2. The daughters were invited to a feast and the male members of the family went out to take part in a picnic.

3. The man's father did not return from his work.

Which of the following statements is true?

Statement:

Geeta says: “Naresh has become a better boxer since he started meditation.”

Radha replies: “Impossible. A boxer’s most important asset is his aggressiveness.”

Question: Radha's statement reflects her belief that:

Statement:
All good athletes want to win, and all athletes who want to win eat a well-balanced diet. Therefore, all athletes who do not eat a well-balanced diet are bad athletes.

Question: What is the best conclusion from the above statement?

Consider the following statements followed by two conclusions:

Statements: Some men are great. Some men are wise.

Conclusion I: Men are either great or wise.

Conclusion II: Some men are neither great nor wise.

Which one of the following is correct?

A car travels 360 km from A to B at 40 km/h and returns from B to A at 60 km/h. Find the average speed for the complete journey.

In a 500 m race, B has a 45 m head start. A wins when B is still 35 m short of the finish. Find the ratio of the speeds of A and B.

Out of 130 students appearing in an examination, 62 failed in English, 52 failed in Mathematics, whereas 24 failed in both English and Mathematics. The number of students who passed finally is

In a town, 45% population read magazine A, 55% read magazine B, 40% read magazine C, 30% read magazines A and B, 15% read magazines B and C, 25% read magazines A and C; and 10% read all the three magazines. What percentage do not read any magazine?

In a group of persons travelling in a bus, 6 persons can speak Tamil, 15 can speak Hindi and 6 can speak Gujarati. In that group none can speak any other language. If 2 persons in the group can speak two languages only and one person can speak all the three languages, then how many persons are there in the group?

Out of a total of 120 musicians in a club, 5% can play all the three instruments, guitar, violin and flute. It so happens that the number of musicians who can play any two and only two of the above instruments is 30. The number of musicians who can play the guitar alone is 40. What is the total number of those who can play violin alone or flute alone?

What is the profession of B?