Quantitative Reasonoing Permutation and Combination Test 1 Online

1. Eight chairs are numbered from 1 to 8. Two women and three men wish to occupy one chair each. First, the women chose the chairs from amongst the chairs marked 1 to 4. Then the men selected the chairs from amongst the remaining, marked 5 to 8. The number of possible arrangements is?

2. There are 6 equally spaced points A,B,C,D,E & F marked on a circle with radius R. How many convex pentagons of distinctly different areas can be drawn using these points as vertices?

3. To fill a number of vacancies, an employer must hire 3 programmers from among 6 applicants, and managers from among 4 applicants. What is the total number of ways in which she can make her selection?

4. In a hockey championship, there were 153 matches played. Every two teams played one match with each other. The number of teams participating in the championship is?

5. Ten different letters of an alphabet are given. Words with 5 letters are formed from these given letters. Then the number of words which have at least one letter repeated is?

6. There are three prizes to be distributed among five students. If no students gets more than one prize, then this can be done in?

7. Ten points are marked on a straight line and eleven points are marked on another straight line. How many triangles can be constructed with vertices from among the above points?

8. A student is to answer 10 out of 13 questions in an examination such that he must choose at least four from the first five questions. The number of choices available to him is?

9. Amit Kumar got a 4-digit pass code (which is formed out of the digits 0,1,2,3,4,5,6,7,8,9) of his ATM card from ICIC Bank. But after the 50^th day he lost the pass code the pass code and also forgot the number. How many maximum number of trials may he have to take to get the right number? 0 can be the beginning of the code number.

10. In an examination paper there are two groups, each containing 4 questions. A candidate is required to attempt 5 questions. A candidate is required to attempt 5 questions but not more than questions from any group. In how many ways can 5 questions be selected?

11. If there are 3 different roads from Delhi to Mumbai and 4 different roads from Mumbai to Chennai, then how many roads are there from Delhi to Chennai that go through Mumbai?

12. The number of rectangles that you can find on a chessboard is?