Permutation and Combination on Arithmetic Aptitude related Questions and Answers

Question 1 : 10 students are to be seated in two rows equally for the Mock test in a room. There are two sets of papers, Code A and Code B. each of two rows can have only one set of paper but different that from other row. In how many ways these students can be arranged ?
1. 2775600
2. 125600
3. 7257600
4. 1200560
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Question 2 : There are 10 person among whom two are brother. The total number of ways in which these persons can be seated around a round table so that exactly one person sit between the brothers , is equal to:
1. 2!*7!
2. 2!*8!
3. 3!*7!
4. 3!*8!
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Question 3 : In the next World cup of cricket there will be 12 teams, divided equally in two groups. Teams of each group will play a match against each other. From each group 3 top teams will qualify for the next round. In this round each team will play against each others once. Four top teams of this round will qualify for the semifinal round, where they play the best of three matches. The Minimum number of matches in the next World cup will be:
1. 54
2. 53
3. 38
4. 43
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Question 4 : If letters of the work KUBER are written in all possible orders and arranged as in a dictionary, then the rank of the word KUBER will be:
1. 67
2. 68
3. 65
4. 69
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Question 5 : The number of positive integers which can be formed by using any number of digits from 0,1,2,3,4,5 without repetition.
1. 1200
2. 1500
3. 1600
4. 1630
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Question 6 : In a party every person shakes hands with every other person. If there are 105 hands shakes, find the number of person in the party.
1. 15
2. 14
3. 21
4. 25
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Question 7 : There are 10 points in a plane out of which 4 are collinear. Find the number of triangles formed by the points as vertices.
1. 120
2. 116
3. 140
4. 20
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Question 8 : Find the number of triangles which can be formed by joining the angular points of a polygon of 8 sides as vertices.
1. 56
2. 24
3. 16
4. 8
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Question 9 : A question paper has two parts, A and B, each containing 10 questions. If a student has to choose 8 from part A and 5 from part B, in how many ways can he choose the questions?
1. 11340
2. 12750
3. 40
4. 320
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Question 10 : Three gentlemen and three ladies are candidates for two vacancies. A voter has to vote for two candidates. In how many ways can one cast his vote?
1. 9
2. 30
3. 36
4. 15
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