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When a meeting of the liaison committee was over ,every member shook hands with one another and the total number of handshakes was 6. How many members were there in the meeting?

When a meeting of the liaison committee was over ,every member shook hands with one another and the total number of handshakes was 6. How many members were there in the meeting? Correct Answer 4

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At the beginning of a party, each person present shook hands with all other people present and there were in all 45 handshakes. In the midst of the party, 2 persons left due to an emergency. Now, the number of males and females present in the party was equal. At the end, each female shook hands only with every female present and each male shook hands only with every male present. What is the total number of handshakes that took place at the party?
Nine individuals - Z, Y, X, W, V, U, T, S and R - are the only candidates, who can serve on three committees-K1, K2 and K3, and each candidate should serve on exactly one of the committees. Committee K1 should consist of exactly one member more than committee K2. It is possible that there are no members in committee K3. Among Z, Y and X none can serve on committee 10. Among W, V and U none can serve on committee K2. Among T, S and R none can serve on committee K3. In case committee K2 is served by T and Z only, how many of the nine individuals should serve on committee K3?  Of the nine individuals, the largest number that can serve together on committee K3 is:
Five members were present at a board meeting. Each member shook hands with all of the other members before the meeting. How many handshakes took place?
Nine individuals - Z, Y, X, W, V, U, T, S and R - are the only candidates, who can serve on three committees-K1, K2 and K3, and each candidate should serve on exactly one of the committees. Committee K1 should consist of exactly one member more than committee K2. It is possible that there are no members in committee K3. Among Z, Y and X none can serve on committee 10. Among W, V and U none can serve on committee K2. Among T, S and R none can serve on committee K3. In case committee K2 is served by T and Z only, how many of the nine individuals should serve on committee K3? 
At a party , everyone shook hands with everybody else. There were 66 handshakes . How many people were there in the party ?
At a party, everyone shook hands with everybody else. If there were 66 handshakes, how many people were at they party?
The average age of a family having three members is 40 years. The smallest member of the family is 18 years old. The difference between the age of the oldest family member and the age of the second oldest family member is 6 more than the difference between the age of the second oldest member and age of youngest member of the family. Quantity I: 25 years hence, what will be the average of the age of smallest member and that of oldest member of the family? Quantity II: What is the age of the oldest member of the family?   
Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. Two person X and Y together can make 25% of total number of bricks in 4.8 days. Another person Z can make 50 bricks in a day. What is the time taken by person X and Z together to make the total number of bricks? I. Dimensions of a brick is (3cm × 4cm × 5cm) while the dimension of a cuboids when all the bricks are put together is (72cm × 80cm × 50cm) and ratio of number of days taken by X and Y alone to make the total number of bricks is 3 : 2. II. The total number of bricks is 4800 and person Y can make 150 bricks in day. III. Total volume of all the bricks together is 1.008m3 and dimension of a bricks is (5cm × 6cm × 7cm) and time taken by Z to make total number of bricks is 200 % more than the total time taken by person Y to make total number of bricks.
On the occasion of a certain meeting each member gave shake hand to the remaining members. If the total shake hands were 210, how many members were present for the meeting? 
A two member committee comprising of one male and one female member is to be constitute out of five males and three females. Amongst the females. Ms. A refuses to be a member of the committee in which Mr. B is taken as the member. In how many different ways can the committee be constituted ?