There are 30 people in a group. If all shake hands with one another , how many handshakes are possible?

Related Mcqs:

1. The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally?

   A. 4
   B. 5
   C. 6
   D. 7

2. The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?

   A. Rs. 25
   B. Rs. 18
   C. Rs. 15
   D. Rs. 22

3. The average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 78 kg and 93 kg join the group. Find the initial number of members in the group?

   A. 21
   B. 22
   C. 23
   D. 24

4. A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group?

   A. 300
   B. 600
   C. 750
   D. 900

5. A group consists of 4 men, 6 women and 5 children. In how many ways can 3 men, 2 women and 3 children selected from the given group?

   A. 300
   B. 450
   C. 600
   D. 750

6. A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?

   A. ¹²C₅ * 10
   B. ¹²C₇ * 10
   C. ¹²C₇ * ¹⁰C₅
   D. 12 * ¹⁰C₅

7. A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior?

   A. ²²C₁₀
   B. ²²C₁₀ + 1
   C. ²²C₉ + ¹⁰C₁
   D. ²²C₁₀ – 1

8. A group of people has provisions for 29 days for 24 men. If after 4 days 1/6 of them desert then food will last for?

   A. 25 days
   B. 28 days
   C. 30 days
   D. 32 days

9. At an inn there are provisions sufficient for 20 days for 40 people. At the end of every 10 days 5 people leave off. How many days the provision will be sufficient for new?

   A. 20
   B. 40
   C. 30
   D. none

10. A question paper had 10 questions. Each question could only be answered as true(T) of False(F). Each candidate answered all the questions, Yet no two candidates wrote the answers in an identical sequence. How many different sequences of answers are possible?

    A. 20
    B. 40
    C. 512
    D. 1024