Puzzles
51. Each man dances with 3 women, Each women dances with 3 men. Among each pair of men they have exactly two women in common. Find the no. of men and women.
52. A survey was taken among 100 people to find their preference of watching t.v. programmes. There are 3 channels. Given no of people who watch at least channel 1, at least channel 2,at least channel 3, no channels at all, at least channels 1 and 3, at least channels 1 and 2, at least channels 2 and 3. Find the no of people who watched all three.
53. A bird keeper has got P pigeon, M mynas and S sparrows. The keeper goes for lunch leaving his assistant to watch the birds. Suppose p=10, m=5, s=8.
a.) When the bird keeper comes back, the assistant informs that x birds have escaped. The bird keeper exclaims oh no! all my sparrows are gone. How many birds flew away.
b.) when the bird keeper come back, the assistant told him that x birds have escaped. The keeper realised that atleast 2 sparrows have escaped. What is minimum no of birds that can escape.
54. Select from the five alternatives A,B,C,D,E. At the end of each question, two conditions will be given. The choices are to filled as follows.
A: If a definite conclusion can be drawn from condition 1.
B: If a definite conclusion can be drawn from condition 2.
C: If a definite conclusion can be drawn from condition 1 and 2.
D: If a definite conclusion can be drawn from condition 1 or 2.
E: No conclusion can be drawn using both conditions.
1. Person 1 says N<5
Person 2 says n>5.
Person 3 says 3N>20
Person 4 says 3n>10
Person 5 says N<8.
What is the value of N?
55. There are N coins on a table. There are two players A&B. You can take 1or 2 coins at a time. The person who takes the last coin is the loser. A always starts first.
1. If N=7, then
a) A can always win by taking two coins in his first chance.
b) B can win only if A takes two coins in his first chance.
c) B can always win by proper play.
d) none of the above.
2. A can win by proper play if N is equal to
a) 13 b) 37 c) 22 d) 34 e) 48
Ans: E.
3. B can win by proper play if N is equal to
a) 25 b)26 c) 32 d) 41 e) none
4. if N<4, can A win by proper play always?
56. There are 4 parties A,B,C,D. There are 3 people x,y,z. X-says A or D will win. Y-says A will not win. Z-says B or D will not win. Only one of them is true. Which party won?
57. 5 persons R,S,T,U,V are contesting for a medal. Evaluation is over English, Maths, Physics, Chemistry and Hindi. Toper will get 5 marks, least will get 1 mark. No ties any where. R get 24 and won the overall medal. V gets first in Chemistry and third in Hindi, T got consistent scores in 4 subjects. Their final standings where in the alphabetical order. What was the score of S in Chemistry.
57. There are 3 types of castes, say A,B,C. A- always tells truth, B- always false, C- alternating.
X says --> Z is of C type, I am of A type.
Y says --> X is a B type.
Z says --> X is of B type.
Who is of which type?
58. Persons A and B. Person A picks a random no. from 1 to 1000. Then person B picks a random no. from 1 to 1000. What is the probability of B getting no. greater then what A has picked?
59. Three boys and three girls brought up together. Jim, Jane, Tom, Virgina, Dorthy, XXX. They marry among themselves to form three couples. Conditions are:-
i) Sum of their ages would be the same.
ii) Virgina was the oldest.
iii) Jim was dorthy's brother.
iv) Sum of ages Jane+Jim and Tom+dorthy is same.
Give the three couples.
60. X^(1/3) - X^(1/9) =60. Solve for X.