1. A bird keeper has got P pigeons, M mynas and S sparrows.The keeper goes for lunch leaving his assistant to watch the birds.Suppose p=10, m=5, s=8 when the bird keeper comes back, the assistant informs the x birds have escaped. The bird keeper claims: "Oh no! All my sparrows are gone." How many birds flew away?

When the bird keeper comes 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?

2. A survey was taken among 100 people to find their preference of watching T.V. programmes. There are 3 channels. Given the no of people who watch.

at least channel 1

at least channel 2

at least channel 3

no channels at all

atleast channels 1 and 3

atleast channels 1 and 2

atleast channels 2 and 3

Find the no of people who watched all three.

3. Answer the following questions based on the conditions from the choices. A, B, C, D, E as described below:

(A) if a definete conclusion can be drawn from condition 1

(B) if a definete conclusion can be drawn from condition 2

(C) if a definete conclusion can be drawn from condition 1 and 2

(D) if a definete conclusion can be drawn from condition 1 or 2

(E) no conclusion can be drawn using both conditions

person 1 says N<5
Persons 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?

a)

1. No of persons who speak false being less than no of persons who tells the truth.

2. Person 2 is telling the truth.

b)

1. no of persong telling the truth is greater than no of persons telling lies

2. person 5 is telling the truth.

4. A hotel has two wings,the east wing and the west wing. Some east wing rooms but not all have an ocean view. All west wing rooms have a harbour view. The charge for all rooms is identical, except as follows :

Extra charge for all harbour view rooms on or above the 3rd floor

Extra charge for all ocean view rooms except those without balcony

Extra charge for some harbour rooms on the first two floor & some

east wing rooms without ocean view but having kitchen facilities.

Which of the following cannot be determined on the basis of the information given:

I. Whether there are any rooms without a balcony for which an extra charge is imposed.

II. Whether any room without a kitchen or a view involves an extra charge.

III. Whether two extra charges are impsed for any room.

(A) I only

(B) II only

(C) III only

(D) II and III only

(E) I, II and III

Answer :   (A)

5. There are N coins on a table and there are two players A & B. You can take 1 or 2 coins at a time. The person who takes the last coin is the loser. A always starts first.

If N=7

(a) A can always win by taking two coins in his first chAnswer :

(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

i) A can win by proper play if N is equal to

(a) 13 (b) 37 (c) 22 (d) 34 (e) 48

Answer :   (e)

II) B can win by proper play if N is equal to

(a) 25 (b)26 (c) 32 (d) 41 (e) none

III) if N<4, can A win by proper play always?

(a) Yes (b) No