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Set 1

Five people A, B, C, D and E went for shopping. Each of them bought a certain number of shirts and

trousers. They found something peculiar about the number of items they bought-all were prime

numbers and only five numbers were involved. No two of them had the same number of shirts and

trousers. No person had the same number of shirts and trousers. Further, we know that

Number of trousers bought by B is greater than the number of trousers bought by E.

Number of trousers of E and number of shirts of D are same.

B had the same number of trousers as the number of shirts of E.

Number of shirts of B is equal to number of trousers of A.

A had bought the maximum number of garments, 90 of them.

E had bought 68 garments which was 10 less than the number bought by C.

One of them had 84 garments

1)No of shirts bought by B

a)53 b) 23 c)47 d) none

2)No of trousers bought by C

a)67 b)43 c) 53 d) none

3)Who had bought minimum number of garments

a)B b)C c)D d) E

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Set 2

Four boys Abhay, Bharat, Chandu and David are inhabitants of an island, studying in a different class

among 7th, 8th, 9th and 10th; not necessarily in the same order. In that island, each person belongs

to one of the categories: Truth-tellers (who always speak the truth), Liars (who always lie) and

alternators(who alternates between true and false statements). When asked about their studies and

categories, they made the following statements:

Abhay- David is not a truth teller Chandu is not studying in 9th

I am studying in 7th

Bharat- Chandu is not a truth teller Abay is studying in 8th

David is not studying in 9th

Chandu - Bharat is studying in 8th

Bharat is a lair Abhay is not in 10th

David- Abhay is not an alternative Bharat is studying in 10th

Chandu is not in 8th

Q1. Who is studying in class 10th?

a. Abhay b. Bharat c. Chandu d. Canot be determined

Q2. Who amongst them is/are (an)alternator(s)

a. Only Abhay b. Only Bharat c. Only Chandu d. Only David

Q3. How many of Abhays statement are true?

a. 3 b. 2 c. 1 d. 0

Q4. In which class did David study?

a. 10th

b. 9th

c. 8th

d. 7th

Q5. What is the difference between the total no. of true and false statements:

a. 4 b. 2 c. 0 d. Cannot be determined

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Set 3

Person x and y have the following conversation:

x: I forgot how old your three kids are.

y: The product of their ages is 36.

x: I still don't know their ages.

y: The sum of their ages is the same as your house number.

x: I still don't know their ages.

y: The oldest one has red hair.

x: Now I know their ages!

What are the ages of the children?

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Set 4

Seven faculty members at a management institute frequent a lounge for strong coffee and

stimulating conversation. On being asked about their visit to the lounge last Friday we got the

following responses.

JC: I came in first, and the next two persons to enter were SS and SM. When I left the lounge, JP and

VR were present in the lounge. DG left with me.

JP: When I entered the lounge with VR, JC was sitting there. There was someone else, but I cannot

remember who it was.

SM: I went to the lounge for a short while, and met JC, SS, and DG in the lounge that day.

SS: I left immediately after SM left.

DG: I met JC, SS, SM, JP, and VR during my first visit to the lounge. I went back to my office with JC.

When I went to the lounge the second time, JP and VR were there.

PK: I had some urgent work, so I did not sit in the lounge that day, but just collected my coffee and

left, JP and DG were the only people in the lounge while I was there.

VR: No comments.

1) Based on the responses, which of the two, JP or DG, entered the lounge first?

a. JP b. DG c. Both entered together d. Cannot be deduced.

2) Who was sitting with JC when JP entered the lounge?

a. SS b. SM c. DG d. PK

3) How many of the seven members did VR meet on Friday in the lounge?

a. 2 b. 3 c. 4 d. 5

4) Who were the last two faculty members to leave the lounge?

a. JC and DG

b. PK and DG

c. JP and PK

d. JP and DG

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Set 5

Five persons A, B, C , D and E who are form different countries: Australia, England, New Zealand,

West Indies and Zimbabwe, not necessarily in the same order , came to India. Amar knew that they

came from these countries, but he does not know who came from which country. He asked them

about the countries they are form. In reply, each of them made exactly three statements. Except

one, all other four made at least one false statement. Except one person all other made at least one

true statement. Exactly one person alternates between true and false statements in any order i.e.

the persons statements are true, false and true respectively or false, true and false, respectively.

The statements made by them are as follows:

A: C is from West Indies B is from New Zealand E is from Zimbabwe

B: D is from Australia E is from New Zealand C is from England

C: D is from England E is from New Zealand I am from West Indies

D: A is from New Zealand B is from Zimbabwe E is from West IndiesE: B is from England A is from Australia D is from Zimbabwe

Q1. Who is the liar?

A B C D

Q2. Who is the truth-teller?

A C D E

Q3. Who is the alternator?

B C D E

Q4. In all, how many true statements did they make?

6 7 8 9

Q5 Who among the following is one of the persons, who is not a truth-teller or a liar or an

alternator?

A B D E