ASSIGNMENT

Questions (4 – 6)

Each of the three players – Kambli, Kumble and Krishnan – plays exactly

one game among cricket football and tennis, not necessarily in the same order.

Each player always gives two replies to any question. Out of these three

players, exactly one player always speaks the truth, one always lies, and one

always alternates between the truth and lie in any order. When each was asked

“Which game do you play?” the following were their replies.

Kambli : “I am a cricketer. Kumble is

football player.”

Kumble : “I am a cricketer. Krishnan is a

tennis player.”

Krishnan : “Kambli is a football player. Kumble

is a cricket player.”

4. Who

among the three players is a liar?

a. Kambli b.

Kumble c. Krishnan d. Cannot be determined.

5. Who

among the three players must be the tennis player?

a. Kambli b.

Kumble c. Krishnan d. Cannot be determined.

6.

Which game does Kumble play?

a. Cricket b.

football c. Tennis d. Cannot be determined.

SOLUTIONS:-

Here

we can’t determine the truth teller by taking sub cases it will be possible

FIRST

CASE:-

Assume

that kambil is speaking truth

Kambil (cricket) T T

Kumble ( foot ball) F T

Krishan ( tennis) F

F

This case is valid because

one is speaking truth

SECOND

CASE:-

Assume

that kumble is speaking truth

Kambil F F

Kumble T T

Krishan T T

This case is invalid

because here both people are speaking truth

THIRD

CASE:-

Assume

that krishan is speaking truth

Kambil F F

Kumble T T

Krishan T T

This case is invalid

because here both people are speaking truth

ANSWERS:-

1. C

2. C

3. B

Questions (7 – 9)

Each of the three friends – Dinesh, Farhan & Aakash – has a

different profession among – doctor, lawyer and professor – not necessarily in

the same order. It was known that each of them spoke at least one true

statement. When asked “Who belongs to which profession?” The following were

their replies.

Dinesh : “Aakash is professor.

Farhan is the lawyer.”

Farhan : “Dinesh is the doctor.

Aakash is not a lawyer.”

Aakash : “Farhan is the lawyer.

I am the doctor.”

7. Who

is the lawyer?

A. Dinesh b.

Farhan c. Aakash d. Cannot be determined.

8.

What is Dinesh’s profession?

A. Doctor b.

lawyer c. professor d. cannot be determined.

9.

Among the three, who speaks the truth always?

a. Dinesh b.

Farhan c. Aakash d. Cannot be determined.

SOLUTIONS:-

FIRST

CASE:-

Assume

that dinesh is speaking truth

Dinesh (doctor) T T

Farhan (Lawyer) T T

Aakash (Professor) T F

This case is valid because

here both people are speaking truth

SECOND

CASE:-

Assume

that dinesh is speaking truth

Dinesh (doctor) T T

Farhan (Lawyer) T T

Aakash (Professor) T F

This case is invalid

because here there is not possible of only one true

THIRD

CASE:-

Assume

that dinesh is speaking truth

Dinesh (doctor) F T

Farhan (Lawyer) F T

Aakash (Professor) T T

This case is valid because

here one statement is false and another statement is true

ANSWERS:-

4.

B

5.

D

6.

D

Questions (10 –

12)

Among the four members of the family – K, L, M & N – there is one

couple, their son and their daughter. When asked about their relationships, the

following were their replies.

K : “N is my husband. M is my daughter.”

L : “K is my mother. M is my son.”

M : “K and L are of the same gender. L is

my sister.”

N : “L is of the same gender as I. M is

my son.”

It was

also known that only one of them always speaks the truth.

10.

Among the four, who cannot be the truth teller.

a.K b.

L c. M d. Cannot be determined.

11.

Among them, if there are two persons who always speak lies, then who always

speaks the truth.

a.K b.

M c. N d. Cannot be

determined.

12.

Among them, if there are two persons who always alternate between the truth

& lies, then who speaks the truth always.

a.K b.

L c. M d. Cannot be

determined.

SOLUTIONS:-

FIRST CASE:-

Assume k is the truth teller

K(wife) T T

L(son)

T F

M (daughter) F F

L (husband) T F

This case is valid because

here only one truth

SECOND CASE:-

Assume l is the truth teller

K

L T T

M

L

This case is invalid

because here only one truth

THIRD CASE:-

Assume m is the truth teller

K(wife)

T F

L(daughter)

T F

M (son)

T T

N (husband)

T T

This case is valid because

here only one truth

FOURTH CASE:-

Assume n is the truth teller

K(husband)

F F

L(daughter)

F F

M (son) F T

N (wife) T T

This case is valid because

here only one truth

ANSWERS:-

7.

B

8.

C

9.

D