(i) There is a group of six persons A, B, C, D, E and F from a family. They are Psychologist, Manager, Lawyer, Jeweller, Doctor and Engineer.

(ii) The doctor is the grandfather of F who is a Psychologist.

(iii) The manager D is married to A.

(iv) C, the Jeweller is married to the Lawyer.

(v) B is the mother of F and E.

(vi) There are two married couples in the family.

Which of the following is one of the pairs of couples in the family

**Answer: **C

Given F is a psychologist.

B is the mother of F and E is the brother or sister of F.

There are only two married couples in the family. Since, D is married to A, so C, the jeweller, who is married to a lawyer, will be married to B.

Again, the Manager D is married to A means A is the doctor and Grandfather of F and E.

Also, no one else is an Engineer. So, E must be an Engineer.

Clearly, D, the manager is married to A. So, AD is one of the couples in the family.

Hence, the answer is (c).

What is the profession of A ?

**Answer: **A

Given F is a psychologist.

B is the mother of F and E is the brother or sister of F.

There are only two married couples in the family. Since, D is married to A, so C, the jeweller, who is married to a lawyer, will be married to B.

Again, the Manager D is married to A means A is the doctor and Grandfather of F and E.

Also, no one else is an Engineer. So, E must be an Engineer.

Clearly, A who is the grandfather of D is the doctor. Hence, the answer is (a)

How many male members are there in the family ?

**Answer: **E

Given F is a psychologist.

B is the mother of F and E is the brother or sister of F.

There are only two married couples in the family. Since, D is married to A, so C, the jeweller, who is married to a lawyer, will be married to B.

Again, the Manager D is married to A means A is the doctor and Grandfather of F and E.

Also, no one else is an Engineer. So, E must be an Engineer.

Since nothing is mentioned about E and F, so the number of males cannot be determined.

Hence, the answer is (e).

How is A related to E ?

**Answer: **D

Given F is a psychologist.

B is the mother of F and E is the brother or sister of F.

There are only two married couples in the family. Since, D is married to A, so C, the jeweller, who is married to a lawyer, will be married to B.

Again, the Manager D is married to A means A is the doctor and Grandfather of F and E.

Also, no one else is an Engineer. So, E must be an Engineer.

Clearly, A is the grandfather of F and E is the brother or sister of F.

So, A is the grandfather of E. Hence, the answer is (d).

What is the profession of E ?

**Answer: **E

Given F is a psychologist.

B is the mother of F and E is the brother or sister of F.

There are only two married couples in the family. Since, D is married to A, so C, the jeweller, who is married to a lawyer, will be married to B.

Again, the Manager D is married to A means A is the doctor and Grandfather of F and E.

Also, no one else is an Engineer. So, E must be an Engineer.

Clearly, E is an Engineer. So, the answer (e).

From amongst six days A, B, C, D, E, and F and five girls P, Q, R, S and T, a team of six is to be selected under the following coditions :

(i) A and D have to be together.

(ii) C cannot go with S.

(iii) S and T have to be together.

(iv) B cannot be teamed with E.

(v) D cannot go with P.

(vi) B and R have to be together.

(vii) C and Q have to be together.

If four members have to be girls, the members of the team are

**Answer: **B

n four girls, S and I are taken together. With S, C cannot be there. So, Q will not be there.

If P is included, D and hence A cannot be there.

If R is included, B will be there and hence E cannot be there.

So, only F can be there.

Thus, the team is S T P R B F. So, the answer is (b).

If four members including E have to be boys, the members other than E are :

**Answer: **B

If E is included, B cannot be included. A and D have to be together. So, they are both included. Without B, R will not be there. With D, P cannot be there. So, two girls together can be only S and T. If S is there, C cannot be there. So the fourth boy can be F alone.

Thus, the team becomes E A D S T F. So, the answer is (b).

If the team including C consists of four boys, the members of the team other than C are :

**Answer: **B

If team contains C, Q will be include. If another girl include is R, B will be there and hence E cannot be there.

A and D have to be together. So, they are also included and only F can be excluded. Thus, the team is C Q R B A D.

So, the answer is (b).

If including P, the team has three girls, the members are :

**Answer: **A

If P is included, D and hence A cannot be included.

If Q is selected, C has to be selected and so S cannot be selected.

T goes with S. So, T is also not selected.

The third girl can be R. With R, B will be selected but with B, E cannot be selected. So, the sixth member can be F only. i.e, the team become P Q C R B F. So, the answer is (a).

If there be five boys in the team, the lone girl member is :

**Answer: **B

In a term of six if five boys are to be selected then both A and D together are selected.

If C is selected, a girl Q will be selected.

From B and E, one has to be selected. So, we select E because B will be accompanied by a girl.

The fifth boy will be F. So, the only girl will be Q in the team A C D E F G.

Hence, the answer is (b).

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