Persons - Rahul, Ravi, Ramesh, Rajesh, Ram, Rohit, Raja and Raj.

Months - January, February, May, July, September, October, November and December.

Sports - Cricket, Football, Volleyball, Chess, Carrom, Tennis, Squash and Snooker.

(1) Three person were born between Rahul and Rajesh, who likes volleyball. 

(2) Rajesh is not the youngest person in the group and who was born in the month of having of 30 days.

(3) Less than two person were born after Rajesh. Hence, case2 gets eliminated.

(4) One who likes volleyball is elder than one who likes Snooker.

(5) Ravi was born four  months after Rahul, who likes Cricket.

(6) Ravi, who likes football, is elder than Rohit but younger than Raj.

(7) Ram was born after Ravi but not the youngest person.

(8) Raja, who likes squash, was born before Raj but not the eldest person. 

(9) Neither Ramesh nor Ram likes tennis and Snooker.

Hence, final arrangement as follows:

Hence, Raj was born in the month of July.

Persons - Rahul, Ravi, Ramesh, Rajesh, Ram, Rohit, Raja and Raj.

Months - January, February, May, July, September, October, November and December.

Sports - Cricket, Football, Volleyball, Chess, Carrom, Tennis, Squash and Snooker.

(1) Three person were born between Rahul and Rajesh, who likes volleyball. 

(2) Rajesh is not the youngest person in the group and who was born in the month of having of 30 days.

(3) Less than two person were born after Rajesh. Hence, case2 gets eliminated.

(4) One who likes volleyball is elder than one who likes Snooker.

(5) Ravi was born four months after Rahul, who likes Cricket. 

(6) Ravi, who likes football, is elder than Rohit but younger than Raj. 

(7) Ram was born after Ravi but not the youngest person.

(8) Raja, who likes squash, was born before Raj but not the eldest person. 

(9) Neither Ramesh nor Ram likes tennis and Snooker.

Hence, final arrangement as follows :

Hence, Raj likes Tennis is true.

Persons - Rahul, Ravi, Ramesh, Rajesh, Ram, Rohit, Raja and Raj.

Months - January, February, May, July, September, October, November and December.

Sports - Cricket, Football, Volleyball, Chess, Carrom, Tennis, Squash and Snooker.

(1) Three person were born between Rahul and Rajesh, who likes volleyball. 

(2) Rajesh is not the youngest person in the group and who was born in the month of having of 30 days.

(3) Less than two person were born after Rajesh. Hence, case2 gets eliminated.

(4) One who likes volleyball is elder than one who likes Snooker.

(5) Ravi was born four months after Rahul, who likes Cricket.

(6) Ravi, who likes football, is elder than Rohit but younger than Raj.

(7) Ram was born after Ravi but not the youngest person.

(8) Raja, who likes squash, was born before Raj but not the eldest person. 

(9) Neither Ramesh nor Ram likes tennis and Snooker.

Hence, final arrangement as follows:

Hence, except Ravi all other are born in the month having 31 days.

Persons - Rahul, Ravi, Ramesh, Rajesh, Ram, Rohit, Raja and Raj.

Months - January, February, May, July, September, October, November and December.

Sports - Cricket, Football, Volleyball, Chess, Carrom, Tennis, Squash and Snooker.

(1) Three person were born between Rahul and Rajesh, who likes volleyball. 

(2) Rajesh is not the youngest person in the group and who was born in the month of having of 30 days.

(3) Less than two person were born after Rajesh. Hence, case2 gets eliminated.

(4) One who likes volleyball is elder than one who likes Snooker.

(5) Ravi was born four months after Rahul, who likes Cricket. 

(6) Ravi, who likes football, is elder than Rohit but younger than Raj. 

(7) Ram was born after Ravi but not the youngest person.

(8) Raja, who likes squash, was born before Raj but not the eldest person. 

(9) Neither Ramesh nor Ram likes tennis and Snooker.

Hence, final arrangement as follows :

Hence, four people are born between Rajesh and Raja.

Persons - Rahul, Ravi, Ramesh, Rajesh, Ram, Rohit, Raja and Raj.

Months - January, February, May, July, September, October, November and December.

Sports - Cricket, Football, Volleyball, Chess, Carrom, Tennis, Squash and Snooker.

(1) Three person were born between Rahul and Rajesh, who likes volleyball. 

(2) Rajesh is not the youngest person in the group and who was born in the month of having of 30 days.

(3) Less than two person were born after Rajesh. Hence, case2 gets eliminated.

(4) One who likes volleyball is elder than one who likes Snooker.

(5) Ravi was born four months after Rahul, who likes Cricket. 

(6) Ravi, who likes football, is elder than Rohit but younger than Raj. 

(7) Ram was born after Ravi but not the youngest person.

(8) Raja, who likes squash, was born before Raj but not the eldest person. 

(9) Neither Ramesh nor Ram likes tennis and Snooker.

Hence, final arrangement as follows:

Hence, Ramesh or Ram likes Carrom.

Given statements: B ≤ E < C, M = O > E, P ≥ O > D, D < K = P

On combining: P ≥ O > E ≥ B,  K > D < O > E < C

Conclusions:

I. B < P → True (as P ≥ O > E ≥ B → P > B) 

II. E = K → False (as K > D < O > E, thus clear relation between E and K can not be obtained because there is opposite sign between E and K)

III. D > C → False (as D < O > E < C, thus clear relation between D and C can not be obtained because there is opposite sign between D and C)

Hence, Only conclusion I follows.

Given statements: M > A > R, G = R < S, 1 ≤ R ≤ C, 3 = C > J

On combining: M > A > G = R ≤ C = 3 > J, 1 ≤ R = G < S

Conclusions:

I. M > 1 → True (as M > A > G = R ≥ 1 → M > 1).

II. 3 = 1 → False (as 1 ≤ R ≤ C = 3 → 3 ≥ 1, which means 3 > 1 or 3 = 1) 

III. 3 > 1 → False (as 1 ≤ R ≤ C = 3 → 3 ≥ 1, which means 3 > 1 or 3 = 1) 

Here, conclusion II and conclusion III both are complementary to each other. Hence, it is "either or" case.

Hence, Either conclusion II or III and conclusion I is true.

Given:

Eight people: W, D, S, C, X, N, K, and Q

1) C sits third to the left of Q who sits at one of the extreme ends.

2) Person sitting extreme ends faces same directions.

3) Two persons sit between D and C.

4) N sits at one of the extreme ends.

5) One person is sitting between N and S.

6) Neither N nor S is an immediate neighbour of C.

7) S faces south direction.

8) W is not a neighbour of C.

In the 2^nd case- Q, S and N face South. As it is given that three of them are facing south while the remaining five are facing north direction. Also, not more than two adjacent persons face the same direction.  So, both these conditions cannot be satisfied in Case2. Therefore, Case 2nd is eliminated.

9) Immediate neighbour of S faces the same direction.

10) K who faces the same direction as D and sits second to the right of X.

11) W and D face opposite directions.

12) Both C and D face the same direction.

The above conditions imply that both the neighbours of S, D, C and K face North direction because there are only two persons left who are facing South and As S is facing South both the neighbours cannot face South. Therefore, W is facing South.

13) Immediate neighbour of C faces the opposite direction.

Therefore, the final arrangement,

Hence, K sits “third to the right” of W.

Given:

Eight people: W, D, S, C, X, N, K, and Q

1) C sits third to the left of Q who sits at one of the extreme ends.

2) Person sitting extreme ends faces same directions.

3) Two persons sit between D and C.

4) N sits at one of the extreme ends.

5) One person is sitting between N and S.

6) Neither N nor S is an immediate neighbour of C.

7) S faces south direction.

8) W is not a neighbour of C.

In the 2nd case- Q, S and N face South. As it is given that three of them are facing south while the remaining five are facing north direction. Also, not more than two adjacent persons face the same direction.  So, both these conditions cannot be satisfied in Case2. Therefore, Case 2nd is eliminated.

9) Immediate neighbour of S faces the same direction.

10) K who faces the same direction as D और sits second to the right of X.

11) W and D face opposite directions.

12) Both C and D face the same direction.

The above conditions imply that both the neighbours of S, D, C and K face North direction because there are only two persons left who are facing South and As S is facing South both the neighbours cannot face South. Therefore, W is facing South.

13) Immediate neighbour of C faces the opposite direction.

Therefore, the final arrangement,

Hence, “2” persons sit between N and K.

Given:

Eight people: W, D, S, C, X, N, K, and Q

1) C sits third to the left of Q who sits at one of the extreme ends.

2) Person sitting extreme ends faces same directions.

3) Two persons sit between D and C.

4) N sits at one of the extreme ends.

5) One person is sitting between N and S.

6) Neither N nor S is an immediate neighbour of C.

7) S faces south direction.

8) W is not a neighbour of C.

In the 2nd case- Q, S and N face South. As it is given that three of them are facing south while the remaining five are facing north direction. Also, not more than two adjacent persons face the same direction.  So, both these conditions cannot be satisfied in Case2. Therefore, Case 2nd is eliminated.

9) Immediate neighbour of S faces the same direction.

10) K who faces the same direction as D and sits second to the right of X.

11) W and D face opposite directions.

12) Both C and D face the same direction.

The above conditions imply that both the neighbours of S, D, C and K face North direction because there are only two persons left who are facing South and As S is facing South both the neighbours cannot face South. Therefore, W is facing South.

13) Immediate neighbour of C faces the opposite direction.

Therefore, the final arrangement,

Hence, “D” sits fourth to the right of X.