We have drawn the figure according to the information given in the question,

Now C is north east direction of E.

We have drawn the figure according to the information given in the question,

Hence, the distance between F and B is 5 km.

We have drawn the figure according to the information given in the question,

Hence, the distance between B and H is 8 km.

The least possible Venn diagram for the given statements is as follows

Conclusions:

I. Some football are helmet → False ( Some part of football are ball and there is no relation between football and helmet so its false)

II. No helmet is a ball → False ( it is possible but not definite so it's false)

Hence, None follows is the correct answer.

Venn diagram

Conclusions:

I All D being A is a possibility -True (Given Only a few D is C means some D are not C but the relation between D and A is not definite so it is true).

II All C being D is a possibility - True (Only a few D is C means some D are not C but all C can be D).

Hence, Both I and II follows.

The least possible Venn diagram for the given statements is as follows

Conclusions:

I. Some Z can be T → True (The possibility is true, As no direct relation between the two is given).

II. Some A can be B → True (The possibility is true, As no direct relation between the two is given).

Hence, Both I and II follow.

The least possible Venn diagram for the given statements is as follows:

Conclusions:

I. No cats are rabbits → False (We can say but it is not definite)

II. Some dogs are not rabbits → True (As in this case the concept of “only a few” is applied and in this concept “some” and “some + not” both are true)

Hence, only conclusion II follows.

Given:

Eight People: R, K, B, D, Q, E, S, and Z

1) K sits at one of the corners.

2) Z sits third to the right of K.

3) There are four persons sitting between Z and Q when counted clockwise from Z.

4) B sits immediate left of Q.

5) D is sitting at one of the corners but is not an immediate neighbour of B and S.

6) Only one person sits between D and E also between R and S.

7) No person sits immediately next to one another according to the alphabetical order i.e. (D – E, Q – R, and R – S do not sit next to one another).

So, the final arrangement,

Hence, “S” sits second to the right of B.

Given:

Eight People: R, K, B, D, Q, E, S, and Z

1) K sits at one of the corners.

2) Z sits third to the right of K.

3) There are four persons sitting between Z and Q when counted clockwise from Z.

4) B sits immediate left of Q.

5) D is sitting at one of the corners but is not an immediate neighbour of B and S.

6) Only one person sits between D and E also between R and S.

7) No person sits immediately next to one another according to the alphabetical order i.e. (D – E, Q – R, and R – S do not sit next to one another).

So, the final arrangement,

Hence, “4” persons sit between E and S when counted clockwise from E.

Eight People: R, K, B, D, Q, E, S, and Z

1) K sits at one of the corners.

2) Z sits third to the right of K.

3) There are four persons sitting between Z and Q when counted clockwise from Z.

4) B sits immediate left of Q.

5) D is sitting at one of the corners but is not an immediate neighbour of B and S.

6) Only one person sits between D and E also between R and S.

7) No person sits immediately next to one another according to the alphabetical order i.e. (D – E, Q – R, and R – S do not sit next to one another).

So, the final arrangement,

Checking each option,

1) Only one person sits between Z and R → True

2) E is sitting at one of the corners → True

3) S faces D → False ( S faces Z)

4) R faces B → True

Hence, “Option 3” is not correct according to the arrangement.