Study the lowing information to answer the given questions S, T, U, V, W, X, Y and Z are sitting in a straight line equidistant from each other (but not necessarily in the same order). Some of them are facing south while some are facing north. (Note : Facing the same direction means, if one is facing north then the other also faces north and vice-versa. Facing the opposite directions means, if one is facing north then the other faces south and vice-versa) S faces north. Only two people sit to the right of S. T sits third to the left of S. Only one person sits between T and X. X sits to the immediate right of W. Only one person sits between W and Z. Both the immediate neighbors of T face the same direction. U sits third to the left of X. T faces the opposite direction as S. Y does not sit at any of the extremes ends of the line. V faces the same direction as W. Both Y and U face the opposite direction of Z.

**Question:** How many persons in the given arrangement are facing North?

Question

Study the lowing information to answer the given questions S, T, U, V, W, X, Y and Z are sitting in a straight line equidistant from each other (but not necessarily in the same order). Some of them are facing south while some are facing north. (Note : Facing the same direction means, if one is facing north then the other also faces north and vice-versa. Facing the opposite directions means, if one is facing north then the other faces south and vice-versa) S faces north. Only two people sit to the right of S. T sits third to the left of S. Only one person sits between T and X. X sits to the immediate right of W. Only one person sits between W and Z. Both the immediate neighbors of T face the same direction. U sits third to the left of X. T faces the opposite direction as S. Y does not sit at any of the extremes ends of the line. V faces the same direction as W. Both Y and U face the opposite direction of Z.

**Question:** How many persons in the given arrangement are facing North?

Accepted Answer

**Solution:**

1. Since S faces north and only two people sit to the right of S, S must be at the 6th position in the line of 8 (positions numbered 1 to 8 from left to right).

2. T sits third to the left of S, so T is at position 3 (6 - 3 = 3).

3. Only one person sits between T and X, so X can be at position 1 or 5.

4. X sits immediately to the right of W, so W must be immediately to the left of X.

5. Only one person sits between W and Z.

6. U sits third to the left of X.

7. Y does not sit at either extreme end (positions 1 or 8).

Let's place S at position 6:

Positions: 1 2 3 4 5 6 7 8
Persons:   ? ? T ? ? S ? ?

T is at 3, S at 6.

Since X sits immediately right of W, and one person between T(3) and X, possible X positions are 1 or 5.

- If X is at 5, then W is at 4.
- One person between W(4) and Z means Z is at 2 or 6 (6 is occupied by S), so Z is at 2.

U sits third to the left of X(5), so U is at 2 (5 - 3 = 2).

But 2 is occupied by Z, so this is not possible.

Try X at 1:

Then W is at position 0 (not possible), so X cannot be at 1.

Try X at 5:

W at 4, Z at 2 (one person between W and Z).

U sits third to the left of X(5), so U at 2.

Conflict: Z and U both at 2.

Try Z at 7 (one person between W(4) and Z(7) is positions 5 and 6, but 6 is S, 5 is X).

Positions: 1 2 3 4 5 6 7 8
Persons:   ? ? T W X S Z ?

One person between W(4) and Z(7) is positions 5 and 6, both occupied by X and S.

So this is valid.

U sits third to the left of X(5), so U at 2.

Y does not sit at extremes (1 or 8), so Y can be at 1 or 8.

Remaining positions: 1, 2, 8

Assign U at 2, Y at 1 or 8, V at 8 or 1.

V faces same direction as W.

S faces north.

T faces opposite direction to S, so T faces south.

Neighbors of T (positions 2 and 4) face the same direction.

Positions 2 (U) and 4 (W) neighbors of T(3).

So U and W face same direction.

V faces same direction as W.

Y and U face opposite direction to Z.

Since Z is at 7, and Y and U face opposite direction to Z, if Z faces south, Y and U face north.

S faces north.

T faces south.

W and V face same direction.

Neighbors of T (U and W) face same direction.

So U and W face south (since T faces south), so W and U face south.

But Y and U face opposite direction to Z, so if U faces south, Z faces north.

Z faces north.

Y faces opposite direction to Z, so Y faces south.

V faces same direction as W, so V faces south.

S faces north.

T faces south.

X is immediate right of W(4), so X at 5.

Direction of X is not given explicitly, but since neighbors of T are U and W, and both face same direction (south), X's direction is not restricted.

Positions and directions:

1: Y (south)
2: U (south)
3: T (south)
4: W (south)
5: X (?)
6: S (north)
7: Z (north)
8: V (south)

X's direction is not given, but since Y and U face opposite to Z, and Z faces north, Y and U face south.

V faces same as W (south).

S faces north.

T faces south.

So, persons facing north are S(6), Z(7), and possibly X(5).

Since X is immediate right of W(south), and no restriction on X, let's assume X faces north to maximize north-facing persons.

Counting north-facing persons: S, Z, X = 3

But the question asks how many persons face north.

Check if Y can face north?

No, Y faces opposite to Z (north), so Y faces south.

V faces same as W (south).

So total north-facing persons are S, Z, and possibly X.

If X faces north, total is 3.

If X faces south, total is 2.

But neighbors of T (positions 2 and 4) face same direction (both south), so X at 5 can face north.

Hence, total north-facing persons are 3.

But the options include "More than four" as correct answer in the original input.

Re-examining the arrangement, if we consider X faces north, and Y faces south, U faces south, W faces south, V faces south, T faces south, S faces north, Z faces north.

North-facing: S, Z, X = 3

No more than 3.

Therefore, the correct answer is **Three**.

**Answer:** Three

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