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Six friends, E, F, G, X, Y and Z, are sitting in a row facing north (but not necessarily in the same order). No one sits to the left of F. Only four people sit between F and E. Only three people sit to the left of Z. X sits to the immediate left of G. How many people sit between Y and F?

AThree

BOne

CFour

DTwo

Answer:

A. Three

Read Explanation:

Let’s arrange step by step.

We have 6 friends sitting in a row facing north.
Positions are numbered 1 to 6 from left to right.

“No one sits to the left of F.”

That means F is at position 1.

So:

1 → F
2 → ?
3 → ?
4 → ?
5 → ?
6 → ?

“Only four people sit between F and E.”

If F is at position 1, and four people sit between F and E:

Positions between 1 and 6 = 2, 3, 4, 5 (4 people)

So E must be at position 6.

Now we have:

1 → F
2 → ?
3 → ?
4 → ?
5 → ?
6 → E

“Only three people sit to the left of Z.”

That means Z is at position 4.

(Positions 1,2,3 are to its left → 3 people)

Now:

1 → F
2 → ?
3 → ?
4 → Z
5 → ?
6 → E

“X sits to the immediate left of G.”

So X and G must be adjacent, with X just before G.

Possible empty positions:
2, 3, 5

Position 4 and 6 already filled.

They cannot be (3,4) because 4 is Z.
They cannot be (5,6) because 6 is E.

So only possible pair:

2 → X
3 → G

Now arrangement:

1 → F
2 → X
3 → G
4 → Z
5 → Y
6 → E

(Only Y remains for position 5.)

Question

How many people sit between Y and F?

F is at position 1.
Y is at position 5.

People between them:
Positions 2, 3, 4 → 3 people

Final Answer:

3 people sit between Y and F.


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