Question

Seven people, E, F, G, H, K, L and N, are sitting in a row facing north (but not necessarily in the same order) .Only three people sit between G and K. L sits to the immediate left of K. No one sits to the right of E. Only two people sit between E and L. N sits to the immediate right of H. How many people sit between F and N?

• A. 3
• B. 1
• C. 2
• D. 4

Answer 1

Answer:

C. 2

Let’s solve step by step.

We have 7 people: E, F, G, H, K, L, N
All are facing north, so:

• Left = west side (our left)

• Right = east side (our right)

  “No one sits to the right of E”

So E is at the extreme right end.

So position 7 = E

“Only three people sit between G and K”

So their positions differ by 4:
Possible pairs:

• (1,5), (2,6), (3,7), etc.

But 7 is E, so K/G cannot be 7.

Try placements later.

“L sits to the immediate left of K”

So: L K together.

“Only two people sit between E and L”

E is at position 7.

So L must be at position 4
(because 4 → 7 has 2 people between: 5,6)

So:

• L = 4

• E = 7

  Place K (since L is immediate left of K)

So:

• L (4) → K (5)

Now we have:
_ L K _ E
Positions: 4=L, 5=K, 7=E

“G and K have 3 people between them”

K is at 5 → G must be at 1

Because:
1 → 5 has 3 people between (2,3,4)

So:

• G = 1

  Remaining people: F, H, N → positions 2, 3, 6

We know:

• N sits immediately right of H

So H N must be consecutive (H left of N)

Possible slots:

• (2,3)

• (3,6) not consecutive
  So only option: H=2, N=3

Remaining:

• F = 6

  Final arrangement:

1 G
2 H
3 N
4 L
5 K
6 F
7 E

Question: F and N

F = 6, N = 3
People between them: position 4 and 5 → L, K

So count = 2

Final Answer: 2