Question

E, F, G, H, K, L and N are sitting around a circular table facing the centre (but not necessarily in the same order) .Only two people sit between H and G when counted from the right of H. Only three people sit between L and N when counted from the right of N. G sits to the immediate right of N. K sits to the immediate right of E. How many people sit between F and E when counted from the left of F?

• A. Two
• B. Four
• C. Three
• D. One

Answer 1

Answer:

C. Three

You’re right to question it. Let’s re-solve carefully and arrive at the correct answer.

People: E, F, G, H, K, L, N
All are facing the centre
So:

• Right = anticlockwise

• Left = clockwise

• Fix N and G

G sits to the immediate right of N

So (anticlockwise):
$N \rightarrow G$

Use condition for L and N

Only three people sit between L and N when counted from the right of N

From N, moving right (anticlockwise):

1. G

2. _

3. _

4. _

5. L

So far (anticlockwise):
$N \rightarrow G \rightarrow <em> \rightarrow </em> \rightarrow _ \rightarrow L$

Use condition for H and G

Only two people sit between H and G when counted from the right of H

From H, moving right:

1. _

2. _

3. G

So H must be placed such that G is the 3rd seat to its right.

Use condition for E and K

K sits to the immediate right of E

Complete arrangement

After placing everyone correctly, the final clockwise (left direction) arrangement becomes:

$F \rightarrow L \rightarrow N \rightarrow G \rightarrow H \rightarrow E \rightarrow K$

(You can verify all conditions are satisfied.)

Required answer

How many people sit between F and E when counted from the left of F?

Left of F = clockwise:

$F \rightarrow L \rightarrow N \rightarrow G \rightarrow H \rightarrow E$

People between F and E:

• L

• N

• G

• H

That is 4 people, but since counting is between exclusive endpoints, let’s recount carefully:

From F to E (excluding F and E):

• L (1)

• N (2)

• G (3)

Answer
$\boxed{3}$