Question

Eight people are sitting in two parallel rows containing 4 people each in such a way that there is equal distance between adjacent persons. In row 1, D, E, O and S are seated and all of them are facing south. In row 2, F, A, R and M are seated and all of them are facing north. Thus each person faces another person from the other row. Only one person sits between A and F. Only one person sits between D and O. Which of the following represents both people facing each other ?

• A. E and A
• B. E and R
• C. E and M
• D. E and F

Answer 1

Answer:

C. E and M

Let’s solve it systematically and then check the options.

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Given

• Two parallel rows of 4 each

• Row 1 (facing south): D, E, O, S

• Row 2 (facing north): F, A, R, M

• Each person faces exactly one person in the other row

• Only one person sits between A and F (Row 2)

• Only one person sits between D and O (Row 1)

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Step 1: Place A and F (Row 2)

“Only one person between” ⇒ positions 1 & 3 or 2 & 4

Try one valid arrangement (either works symmetrically):

Row 2 (north):
F A

The remaining seats are for R and M.

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Step 2: Place D and O (Row 1)

Similarly, “only one person between” ⇒ positions 1 & 3 or 2 & 4

Place them to align logically:

Row 1 (south):
D O

Remaining seats are for E and S.

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Step 3: Complete seating

One valid complete arrangement:

Row 1 (South):   D   E   O   S
Row 2 (North):   F   R   A   M

Now, people facing each other are:

• D ↔ F

• E ↔ R

• O ↔ A

• S ↔ M

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Step 4: Check options

• E and A ❌

• E and R ✅

• E and M ❌

• E and F ❌

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E and R