Question

Seven people, A, B, C, D, E, F and G, are sitting in a row, facing north. Only two people sit between G and C. Only D sits to the right of F. Only one person sits between C and F. A sits at some place to the right of E but at some place to the left of B. How many people sit to the right of A?

• A. 4
• B. 3
• C. 2
• D. 1

Answer 1

Answer:

A. 4

• Correct Answer: Option A (4)

• Step-by-step Solution:

• Given conditions:

  1. Seven people A, B, C, D, E, F and G sit in a row facing north.

  2. Only two people sit between G and C.

  3. Only D sits to the right of F.

  4. Only one person sits between C and F.

  5. A sits to the right of E but to the left of B.

• Working out the arrangement:

• Step 1: From condition 3 — "Only D sits to the right of F," this means F is at position 6 and D is at position 7.
  → F _ D → F occupies Position 6, D occupies Position 7

• Step 2: From condition 4 — "Only one person sits between C and F." Since F is at position 6, C must be at position 4.
  → C F D

• Step 3: From condition 2 — "Only two people sit between G and C." Since C is at position 4, G must be at position 1 or position 7. Since position 7 is taken by D, G is at position 1.
  → G C _ F D

• Step 4: Remaining people: A, B, E fill positions 2, 3, and 5.
  From condition 5 — A is to the right of E and to the left of B.
  → The only valid order is: E(2), A(3), B(5)

• Final Arrangement:

• 1	2	3	4	5	6	7
  G	E	A	C	B	F	D

• People to the right of A (position 3): C, B, F, D → 4 people

• Therefore, the answer is Option A — 4.