Question:

Seven people, A, B, C, D, E, F and G, want to go boating. Only two boats are available, and their seating must follow these rules:
(I) A will go in the same boat as E.
(II) F cannot go in the same boat as C, unless D also joins them.
(III) Neither B nor C can be placed in the same boat as G.
(IV) A single boat can carry a maximum of four people.

If F and B are seated in one boat, which of the following statements is true?

Show Hint

Work out first which two people are always stuck together because of the G restriction, then see who rule II forces to join F.
Updated On: Jul 14, 2026
  • G is in the other boat
  • D is in the other boat
  • C is in the other boat
  • E is with F and B in one boat
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The Correct Option is A

Solution and Explanation

Step 1: Fix B, C and G first.
Rule III says B and C both stay away from G's boat. Since there are only two boats, this puts B and C together in the boat that does not carry G.

Step 2: Place F using the given condition.
We are told F sits with B. Since B always sits with C, F ends up in the same boat as both B and C.

Step 3: Apply the F-C-D rule.
Rule II says F and C cannot share a boat unless D joins them too. Because F is now with C, D must also be placed in this boat.

Step 4: Check the head count.
This boat now holds B, C, D and F, four people, which is the maximum allowed by rule IV. So no one else can join this boat.

Step 5: Place the remaining people.
A, E and G are left over. Rule I keeps A and E together, and rule III keeps G away from B and C, so G has no choice but to join A and E in the second boat.

Final Answer:
The boat with F and B holds B, C, D, F, while the other boat holds A, E, G. So G sits in the other boat. \[ \boxed{\text{G is in the other boat}} \]
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