Question:medium

Seven friends A, B, C, D, E, F and G go for a movie. Out of these, AD, FC and BG are couples of which A, F and B are males. The couples sit with husbands and wives in the left to right order. Who sat at the two corners?
Statement 1: E sits at the centre with D sitting 2 places to the left of E
Statement 2: B does not sit at the corner and nor does G
Directions: This question has a problem and two statements numbered (1) and (2) giving certain information. You have to decide if the information given in the statements is sufficient for answering the problem. Indicate your answer

Updated On: Jun 30, 2026
  • statement (1) alone is sufficient to answer the question
  • statement (2) alone is sufficient to answer the question
  • both the statements together are needed to answer the question
  • either statement (1) alone or statement (2) alone is sufficient to answer the question
  • neither statement (1) nor statement (2) suffices to answer the question
Show Solution

The Correct Option is C

Solution and Explanation

The correct answer is option (C):
both the statements together are needed to answer the question

Let's break down this logic puzzle step by step. We have seven people: A, B, C, D, E, F, and G. We know three couples: AD, FC, and BG. The couples must sit together with the husband on the left and wife on the right. This leaves us with a basic seating arrangement problem.

We want to find who sits at the two corners.

Statement 1 Analysis: E sits in the center, and D sits two places to the left of E. This tells us some specific positioning. Let's represent the seats with numbers 1 through 7 from left to right. If E is in the center (position 4), then D is in position 2. Since AD is a couple, and D is in position 2, then A must be in position 1. This would give us the arrangement: A D _ E _ _ _.

Statement 2 Analysis: B and G do not sit at the corners. This provides us with constraints.

Combining Statements 1 and 2:

* From Statement 1, we have: A D _ E _ _ _.
* Since AD are a couple, the starting of the arrangement is correct.
* We know B and G can't be at the corners.
* Since A is at position 1 (from statement 1), and B and G can't be at position 7 (from statement 2) and AD, FC and BG are couples, we can deduce some part of the solution.
* Since F and C are a couple, and B and G are a couple, and A and D are a couple, then we can construct the rest of the seating arrangement to determine the corner seats
* We can see that A is at corner 1, so the question is to identify the person on the last corner, that is at position 7.
* The seating arrangement should be: A D F C E B G.

Thus, combining both statements helps us deduce the corner persons.

Therefore, both statements together are needed to solve the problem.
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