Question

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

• A. statement (1) alone is sufficient to answer the question
• B. statement (2) alone is sufficient to answer the question
• C. both the statements together are needed to answer the question
• D. either statement (1) alone or statement (2) alone is sufficient to answer the question
• E. neither statement (1) nor statement (2) suffices to answer the question

Answer 1

The Correct Option is C

To solve the problem, we need to determine the seating arrangement of the seven friends based on the given information and find out who sits at the corners.

The information given is:

• There are seven friends: A, B, C, D, E, F, and G.
• Couples: AD, FC, and BG, with A, F, and B being males.
• The couples sit together in a left to right order.

Let's analyze each statement:

Statement 1: E sits at the center with D sitting 2 places to the left of E.

• With E in the center (4th position), D must be either in the 2nd position or the 6th position (2 places to the left of E).
• Since D is a female and part of the couple AD, placing D on the 2nd position implies A should be on the 1st position.

Statement 2: B does not sit at the corner and nor does G.

• Since AD is already occupying position 1 and 2 based on Statement 1, B and G not being at corners confines them to the middle positions (3rd, 4th, 5th).
• Since E sits at the center (4th) and D (2nd) along with G and B's positions need to be decided without sitting at the corners.

Using both statements:

• Place F and C together on one side, and since B and G cannot occupy corners, they must occupy 3rd and 5th.
• Hence, one valid arrangement based on the left-to-right seating of couples and constraints is: A, D, B, E, G, F, C.

Therefore, F and C sit at the corners.

Conclusion: Both statements together are needed to conclusively determine who sits at the corners. Thus, the correct answer is "both the statements together are needed to answer the question."