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Four friends, Alex, Ben, Chris, and David, participate in a race. They finish in the following order:
  1. Ben finishes ahead of Chris.
  2. Alex finishes ahead of David.
  3. David finishes after Ben.
Q. Who finishes first?
  • a)
    Ben
  • b)
    Chris
  • c)
    Alex
  • d)
    David
Correct answer is option 'C'. Can you explain this answer?

Who finishes first?

Given the information that has been provided, we can determine which friend finishes first by analyzing the given conditions:

1. Ben finishes ahead of Chris.
2. Alex finishes ahead of David.
3. David finishes after Ben.

Based on these conditions, we can eliminate Chris from finishing first because Ben finishes ahead of him. Similarly, we can eliminate David from finishing first because Alex finishes ahead of him.

Hence, the only friend left is Alex, who finishes ahead of David and Ben, making him the first to finish the race. Therefore, the correct answer is option 'C' - Alex.

Six people, A, B, C, D, E, and F, are participating in a singing competition. The following statements are given:
  1. A performs before F.
  2. C performs after B.
  3. E performs before D.
Who performs in the second position?
  • a)
    A
  • b)
    B
  • c)
    C
  • d)
    D
Correct answer is option 'D'. Can you explain this answer?

Atharva Jain answered
Explanation:

Given Statements:
- A performs before F.
- C performs after B.
- E performs before D.

Deductions:
- From the statement "A performs before F", we know that A cannot be in the last position.
- From the statement "C performs after B", we know that C cannot be in the first position.
- From the statement "E performs before D", we know that E cannot be in the last position.

Arranging the Performers:
1. A must perform before F, so the order must be either A _ F or F _ A.
2. C must perform after B, so the order must be either B C or C B.
3. E must perform before D, so the order must be either E _ D or D _ E.
Combining the deductions, we can determine the possible orders of the performers:
- A _ F, B C, E _ D (A performs before F, C after B, E before D)
- F _ A, C B, D _ E (F performs before A, C after B, D before E)
In both cases, performer D is in the second position. Therefore, D performs in the second position.
Therefore, the correct answer is option D.

Six friends, Alice, Bob, Claire, David, Eva, and Frank, are seated in a row. The following conditions are given:
  1. Alice is seated next to Claire.
  2. Bob is seated next to Eva.
  3. David is not seated next to Alice.
Q. Who is seated in the middle?
  • a)
    Alice
  • b)
    Bob
  • c)
    Claire
  • d)
    David
Correct answer is option 'C'. Can you explain this answer?

Kirti Dasgupta answered
Given conditions:
- Alice is seated next to Claire.
- Bob is seated next to Eva.
- David is not seated next to Alice.

We need to determine who is seated in the middle.

Step-by-step solution:

1. Identify the possible seating arrangements:
Since there are six friends, there are six possible seating arrangements:
1. Alice, Bob, Claire, David, Eva, Frank
2. Bob, Alice, Claire, David, Eva, Frank
3. Bob, Claire, Alice, David, Eva, Frank
4. Bob, Claire, David, Alice, Eva, Frank
5. Bob, Claire, David, Eva, Alice, Frank
6. Bob, Claire, David, Eva, Frank, Alice

2. Apply the given conditions:
- Alice is seated next to Claire: From the possible arrangements, we can see that only arrangement 3 satisfies this condition.
- Bob is seated next to Eva: From the possible arrangements, we can see that only arrangement 5 satisfies this condition.
- David is not seated next to Alice: From the possible arrangements, we can see that arrangements 3 and 6 satisfy this condition.

3. Determine the final arrangement:
By considering the conditions, we can conclude that arrangement 3 (Bob, Claire, Alice, David, Eva, Frank) is the only arrangement that satisfies all the given conditions.

4. Identify the person seated in the middle:
In the final arrangement (Bob, Claire, Alice, David, Eva, Frank), Claire is seated in the middle.

Therefore, the correct answer is Claire is seated in the middle.

Six cars, A, B, C, D, E, and F, are lined up in a row. The following statements are given:
  1. A is next right to F.
  2. C is next left to D.
  3. B is not next left to E.
Q. Which car is at the far right end?
  • a)
    A
  • b)
    F
  • c)
    E
  • d)
    B
Correct answer is option 'D'. Can you explain this answer?

Geetika Datta answered
The given statements:
- A is next right to F.
- C is next left to D.
- B is not next left to E.

Analysis:
We need to determine which car is at the far right end of the row. Let's analyze the given statements to find the answer.

Analyzing the first statement:
"A is next right to F."

This means that A is on the right side of F. In other words, F is on the left side of A.

Analyzing the second statement:
"C is next left to D."

This means that C is on the left side of D. In other words, D is on the right side of C.

Analyzing the third statement:
"B is not next left to E."

This means that B cannot be on the immediate left side of E. It does not specify the exact position or relationship between B and E.

Putting it all together:
Based on the given statements, we can conclude the following relationships:

F < />
C < />
B ≠ E

From these relationships, we can infer the following possible arrangements:

F < a="" />< c="" />< d="" />< b="" />< />
A < f="" />< c="" />< d="" />< b="" />< />
A < f="" />< d="" />< c="" />< b="" />< />
A < f="" />< d="" />< b="" />< c="" />< />

Determining the car at the far right end:
In all of these possible arrangements, the car at the far right end is car B. Therefore, the correct answer is option 'D' - B.

Summary:
Based on the given statements, we can determine that car B is at the far right end of the row. This is because there are no specific statements regarding the position of B, but it is not next to E. Therefore, B can be placed at the end of the row.

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