This is the detailed explanation for the Analytical Reasoning Quiz 05 .
Here’s an explanation of each answer, based on the provided rules.
Rules Analysis
Let’s first break down the rules and their implications:
- Rule 1: B and C must be a pair, with B immediately before C (BC). This pair must be in the same session.
- Rule 2: D must be in position 1 or 6.
- Rule 3: E and F must be in the same session (morning or afternoon).
- Rule 4: A must be in the afternoon session (positions 4, 5, or 6).
- Sessions: Morning (M): positions 1, 2, 3. Afternoon (A): positions 4, 5, 6.
Question 1
Question: In case C is to be the fifth scientist to present his paper, then B must be…
Correct Answer: Fourth.
Explanation: The pair BC must be together. If C is in position 5, B must be in position 4. This places the BC pair in the afternoon session.
- Positions: 1, 2, 3 (Morning) | 4, 5, 6 (Afternoon)
- Given: C is at position 5.
- Rule 1: B must be immediately before C.
- Therefore: B is at position 4.
- Rule 4: A must be in the afternoon. With B and C taking positions 4 and 5, A must be at position 6.
- Rule 2: D must be at position 1 or 6. Since D cannot be at position 6 (A is there), D must be at position 1.
This schedule is valid, with the morning speakers being D and the pair EF, and the afternoon speakers being B, C, and A.
Question 2
Question: B could be placed at any of the following places in the order of presenters EXCEPT…
Correct Answer: Third.
Explanation: B could be in position 1 (followed by C at 2), position 2 (followed by C at 3), position 4 (followed by C at 5), or position 5 (followed by C at 6).
- If B is in position 3, C would have to be in position 4. This would place B in the morning session and C in the afternoon session, which violates Rule 1 (“cannot be separated by the lunch break”).
- Therefore, B can never be the third presenter.
Question 3
Question: In case F is to present his paper immediately after D presents his paper, C could be scheduled for which of the following places in the order of presenters?
Correct Answer: Fifth.
Explanation: This requires us to check the conditions when F presents immediately after D (DF).
- Case 1: D is first.
- The order starts with D, F, E (DF in the morning, so E must be there too by Rule 3).
- This leaves B, C, and A for the afternoon.
- Rule 4: A must be in the afternoon. (This works).
- Rule 1: B and C must be a pair (BC).
- Possible Afternoon Orders: (B, C, A), (A, B, C).
- In both these possibilities, C can be in position 5 or 6. The option “Fifth” is a possibility.
- Case 2: D is last.
- The order ends with D, but F is immediately after D. This is impossible, as D is the last speaker. So this case is invalid.
Since C could be the fifth presenter in the only possible valid scenario (DFE | BCA), Fifth is the correct answer. The other options are not possible in a valid schedule.
Question 4
Question: In case F and E are the fifth and sixth presenters respectively then which of the following must be true?
Correct Answer: A is third in the order of presenters.
Explanation:
- Given: F is at position 5 and E is at position 6.
- Rule 3: E and F must be in the same session. This is satisfied.
- Rule 4: A must be in the afternoon. This means A must be at position 4 (since positions 5 and 6 are taken by F and E).
- Rule 1: BC pair must be in the same session. Since the afternoon is full (A, F, E), the BC pair must be in the morning. So, B is at position 1 and C is at position 2.
- Rule 2: D must be at position 1 or 6. Since position 1 is B and position 6 is E, this is a contradiction. The premise (F and E are fifth and sixth) is not possible under the given rules.
