Directions for the questions 1 to 5: A journal plans to publish 18 research papers, written by eight authors (A, B, C, D, E, F, G, and H) in four issues of the journal scheduled in January, April, July and October. Each of the research papers was written by exactly one of the eight authors. Five papers were scheduled in each of the first two issues, while four were scheduled in each of the last two issues. Every author wrote at least one paper and at most three papers. The total number of papers written by A, D, G and H was double the total number of papers written by the other four authors. Four of the authors were from India and two each were from Japan and China. Each author belonged to exactly one of the three areas — Manufacturing, Automation and Logistics. Four of the authors were from the Logistics area and two were from the Automation area. As per the journal policy, none of the authors could have more than one paper in any issue of the journal.
The following facts are also known.
1. F, an Indian author from the Logistics area, wrote only one paper. It was scheduled in the October issue.
2. A was from the Automation area and did not have a paper scheduled in the October issue.
3. None of the Indian authors were from the Manufacturing area and none of the Japanese or Chinese authors were from the Automation area.
4. A and H were from different countries, but had their papers scheduled in exactly the same issues.
5. C and E, both Chinese authors from different areas, had the same number of papers scheduled. Further, E had papers scheduled in consecutive issues of the journal but C did not.
6. B, from the Logistics area, had a paper scheduled in the April issue of the journal.
7. B and G belonged to the same country. None of their papers were scheduled in the same issue of the journal.
8. D, a Japanese author from the Manufacturing area, did not have a paper scheduled in the July issue.
9. C and H belonged to different areas.
Q. 1 What is the correct sequence of number of papers written by B, C, E and G, respectively?
1) 1, 2, 2, 3
2) 3, 1, 1, 3
3) 1, 2, 2, 1
4) 1, 3, 3, 1
Explanation
Correct Answer
1
Explanation
Step 1: Total papers distribution
We are told:
- Total papers written by A, D, G, and H is double the total papers written by B, C, E, F.
- Let’s set up the totals:
A + D + G + H = 12 papers
B + C + E + F = 6 papers
Given conditions (1) and (5):
- A, D, G, H wrote equal papers → Each wrote 3 papers
A = D = G = H = 3
Therefore:
- B + C + E + F = 6
- From condition (1), B = 1
- From condition (5), E = 2
- So C + F = 3
- Given condition (8), C = 2
- Therefore F = 1
Step 2: Country and area
From conditions:
- A is Indian (condition 3)
- B and G are Indian (condition 7)
- A and H are Indian and Japanese respectively (condition 4)
- G is Automation (condition 6)
- C is Manufacturing (condition 9)
- H is Logistics
By elimination and matching:
- A = India, Automation
- G = India, Automation
- B = India, Logistics
- H = Japan, Logistics
- C = China, Manufacturing
- E = China, Logistics
- D = Japan, Manufacturing
- F = India, Logistics
Step 3: Months
From conditions:
- A and H had their issues in January, April, July (condition 4)
- E had issues in April, July (condition 5)
- C had issues in January, October (condition 5)
- G had issues in January, July, October (condition 7)
- D had issues in January, April, October (condition 8)
Final Table
| Author | Papers | Months | Country | Area |
|---|---|---|---|---|
| A | 3 | January, April, July | India | Automation |
| B | 1 | April | India | Logistics |
| C | 2 | January, October | China | Manufacturing |
| D | 3 | January, April, October | Japan | Manufacturing |
| E | 2 | April, July | China | Logistics |
| F | 1 | October | India | Logistics |
| G | 3 | January, July, October | India | Automation |
| H | 3 | January, April, July | Japan | Logistics |
Summary of logic flow
- Started with total papers equation and derived individual counts.
- Applied conditions on nationality and work area to fill out country and area columns.
- Used conditions on month participation to assign months.
Q. 2 How many papers were written by Indian authors?
Explanation
8 are writtin by Indians
Q. 3 Which of the following statement(s) MUST be true?
Statement A: Every issue had at least one paper by author(s) from each country.
Statement B: Every issue had at most two papers by author(s) from each area.
- Neither of the statements
- Both the statements
- Only statement A
- Only statement B
Explanation
Step 1: Total papers distribution
We are told:
- Total papers written by A, D, G, and H is double the total papers written by B, C, E, F.
- Let’s set up the totals:
A + D + G + H = 12 papers
B + C + E + F = 6 papers
Given conditions (1) and (5):
- A, D, G, H wrote equal papers → Each wrote 3 papers
A = D = G = H = 3
Therefore:
- B + C + E + F = 6
- From condition (1), B = 1
- From condition (5), E = 2
- So C + F = 3
- Given condition (8), C = 2
- Therefore F = 1
Step 2: Country and area
From conditions:
- A is Indian (condition 3)
- B and G are Indian (condition 7)
- A and H are Indian and Japanese respectively (condition 4)
- G is Automation (condition 6)
- C is Manufacturing (condition 9)
- H is Logistics
By elimination and matching:
- A = India, Automation
- G = India, Automation
- B = India, Logistics
- H = Japan, Logistics
- C = China, Manufacturing
- E = China, Logistics
- D = Japan, Manufacturing
- F = India, Logistics
Step 3: Months
From conditions:
- A and H had their issues in January, April, July (condition 4)
- E had issues in April, July (condition 5)
- C had issues in January, October (condition 5)
- G had issues in January, July, October (condition 7)
- D had issues in January, April, October (condition 8)
Final Table
| Author | Papers | Months | Country | Area |
|---|---|---|---|---|
| A | 3 | January, April, July | India | Automation |
| B | 1 | April | India | Logistics |
| C | 2 | January, October | China | Manufacturing |
| D | 3 | January, April, October | Japan | Manufacturing |
| E | 2 | April, July | China | Logistics |
| F | 1 | October | India | Logistics |
| G | 3 | January, July, October | India | Automation |
| H | 3 | January, April, July | Japan | Logistics |
Summary of logic flow
- Started with total papers equation and derived individual counts.
- Applied conditions on nationality and work area to fill out country and area columns.
- Used conditions on month participation to assign months.
Q. 4 Which of the following statements is FALSE?
1) Every issue had at least one paper by author(s) from Automation area
2) Every issue had exactly one paper by a Chinese author.
3) Every issue had exactly two papers by authors from Logistics area.
4) Every issue had exactly two papers by Indian authors
Explanation
Correct Answer
3
Explanation
Step 1: Total papers distribution
We are told:
- Total papers written by A, D, G, and H is double the total papers written by B, C, E, F.
- Let’s set up the totals:
A + D + G + H = 12 papers
B + C + E + F = 6 papers
Given conditions (1) and (5):
- A, D, G, H wrote equal papers → Each wrote 3 papers
A = D = G = H = 3
Therefore:
- B + C + E + F = 6
- From condition (1), B = 1
- From condition (5), E = 2
- So C + F = 3
- Given condition (8), C = 2
- Therefore F = 1
Step 2: Country and area
From conditions:
- A is Indian (condition 3)
- B and G are Indian (condition 7)
- A and H are Indian and Japanese respectively (condition 4)
- G is Automation (condition 6)
- C is Manufacturing (condition 9)
- H is Logistics
By elimination and matching:
- A = India, Automation
- G = India, Automation
- B = India, Logistics
- H = Japan, Logistics
- C = China, Manufacturing
- E = China, Logistics
- D = Japan, Manufacturing
- F = India, Logistics
Step 3: Months
From conditions:
- A and H had their issues in January, April, July (condition 4)
- E had issues in April, July (condition 5)
- C had issues in January, October (condition 5)
- G had issues in January, July, October (condition 7)
- D had issues in January, April, October (condition 8)
Final Table
| Author | Papers | Months | Country | Area |
|---|---|---|---|---|
| A | 3 | January, April, July | India | Automation |
| B | 1 | April | India | Logistics |
| C | 2 | January, October | China | Manufacturing |
| D | 3 | January, April, October | Japan | Manufacturing |
| E | 2 | April, July | China | Logistics |
| F | 1 | October | India | Logistics |
| G | 3 | January, July, October | India | Automation |
| H | 3 | January, April, July | Japan | Logistics |
Summary of logic flow
- Started with total papers equation and derived individual counts.
- Applied conditions on nationality and work area to fill out country and area columns.
- Used conditions on month participation to assign months.
Q. 5 Which of the following statements is FALSE?
1) There were exactly two papers by authors from Manufacturing area in the July issue.
2) There were exactly two papers by authors from Manufacturing area in the January issue.
3) There was exactly one paper by an author from Logistics area in the October issue.
4) There was exactly one paper by an author from Manufacturing area in the April issue
Explanation
Correct Answer
1
Explanation
Step 1: Total papers distribution
We are told:
- Total papers written by A, D, G, and H is double the total papers written by B, C, E, F.
- Let’s set up the totals:
A + D + G + H = 12 papers
B + C + E + F = 6 papers
Given conditions (1) and (5):
- A, D, G, H wrote equal papers → Each wrote 3 papers
A = D = G = H = 3
Therefore:
- B + C + E + F = 6
- From condition (1), B = 1
- From condition (5), E = 2
- So C + F = 3
- Given condition (8), C = 2
- Therefore F = 1
Step 2: Country and area
From conditions:
- A is Indian (condition 3)
- B and G are Indian (condition 7)
- A and H are Indian and Japanese respectively (condition 4)
- G is Automation (condition 6)
- C is Manufacturing (condition 9)
- H is Logistics
By elimination and matching:
- A = India, Automation
- G = India, Automation
- B = India, Logistics
- H = Japan, Logistics
- C = China, Manufacturing
- E = China, Logistics
- D = Japan, Manufacturing
- F = India, Logistics
Step 3: Months
From conditions:
- A and H had their issues in January, April, July (condition 4)
- E had issues in April, July (condition 5)
- C had issues in January, October (condition 5)
- G had issues in January, July, October (condition 7)
- D had issues in January, April, October (condition 8)
Final Table
| Author | Papers | Months | Country | Area |
|---|---|---|---|---|
| A | 3 | January, April, July | India | Automation |
| B | 1 | April | India | Logistics |
| C | 2 | January, October | China | Manufacturing |
| D | 3 | January, April, October | Japan | Manufacturing |
| E | 2 | April, July | China | Logistics |
| F | 1 | October | India | Logistics |
| G | 3 | January, July, October | India | Automation |
| H | 3 | January, April, July | Japan | Logistics |
Summary of logic flow
- Started with total papers equation and derived individual counts.
- Applied conditions on nationality and work area to fill out country and area columns.
- Used conditions on month participation to assign months.
