Question: What is the correct sequence of number of papers written by B, C, E and G, respectively?
Explanation:
The information given in the question can be written as follows
Point (2) & (3): A has to be from India
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
⇒ A + D + G + H = 2(B + C + E + F)
Also, A + D + G + H + B + C + E + F = 18
⇒ 3(B + C + E + F) = 18
⇒ B + C + E + F = 6 …(1)
⇒ A + D + G + H = 12 …(2)
Point (5): C = E ≥ 2 (since E has papers scheduled in consecutive issues, E must have written more than 1 paper)
From (1) we can conclude that E must have written exactly 2 papers. C would also have written exactly 2 papers.
∴ B + 2 + 2 + 1 = 6
⇒ B = 1
Also, A + D + G + H = 12. Since each person can write a maximum of 3 papers, hence the only possible value of A, D, G and H will be 3 each.
Point (7): B and G both can only be from India. Hence, H has to be from Japan.
Point (5) & (3): C and E cannot be from Automation since they are Chinese. Hence, one of C or E is from Manufacturing and the other from Logistics.
Now, since H is from Japan he cannot be from Automation, hence H can only be from Logistics.
Since, C and H have to be from different areas (9), C has to be from Manufacturing and E from Logistics.
This leaves us with G who has to be from Automation.
A has to write 3 papers and an author can write only one paper in a single issue, hence A must have written one paper each in Jan, Apr and Jul issue.
A and H had papers scheduled in same issues (4). Hence, must have written one paper each in Jan, Apr and Jul issue.
Similarly, D must have written one paper each in Jan, Apr and Oct issue.
Point (7): None of B and G’s papers were scheduled in the same issue of the journal. Hence, G must have written papers in Jan, Jul and Oct.
Point (5): E wrote papers in successive issues while C did not write in successive issues. Only possible way this can happen is when E writes in Apr and Jul while C writes in Jan and Oct.
Number of papers written by B, C, E and G is 1, 2, 2 and 3 respectively.
Hence, option (a).