Infosys Company Logical Reasoning Decision Making and Problem Solving

In an island three persons are there Jam, Dam, and Sam. Sam having pencil, Dam having cap and Jam having book .we have find who is author among them if
(1) Sam says, Jam is author but author wearing cap.
(2) Dam says, I am author but author not having cap.
(3) Sam says, I am author but author having note book
Find who is author?

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Infosys Other Question
What is the equivalent compound ratio of 5:6::7:10::6:5 Each of the followed paired numbers have a relationship that's the same for all of the paired numbers. What is the missing number?

{4, 100} {7, 111} {8, 1000} {1, 1} {12, 1100} {2, ?}