Seven persons A, B, C, D, E, F and G travel by three cars X, Y, Z. A and another two of them travel by X. Only E travels with G. C travels by Z, but B does not travel by Y. Besides, A and B do not travel by the same car. Then which of the following are correct?
I. No one travels alone.
II. Only D travels with F.
III. Only C travels with B.
Select the answer using the code given below.
Detailed Explanation:
Given constraints: A travels in X with two others; only E travels with G (meaning E and G are alone together); C travels in Z; B doesn't travel in Y; A and B don't share a car.
Logical deduction: Since B ≠ Y and B ≠ A's car (X), B must be in Z with C. E and G form a pair alone, so they occupy Y. The remaining persons D and F join A in X, giving us: X = {A, D, F}, Y = {E, G}, Z = {B, C}.
Evaluating statements: I is correct—no car has a single person. II is incorrect—D doesn't travel only with F; A is also in X. III is correct—B's only companion is C in Z.
Therefore, statements I and III are correct, making Option 2 the correct answer.
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