A, B, C, D, E, F and G are the names of two rivers, three canals and two…
2022
A, B, C, D, E, F and G are the names of two rivers, three canals and two valleys. B, G and D are not canals. E and F are not rivers. C is a canal but A is a valley. B, F and G are not valley. Which are the three canals?
- A.
A, C and E
- B.
C, E and F
- C.
A, C and F
- D.
E, F and G
Attempted by 36 students.
Show answer & explanation
Correct answer: B
Given facts:
There are two rivers, three canals and two valleys.
C is a canal.
B, G and D are not canals.
E and F are not rivers.
A is a valley.
B, F and G are not valleys.
Reasoning:
Since C is already a canal and B, G and D are not canals, the only remaining names that could be canals are A, E and F.
A is explicitly a valley, so A cannot be a canal.
Therefore the remaining canals must be E and F, giving the three canals as C, E and F.
Check consistency: E and F are not rivers (given), so assigning them as canals is consistent. That leaves B and G as the two rivers and A and D as the two valleys, which satisfies all constraints.
Conclusion: The three canals are C, E and F.