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A, B, C, D. E, F and G are seven students from a college who appeared for an exam and scored different marks each. D scored the second highest marks. C scored immediately lower marks than D and immediately higher marks than F. E scored higher than only B. G scored less marks than four of the fellow students. Who scored the highest marks?
B
D
F
A
A
Directly place the fixed constraints first: D is 2nd, C-F are 3rd-4th, E-B are 6th-7th. The remaining two (A, G) fit based on G's specific condition.
Directly place the fixed constraints first: D is 2nd, C-F are 3rd-4th, E-B are 6th-7th. The remaining two (A, G) fit based on G's specific condition.
Establish fixed positions
Total 7 students. D is 2nd highest. C is immediately lower than D (so C is 3rd). F is immediately lower than C (so F is 4th). Sequence so far: _ > D(2) > C(3) > F(4) > _ > _ > _.
Place E, B, and G
E scored higher than only B, meaning B is 7th and E is 6th. G scored less than four students, meaning G is 5th (as G is less than 1, 2, 3, and 4). Sequence: _ > D(2) > C(3) > F(4) > G(5) > E(6) > B(7).
Identify the highest scorer
The only remaining student is A, who must occupy the 1st position. Final ranking: A(1) > D(2) > C(3) > F(4) > G(5) > E(6) > B(7).
A: B is 7th, meaning B is the lowest, not highest. B: D is explicitly given as the 2nd highest, not the highest. C: F is 4th, meaning F scored lower than D, C, A, and potentially others, not the highest.
D is correct because based on the constraints, A is the only student left to occupy the 1st (highest) position.
When solving ranking puzzles, always fill the 'anchored' positions (like 2nd, last, or specifically linked pairs) first to narrow down the search space for the remaining individuals.