A is shorter than B but taller than C. D is shorter than A but taller ...
1) A is shorter than B but taller than C.
⇒ C < A < B
2) D is shorter than A but taller than C.
⇒ C < D < A < B
3) E is shorter than B but taller than A.
⇒ C < D < A < E < B
Therefore, C is the shortest.
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A is shorter than B but taller than C. D is shorter than A but taller ...
Given Information:
A is shorter than B but taller than C.
D is shorter than A but taller than C.
E is shorter than B but taller than A.
To find:
The shortest person among A, B, C, D and E.
Solution:
Let's arrange the given information in tabular form:
Person | Relation with others
------ | --------------------
A | A < b,="" a="" /> C
B | B > A, B > E
C | C < a,="" c="" />< />
D | D < a,="" d="" /> C
E | E < b,="" e="" /> A
From the above table, we can conclude that:
- B is taller than A, and E is shorter than B, so A is shorter than E.
- A is taller than C, and D is shorter than A and taller than C, so D is the shortest person.
Therefore, the shortest person is D.
Hence, option (d) is the correct answer.
A is shorter than B but taller than C. D is shorter than A but taller ...
1) A is shorter than B but taller than C.
⇒ C < A < B
2) D is shorter than A but taller than C.
⇒ C < D < A < B
3) E is shorter than B but taller than A.
⇒ C < D < A < E < B
Therefore, C is the shortest.