Question
A, B, C, D, E, and F, each have different heights. Only
one person is taller than C. The shortest height is 160 cm. A is 170 cm tall. The tallest height is 174 cm. F is shorter than A but taller than D. B is not 160 cm tall. D is 162 cm tall. What can be the possible height of F?Solution
F can be 164 cm, 166 cm, or 168 cm . Reasoning (concise): Six people have distinct heights; shortest = 160 , tallest = 174 . D = 162 , A = 170 . “Only one person is taller than C” ⇒ C is second tallest , so the tallest (174) is someone else. B is not 160 , and F is shorter than A (170) but taller than D (162) ⇒ F must be one of 164, 166, 168. 160 cannot be B (B ≠160) and cannot be A, D, or F (given values/constraints), so 160 must be E; 174 must be B; C becomes the remaining highest value (e.g., 172). All three candidates 164, 166, 168 for F are consistent with the conditions. Hence F = 164 cm or 166 cm or 168 cm .
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