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Answer :
Final answer:
Given the conditions specified for the different heights, the possible height of person 'f' can be between 163 cm and 169 cm.
Explanation:
Given the heights and conditions provided, let's determine the possible height of person f.
The tallest height is 174 cm and only one person is taller than c, thus c can't be 174 cm.
The shortest height is 160 cm. a is 170 cm tall, f is shorter than a but taller than d who is 162 cm tall.
Thus, f could have a height of 163 cm, 164 cm, 165 cm, 166 cm, 167 cm, 168 cm, or 169 cm.
The only limitation is that b is not 160 cm tall, but since b's height hasn't been compared to f, b's height doesn't directly impact the possible height range of f.
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