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Among persons U, V, W, X, Y and Z, it is known that: U is taller than at least persons. W is taller than V, who is taller than exactly person. X is not shorter than W. Y is taller than U and X is shorter than U. Who is 4th tallest among them?

  1. A
    X
  2. B
    V
  3. C
    U
  4. D
    W

Solution & Step-by-step Explanation

Let the positions from 1st (tallest) to 6th (shortest) be represented as .
* "V is taller than exactly 1 person" V is at .
* Thus, is the only person shorter than V.
* "W is taller than V" W must be in one of the positions .
* "U is taller than at least 3 persons" U can be or .
* "Y is taller than U and X is shorter than U" .
* Since , U cannot be . Thus U is either or .
* Let's check if : Then . Since is shorter than , X must be in . We are given "X is not shorter than W", meaning .
* The remaining slots for W, X, and Z are and .
* Since and both must be taller than V (), X must be and W must be . Consequently, Z must be .
* Let's verify the ordering: .
* Let's check all conditions:
* U () is taller than 4 persons (at least 3) — True.
* W () is taller than V () — True.
* V is taller than exactly 1 person (Z) — True.
* X () is not shorter than W () — True.
* Y () is taller than U () and X () is shorter than U () — True.

* The 4th tallest person () is W.

Practice this question

Try it yourself before checking the explanation above.

Among persons U, V, W, X, Y and Z, it is known that: U is taller than at least persons. W is taller than V, who is taller than exactly person. X is not shorter than W. Y is taller than U and X is shorter than U. Who is 4th tallest among them?
A
X
B
V
C
U
D
W

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