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Among P, Q, R, S and T each having a different height, Q is taller than S. T is shorter than P. R is taller than Q but shorter than T. Who among them is the shortest?
- a)S
- b)P
- c)R
- d)Data inadequate
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Among P, Q, R, S and T each having a different height, Q is taller tha...
P > T > R > Q > S
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Among P, Q, R, S and T each having a different height, Q is taller tha...
Given information:
- P, Q, R, S and T each have a different height.
- Q is taller than S.
- T is shorter than P.
- R is taller than Q but shorter than T.
To determine: Who among them is the shortest?
Solution:
- We know that T is shorter than P, and all the other heights are in between these two.
- Also, Q is taller than S, so Q and R must be taller than S.
- According to the given information, R is taller than Q but shorter than T. Therefore, the order of heights from tallest to shortest is: T > R > Q > S.
- Since all five heights are different, P must be somewhere in between T and R, but we don't know exactly where.
- However, we can conclude that S is the shortest among them because it is below all the other heights in the order we have established.
Therefore, the correct answer is option A, S.
Note: If we had more information about the relative heights of P and S, we could have determined the exact order of all five heights.
- P, Q, R, S and T each have a different height.
- Q is taller than S.
- T is shorter than P.
- R is taller than Q but shorter than T.
To determine: Who among them is the shortest?
Solution:
- We know that T is shorter than P, and all the other heights are in between these two.
- Also, Q is taller than S, so Q and R must be taller than S.
- According to the given information, R is taller than Q but shorter than T. Therefore, the order of heights from tallest to shortest is: T > R > Q > S.
- Since all five heights are different, P must be somewhere in between T and R, but we don't know exactly where.
- However, we can conclude that S is the shortest among them because it is below all the other heights in the order we have established.
Therefore, the correct answer is option A, S.
Note: If we had more information about the relative heights of P and S, we could have determined the exact order of all five heights.
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