P, Q, R, S and T are standing in a line. P is taller than S but shorter than Q. T is shorter than S but taller than R. Who is the second tallest of them all?
- AT
- BS
- CR
- DP
Solution & Step-by-step Explanation
Let's write the given information in the form of mathematical inequalities representing height:
"P is taller than S but shorter than Q":
Q>P>S
"T is shorter than S but taller than R":
S>T>R
Combining both statements into a single inequality chain:
Q>P>S>T>R
Arranging them from tallest to shortest:
Tallest: Q
Second tallest: P
Third tallest (Middle): S
Fourth tallest: T
Shortest: R
Thus, P is the second tallest.
"P is taller than S but shorter than Q":
Q>P>S
"T is shorter than S but taller than R":
S>T>R
Combining both statements into a single inequality chain:
Q>P>S>T>R
Arranging them from tallest to shortest:
Tallest: Q
Second tallest: P
Third tallest (Middle): S
Fourth tallest: T
Shortest: R
Thus, P is the second tallest.