Question

Among the four students P,Q,R,S who is the shortest? Statements. 1. R is taller Q but smaller than P. 2. Q is taller than S

Answer 1

Answer:

s is the shortest

Step-by-step explanation:

because p is taller than r, r is taller than q, q is taller than s

Answer 2

S is the shortest among P, Q, R, and S.

As it is clear from statement 1, R is taller than Q but smaller than P. It means the height of R lies in between that of P and Q.

To understand this, and make it more clear, let's express this in symbolic form, as follows:

P > R > Q.

Now, according to the condition given in statement 2, Q is taller than S. This implies that the height of S is less than that of Q. Writing this symbolically,

Q > S.

As we can see from the previous condition Q is the shortest among P, Q, R. And, from the second condition, S is smaller than Q. Thus, on combining both the conditions, we get,

P > R > Q > S.

Thus, S is the shortest.