Directions: Study the information given below and answer the question that follows.i) P, Q, R, S and T are five friends. Each has different… — Answer & Discussion

Directions: Study the information given below and answer the question that follows.
i) P, Q, R, S and T are five friends. Each has different heights.
ii) P’s height is twice as much as Q.
iii) Q’s height is four and a half times as much as R.
iv) R’s height is half as much as S.
v) S’s height is half as much as T.
vi) T’s height is less than P but more than R.
Who is third if all are arranged in ascending order by their heights?

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Discussion 1

CCommunity02 Jul 2019

According to the information given,

i) P’s height is twice as much as Q.

P = 2Q or P > Q

ii) Q’s height is four and a half times as much as R.

Q = (9/2) R → 2Q = 9R → Q > R

iii) R’s height is half as much as S.

2R = S → S > R

iv) S’s height is half as much as T.

2S = T → T > S

v) T’s height is less than P but more than R.

P > T > R

2Q = 9R → 4Q = 9 × 2R → 4Q = 9S → 8Q = 9 × 2S → 8Q = 9T → Q > T

Hence, P > Q > T > S > R

Thus T is the third after arranging in ascending order.