Question : Directions: Among five objects P, Q, R, S, and T, Q is twice as heavy as P. S is twice as heavy as Q. R is half as heavy as T. T is equally as heavy as Q. Which is the heaviest among all five objects?
Option 1: Q
Option 2: S
Option 3: T
Option 4: R
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Correct Answer: S
Solution :
Given:
(I) Among five objects P, Q, R, S, and T, Q is twice as heavy as P.
Q = 2P
(II) S is twice as heavy as Q.
S = 2 × 2P = 4P
(III) R is half as heavy as T.
R = 1/2 T
(IV) T is equally as heavy as Q.
T = 2P
According to the given equations above the weight of five objects is as follows.
⇒ Q = 2P; S = 4P; T = 2P; R = 1/2 T = 1/2 × 2P = P;
Let the value of P be 1.
Q = 2; S = 4; T = 2; R = 1, P = 1
Thus, the weight of Q = 2, S = 4; T = 2; R = 1; P =1
So, S is the heaviest among all objects. Hence, the second option is correct.
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