Study the following information and answer the question given below:
A family has 5 members P, Q, R, S and T, each having a different weight.
i. P weighs twice as much as Q.
ii. Q weighs four and a half times as much as R.
iii. R weighs half as much as S.
iv. S weighs half as much as T.
v. T weighs less than P but more than R.
Which of the following members of the family is the lightest in weight?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → R
The clues link every member's weight to R's, so write each weight in units of R's weight and compare the numbers.
Assuming R's weight to be 1 unit:
R weighs half as much as S, so S = 2
S weighs half as much as T, so T = 4
Q weighs four and a half times as much as R, so Q = 4.5
P weighs twice as much as Q, so P = 9
T (4) is less than P (9) and more than R (1), as clue (v) says. Every other member weighs more than 1 unit, so R is the lightest.
