A blacksmith has five iron articles A, B, C, D and E, each having a different weight. (i) A weights twice as much as B. (ii) B weights four and a half times as much as C. (iii) C weights half as much as D. (iv) D weights half as much as E. (v) E weights less than A but more than C.
Which of the above given statements is not necessary to determine the correct order of articles according to their weights ?
Answer: E. 5
Let C's weight be x. Then, D's weight is 2x. E's weight is 4x. B's weight is 4.5x and A's weight is 9x. So, the order of weights can be A > B > E > D > C.
Clearly, statement (5) is not required to determine the order of weights.