A blacksmith has five iron articles A, B, C, D, and E, each having a different weight.
1) A weighs twice as much as B.
2) B weighs four-and-a-halftimes as much as C.
3) C weighs half as much as D.
4) D weighs half as much as E.
5) E weighs 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 ?

Options

A. 1
B. 2
C. 3
D. None of these

Answer

D

Explanation

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 `AgtBgtEgtDgtC`.
Clearly, statement (5) is not required to determine the order of weights.