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 ?**

** Option:**

**A.**1

**B.**2

**C.**3

**D.**4

**E.**5

**Answer: E . 5**

** Justification:**

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.**