Question

A blacksmith has five iron articles A, B, C, D and E, each having a different weight.
(i) A weight 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 weighs half as much as E.
(v) E weighs less than A but more than C.
Which of the following is the lightest?

• A. A
• B. B
• C. C
• D. D

Answer 1

Answer: (C)

C

$A=2B$

$B=4\frac{1}{2}C$

$C=\frac{1}{2}D$

$D=\frac{1}{2}E$

$C<E<A$

so, $C<E,C<A,C<B,C<D$

so we can say that $C$ is the lightest.