Question

A goldsmith has five gold rings, each having a different weight. They are labelled as D, E, F, G and H. Their peculiarities are given in the following 5 statements.
I. Ring D weighs twice as much as ring E.
II. Ring E weighs four and a half times much as ring F.
III. Ring F weighs half as much as ring G.
IV. Ring G weighs half as much as ring H.
V. Ring H weighs less than ring D but more than ring F.
Ring H is heavier than which of the following two rings?

• A. GE
• B. GF
• C. DF
• D. DE
• E. None of the above

Answer 1

The correct option is B GF

Given that,
D = 2E; E = 4.5F; F = $\frac{G}{2}$; G = $\frac{H}{2}$; F < H < D
As D = 2E and E = 4.5F
So, D = 2 $\times$ 4.5F = 9F
and also $D=9\times \frac{G}{2}=\frac{9G}{2}$
$[\because F=\frac{G}{2}]$
Arrangement of rings to order of their weight in decreasing order : DEHGF
Clearly, ring H is heavier than G and F.