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.
Which of the following is the lightest in weight ?

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of the above

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C F
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 $D = 9 \times \frac{G}{2} = \frac{9 G}{2}$
$[∵ F = \frac{G}{2}]$
Arrangement of rings to order of their weight in decreasing order : DEHGF
F is the lightest in weight.

Suggest Corrections

Similar questions

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 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.
If these rings are sold according to their weights, which ring fetches the highest value in rupees?

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.
Which of the following represents the descending order of the weights of the rings?

Q. A goldsmith has five gold rings, each having a different weight:
Statement 1 : Rind D is weighing twice as much as ring E.
Statement 2 : Ring E is weighing four times as much as ring F.
Statement 3 : Rind F is weighing half as much as ring G.
Statement 4 : Rind G is weighing half as much as ring H.
Statement 5 : Rind H is weighing less than ring D but more than ring F.
Which of the following represents the descending order of weights of rings?

Q. A gold smith has five gold rings each having different weight
Statement - 1 Ring A is weighing twice as much as ring B
Statement - 2 Ring B is weighing four times as much as ring C
Statement - 3 Ring C is weighing half as much as ring D
Statement - 4 Ring D is weighing one third much as ring E
Which of the following represents the descending order of weight of rings

Join BYJU'S Learning Program

The correct option is C FGiven that, D = 2E; E = 4.5F; F = G2; G = H2; F < H < D As D = 2E and E = 4.5F So, D = 2 × 4.5F = 9F and also D=9×G2=9G2 [∵ F=G2] Arrangement of rings to order of their weight in decreasing order : DEHGF F is the lightest in weight.