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Rahul Sawant

· started a discussion

· 1 Months ago

is it rightly solved (Question: 130759.0 )

is it rightly solved

if E is half of G then how can it be E>G

Question:

DIRECTIONS: A jeweller has five diamond stones, each having a different weight.


Statement (a): Stone D weighs twice as much as stone E.

Statement (b): Stone E weighs four and one-half times as much as stone F.

Statement (c): Stone F weighs half as much as stone G.

Statement (d): Stone G weighs half as much as stone H.

Statement (e): Stone H weighs less than stone D but more than stone F.


Based on the above statements, answer the following question.


Which of the following is the lightest in weight?

Options:
A)

Stone D 

B) Stone E     
C) Stone F     
D) Stone G
Solution:

..Given,

\(\Rightarrow\)    D= 2E

\(\Rightarrow\)    E = 4.5 F

\(\Rightarrow\)    F =\(\frac{1}{2}\) G

\(\Rightarrow\)    G =\(\frac{1}{2}\) H

\(\Rightarrow\)    D > H > F

 Let

H = 10 so,

G = 10 / 2 = 5

F = 5 /2 = 2.5

E = 2.5 x 4.5 = 11.25

D = 2 x 11.25 = 22.5

So, the order of weights can be D > E > H > G > F.

Knowledge Expert

· commented

· 1 Months ago

..Given,
⇒ D= 2E
⇒ E = 4.5 F
⇒ E=1/2 G
⇒ G =1/2 H
⇒ D > H > F

So, the order of weights can be D > H > G>E > F.

Knowledge Expert

· commented

· 1 Months ago

Yet to be approved!
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