Direction: Read the following information carefully and answer the questions that follow.
A blacksmith has five iron articles A, B, C, D and E each having a different weight.
I. A weight is twice as much as of B.
II. B weight is four and half times as much as of C.
III. C weight is half times as much as of D.
IV. D weight is half as much as of E.
V. E weight is less than A but more than C.
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Which of the following is the lightest in weight?
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- A
- B
- C
- D
Correct Option: C
According to question,
A's weight is twice as much as of B.
1. A = 2B.
B's weight is four and half times as much as of C.
2. B = 4.5C
C's weight is half times as much as of D.
3. C = D/2.
D's weight is half as much as of E.
4. D = E/2.
E weight is less than A but more than C.
5. A > E > C
from 1 and 2
6. A = 2B = 9C
from 6 and 3
7. A = 2B = 9C = 4.5D
from 7 and 4
8. A = 2B = 9C = 4.5D = 2.25E
so from 8 and 5
A > B > E > D > C
So lightest in weight is C.
