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Q.


Ramesh, Sheelu, and Jamaal had 20, 50 and 80 pencils respectively. 4 months later, Ramesh, Sheelu and Jamaal used up 10, 25 and 40 pencils respectively. Which is the correct option for the fraction each use up and whether all fractions equal or not?

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a

1 2 , 1 2 and 1 2 ; Equal

b

1 2 , 1 2 and 1 2 ; Unequal

c

2, 2 and 2; Equal

d

2, 2 and 2; Unequal 

answer is A.

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Detailed Solution

Given that, Ramesh, Sheelu, and Jamaal had 20, 50 and 80 pencils respectively. 4 months later, Ramesh, Sheelu and Jamaal used up 10, 25 and 40 pencils respectively.
Here, the fraction will be represented by the ratio of the number of pencils used to the total number of pencils.
Total number of pencils Ramesh had = 20
Total number of pencils used by Ramesh = 10
Total number of pencils Sheelu had = 50
Total number of pencils used by Sheelu = 25
Total number of pencils Jamaal had = 80
Total number of pencils used by Jamaal = 40
Hence,
Fraction for pencils used by Ramesh = 10 20
                                                            = 1 2
Fraction for pencils used by Sheelu = 25 50
                                                          = 1 2
Fraction for pencils used by Jamaal = 40 80
                                                          = 1 2
All three fractions are equal.
So, option 1 is correct.
 
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