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Q.

The number that should be subtracted from 5 3   to get 5 6   is:


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a

5 2  

b

3 2  

c

5 4  

d

5 2   

answer is D.

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Detailed Solution

Given a rational number 5 3  .
Let the required rational number = x.
According to the question,
5 3 x= 5 6 x= 5 3 5 6 x= 5 3 + 5 6   Taking L.C.M and simplifying,
L.C.M of 3 and 6 is 6.
Multiplying both terms to get 6 in denominator,
5×2 3×2 = 10 6 5×1 6×1 = 5 6   Now,
x= 5 3 + 5 6 x= 10 6 + 5 6 x= 15 6 x= 5 2   The required rational number = 5 2  .
Hence, option 4 is correct.
 
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