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Q.

Find five rational numbers between 3 2   and 5 3   .


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a

7 24 , 8 24 , 9 24 , 10 24 , 11 24  

b

9 25 , 3 10 , 1 10 , 1 25 , 2 25  

c

49 80 , 5 8 , 51 80 , 26 40 , 27 40  

d

1 6 , 2 6 , 3 6 , 4 6 , 5 6    

answer is D.

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Detailed Solution


It is given 3 2   and 5 3  .
Multiplying by 3 to make the denominators same for both the given numbers,
= 3 2 = 3×3 2×3 = 9 6  
Multiplying by 2,
= 5 3 = 5×2 3×2 = 10 6  
The five rational numbers that lie betweenQuestion Image and 10 6   i.e., 3 2   and 5 3   are,
= 1 6 , 2 6 , 3 6 , 4 6 , 5 6  
Therefore, the five rational numbers between 3 2   and 5 3   are 1 6 , 2 6 , 3 6 , 4 6 , 5 6  .
Correct option is 4.
 
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