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Q.

Find ten rational numbers between 3 5   and 3 4   .


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a

49 80 , 5 8 , 51 80 , 26 40 , 27 40 , 11 16 , 28 40 , 57 80 , 29 40 , 59 80  

b

9 25 , 3 10 , 1 10 , 1 25 , 2 25 , 1 10 , 4 25 , 16 25 , 3 25 , 2 5  

c

1,2,3,4,5,6,7,8,9,10

d

None of the above. 

answer is A.

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Detailed Solution

It is given, 3 5   and 3 4  .
Multiply by 16 in the numerator and denominator of the fraction to make the denominators same for both the given numbers,
3 5 = 3×16 5×16 = 48 80  
Multiply by 20 in the numerator and denominator of the fraction,
3 4 = 3×20 4×20 = 60 80  
The ten rational numbers between Question Imageand 60 80   i.e, 3 5   and 3 4   are,
= 49 80 , 50 80 , 51 80 , 52 80 , 54 80 , 55 80 , 56 80 , 57 80 , 58 80 , 59 80  
Hence, the ten rational numbers between are 49 80 , 5 8 , 51 80 , 26 40 , 27 40 , 11 16 , 28 40 , 57 80 , 29 40 , 59 80  .
Correct option is 1.
 
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