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Question

Out of the following rational numbers, which one is the greatest : 45, 23, 78 and 56


A

78

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B

56

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C

23

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D

45

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Solution

The correct option is C

23


To compare the given numbers, we first have to make the denominator same by finding the LCM.

LCM of 5, 3, 8 and 6 is 120

When we rewrite the numbers with denominator as 120 we get :

4×245×24 , 2×403×40 , 7×158×15, 5×206×20

96120 , 80120, 105120, 100120

Comparing these numbers we get : 105120 < 100120< 96120< 80120

80120 = 23 is the Greatest Rational number out of the given numbers.


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