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Question

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