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Question

Which of the following lies between 254 and 223?


A
132
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B
152
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C
172
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D
8
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Solution

The correct option is A 132

Rational numbers can be compared by making their denominators equal.

Here, we need to compare all given rational numbers 254,223,132,152,172 and 81.

We know LCM of 1, 2, 3 and 4, i.e., the denominators of the above fractions, is 12.

Converting all the above fractions into like fractions, we get

254=25×34×3=7512

223=22×43×4=8812

132=13×62×6=7812

152=15×62×6=9012

172=17×62×6=10212

8=81=8×121×12=9612

Arranging these fractions in an ascending order, we have
7512,7812,8812,9012,9612,10212

Thus, 132 lies between 254 and 223.


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