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Question

Select the rational numbers which lie between 25 and 310. Use the LCM method.


A

1310, 1410, and 1510.

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B

1340, 1440, and 1540.

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C

1320, 1420, and 1520.

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D

135, 145, and 1520.

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Solution

The correct option is B

1340, 1440, and 1540.


The two given fractions are 25 and 310. The LCM of their denominators is 10. So, we multiply both the numerator and denominator of 25 with 2 so as to make both the fractions on the same base.

Hence, the two fractions become 410 and 310. To find three numbers between them, we need to take n=3+1=4 and multiply nn with the fractions.

So, we get two fractions as 1240 and 1640.

Hence, the three fractions between them are 1340, 1440, and 1540.


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