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Question

# Among the given rational numbers, find the second largest number. <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> −43, <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> −78, <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> −912, <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> −1924

A
912
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B
1924
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C
78
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D
43
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Solution

## The correct option is B −1924Taking the LCM of the denominators, we first convert the given rational numbers into rational numbers having the same denominator. LCM of 24, 12, 8 and 3 is 24. −43 = −4×83×8 = −3224 −78 = −7×38×3 = −2124 −912 = −9×212×2 = −1824 −1924 = −19×124×1 = −1924 Now, −18>−19>−21>−32. So, the second largest number is −1924

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