InterviewSolution
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InterviewSolution
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`(1/3 . 1/3 . 1/3 +1/4 . 1/4 . 1/4 - 3 1/3 . 1/4 . 1/5 + 1/5 . 1/5 . 1/5)/(1/3 . 1/3 + 1/4 . 1/4 + 1/5 . 1/5 - (1/3 . 1/4 + 1/4 . 1/5 + 1/5 . 1/3))` किसके बराबर है?A. `2/3`B. `3/4`C. `47/60`D. `49/60` |
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Answer» Correct Answer - C `(1/3xx1/3xx1/3+1/4xx1/1xx1/4-3xx1/3xx1/4xx1/5+1/5xx1/5xx1/5)/(1/3xx1/3+1/4xx1/4+1/5xx1/5-(1/3xx1/4+1/4xx1/5+1/5xx1/3))` `A^(3)+B^(3)+C^(3)-3ABC=(A+B+C)(A^(2)+B^(2)+C^(2)-AB-BC-CA)` `:. ((1/3)^(3)+(1/4)^(3)-3xx1/3xx1/4xx1/5+(1/5)^(3))/((1/3)^(3)+(1/4)^(2)+(1/5)^(2)-1/3xx1/4-1/4xx1/5-1/5xx1/3)` `=((1/3+1/4+1/5)|__(1/3)^(2)+(1/4)^(2)+(1/5)^(2)-1/3xx1/4-1/4xx1/5-1/5xx1/3__|)/([(1/3)^(2)+(1/4)^(2)+(1/5)^(2)-1/3xx1/4-1/4xx1/5-1/5xx1/3])` `=(20+15+12)/60=47/60` |
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