InterviewSolution
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InterviewSolution
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यदि तीन क्रमागत प्राकृत संख्याओं के वर्गों का योग 110 है तो उनमें से सबसे छोटी प्राकृत संख्या क्या है?A. 8B. 6C. 7D. 5 |
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Answer» Correct Answer - D Let the three consecutive numbers are `x,x+1,x+2`. According to the question `impliesx^(2)+(x+1)^(2)+(x+2)^(2)=110` `impliesx^(2)+x^(2)+1+2x+x^(2)+4+4x=110` `implies 3x^(2)+6x+5=110` `implies 3x^(2)+6x-35=0` `implies x^(2)+8x-5x-35=0` `impliesx^(2)+7x-5x-35=0` `implies x(x+7)-5(x+7)=0` `implies (x+7)(x-5)=0` `implies x=5` & `-7` `( :. (-)` value cannot considered ) `:. ` Smallest number is `=5` Alternatively: You can also solve using options. |
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