RULE is: \[a\,B={{a}^{2}}-1.\,{{b}^{2}}-1\] \[43={{4}^{2}}-{{1.3}^{2}}-1=158;\] \[35={{3}^{2}}-{{1.5}^{2}}-1=824\] \[42={{4}^{2}}-{{1.2}^{2}}-1=153\] \[\therefore \]    \[31={{3}^{2}}-{{1.2}^{2}}-1=83\]

"> RULE is: \[a\,B={{a}^{2}}-1.\,{{b}^{2}}-1\] \[43={{4}^{2}}-{{1.3}^{2}}-1=158;\] \[35={{3}^{2}}-{{1.5}^{2}}-1=824\] \[42={{4}^{2}}-{{1.2}^{2}}-1=153\] \[\therefore \]    \[31={{3}^{2}}-{{1.2}^{2}}-1=83\]

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DIRECTIONS: In each of the following questions, three statements of numbers following same rules are given. Find the rule and accordingly find the value of the number? If 43 = 158; 35 = 824; 42 = 153; then 32 =?

7th Class Mathematics in 7th Class . 9 months ago

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The RULE is: \[a\,B={{a}^{2}}-1.\,{{b}^{2}}-1\] \[43={{4}^{2}}-{{1.3}^{2}}-1=158;\] \[35={{3}^{2}}-{{1.5}^{2}}-1=824\] \[42={{4}^{2}}-{{1.2}^{2}}-1=153\] \[\therefore \]    \[31={{3}^{2}}-{{1.2}^{2}}-1=83\]

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