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Let `S(n)` denotes the number of ordered pairs `(x,y)` satisfying `1/x+1/y=1/n,AA ,n in N` `S(10)` equalsA. S(3)+S(4)B. S(5)+S(6)C. S(8)+S(9)D. S(1)+S(11) |
Answer» Correct Answer - C `because 6^(2)=2^(2)*3^(2)` `impliesS(6)=3xx3=9 and 7^(2)impliesS(7)=3` `thereforeS(6)+S(7)=12` also, `8^(2)=2^(6)` `impliesS(8)=7 and 9^(2)=3^(4) impliesS(9)=5` `thereforeS(8)+S(9)=12` `impliesS(6)+S(7)=S(8)+S(9)=12`. |
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