1.

m and n are integers and  \(\sqrt {mn}\) =10 . Which of the following cannot be a value of m + n ? (a) 25 (b) 52 (c) 101 (d) 50

Answer»

(d) 50

\(\sqrt {mn}\) =10 \(\Rightarrow\) mn = 100 

\(\therefore\) The possible pairs of m and n are 

(m, n) = (1, 100), (2, 50), (4, 25), (5, 20), (10, 10) 

\(\Rightarrow\) m + n can be 101, 52, 29, 25, 20 

So 50 cannot be a value of m + n.



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