1.

Which among `4^(-2),3^(-2),2^(-2)` and `5^(-2)` is the greatest?A. `4^(-2)`B. `3^(-2)`C. `2^(-2)`D. `5^(-2)`

Answer» Correct Answer - C
`4^(-2),3^(-2),5^(-2)`
`rArr (1)/(4^2),(1)/(3^2),(1)/(2^2),(1)/(5^2)`
`rArr (1)/(16),(1)/(9),(1)/(4),(1)/(25)`
Since , the numerators of the given fractions are same, the fraction which has the least denominator has the greatest value.
`therefore (1)/(4)` is the greatest among the given fractions.
Hence, the correct option is (c).


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