When ${(55)}_{10}$ is represented in base 25 then the expression is

{(25)}_{25}

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{(35)}_{25}

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{(55)}_{25}

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none of these

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Solution

The correct option is B ${(25)}_{25}$
To convert the decimal number 55 to base 25, divide 55 by 25 successively till the quotient becomes 0 and note the remainders.
$\frac{55}{25} = 2$ with remainder 5
$\frac{2}{25} = 0$ with remainder 2
Now read the remainder from bottom to top.
Hence the 25 is correct

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When (55)10 is represented in base 25 then the expression is

The correct option is B (25)25To convert the decimal number 55 to base 25, divide 55 by 25 successively till the quotient becomes 0 and note the remainders.5525=2 with remainder 5225=0 with remainder 2Now read the remainder from bottom to top.Hence the 25 is correct

When ${(55)}_{10}$ is represented in base 25 then the expression is