A number n in chosen at random from the set \{1.2.3....50\}. The probability that \sqrtn is an irrational number is

AP ICET 2017 Shift 2 Paper

Question : 148 of 200

Marks: +1, -0

A number n in chosen at random from the set

\{1.2.3....50\}

. The probability that

√n

is an irrational number is

Solution:

In n = {1, 2, 3, ..., 50}
Rational numbers are

√1,√4,√9√16,√25,√36

and

√49

i.e.,7
Required probability

={50-7}/50=43/50

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