Prove that `(i) 28, (ii) 496` are perfect number

Is 28 a perfect no ?

Cards numbered 1 to 30 are put in a bag. A card is drawn at random from the bag. Find the probability that the number on the drawn card is (i) not divisible by 3, (ii) a prime number greater that 7, (iii) not a perfect square number.

Prove that sqrtn , n being not a perfect square, is not a rational number.

A bag contains tickets numbered from 10 to 50 . One ticket is drawn at random . Find the probability that the number on the card is (i) prime (ii) a perfect square .

Prove that: (i) the sum of a complex number and its conjugate is real (ii) the product of a complex number and its conjugate is real.

A number is selected at random from integers 1 to 100 . Find the probability that it is (i) a perfect square (ii) not a perfect cube.

Prove that sqrt(n) is not a rational number. if n is not a perfect square.

Prove that sqrt(n) is not a rational number. if n is not a perfect square.

Prove that sqrt(n) is not a rational number.if n is not a perfect square.

Cards numbered from 11 to 60 are kept in a box. If a card is drawn at random from the box, find the probability that the number on the drawn cards is (i) an odd number (ii) a perfect square number