If x is a natural number
If `x^2+ax+b` is a perfect square prove that `a^2=4b`

If A = {x : x is a natural number}, B = {x : x is an even natural number}, C = {x : x is an odd natural number} and D = {x : x is a prime number}, Find : A cap B A cap C B cap D C cap D .

A number is selected at random from 1 to 50. What is the probability that it is (a) a prime number (b) not a perfect cube (c) a perfect square (d) a triangular number (e) a multiple of 6 (f) not a multiple of 2

If A = { x : x is a natural number }, B = { x : x is an even natural number} C = { x : x is an odd natural number} and D = { x : x is a prime number }, find B ∩ C

If A = { x : x is a natural number }, B = { x : x is an even natural number} C = { x : x is an odd natural number} and D = { x : x is a prime number }, find B ∩ D

If A = { x : x is a natural number }, B = { x : x is an even natural number} C = { x : x is an odd natural number} and D = { x : x is a prime number }, find A ∩ B

Let A={x : x is a natural number}, B ={x : x is an even natural number} C={x : x is an odd natural number and D={x : x is a prime number} Find A cap B, A cap C, A cap D, B cap C, B cap D and C cap D .

If A = { x : x is a natural number }, B = { x : x is an even natural number} C = { x : x is an odd natural number} and D = { x : x is a prime number }, find A ∩ C

If A = { x : x is a natural number }, B = { x : x is an even natural number} C = { x : x is an odd natural number} and D = { x : x is a prime number }, find A ∩ D