If `A={x|x` is prime number and `x<30},` find the number of different rational numbers whose numerator and denominator belong to `Adot`

State which of the following sets are finite sets or infinite. In case of finite set, mention the order of cardinal number (i) A=("x:x is a prime number and "x lt 15) (ii) B=(x:x in N, and 3x+2=11) (iii) C=(x:x in N and x^(2)-14x+3=0) (iv) D=(1,2,3,4....)

For each of the following pairs of sets , identify the disjoint and overlapping sets: A = { x: x is a prime number , x lt 8 } B = {x: x is an even natural number , x lt 8 } .

If P={x:x is a prime number is less than 20} and M={x:x is a multiple of 6, 0 lt x lt 30} then n(P)-n(M) is

The contrapositive of the statement If x is a prime number then x is odd is

Let A={x:x is a prime number less than 10} and B= {x:x in N and 0 lt x -2 le 4} then A-B is

Write the contrapositive of the following statements: (i)If x is prime number then x is odd (ii)If two lines re parallel then they do not intersect in the same plane. (iii) x is even number implies that x is divisible by 4.

State which of the follwing sets are finite sets or infinite. In case of finite set, mention the order cardinal. (i) A=(x:x is a prime number) (ii) B=(x:x in R, x^(2)-8x-20=0) (iii) C={x:x in N, 5x+2=11}

Find the cardinal number of the following sets : E={x|x is a prime number between 8 and 30}.

Let f(x) = [ n + p sin x], x in (0,pi), n in Z , p is a prime number and [x] = the greatest integer less than or equal to x. The number of points at which f(x) is not not differentiable is :

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(i) A nnB (ii) A nnC (iii) A nnD (iv) B nnC (v) B nnD (vi) C nnD