A circle passes through (−2, 4) and touches the y-axis at (0, 2). Which one of the following equations can represent a diameter of this circle?

Consider the following two statements :

P :     If 7 is an odd number, then 7 is divisible by 2.
Q :    If 7 is a prime number, then 7 is an odd number

If  V₁ is the truth value of the contrapositive of P and V₂ is the truth value of contrapositive of Q, then the ordered pair (V₁ , V₂) equals :

The shortest distance between the lines $${x \over 2} = {y \over 2} = {z \over 1}$$ and
$${{x + 2} \over { - 1}} = {{y - 4} \over 8} = {{z - 5} \over 4}$$ lies in the interval :

If the mean deviation of the numbers 1, 1 + d, ..., 1 +100d from their mean is 255, then a value of d is :