\( p \) varies directly as \( (x^{2} + y^{2} + z^{2}) \). When \( x = 1 \), \( y = 2 \), \( z = 3 \), then \( p = 70 \). What is the value of \( p \) when \( x = -1 \), \( y = 1 \), \( z = 5 \)?
Train X crosses a man standing on the platform in 24 seconds and train Y crosses a man standing on the platform in 18 seconds. They cross each other while running in opposite directions in 20 seconds. What is the ratio of speed of X to speed of Y?
Let \( p \), \( q \) be the roots of the equation \( x^{2} + mx - n = 0 \) and \( m \), \( n \) be the roots of the equation \( x^{2} + px - q = 0 \) (\( m \), \( n \), \( p \), \( q \) are non-zero numbers). Which of the following statements is/are correct?
I. \( m(m + n) = -1 \)
II. \( p + q = 1 \)
Select the answer using the code given below:
