If the HCF of \( p \) and \( q \) \( (p > q) \) is G, then which of the following statements is/are correct?
I. HCF of \( p \) and \( (p + q) \) is G
II. HCF of \( p \), \( (p - q) \) is G
Select the answer using the code given below:
The HCF and LCM of two numbers \( p \) and \( q \) are 44 and 4620 respectively. When \( p \) is divided by 55, the quotient is 4 and remainder is 0. What is the value of \( q \)?
What is the greatest possible speed at which a person can walk 13.3 km and 20.9 km so that the time (in hours) required in each case is a whole number?
Consider the following statements:
I. Two consecutive natural numbers are always co-prime.
II. If \( m \) and \( n \) are relatively prime, then \( m \times n \) is always even.
Which of the statements given above is/are correct?
