Q20. Ramesh wants to participate in the 200m sprint. He can currently run that distance in 45 seconds, but he wants to do it in below 30 seconds. With
each day of practice it takes him 2 second less. Respond to the above
situation by answering the questions given below.

1. Which of the following forms an A. P. for the above given situation?

a.45,90,180 b.45,47,49 C. 45,43,41d.-45,47,48
2. What is the minimum number of days he needs to practice till his goal
accomplished.

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?