2021 · Q100
Consider the following for the next two (02) items that follow : Collect all the sequences of five consecutive integers such that their product is equal to one of these integers. Let X be the collection of all possible such sequences. Let P be the smallest integer and Q be the largest integer occurring in these sequences. What is the arithmetic mean of P and Q ?
Elementary MathematicsNumber System
- A0
- B1
- C2
- DCannot be determined due to insufficient data
Explanation
The five sequences are {−4,…,0}, {−3,…,1}, {−2,…,2}, {−1,…,3}, {0,…,4}. The smallest integer occurring anywhere is P = −4 and the largest is Q = 4. Their arithmetic mean is (−4+4)/2 = 0, option (a).