Below are three questions on numbers on concepts dealing with odd and even and a new class called "even-odd" numbers. Question 1 If n is an even-odd number then which of the following must be false? (A number is called "even-odd" if it is halfway between an even integer and an odd integer.) a) n/2 is not an integer b)(2n) 2 is an integer c)4n is an odd integer d)none of these Answer : c)4n is an odd integer Solution: A number is called "even-odd" if it is halfway between an even integer and an odd integer. For example, consider an even integer 10 and an odd integer -5. Number halfway between them will be (10 - (-5)) / 2 = 7.5. Here 7.5 is an "even-odd" number. i.e., an even-odd number will be in the form x + 1/2 = x.5 where x is any integer. Let us see with each option: Consider option a : Since n is a fraction number then n/2 is also a fraction. i.e., n/2 is not an integer. Hence option a is true. Consider option b :...
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