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Quiz about Odd or Even
Quiz about Odd or Even

Odd or Even? Trivia Quiz


Mr. Odd and Mr. Even are arguing over some mathematics questions. Can you help them out by solving these 10 questions regarding odd and even numbers? Enjoy!

A multiple-choice quiz by Matthew_07. Estimated time: 4 mins.
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Author
Matthew_07
Time
4 mins
Type
Multiple Choice
Quiz #
282,525
Updated
Dec 03 21
# Qns
10
Difficulty
Average
Avg Score
6 / 10
Plays
2305
Last 3 plays: Guest 75 (9/10), winston1 (4/10), Dagny1 (8/10).
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Question 1 of 10
1. What is the term or name given to describe whether a number is odd or even? Hint


Question 2 of 10
2. An odd number is the number in the form of 2n + 1. On the other hand, an even number is represented in the form of 2n. What is n? Hint


Question 3 of 10
3. An integer is odd if it ends with 1, 3, 5, 7 or 9. On the other hand, it is an even integer if it ends with 0, 2, 4, 6 or 8. But how about the numbers that are expressed in the binary system (only number 0 and 1 are used)? When written in the binary system, an odd number always ends with ___.

Answer: (0 or 1?)
Question 4 of 10
4. Choose the WRONG statement. Hint


Question 5 of 10
5. We define a factorial operation n! as n(n-1)(n-2)...(2)(1). All factorial operations will result in even numbers (for example, 4! = 4 x 3 x 2 x 1 = 24, where 24 is an even number) with 2 exceptions, namely ______. Hint


Question 6 of 10
6. Which of the following arithmetic operations will result in an odd number? Hint


Question 7 of 10
7. A function f is called an even function if f(x) = f(-x), that is, the function is symmetric with respect to the y-axis. Which of the following is an even function? Hint


Question 8 of 10
8. An odd function is the function in the form of -f(x) = f(-x). This type of function is symmetric with respect to the origin. In other words, the graph will look exactly the same if it rotates ___ degrees about the origin. Hint


Question 9 of 10
9. In Roman numerals, which of the following is an odd number? Hint


Question 10 of 10
10. Let A be the sum of all the odd numbers from 1 to 100 and B be the sum of all the even numbers from 1 to 100. Choose the CORRECT statement. Hint



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Most Recent Scores
Mar 03 2024 : Guest 75: 9/10
Feb 09 2024 : winston1: 4/10
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quiz
Quiz Answer Key and Fun Facts
1. What is the term or name given to describe whether a number is odd or even?

Answer: Parity

In layman's term, we often say a number is either odd or even. However, in the field of mathematics, this is referred as the parity of a number.
2. An odd number is the number in the form of 2n + 1. On the other hand, an even number is represented in the form of 2n. What is n?

Answer: Natural numbers

Natural numbers (1, 2, 3...) are also known as counting numbers. Meanwhile, a rational number is a number which can be written in the form of p/q, where both p and q are integers (..., -2, -1, 0, 1, 2...) and q is not equal to 0.

On the other hand, irrational numbers are numbers that are not rational numbers. Natural numbers, rational numbers and irrational numbers are subsets for real numbers.
3. An integer is odd if it ends with 1, 3, 5, 7 or 9. On the other hand, it is an even integer if it ends with 0, 2, 4, 6 or 8. But how about the numbers that are expressed in the binary system (only number 0 and 1 are used)? When written in the binary system, an odd number always ends with ___.

Answer: 1

Let us take a look at the first few binary numbers and their corresponding values in base 10.

0: 0
1: 1
10: 2
11: 3
100: 4
101: 5
110: 6
111: 7

Here, we notice that if a binary number ends with 1, then it is odd. If it ends with 0, then it is even.
4. Choose the WRONG statement.

Answer: All prime numbers are odd.

All prime numbers are odd, except 2. The number 2 is the only even prime number.

Yes, 0 is an even number, since it is divisible by 2 without any remainder.

We can prove that the sum of any 2 odd numbers is an even number. Let a and b be 2 odd numbers. Then we can write a = 2m + 1 and b = 2n + 1., where m and n are integers. So, a + b = (2m + 1) + (2n + 1) = 2(m+n) + 2 = 2(m+ n + 1). We now let m + n + 1 = h, and we see that the sum is in the form of 2h. So, the sum is an even number.
5. We define a factorial operation n! as n(n-1)(n-2)...(2)(1). All factorial operations will result in even numbers (for example, 4! = 4 x 3 x 2 x 1 = 24, where 24 is an even number) with 2 exceptions, namely ______.

Answer: 0! and 1!

Note that both 0! and 1! equal 1. 2! = 2 x 1 = 2. All the remaining factorial operations (2!, 3!, 4!...) will result in even numbers.
6. Which of the following arithmetic operations will result in an odd number?

Answer: 123456789 x 987654321

In order for us to find out the answer, we can just carry out the operations for the last digit.

The product of 2 odd numbers is also an odd number itself. But if one or both of the numbers is even, then the product will be an even number.

Meanwhile, the sum of 2 odd numbers or 2 even numbers is even. But the sum of an odd number and an even number is odd.
7. A function f is called an even function if f(x) = f(-x), that is, the function is symmetric with respect to the y-axis. Which of the following is an even function?

Answer: f(x) = cos x

Since f(x) = cos x is an even function, we can write cox x = cos (-x). The function f(x) = sin x is an odd function, where sin x = -sin (-x), or in general, f(x) = -f(-x).
8. An odd function is the function in the form of -f(x) = f(-x). This type of function is symmetric with respect to the origin. In other words, the graph will look exactly the same if it rotates ___ degrees about the origin.

Answer: 180

An example of an odd function is f(x) = sin x.
9. In Roman numerals, which of the following is an odd number?

Answer: V

In Roman numerals, I is 1, V is 5, X is 10, L is 50, C is 100, D is 500.
10. Let A be the sum of all the odd numbers from 1 to 100 and B be the sum of all the even numbers from 1 to 100. Choose the CORRECT statement.

Answer: A < B

The sum of all the numbers from 1 to 100 = 1 + 3 + 5 +...+ 97 + 99 = (99 + 1)(50)/2 = 2500. We evaluate this by multiplying the sum of the first term and the last term by the total number of terms, and then we divide it by 2 (since each number will be calculated twice, otherwise). While the sum of all the numbers from 1 to 100 = 2 + 4 + 6 +...+ 98 + 100 = 2550.

Another way to solve this problem is by noticing that 2 is greater than 1, 4 is greater than 3, and so on. So eventually we will get A less than B.

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Mr. Odd and Mr. Even would like to thank you for your help in solving these problems. They are now good friends again after finding out that there are equally many odd and even numbers for the set of positive integer.

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I hope you enjoy my quiz and learn something new as well. Thanks for playing and have a nice day!
Source: Author Matthew_07

This quiz was reviewed by FunTrivia editor crisw before going online.
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