# Do You Know Polite Number?

10 Questions | Total Attempts: 112  Settings  Whenever you're talking about number theory, a polite number and what it entails will touched. For the latter, a polite number can be defined as a positive integer that you can write as a sum of two or more consecutive integers. With this definition, you should be able to solve some of the problems we've included as questions.

• 1.
Which of these is not a positive number?
• A.

12

• B.

9

• C.

-9

• D.

8

• 2.
Who out of the following didn't study the problems of polite numbers?
• A.

Euler

• B.

Enrique

• C.

Mason

• D.

Sylvester

• 3.
Which of these isn't a polite number?
• A.

12

• B.

13

• C.

11

• D.

8

• 4.
Which power, more often than not, are related to polite numbers?
• A.

Four

• B.

Two

• C.

Ten

• D.

Three

• 5.
How many polite numbers are between 0 and 51?
• A.

38 polite numbers

• B.

28 polite numbers

• C.

49 polite numbers

• D.

44 polite numbers

• 6.
What theorem explain impolite numbers?
• A.

Lambek-Moser theorem

• B.

Thomas-Henry theorem

• C.

Pythagoras theorem

• D.

David Euler Theorem

• 7.
What is the politeness of 9?
• A.

4

• B.

1

• C.

3

• D.

2

• 8.
What is the politeness of 15?
• A.

3

• B.

4

• C.

2

• D.

5

• 9.
How many steps are involved in determining the politeness of a number?
• A.

Three steps

• B.

Four steps

• C.

Five steps

• D.

Six steps

• 10.
Which of these is insignificant in the determining polite numbers?
• A.

Staircase numbers

• B.

Trapezoidal numbers

• C.

Even numbers

• D.

Young diagrams

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