LL CSET 110 - Number Theory MC - Quiz, Trivia & Questions

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| By Justin Gillette

Justin Gillette

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Quizzes Created: 2 | Total Attempts: 333

| Attempts: 146

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1/15 Questions

How many factors does have if x, y, and z are integers?
- Xyz
- X+y+z
- (x+1)(y+1)(z+1)
- 105

About This Quiz

This quiz titled 'LL CSET 110 - Number Theory MC' tests knowledge on the Euclidean Algorithm, number simplification, and properties of numbers formed from primes.

2.

What is the greatest common divisor of 4986, 5022, 5058, and 5490?
- 6
- 9
- 12
- 18
Correct Answer

A. 18
3.

5,078 = 150(33)+128 is the first step in finding the greatest common divisor of two numbers. Which of the following is the next step in the Euclidian Algorithm?
- 150=33(4)+18
- 128=33(3)+29
- 150=128(1)+22
- 5,078=128(39)+86
Correct Answer

A. 150=128(1)+22
4.

The Euclidian Algorithm is performed to find the greatest common divisor of 1,622 and 136. Which of the following is a step in this Euclidian Algorithm?
- 136 = 11(12)+4
- 126=15(8)+6
- 126=12(10)+6
- 64=8(8)+0
Correct Answer

A. 126=12(10)+6
5.

If a and b share a greatest common divisor of c, what is the least common multiple of a and b?
- Abc
- Ab
Correct Answer

A.
6.

$If can be simplified to a fraction form , where a and b are mutually prime integers, what is a+b? - ProProfs$

If can be simplified to a fraction form , where a and b are mutually prime integers, what is a+b?
- 98
- 109
- 126
- 327
Correct Answer

A. 109
7.

$If can be simplified to a fraction form , where a and b are mutually prime integers, what is a+b? - ProProfs$

If can be simplified to a fraction form , where a and b are mutually prime integers, what is a+b?
- 76
- 81
- 100
- 300
Correct Answer

A. 100
8.

Find the least common multiple of 12, 18, 24, and 30.
- 240
- 360
- 720
- 2160
Correct Answer

A. 360
9.

The greatest common divisor of . How many factors of X are there?
- 12
- 16
- 24
- 36
Correct Answer

A. 12
10.

How many integers between 1 and 1000, inclusive, are a multiple of either 5 or 9?
- 288
- 289
- 311
- 312
Correct Answer

A. 289
11.

Let P represent the set of all numbers of the form where x, y, and z are prime numbers less than 20. How many elements are contained in set P ?
- 56
- 512
- 729
- 6561
Correct Answer

A. 512
12.

How many integers between 1 and 1000, inclusive, are a multiple of either 3 or 7?
- 381
- 428
- 430
- 475
Correct Answer

A. 428

Explanation

Err...Answer really IS 428. 333+142-47=428. Yay, mental arithmetic!

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13.

To prove that , the first step in a proof by mathematical induction is which of the following?
- is also true.
Correct Answer

A.
14.

has a positive integer exponents and is between 4000 and 5000, which of the following could be x+y+z?
- 6
- 9
- 11
- 15
Correct Answer

A. 9
15.

Find the least common multiple of 18, 27, 36, 48, 81.
- 1260
- 1440
- 1620
- 4860
Correct Answer

A. 1620

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Current Version
Dec 23, 2024

Quiz Edited by
ProProfs Editorial Team
Apr 08, 2014

Quiz Created by
Justin Gillette

Ll CSET 110 - Number Theory Mc

How many factors does have if x, y, and z are integers?

Quiz Preview

What is the greatest common divisor of 4986, 5022, 5058, and 5490?

5,078 = 150(33)+128 is the first step in finding the greatest common divisor of two numbers. Which of the following is the next step in the Euclidian Algorithm?

The Euclidian Algorithm is performed to find the greatest common divisor of 1,622 and 136. Which of the following is a step in this Euclidian Algorithm?

If a and b share a greatest common divisor of c, what is the least common multiple of a and b?

If can be simplified to a fraction form , where a and b are mutually prime integers, what is a+b?

If can be simplified to a fraction form , where a and b are mutually prime integers, what is a+b?

Find the least common multiple of 12, 18, 24, and 30.

The greatest common divisor of . How many factors of X are there?

How many integers between 1 and 1000, inclusive, are a multiple of either 5 or 9?

Let P represent the set of all numbers of the form where x, y, and z are prime numbers less than 20. How many elements are contained in set P ?

How many integers between 1 and 1000, inclusive, are a multiple of either 3 or 7?

To prove that , the first step in a proof by mathematical induction is which of the following?

has a positive integer exponents and is between 4000 and 5000, which of the following could be x+y+z?

Find the least common multiple of 18, 27, 36, 48, 81.