Ll CSET 110 - Number Theory Mc
15 Questions
| Total Attempts: 61
Questions and Answers
- 1.5,078 = 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?
- A.
150=33(4)+18
- B.
128=33(3)+29
- C.
150=128(1)+22
- D.
5,078=128(39)+86
- 2.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?
- A.
136 = 11(12)+4
- B.
126=15(8)+6
- C.
126=12(10)+6
- D.
64=8(8)+0
- 3.
![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?")
If can be simplified to a fraction form , where a and b are mutually prime integers, what is a+b?- A.
76
- B.
81
- C.
100
- D.
300
- 4.If a and b share a greatest common divisor of c, what is the least common multiple of a and b?
- A.
Abc
- B.
Ab
- C.
![]()
- D.
![]()
- 5.
![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?")
If can be simplified to a fraction form , where a and b are mutually prime integers, what is a+b?- A.
98
- B.
109
- C.
126
- D.
327
- 6.
![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 ? - ProProfs]( "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 ?")
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 ?- A.
56
- B.
512
- C.
729
- D.
6561
- 7.
![How many factors does have if x, y, and z are integers? - ProProfs]( "How many factors does have if x, y, and z are integers?")
How many factors does have if x, y, and z are integers?- A.
Xyz
- B.
X+y+z
- C.
(x+1)(y+1)(z+1)
- D.
105
- 8.
![The greatest common divisor of . How many factors of X are there? - ProProfs]( "The greatest common divisor of . How many factors of X are there?")
The greatest common divisor of . How many factors of X are there?- A.
12
- B.
16
- C.
24
- D.
36
- 9.What is the greatest common divisor of 4986, 5022, 5058, and 5490?
- A.
6
- B.
9
- C.
12
- D.
18
- 10.Find the least common multiple of 12, 18, 24, and 30.
- A.
240
- B.
360
- C.
720
- D.
2160
- 11.Find the least common multiple of 18, 27, 36, 48, 81.
- A.
1260
- B.
1440
- C.
1620
- D.
4860
- 12.How many integers between 1 and 1000, inclusive, are a multiple of either 3 or 7?
- A.
381
- B.
428
- C.
430
- D.
475
- 13.How many integers between 1 and 1000, inclusive, are a multiple of either 5 or 9?
- A.
288
- B.
289
- C.
311
- D.
312
- 14.
![To prove that , the first step in a proof by mathematical induction is which of the following? - ProProfs]( "To prove that , the first step in a proof by mathematical induction is which of the following?")
To prove that , the first step in a proof by mathematical induction is which of the following?- A.
is also true.
![]()
- B.
![]()
- C.
![]()
- D.
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- 15.
![has a positive integer exponents and is between 4000 and 5000, which of the following could be x+y+z? - ProProfs]( "has a positive integer exponents and is between 4000 and 5000, which of the following could be x+y+z?")
has a positive integer exponents and is between 4000 and 5000, which of the following could be x+y+z?- A.
6
- B.
9
- C.
11
- D.
15
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