Number Theory - I
Authored by Mustafa Kamal
Mathematics
9th - 12th Grade
Used 2+ times
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18 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 3 pts
What does Euler’s Totient Function, ϕ(n), calculate?
The number of prime factors of n
The number of positive integers less than n that are relatively prime to n
The sum of all prime numbers less than n
The number of ways to factor n
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If p is a prime number, what is ϕ(p)?
p - 1
p + 1
p/2
p^2 - 1
3.
MULTIPLE CHOICE QUESTION
30 sec • 2 pts
What is ϕ(10)?
2
3
4
5
4.
MULTIPLE CHOICE QUESTION
30 sec • 2 pts
What is ϕ(15)?
6
8
10
12
5.
MULTIPLE CHOICE QUESTION
30 sec • 2 pts
What is ϕ(8)?
3
4
6
7
6.
MULTIPLE CHOICE QUESTION
30 sec • 2 pts
Phi(41) =
5
7
40
42
7.
MULTIPLE CHOICE QUESTION
30 sec • 3 pts
Phi(440) =
160
170
180
190
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