Your browser does not support JavaScript!
AMA University Answers
Login Register

Number Theory

Showing 151-225 of 268 answers

The following numbers are all Fermat numbers, EXCEPT:
  • 2 Correct
  • 5
  • 3
  • None of the choices
The following numbers are coprime of 34, EXCEPT:
  • Non of the choices
  • 13
  • 2 Correct
  • 7
The following pairs below shows an example of fundamental theorem of arithmetic, EXCEPT:
  • 17 x 19
  • 7 x 41
  • 9 x 11 Correct
  • 11 x 3
The following pairs of numbers has a GCD of 31, EXCEPT:
  • 6750 & 1519 Correct
  • 2573 & 2759
  • None of the choices
  • 1519 & 2573
The GCD of 90 and 105 is ________.
  • 3
  • 5
  • 18
  • 15 Correct
The greatest common divisor of 19,342 and 2,766 is ______.
  • 3
  • 2 Correct
  • 6
  • 8
The Greek letter t is used in finding the divisor function.
  • True Correct
  • False
The largest factor of 279 is
  • 23
  • 31 Correct
  • 29
  • 19
The LCM of 2, 3, and 6 is _______.
  • 8
  • 12
  • 2
  • 6 Correct
The least common multiple of 9 and 12 is __________.
  • 12
  • 27
  • 36 Correct
  • 18
The missing value of the expression 39 = 19 683 = 6 (mod __).
  • 5
  • 9
  • 3
  • 7 Correct
The modulo of a certain number is obtained by
  • addition
  • division Correct
  • multiplication
  • subtraction
The number of divisor of a certain integer is being added.
  • True
  • False Correct
The number of multiples of 6 from 20 to 50 is ________.
  • 5 Correct
  • 7
  • 8
  • 4
The number with the most numbers of multiples between 5 and 35 below is _________.
  • 8
  • 6
  • 4 Correct
  • 7
The numbers 2, 2, 2, 3, 3, 5, 7, and 11 are the factors of what number?
  • 27,720 Correct
  • 20,720
  • 22,720
  • 21,720
The numbers below are coprime, EXCEPT:
  • 23 and 54
  • 3 and 42
  • 1 and 27 Correct
  • 100 and 99
The numbers below are the common factors of 30 and 45, EXCEPT:
  • 15
  • 5
  • 3
  • 10 Correct
The price of gasoline decline Php 140 over a one week period. If the rate decrease was spread equally over the week, how much did the price of gasoline decrease in one day?
  • Php 1600
  • Php 2000 Correct
  • pHP 2300
  • Php 2800
The prime factors of 420 are 2, 3, 5 and ____.
  • 13
  • 7 Correct
  • 19
  • 11
The primitive root of mod 60 using 11 as one of the primitive root is
  • 4 Correct
  • 7
  • 11
  • 2
The primitive root of mod 60 using 11 as one of the primitive roots is
  • 1 Correct
  • 11
  • 3
  • 2
The primitive roots of mod 55 using coprimes 5, 7, and 11 using base 3 are 23, 42, and ____.
  • 45
  • 49
  • 47 Correct
  • 51
The rules in obtaining the divisibility of 3 is
  • If a number starts 3, 6, or 9
  • If a number ends in 3, 6 or 9
  • If the last two digits of the given number is divisible by 3
  • Add all the digits of the given number Correct
The solution of the statement 231 - 1 = ____.
  • 2 147 483 646
  • 2 147 483 648
  • 2 147 483 647 Correct
  • 2 147 483 649
The solution to 96 modulo 32 is _________.
  • 7
  • 1
  • 3
  • 0 Correct
The symbol sigma is used to determine the sum of the given objects.
  • True Correct
  • False
The value of p in the expression 2p - 1 = 524 287 is ______.
  • 29
  • 21
  • 17
  • 19 Correct
Three of the numbers below are divisible by 13, 15 and 17. Which is NOT?
  • 29,835
  • 33,150
  • 48,645 Correct
  • 62, 985
Using Euclidean Algorithm, determine the remainder of  1 515 and 705
  • 37
  • 20
  • 15 Correct
  • 23
Using Euclidean Algorithm, determine the remainder of  1541 and 897
  • 23 Correct
  • 15
  • 37
  • 20
Using Euclidean Algorithm, determine the remainder of  18476 and 2636
  • 4 Correct
  • 10
  • 23
  • 15
Using Euclidean Algorithm, determine the remainder of  703 and 259
  • 20
  • 23
  • 37 Correct
  • 15
Using Euclidean Algorithm, determine the remainder of  8 420 and 3 020
  • 23
  • 20 Correct
  • 17
  • 7
Using Prime Factorization, what is the value of 23 x 32 x 5 x 11?
  • 2850
  • 3570
  • 3960 Correct
  • 4130
Using s = 2, in the Fermat formula 2s + 1, is the answer a Fermat number? 
  • Maybe 
  • No answer 
  • No 
  • Yes  Correct
Using the Fermat number 2s + 1, find the value using s = 2.
  • 3
  • 7
  • 9
  • 5 Correct
Using the formula of Mersenne prime 2d - 1, if d = 17, the value is
  • 131 075
  • 131 071 Correct
  • 131 072
  • 131 073
Using the formula of Mersenne prime 2k - 1, if k = 11, the value is
  • 2,048
  • 2,047 Correct
  • 2,046
  • 2,049
Using the function f(x) = -xk, if x = 0 and k is a negative integer then it is an example of singularity.
  • True Correct
  • False
Using the Mersenne Primes, if you apply 23, the value is ______.
  • 8,388,607 Correct
  • 16,777,215
  • 7, 787, 300
  • 4,194,303
What are the primitive roots of mod 209 using coprimes 7, 11, and 13 and base 2?
  • 41, 82 and 167
  • 41, 81 and 167 Correct
  • 67, 113 and 205
  • 82, 178 and 327
What are the unknown numbers in the factor tree?
  • 2 and 18
  • 3 and 12 Correct
  • 1 and 36
  • 4 and 9 
What is the GCD of 108 and 81?
  • 27 Correct
  • 12
  • 29
  • 9
What is the greatest common factor of 36 848 and 77 080?
  • 94
  • 188
  • 376 Correct
  • 88
What is the primitive root of mod 75 using 7 as one of its coprime?
  • 43 Correct
  • 16
  • 37
  • 25
What is the primitive root of mod 75 using 7 as one of its coprimes?
  • 25
  • 43 Correct
  • 33
  • 37
What is the product of the prime factors 2,2 and 53?
  • 106
  • 49
  • 57
  • 212 Correct
What is the remainder if we use Euclidean Algorithm between 55, 230 and  3, 985?
  • 1
  • 3
  • 0 Correct
  • 2
What is the remainder if you apply the Euclidean Algorithm to 10 465 and 3 553?
  • 3
  • 2
  • 0
  • 1 Correct
What is the remainder of 23 069 and 20 069 when you use the Euclidean Algorithm?
  • 3
  • 1 Correct
  • 0
  • 2
What is the value of 216 + 1? Is it a Fermat Number?
  • 65, 537 No, it is not a Fermat Number
  • 65, 536 No, it is not a Fermat Number
  • 65, 536 Yes, it is a Fermat Number
  • 65, 537 Yes, it is a Fermat Number Correct
What is the value of f(x) = 2xk, if k = 2.
  • 2x2 Correct
  • 2xk
  • 2(2)k
  • 2x(k)(2)
What is the value of the expression -5 + 5 + (-12)?
  • -22
  • 22
  • -2
  • -12 Correct
What must be the last digit of a number to make it divisible by 10?
  • 2
  • 5
  • 0 Correct
  • 1
What must be the missing value of the expression to make it ? 76 = 117 649 = ___ (mod 3)
  • 1 Correct
What must be the missing value of the expression to make it correct? 76 = 117 649 = ___ (mod 3)
  • 3
  • 1 Correct
  • 0
  • 2
What must be the value k to make the function f(x) = -3xk equal to -3?
  • -1
  • 1
  • 0 Correct
What must be the value of g, in the formula 2g - 1 = 8 191, to make it correct?
  • 11
  • 17
  • 13 Correct
  • 7
What must be the value of the last digit of 23, 31__ to make it divisible by 5?
  • 0 Correct
  • 8
  • 4
  • 7
What must be the value of the last digit of 3, 45__ to make it divisible by 8?
  • 0
  • 6 Correct
  • 16
  • 8
What must be the value of the missing value of the expression 213 = 8 192 = 2 (mod __ ) to make it correct?
  • 11
  • 7 Correct
  • 5
  • 9
What must be the value of the unknown if, ___ = 36 = 8 (mod 28)?
  • 361
  • 62 Correct
  • 9 x 4
  • 3 x 12
What must be the value of the unknown if, ___ = 64 = 10 (mod 27)?
  • 83
  • 43
  • 26
  • 82 Correct
What must be the value of the unknown if, 112 = 121 = ___ (mod 28)?
  • 10
  • 12
  • 9 Correct
  • 11
What must be the value of the unknown if, 182 = 324 = ___ (mod 27)?
  • 3
  • 2
  • 1
  • 0 Correct
Which among the numbers below is equal to 38 mod 9?
  • 4
  • 2 Correct
  • 3
  • 7
Which expression has a value different from the others?
  • -3 + 2 + (-4) Correct
  • (4 - 3) - 4
  • -11 - 4 + 12
  • 3- 2 - 4
Which expression has the greatest value?
  • 3 + (-2) Correct
  • (-3+4) (-1)
  • -3 + 3
  • 3 + (-4)
Which list below are the numbers arranged in order from greatest to smallest?
  • 5, 4, 0, -3 Correct
  • -5, -4, -3, -2, -1,
  • 1, 3, 5, 7, 10,
  • 2, 4, 6, 8, 10,
Which of the following are the prime factors of 234?
  • 2 x 3 x 132
  • 2 x 3 x 13
  • 22 x 3 x 13
  • 2 x 32 x 13 Correct
Which of the following are the prime factors of 3024?
  • 24 x 32
  • 7 x 8 x 9 x 12
  •  7 x 24 x 33  Correct
  • 6 x 7 x 8 x 9   
Which of the following are the prime factors of 360?
  • 23 x 33 x 5
  • 23 x 32 x 5       Correct
  • 22 x 32 x 5
  • 23 x 34 x 5
Which of the following expressions below is INCORRECT?
  • 21 mod 6 = 3
  • 82 mod 7 = 5
  • 42 mod 2 = 2 Correct
  • 100 mod 8 = 4
Which of the following expressions is below is correct?
  • 25 mod 4 = 2
  • 22 mod 6 = 2
  • 24 mod 7 = 4
  • 23 mod 5 = 3 Correct
All courses