Comprehensive Multiple Choice Question Set on Properties and
Relationships of Integers for Liberty University
1. What is the result of (-5) + 8?
a) -13
b) 13
c) 3
d) -3
Answer: c) 3
2. Which of the following is an example of the commutative property of addition?
a) (2 + 3) + 4 = 2 + (3 + 4)
b) 2 + 3 = 3 + 2
c) 2 × (3 + 4) = (2 × 3) + (2 × 4)
d) 2 + 0 = 2
Answer: b) 2 + 3 = 3 + 2
3. What is the absolute value of -7?
a) -7
b) 0
c) 7
d) 14
Answer: c) 7
4. Which property is demonstrated by the equation 3 × (4 + 5) = (3 × 4) + (3 × 5)?
a) Commutative property
b) Associative property
c) Distributive property
d) Identity property
Answer: c) Distributive property
5. What is the greatest common divisor (GCD) of 18 and 24?
a) 2
b) 3
c) 6
d) 12
Answer: c) 6
6. Which of the following is true for all integers n?
a) n + 1 > n
b) n × 2 > n
c) n - 1 < n
d) All of the above
Answer: d) All of the above
7. What is the least common multiple (LCM) of 12 and 18?
a) 2
b) 6
c) 36
d) 72
Answer: c) 36
8. If a and b are integers and a × b = 0, then:
a) a = 0 or b = 0
b) a = b
c) a > b
d) a < b
Answer: a) a = 0 or b = 0
9. What is the result of (-3)^4?
a) -81
b) 81
c) -27
d) 27
Answer: b) 81
10. Which of the following is an example of the associative property of multiplication?
a) 2 × 3 = 3 × 2
b) (2 × 3) × 4 = 2 × (3 × 4)
c) 2 × 1 = 2
d) 2 × (3 + 4) = (2 × 3) + (2 × 4)
Answer: b) (2 × 3) × 4 = 2 × (3 × 4)
11. What is the result of 15 ÷ (-3)?
a) -5
b) 5
c) -15
d) 15
Answer: a) -5
12. Which of the following is always true for any integer n?
a) n² ≥ 0
b) n³ ≥ 0
c) n⁴ ≥ 0
d) All of the above
Answer: d) All of the above
13. What is the multiplicative inverse of -2?
a) 2
b) -1/2
c) 1/2
d) -2
Answer: b) -1/2
14. If a and b are consecutive integers, which of the following is always true?
a) a + b is odd
b) a - b = 1
c) a × b is even
d) a² - b² = 1
Answer: a) a + b is odd
15. What is the result of (-7) × (-6)?
a) -42
b) 42
c) -13
d) 13
Answer: b) 42
16. Which property is demonstrated by the equation 5 + 0 = 5?
a) Commutative property
b) Associative property
c) Distributive property
d) Identity property
Answer: d) Identity property
17. What is the remainder when 17 is divided by 5?
a) 0
b) 1
c) 2
d) 3
Answer: c) 2
18. Which of the following is true for all integers a, b, and c?
a) (a + b) + c = a + (b + c)
b) a + b = b + a
c) a × (b + c) = (a × b) + (a × c)
d) All of the above
Answer: d) All of the above
19. What is the result of |-8| - |8|?
a) -16
b) 0
c) 8
d) 16
Answer: b) 0
20. If a is an even integer and b is an odd integer, which of the following is always odd?
a) a + b
b) a - b
c) a × b
d) a ÷ b
Answer: a) a + b
21. What is the greatest common divisor (GCD) of 0 and 5?
a) 0
b) 1
c) 5
d) Undefined
Answer: c) 5
22. Which of the following is always true for any non-zero integer n?
a) n + (1/n) = 1
b) n × (1/n) = 1
c) n - (1/n) = 0
d) n ÷ (1/n) = 1
Answer: b) n × (1/n) = 1
23. What is the result of (-4)³?
a) -64
b) 64
c) -32
d) 32
Answer: a) -64
24. If a and b are integers and a is divisible by b, which of the following is always true?
a) a > b
b) a = b × n, where n is an integer
c) a < b
d) a and b are both even
Answer: b) a = b × n, where n is an integer
25. What is the least common multiple (LCM) of 0 and 7?
a) 0
b) 1
c) 7
d) Undefined
Answer: a) 0
26. Which of the following is an example of the multiplicative identity property?
a) 5 + 0 = 5
b) 5 × 1 = 5
c) 5 - 0 = 5
d) 5 ÷ 1 = 5
Answer: b) 5 × 1 = 5
27. What is the result of 12 ÷ (-3) + 5?
a) -9
b) -1
c) 1
d) 9
Answer: c) 1
28. If a and b are integers and a² = b², which of the following is always true?
a) a = b
b) a = -b
c) a = |b|
d) a = b or a = -b
Answer: d) a = b or a = -b
29. What is the absolute value of the difference between 7 and -3?
a) 4
b) 10
c) -4
d) -10
Answer: b) 10
30. Which property is demonstrated by the equation (2 + 3) + 4 = 2 + (3 + 4)?
a) Commutative property
b) Associative property
c) Distributive property
d) Identity property
Answer: b) Associative property
31. What is the result of (-2)⁵ + 2⁵?
a) 0
b) -64
c) 64
d) 32
Answer: a) 0
32. If a is divisible by 2 and 3, which of the following must be true?
a) a is divisible by 5
b) a is divisible by 6
c) a is divisible by 8
d) a is divisible by 9
Answer: b) a is divisible by 6
33. What is the sum of the first 10 positive integers?
a) 45
b) 50
c) 55
d) 60
Answer: c) 55
34. Which of the following is always true for any integer n?
a) n² is even
b) n³ is odd
c) n⁴ is even
d) n⁵ has the same parity as n
Answer: d) n⁵ has the same parity as n
35. What is the result of 15 mod 4?
a) 0
b) 1
c) 2
d) 3
Answer: d) 3
36. If a and b are integers and ab is odd, which of the following must be true?
a) a and b are both odd
b) a is odd and b is even
c) a is even and b is odd
d) a and b are both even
Answer: a) a and b are both odd
37. What is the value of 5C2 (5 choose 2)?
a) 5
b) 10
c) 15
d) 20
Answer: b) 10
38. Which of the following is true for all integers a, b, and c?
a) (a - b) - c = a - (b - c)
b) a - (b + c) = (a - b) - c
c) (a × b) × c = a × (b × c)
d) a × (b - c) = (a × b) - (a × c)
Answer: c) (a × b) × c = a × (b × c)
39. What is the result of |-7| + |7|?
a) 0
b) 7
c) 14
d) -14
Answer: c) 14
40. If a is a multiple of 3 and b is a multiple of 4, which of the following is always true?
a) a + b is a multiple of 7
b) a - b is a multiple of 1
c) a × b is a multiple of 12
d) a ÷ b is a whole number
Answer: c) a × b is a multiple of 12
41. What is the greatest common divisor (GCD) of 18, 24, and 30?
a) 2
b) 3
c) 6
d) 12
Answer: c) 6
42. Which of the following is always true for any non-zero integers a and b?
a) |ab| = |a| × |b|
b) |a + b| = |a| + |b|
c) |a - b| = |a| - |b|
d) |a ÷ b| = |a| ÷ |b|
Answer: a) |ab| = |a| × |b|
43. What is the result of (-3)² × (-2)³?
a) -72
b) 72
c) -36
d) 36
Answer: b) 72
44. If a and b are consecutive odd integers, which of the following is always true?
a) a + b is odd
b) a - b = 1
c) a × b is odd
d) (a + b) ÷ 2 is an integer
Answer: d) (a + b) ÷ 2 is an integer
45. What is the least common multiple (LCM) of 12, 18, and 24?
a) 36
b) 72
c) 144
d) 288
Answer: b) 72
46. Which property is demonstrated by the equation 3 × (1/3) = 1?
a) Commutative property
b) Associative property
c) Distributive property
d) Multiplicative inverse property
Answer: d) Multiplicative inverse property
47. What is the result of 7 × (-2) - 3 × (-4)?
a) -2
b) 2
c) -26
d) 26
Answer: b) 2
48. If a is divisible by 4 and b is divisible by 6, which of the following is always true?
a) a + b is divisible by 10
b) a - b is divisible by 2
c) a × b is divisible by 24
d) a ÷ b is a whole number
Answer: c) a × b is divisible by 24
49. What is the value of 6P3 (6 permute 3)?
a) 20
b) 120
c) 216
d) 720
Answer: b) 120
50. Which of the following is always true for any integer n?
a) n² + n is even
b) n² - n is odd
c) n³ + n² is even
d) n³ - n is divisible by 3
Answer: d) n³ - n is divisible by 3
51. What is the result of (-8) ÷ 2 + 6?
a) -10
b) -2
c) 2
d) 10
Answer: c) 2
52. If a and b are integers and a > b, which of the following is always true?
a) a² > b²
b) a³ > b³
c) |a| > |b|
d) a - b > 0
Answer: d) a - b > 0
53. What is the sum of the interior angles of a pentagon?
a) 360°
b) 450°
c) 540°
d) 720°
Answer: c) 540°
54. Which of the following is an example of the zero product property?
a) 0 × a = 0
b) a + 0 = a
c) a - a = 0
d) a ÷ 0 is undefined
Answer: a) 0 × a = 0
55. What is the result of 5² - 3²?
a) 4
b) 8
c) 16
d) 32
Answer: c) 16
56. If a is odd and b is even, which of the following is always odd?
a) a + b
b) a - b
c) a × b
d) a² + b²
Answer: d) a² + b²
57. What is the greatest common divisor (GCD) of 45 and 60?
a) 5
b) 15
c) 30
d) 45
Answer: b) 15
58. Which of the following is always true for any non-zero integer n?
a) n + (1/n) is an integer
b) n - (1/n) is an integer
c) n² + 1 is even
d) n² - 1 is divisible by n + 1
Answer: d) n² - 1 is divisible by n + 1
59. What is the result of (-6)⁴ ÷ (-2)³?
a) -54
b) 54
c) -108
d) 108
Answer: b) 54
60. If a and b are integers and a is divisible by b, which of the following is always true?
a) a mod b = 0
b) b mod a = 0
c) a ÷ b is an integer
d) Both a and c
Answer: d) Both a and c
If a and b are integers and ab is odd, which of the following must be true?
a) a and b are both odd
b) a is odd and b is even
c) a is even and b is odd
d) a and b are both even
Answer: a) a and b are both odd
37. What is the value of 5C2 (5 choose 2)?
a) 5
b) 10
c) 15
d) 20
Answer: b) 10
38. Which of the following is true for all integers a, b, and c?
a) (a - b) - c = a - (b - c)
b) a - (b + c) = (a - b) - c
c) (a × b) × c = a × (b × c)
d) a × (b - c) = (a × b) - (a × c)
Answer: c) (a × b) × c = a × (b × c)
39. What is the result of |-7| + |7|?
a) 0
b) 7
c) 14
d) -14
Answer: c) 14
40. If a is a multiple of 3 and b is a multiple of 4, which of the following is always true?
a) a + b is a multiple of 7
b) a - b is a multiple of 1
c) a × b is a multiple of 12
d) a ÷ b is a whole number
Answer: c) a × b is a multiple of 12
41. What is the greatest common divisor (GCD) of 18, 24, and 30?
a) 2
b) 3
c) 6
d) 12
Answer: c) 6
42. Which of the following is always true for any non-zero integers a and b?
a) |ab| = |a| × |b|
b) |a + b| = |a| + |b|
c) |a - b| = |a| - |b|
d) |a ÷ b| = |a| ÷ |b|
Answer: a) |ab| = |a| × |b|
43. What is the result of (-3)² × (-2)³?
a) -72
b) 72
c) -36
d) 36
Answer: b) 72
44. If a and b are consecutive odd integers, which of the following is always true?
a) a + b is odd
b) a - b = 1
c) a × b is odd
d) (a + b) ÷ 2 is an integer
Answer: d) (a + b) ÷ 2 is an integer
45. What is the least common multiple (LCM) of 12, 18, and 24?
a) 36
b) 72
c) 144
d) 288
Answer: b) 72
46. Which property is demonstrated by the equation 3 × (1/3) = 1?
a) Commutative property
b) Associative property
c) Distributive property
d) Multiplicative inverse property
Answer: d) Multiplicative inverse property
47. What is the result of 7 × (-2) - 3 × (-4)?
a) -2
b) 2
c) -26
d) 26
Answer: b) 2
48. If a is divisible by 4 and b is divisible by 6, which of the following is always true?
a) a + b is divisible by 10
b) a - b is divisible by 2
c) a × b is divisible by 24
d) a ÷ b is a whole number
Answer: c) a × b is divisible by 24
49. What is the value of 6P3 (6 permute 3)?
a) 20
b) 120
c) 216
d) 720
Answer: b) 120
50. Which of the following is always true for any integer n?
a) n² + n is even
b) n² - n is odd
c) n³ + n² is even
d) n³ - n is divisible by 3
Answer: d) n³ - n is divisible by 3
51. What is the result of (-8) ÷ 2 + 6?
a) -10
b) -2
c) 2
d) 10
Answer: c) 2
52. If a and b are integers and a > b, which of the following is always true?
a) a² > b²
b) a³ > b³
c) |a| > |b|
d) a - b > 0
Answer: d) a - b > 0
53. What is the sum of the interior angles of a pentagon?
a) 360°
b) 450°
c) 540°
d) 720°
Answer: c) 540°
54. Which of the following is an example of the zero product property?
a) 0 × a = 0
b) a + 0 = a
c) a - a = 0
d) a ÷ 0 is undefined
Answer: a) 0 × a = 0
55. What is the result of 5² - 3²?
a) 4
b) 8
c) 16
d) 32
Answer: c) 16
56. If a is odd and b is even, which of the following is always odd?
a) a + b
b) a - b
c) a × b
d) a² + b²
Answer: d) a² + b²
57. What is the greatest common divisor (GCD) of 45 and 60?
a) 5
b) 15
c) 30
d) 45
Answer: b) 15
58. Which of the following is always true for any non-zero integer n?
a) n + (1/n) is an integer
b) n - (1/n) is an integer
c) n² + 1 is even
d) n² - 1 is divisible by n + 1
Answer: d) n² - 1 is divisible by n + 1
59. What is the result of (-6)⁴ ÷ (-2)³?
a) -54
b) 54
c) -108
d) 108
Answer: b) 54
60. If a and b are integers and a is divisible by b, which of the following is always true?
a) a mod b = 0
b) b mod a = 0
c) a ÷ b is an integer
d) Both a and c
Answer: d) Both a and c
If a and b are integers and ab is odd, which of the following must be true?
a) a and b are both odd
b) a is odd and b is even
c) a is even and b is odd
d) a and b are both even
Answer: a) a and b are both odd
37. What is the value of 5C2 (5 choose 2)?
a) 5
b) 10
c) 15
d) 20
Answer: b) 10
38. Which of the following is true for all integers a, b, and c?
a) (a - b) - c = a - (b - c)
b) a - (b + c) = (a - b) - c
c) (a × b) × c = a × (b × c)
d) a × (b - c) = (a × b) - (a × c)
Answer: c) (a × b) × c = a × (b × c)
39. What is the result of |-7| + |7|?
a) 0
b) 7
c) 14
d) -14
Answer: c) 14
40. If a is a multiple of 3 and b is a multiple of 4, which of the following is always true?
a) a + b is a multiple of 7
b) a - b is a multiple of 1
c) a × b is a multiple of 12
d) a ÷ b is a whole number
Answer: c) a × b is a multiple of 12
41. What is the greatest common divisor (GCD) of 18, 24, and 30?
a) 2
b) 3
c) 6
d) 12
Answer: c) 6
42. Which of the following is always true for any non-zero integers a and b?
a) |ab| = |a| × |b|
b) |a + b| = |a| + |b|
c) |a - b| = |a| - |b|
d) |a ÷ b| = |a| ÷ |b|
Answer: a) |ab| = |a| × |b|
43. What is the result of (-3)² × (-2)³?
a) -72
b) 72
c) -36
d) 36
Answer: b) 72
44. If a and b are consecutive odd integers, which of the following is always true?
a) a + b is odd
b) a - b = 1
c) a × b is odd
d) (a + b) ÷ 2 is an integer
Answer: d) (a + b) ÷ 2 is an integer
45. What is the least common multiple (LCM) of 12, 18, and 24?
a) 36
b) 72
c) 144
d) 288
Answer: b) 72
46. Which property is demonstrated by the equation 3 × (1/3) = 1?
a) Commutative property
b) Associative property
c) Distributive property
d) Multiplicative inverse property
Answer: d) Multiplicative inverse property
47. What is the result of 7 × (-2) - 3 × (-4)?
a) -2
b) 2
c) -26
d) 26
Answer: b) 2
48. If a is divisible by 4 and b is divisible by 6, which of the following is always true?
a) a + b is divisible by 10
b) a - b is divisible by 2
c) a × b is divisible by 24
d) a ÷ b is a whole number
Answer: c) a × b is divisible by 24
49. What is the value of 6P3 (6 permute 3)?
a) 20
b) 120
c) 216
d) 720
Answer: b) 120
50. Which of the following is always true for any integer n?
a) n² + n is even
b) n² - n is odd
c) n³ + n² is even
d) n³ - n is divisible by 3
Answer: d) n³ - n is divisible by 3
51. What is the result of (-8) ÷ 2 + 6?
a) -10
b) -2
c) 2
d) 10
Answer: c) 2
52. If a and b are integers and a > b, which of the following is always true?
a) a² > b²
b) a³ > b³
c) |a| > |b|
d) a - b > 0
Answer: d) a - b > 0
53. What is the sum of the interior angles of a pentagon?
a) 360°
b) 450°
c) 540°
d) 720°
Answer: c) 540°
54. Which of the following is an example of the zero product property?
a) 0 × a = 0
b) a + 0 = a
c) a - a = 0
d) a ÷ 0 is undefined
Answer: a) 0 × a = 0
55. What is the result of 5² - 3²?
a) 4
b) 8
c) 16
d) 32
Answer: c) 16
56. If a is odd and b is even, which of the following is always odd?
a) a + b
b) a - b
c) a × b
d) a² + b²
Answer: d) a² + b²
57. What is the greatest common divisor (GCD) of 45 and 60?
a) 5
b) 15
c) 30
d) 45
Answer: b) 15
58. Which of the following is always true for any non-zero integer n?
a) n + (1/n) is an integer
b) n - (1/n) is an integer
c) n² + 1 is even
d) n² - 1 is divisible by n + 1
Answer: d) n² - 1 is divisible by n + 1
59. What is the result of (-6)⁴ ÷ (-2)³?
a) -54
b) 54
c) -108
d) 108
Answer: b) 54
60. If a and b are integers and a is divisible by b, which of the following is always true?
a) a mod b = 0
b) b mod a = 0
c) a ÷ b is an integer
d) Both a and c
Answer: d) Both a and c
If a and b are integers and ab is odd, which of the following must be true?
a) a and b are both odd
b) a is odd and b is even
c) a is even and b is odd
d) a and b are both even
Answer: a) a and b are both odd
37. What is the value of 5C2 (5 choose 2)?
a) 5
b) 10
c) 15
d) 20
Answer: b) 10
38. Which of the following is true for all integers a, b, and c?
a) (a - b) - c = a - (b - c)
b) a - (b + c) = (a - b) - c
c) (a × b) × c = a × (b × c)
d) a × (b - c) = (a × b) - (a × c)
Answer: c) (a × b) × c = a × (b × c)
39. What is the result of |-7| + |7|?
a) 0
b) 7
c) 14
d) -14
Answer: c) 14
40. If a is a multiple of 3 and b is a multiple of 4, which of the following is always true?
a) a + b is a multiple of 7
b) a - b is a multiple of 1
c) a × b is a multiple of 12
d) a ÷ b is a whole number
Answer: c) a × b is a multiple of 12
41. What is the greatest common divisor (GCD) of 18, 24, and 30?
a) 2
b) 3
c) 6
d) 12
Answer: c) 6
42. Which of the following is always true for any non-zero integers a and b?
a) |ab| = |a| × |b|
b) |a + b| = |a| + |b|
c) |a - b| = |a| - |b|
d) |a ÷ b| = |a| ÷ |b|
Answer: a) |ab| = |a| × |b|
43. What is the result of (-3)² × (-2)³?
a) -72
b) 72
c) -36
d) 36
Answer: b) 72
44. If a and b are consecutive odd integers, which of the following is always true?
a) a + b is odd
b) a - b = 1
c) a × b is odd
d) (a + b) ÷ 2 is an integer
Answer: d) (a + b) ÷ 2 is an integer
45. What is the least common multiple (LCM) of 12, 18, and 24?
a) 36
b) 72
c) 144
d) 288
Answer: b) 72
46. Which property is demonstrated by the equation 3 × (1/3) = 1?
a) Commutative property
b) Associative property
c) Distributive property
d) Multiplicative inverse property
Answer: d) Multiplicative inverse property
47. What is the result of 7 × (-2) - 3 × (-4)?
a) -2
b) 2
c) -26
d) 26
Answer: b) 2
48. If a is divisible by 4 and b is divisible by 6, which of the following is always true?
a) a + b is divisible by 10
b) a - b is divisible by 2
c) a × b is divisible by 24
d) a ÷ b is a whole number
Answer: c) a × b is divisible by 24
49. What is the value of 6P3 (6 permute 3)?
a) 20
b) 120
c) 216
d) 720
Answer: b) 120
50. Which of the following is always true for any integer n?
a) n² + n is even
b) n² - n is odd
c) n³ + n² is even
d) n³ - n is divisible by 3
Answer: d) n³ - n is divisible by 3
51. What is the result of (-8) ÷ 2 + 6?
a) -10
b) -2
c) 2
d) 10
Answer: c) 2
52. If a and b are integers and a > b, which of the following is always true?
a) a² > b²
b) a³ > b³
c) |a| > |b|
d) a - b > 0
Answer: d) a - b > 0
53. What is the sum of the interior angles of a pentagon?
a) 360°
b) 450°
c) 540°
d) 720°
Answer: c) 540°
54. Which of the following is an example of the zero product property?
a) 0 × a = 0
b) a + 0 = a
c) a - a = 0
d) a ÷ 0 is undefined
Answer: a) 0 × a = 0
55. What is the result of 5² - 3²?
a) 4
b) 8
c) 16
d) 32
Answer: c) 16
56. If a is odd and b is even, which of the following is always odd?
a) a + b
b) a - b
c) a × b
d) a² + b²
Answer: d) a² + b²
57. What is the greatest common divisor (GCD) of 45 and 60?
a) 5
b) 15
c) 30
d) 45
Answer: b) 15
58. Which of the following is always true for any non-zero integer n?
a) n + (1/n) is an integer
b) n - (1/n) is an integer
c) n² + 1 is even
d) n² - 1 is divisible by n + 1
Answer: d) n² - 1 is divisible by n + 1
59. What is the result of (-6)⁴ ÷ (-2)³?
a) -54
b) 54
c) -108
d) 108
Answer: b) 54
60. If a and b are integers and a is divisible by b, which of the following is always true?
a) a mod b = 0
b) b mod a = 0
c) a ÷ b is an integer
d) Both a and c
Answer: d) Both a and c
If a and b are integers and ab is odd, which of the following must be true?
a) a and b are both odd
b) a is odd and b is even
c) a is even and b is odd
d) a and b are both even
Answer: a) a and b are both odd
37. What is the value of 5C2 (5 choose 2)?
a) 5
b) 10
c) 15
d) 20
Answer: b) 10
38. Which of the following is true for all integers a, b, and c?
a) (a - b) - c = a - (b - c)
b) a - (b + c) = (a - b) - c
c) (a × b) × c = a × (b × c)
d) a × (b - c) = (a × b) - (a × c)
Answer: c) (a × b) × c = a × (b × c)
39. What is the result of |-7| + |7|?
a) 0
b) 7
c) 14
d) -14
Answer: c) 14
40. If a is a multiple of 3 and b is a multiple of 4, which of the following is always true?
a) a + b is a multiple of 7
b) a - b is a multiple of 1
c) a × b is a multiple of 12
d) a ÷ b is a whole number
Answer: c) a × b is a multiple of 12
41. What is the greatest common divisor (GCD) of 18, 24, and 30?
a) 2
b) 3
c) 6
d) 12
Answer: c) 6
42. Which of the following is always true for any non-zero integers a and b?
a) |ab| = |a| × |b|
b) |a + b| = |a| + |b|
c) |a - b| = |a| - |b|
d) |a ÷ b| = |a| ÷ |b|
Answer: a) |ab| = |a| × |b|
43. What is the result of (-3)² × (-2)³?
a) -72
b) 72
c) -36
d) 36
Answer: b) 72
44. If a and b are consecutive odd integers, which of the following is always true?
a) a + b is odd
b) a - b = 1
c) a × b is odd
d) (a + b) ÷ 2 is an integer
Answer: d) (a + b) ÷ 2 is an integer
45. What is the least common multiple (LCM) of 12, 18, and 24?
a) 36
b) 72
c) 144
d) 288
Answer: b) 72
46. Which property is demonstrated by the equation 3 × (1/3) = 1?
a) Commutative property
b) Associative property
c) Distributive property
d) Multiplicative inverse property
Answer: d) Multiplicative inverse property
47. What is the result of 7 × (-2) - 3 × (-4)?
a) -2
b) 2
c) -26
d) 26
Answer: b) 2
48. If a is divisible by 4 and b is divisible by 6, which of the following is always true?
a) a + b is divisible by 10
b) a - b is divisible by 2
c) a × b is divisible by 24
d) a ÷ b is a whole number
Answer: c) a × b is divisible by 24
49. What is the value of 6P3 (6 permute 3)?
a) 20
b) 120
c) 216
d) 720
Answer: b) 120
50. Which of the following is always true for any integer n?
a) n² + n is even
b) n² - n is odd
c) n³ + n² is even
d) n³ - n is divisible by 3
Answer: d) n³ - n is divisible by 3
51. What is the result of (-8) ÷ 2 + 6?
a) -10
b) -2
c) 2
d) 10
Answer: c) 2
52. If a and b are integers and a > b, which of the following is always true?
a) a² > b²
b) a³ > b³
c) |a| > |b|
d) a - b > 0
Answer: d) a - b > 0
53. What is the sum of the interior angles of a pentagon?
a) 360°
b) 450°
c) 540°
d) 720°
Answer: c) 540°
54. Which of the following is an example of the zero product property?
a) 0 × a = 0
b) a + 0 = a
c) a - a = 0
d) a ÷ 0 is undefined
Answer: a) 0 × a = 0
55. What is the result of 5² - 3²?
a) 4
b) 8
c) 16
d) 32
Answer: c) 16
56. If a is odd and b is even, which of the following is always odd?
a) a + b
b) a - b
c) a × b
d) a² + b²
Answer: d) a² + b²
57. What is the greatest common divisor (GCD) of 45 and 60?
a) 5
b) 15
c) 30
d) 45
Answer: b) 15
58. Which of the following is always true for any non-zero integer n?
a) n + (1/n) is an integer
b) n - (1/n) is an integer
c) n² + 1 is even
d) n² - 1 is divisible by n + 1
Answer: d) n² - 1 is divisible by n + 1
59. What is the result of (-6)⁴ ÷ (-2)³?
a) -54
b) 54
c) -108
d) 108
Answer: b) 54
60. If a and b are integers and a is divisible by b, which of the following is always true?
a) a mod b = 0
b) b mod a = 0
c) a ÷ b is an integer
d) Both a and c
Answer: d) Both a and c
If a and b are integers and ab is odd, which of the following must be true?
a) a and b are both odd
b) a is odd and b is even
c) a is even and b is odd
d) a and b are both even
Answer: a) a and b are both odd
37. What is the value of 5C2 (5 choose 2)?
a) 5
b) 10
c) 15
d) 20
Answer: b) 10
38. Which of the following is true for all integers a, b, and c?
a) (a - b) - c = a - (b - c)
b) a - (b + c) = (a - b) - c
c) (a × b) × c = a × (b × c)
d) a × (b - c) = (a × b) - (a × c)
Answer: c) (a × b) × c = a × (b × c)
39. What is the result of |-7| + |7|?
a) 0
b) 7
c) 14
d) -14
Answer: c) 14
40. If a is a multiple of 3 and b is a multiple of 4, which of the following is always true?
a) a + b is a multiple of 7
b) a - b is a multiple of 1
c) a × b is a multiple of 12
d) a ÷ b is a whole number
Answer: c) a × b is a multiple of 12
41. What is the greatest common divisor (GCD) of 18, 24, and 30?
a) 2
b) 3
c) 6
d) 12
Answer: c) 6
42. Which of the following is always true for any non-zero integers a and b?
a) |ab| = |a| × |b|
b) |a + b| = |a| + |b|
c) |a - b| = |a| - |b|
d) |a ÷ b| = |a| ÷ |b|
Answer: a) |ab| = |a| × |b|
43. What is the result of (-3)² × (-2)³?
a) -72
b) 72
c) -36
d) 36
Answer: b) 72
44. If a and b are consecutive odd integers, which of the following is always true?
a) a + b is odd
b) a - b = 1
c) a × b is odd
d) (a + b) ÷ 2 is an integer
Answer: d) (a + b) ÷ 2 is an integer
45. What is the least common multiple (LCM) of 12, 18, and 24?
a) 36
b) 72
c) 144
d) 288
Answer: b) 72
46. Which property is demonstrated by the equation 3 × (1/3) = 1?
a) Commutative property
b) Associative property
c) Distributive property
d) Multiplicative inverse property
Answer: d) Multiplicative inverse property
47. What is the result of 7 × (-2) - 3 × (-4)?
a) -2
b) 2
c) -26
d) 26
Answer: b) 2
48. If a is divisible by 4 and b is divisible by 6, which of the following is always true?
a) a + b is divisible by 10
b) a - b is divisible by 2
c) a × b is divisible by 24
d) a ÷ b is a whole number
Answer: c) a × b is divisible by 24
49. What is the value of 6P3 (6 permute 3)?
a) 20
b) 120
c) 216
d) 720
Answer: b) 120
50. Which of the following is always true for any integer n?
a) n² + n is even
b) n² - n is odd
c) n³ + n² is even
d) n³ - n is divisible by 3
Answer: d) n³ - n is divisible by 3
51. What is the result of (-8) ÷ 2 + 6?
a) -10
b) -2
c) 2
d) 10
Answer: c) 2
52. If a and b are integers and a > b, which of the following is always true?
a) a² > b²
b) a³ > b³
c) |a| > |b|
d) a - b > 0
Answer: d) a - b > 0
53. What is the sum of the interior angles of a pentagon?
a) 360°
b) 450°
c) 540°
d) 720°
Answer: c) 540°
54. Which of the following is an example of the zero product property?
a) 0 × a = 0
b) a + 0 = a
c) a - a = 0
d) a ÷ 0 is undefined
Answer: a) 0 × a = 0
55. What is the result of 5² - 3²?
a) 4
b) 8
c) 16
d) 32
Answer: c) 16
56. If a is odd and b is even, which of the following is always odd?
a) a + b
b) a - b
c) a × b
d) a² + b²
Answer: d) a² + b²
57. What is the greatest common divisor (GCD) of 45 and 60?
a) 5
b) 15
c) 30
d) 45
Answer: b) 15
58. Which of the following is always true for any non-zero integer n?
a) n + (1/n) is an integer
b) n - (1/n) is an integer
c) n² + 1 is even
d) n² - 1 is divisible by n + 1
Answer: d) n² - 1 is divisible by n + 1
59. What is the result of (-6)⁴ ÷ (-2)³?
a) -54
b) 54
c) -108
d) 108
Answer: b) 54
60. If a and b are integers and a is divisible by b, which of the following is always true?
a) a mod b = 0
b) b mod a = 0
c) a ÷ b is an integer
d) Both a and c
Answer: d) Both a and c
If a and b are integers and ab is odd, which of the following must be true?
a) a and b are both odd
b) a is odd and b is even
c) a is even and b is odd
d) a and b are both even
Answer: a) a and b are both odd
37. What is the value of 5C2 (5 choose 2)?
a) 5
b) 10
c) 15
d) 20
Answer: b) 10
38. Which of the following is true for all integers a, b, and c?
a) (a - b) - c = a - (b - c)
b) a - (b + c) = (a - b) - c
c) (a × b) × c = a × (b × c)
d) a × (b - c) = (a × b) - (a × c)
Answer: c) (a × b) × c = a × (b × c)
39. What is the result of |-7| + |7|?
a) 0
b) 7
c) 14
d) -14
Answer: c) 14
40. If a is a multiple of 3 and b is a multiple of 4, which of the following is always true?
a) a + b is a multiple of 7
b) a - b is a multiple of 1
c) a × b is a multiple of 12
d) a ÷ b is a whole number
Answer: c) a × b is a multiple of 12
41. What is the greatest common divisor (GCD) of 18, 24, and 30?
a) 2
b) 3
c) 6
d) 12
Answer: c) 6
42. Which of the following is always true for any non-zero integers a and b?
a) |ab| = |a| × |b|
b) |a + b| = |a| + |b|
c) |a - b| = |a| - |b|
d) |a ÷ b| = |a| ÷ |b|
Answer: a) |ab| = |a| × |b|
43. What is the result of (-3)² × (-2)³?
a) -72
b) 72
c) -36
d) 36
Answer: b) 72
44. If a and b are consecutive odd integers, which of the following is always true?
a) a + b is odd
b) a - b = 1
c) a × b is odd
d) (a + b) ÷ 2 is an integer
Answer: d) (a + b) ÷ 2 is an integer
45. What is the least common multiple (LCM) of 12, 18, and 24?
a) 36
b) 72
c) 144
d) 288
Answer: b) 72
46. Which property is demonstrated by the equation 3 × (1/3) = 1?
a) Commutative property
b) Associative property
c) Distributive property
d) Multiplicative inverse property
Answer: d) Multiplicative inverse property
47. What is the result of 7 × (-2) - 3 × (-4)?
a) -2
b) 2
c) -26
d) 26
Answer: b) 2
48. If a is divisible by 4 and b is divisible by 6, which of the following is always true?
a) a + b is divisible by 10
b) a - b is divisible by 2
c) a × b is divisible by 24
d) a ÷ b is a whole number
Answer: c) a × b is divisible by 24
49. What is the value of 6P3 (6 permute 3)?
a) 20
b) 120
c) 216
d) 720
Answer: b) 120
50. Which of the following is always true for any integer n?
a) n² + n is even
b) n² - n is odd
c) n³ + n² is even
d) n³ - n is divisible by 3
Answer: d) n³ - n is divisible by 3
51. What is the result of (-8) ÷ 2 + 6?
a) -10
b) -2
c) 2
d) 10
Answer: c) 2
52. If a and b are integers and a > b, which of the following is always true?
a) a² > b²
b) a³ > b³
c) |a| > |b|
d) a - b > 0
Answer: d) a - b > 0
53. What is the sum of the interior angles of a pentagon?
a) 360°
b) 450°
c) 540°
d) 720°
Answer: c) 540°
54. Which of the following is an example of the zero product property?
a) 0 × a = 0
b) a + 0 = a
c) a - a = 0
d) a ÷ 0 is undefined
Answer: a) 0 × a = 0
55. What is the result of 5² - 3²?
a) 4
b) 8
c) 16
d) 32
Answer: c) 16
56. If a is odd and b is even, which of the following is always odd?
a) a + b
b) a - b
c) a × b
d) a² + b²
Answer: d) a² + b²
57. What is the greatest common divisor (GCD) of 45 and 60?
a) 5
b) 15
c) 30
d) 45
Answer: b) 15
58. Which of the following is always true for any non-zero integer n?
a) n + (1/n) is an integer
b) n - (1/n) is an integer
c) n² + 1 is even
d) n² - 1 is divisible by n + 1
Answer: d) n² - 1 is divisible by n + 1
59. What is the result of (-6)⁴ ÷ (-2)³?
a) -54
b) 54
c) -108
d) 108
Answer: b) 54
60. If a and b are integers and a is divisible by b, which of the following is always true?
a) a mod b = 0
b) b mod a = 0
c) a ÷ b is an integer
d) Both a and c
Answer: d) Both a and c
If a and b are integers and ab is odd, which of the following must be true?
a) a and b are both odd
b) a is odd and b is even
c) a is even and b is odd
d) a and b are both even
Answer: a) a and b are both odd
37. What is the value of 5C2 (5 choose 2)?
a) 5
b) 10
c) 15
d) 20
Answer: b) 10
38. Which of the following is true for all integers a, b, and c?
a) (a - b) - c = a - (b - c)
b) a - (b + c) = (a - b) - c
c) (a × b) × c = a × (b × c)
d) a × (b - c) = (a × b) - (a × c)
Answer: c) (a × b) × c = a × (b × c)
39. What is the result of |-7| + |7|?
a) 0
b) 7
c) 14
d) -14
Answer: c) 14
40. If a is a multiple of 3 and b is a multiple of 4, which of the following is always true?
a) a + b is a multiple of 7
b) a - b is a multiple of 1
c) a × b is a multiple of 12
d) a ÷ b is a whole number
Answer: c) a × b is a multiple of 12
41. What is the greatest common divisor (GCD) of 18, 24, and 30?
a) 2
b) 3
c) 6
d) 12
Answer: c) 6
42. Which of the following is always true for any non-zero integers a and b?
a) |ab| = |a| × |b|
b) |a + b| = |a| + |b|
c) |a - b| = |a| - |b|
d) |a ÷ b| = |a| ÷ |b|
Answer: a) |ab| = |a| × |b|
43. What is the result of (-3)² × (-2)³?
a) -72
b) 72
c) -36
d) 36
Answer: b) 72
44. If a and b are consecutive odd integers, which of the following is always true?
a) a + b is odd
b) a - b = 1
c) a × b is odd
d) (a + b) ÷ 2 is an integer
Answer: d) (a + b) ÷ 2 is an integer
45. What is the least common multiple (LCM) of 12, 18, and 24?
a) 36
b) 72
c) 144
d) 288
Answer: b) 72
46. Which property is demonstrated by the equation 3 × (1/3) = 1?
a) Commutative property
b) Associative property
c) Distributive property
d) Multiplicative inverse property
Answer: d) Multiplicative inverse property
47. What is the result of 7 × (-2) - 3 × (-4)?
a) -2
b) 2
c) -26
d) 26
Answer: b) 2
48. If a is divisible by 4 and b is divisible by 6, which of the following is always true?
a) a + b is divisible by 10
b) a - b is divisible by 2
c) a × b is divisible by 24
d) a ÷ b is a whole number
Answer: c) a × b is divisible by 24
49. What is the value of 6P3 (6 permute 3)?
a) 20
b) 120
c) 216
d) 720
Answer: b) 120
50. Which of the following is always true for any integer n?
a) n² + n is even
b) n² - n is odd
c) n³ + n² is even
d) n³ - n is divisible by 3
Answer: d) n³ - n is divisible by 3
51. What is the result of (-8) ÷ 2 + 6?
a) -10
b) -2
c) 2
d) 10
Answer: c) 2
52. If a and b are integers and a > b, which of the following is always true?
a) a² > b²
b) a³ > b³
c) |a| > |b|
d) a - b > 0
Answer: d) a - b > 0
53. What is the sum of the interior angles of a pentagon?
a) 360°
b) 450°
c) 540°
d) 720°
Answer: c) 540°
54. Which of the following is an example of the zero product property?
a) 0 × a = 0
b) a + 0 = a
c) a - a = 0
d) a ÷ 0 is undefined
Answer: a) 0 × a = 0
55. What is the result of 5² - 3²?
a) 4
b) 8
c) 16
d) 32
Answer: c) 16
56. If a is odd and b is even, which of the following is always odd?
a) a + b
b) a - b
c) a × b
d) a² + b²
Answer: d) a² + b²
57. What is the greatest common divisor (GCD) of 45 and 60?
a) 5
b) 15
c) 30
d) 45
Answer: b) 15
58. Which of the following is always true for any non-zero integer n?
a) n + (1/n) is an integer
b) n - (1/n) is an integer
c) n² + 1 is even
d) n² - 1 is divisible by n + 1
Answer: d) n² - 1 is divisible by n + 1
59. What is the result of (-6)⁴ ÷ (-2)³?
a) -54
b) 54
c) -108
d) 108
Answer: b) 54
If a and b are integers and ab is odd, which of the following must be true?
a) a and b are both odd
b) a is odd and b is even
c) a is even and b is odd
d) a and b are both even
Answer: a) a and b are both odd
37. What is the value of 5C2 (5 choose 2)?
a) 5
b) 10
c) 15
d) 20
Answer: b) 10
38. Which of the following is true for all integers a, b, and c?
a) (a - b) - c = a - (b - c)
b) a - (b + c) = (a - b) - c
c) (a × b) × c = a × (b × c)
d) a × (b - c) = (a × b) - (a × c)
Answer: c) (a × b) × c = a × (b × c)
39. What is the result of |-7| + |7|?
a) 0
b) 7
c) 14
d) -14
Answer: c) 14
40. If a is a multiple of 3 and b is a multiple of 4, which of the following is always true?
a) a + b is a multiple of 7
b) a - b is a multiple of 1
c) a × b is a multiple of 12
d) a ÷ b is a whole number
Answer: c) a × b is a multiple of 12
41. What is the greatest common divisor (GCD) of 18, 24, and 30?
a) 2
b) 3
c) 6
d) 12
Answer: c) 6
42. Which of the following is always true for any non-zero integers a and b?
a) |ab| = |a| × |b|
b) |a + b| = |a| + |b|
c) |a - b| = |a| - |b|
d) |a ÷ b| = |a| ÷ |b|
Answer: a) |ab| = |a| × |b|
43. What is the result of (-3)² × (-2)³?
a) -72
b) 72
c) -36
d) 36
Answer: b) 72
44. If a and b are consecutive odd integers, which of the following is always true?
a) a + b is odd
b) a - b = 1
c) a × b is odd
d) (a + b) ÷ 2 is an integer
Answer: d) (a + b) ÷ 2 is an integer
45. What is the least common multiple (LCM) of 12, 18, and 24?
a) 36
b) 72
c) 144
d) 288
Answer: b) 72
46. Which property is demonstrated by the equation 3 × (1/3) = 1?
a) Commutative property
b) Associative property
c) Distributive property
d) Multiplicative inverse property
Answer: d) Multiplicative inverse property
47. What is the result of 7 × (-2) - 3 × (-4)?
a) -2
b) 2
c) -26
d) 26
Answer: b) 2
48. If a is divisible by 4 and b is divisible by 6, which of the following is always true?
a) a + b is divisible by 10
b) a - b is divisible by 2
c) a × b is divisible by 24
d) a ÷ b is a whole number
Answer: c) a × b is divisible by 24
49. What is the value of 6P3 (6 permute 3)?
a) 20
b) 120
c) 216
d) 720
Answer: b) 120
50. Which of the following is always true for any integer n?
a) n² + n is even
b) n² - n is odd
c) n³ + n² is even
d) n³ - n is divisible by 3
Answer: d) n³ - n is divisible by 3
51. What is the result of (-8) ÷ 2 + 6?
a) -10
b) -2
c) 2
d) 10
Answer: c) 2
52. If a and b are integers and a > b, which of the following is always true?
a) a² > b²
b) a³ > b³
c) |a| > |b|
d) a - b > 0
Answer: d) a - b > 0
53. What is the sum of the interior angles of a pentagon?
a) 360°
b) 450°
c) 540°
d) 720°
Answer: c) 540°
54. Which of the following is an example of the zero product property?
a) 0 × a = 0
b) a + 0 = a
c) a - a = 0
d) a ÷ 0 is undefined
Answer: a) 0 × a = 0
55. What is the result of 5² - 3²?
a) 4
b) 8
c) 16
d) 32
Answer: c) 16
56. If a is odd and b is even, which of the following is always odd?
a) a + b
b) a - b
c) a × b
d) a² + b²
Answer: d) a² + b²
57. What is the greatest common divisor (GCD) of 45 and 60?
a) 5
b) 15
c) 30
d) 45
Answer: b) 15
58. Which of the following is always true for any non-zero integer n?
a) n + (1/n) is an integer
b) n - (1/n) is an integer
c) n² + 1 is even
d) n² - 1 is divisible by n + 1
Answer: d) n² - 1 is divisible by n + 1
59. What is the result of (-6)⁴ ÷ (-2)³?
a) -54
b) 54
c) -108
d) 108
Answer: b) 54
60. If a and b are integers and a is divisible by b, which of the following is always true?
a) a mod b = 0
b) b mod a = 0
c) a ÷ b is an integer
d) Both a and c
Answer: d) Both a and c
If a and b are integers and ab is odd, which of the following must be true?
a) a and b are both odd
b) a is odd and b is even
c) a is even and b is odd
d) a and b are both even
Answer: a) a and b are both odd
37. What is the value of 5C2 (5 choose 2)?
a) 5
b) 10
c) 15
d) 20
Answer: b) 10
38. Which of the following is true for all integers a, b, and c?
a) (a - b) - c = a - (b - c)
b) a - (b + c) = (a - b) - c
c) (a × b) × c = a × (b × c)
d) a × (b - c) = (a × b) - (a × c)
Answer: c) (a × b) × c = a × (b × c)
39. What is the result of |-7| + |7|?
a) 0
b) 7
c) 14
d) -14
Answer: c) 14
40. If a is a multiple of 3 and b is a multiple of 4, which of the following is always true?
a) a + b is a multiple of 7
b) a - b is a multiple of 1
c) a × b is a multiple of 12
d) a ÷ b is a whole number
Answer: c) a × b is a multiple of 12
41. What is the greatest common divisor (GCD) of 18, 24, and 30?
a) 2
b) 3
c) 6
d) 12
Answer: c) 6
42. Which of the following is always true for any non-zero integers a and b?
a) |ab| = |a| × |b|
b) |a + b| = |a| + |b|
c) |a - b| = |a| - |b|
d) |a ÷ b| = |a| ÷ |b|
Answer: a) |ab| = |a| × |b|
43. What is the result of (-3)² × (-2)³?
a) -72
b) 72
c) -36
d) 36
Answer: b) 72
44. If a and b are consecutive odd integers, which of the following is always true?
a) a + b is odd
b) a - b = 1
c) a × b is odd
d) (a + b) ÷ 2 is an integer
Answer: d) (a + b) ÷ 2 is an integer
45. What is the least common multiple (LCM) of 12, 18, and 24?
a) 36
b) 72
c) 144
d) 288
Answer: b) 72
46. Which property is demonstrated by the equation 3 × (1/3) = 1?
a) Commutative property
b) Associative property
c) Distributive property
d) Multiplicative inverse property
Answer: d) Multiplicative inverse property
47. What is the result of 7 × (-2) - 3 × (-4)?
a) -2
b) 2
c) -26
d) 26
Answer: b) 2
48. If a is divisible by 4 and b is divisible by 6, which of the following is always true?
a) a + b is divisible by 10
b) a - b is divisible by 2
c) a × b is divisible by 24
d) a ÷ b is a whole number
Answer: c) a × b is divisible by 24
49. What is the value of 6P3 (6 permute 3)?
a) 20
b) 120
c) 216
d) 720
Answer: b) 120
50. Which of the following is always true for any integer n?
a) n² + n is even
b) n² - n is odd
c) n³ + n² is even
d) n³ - n is divisible by 3
Answer: d) n³ - n is divisible by 3
51. What is the result of (-8) ÷ 2 + 6?
a) -10
b) -2
c) 2
d) 10
Answer: c) 2
52. If a and b are integers and a > b, which of the following is always true?
a) a² > b²
b) a³ > b³
c) |a| > |b|
d) a - b > 0
Answer: d) a - b > 0
53. What is the sum of the interior angles of a pentagon?
a) 360°
b) 450°
c) 540°
d) 720°
Answer: c) 540°
54. Which of the following is an example of the zero product property?
a) 0 × a = 0
b) a + 0 = a
c) a - a = 0
d) a ÷ 0 is undefined
Answer: a) 0 × a = 0
55. What is the result of 5² - 3²?
a) 4
b) 8
c) 16
d) 32
Answer: c) 16
56. If a is odd and b is even, which of the following is always odd?
a) a + b
b) a - b
c) a × b
d) a² + b²
Answer: d) a² + b²
57. What is the greatest common divisor (GCD) of 45 and 60?
a) 5
b) 15
c) 30
d) 45
Answer: b) 15
58. Which of the following is always true for any non-zero integer n?
a) n + (1/n) is an integer
b) n - (1/n) is an integer
c) n² + 1 is even
d) n² - 1 is divisible by n + 1
Answer: d) n² - 1 is divisible by n + 1
59. What is the result of (-6)⁴ ÷ (-2)³?
a) -54
b) 54
c) -108
d) 108
Answer: b) 54
60. If a and b are integers and a is divisible by b, which of the following is always true?
a) a mod b = 0
b) b mod a = 0
c) a ÷ b is an integer
d) Both a and c
Answer: d) Both a and c
If a and b are integers and ab is odd, which of the following must be true?
a) a and b are both odd
b) a is odd and b is even
c) a is even and b is odd
d) a and b are both even
Answer: a) a and b are both odd
37. What is the value of 5C2 (5 choose 2)?
a) 5
b) 10
c) 15
d) 20
Answer: b) 10
38. Which of the following is true for all integers a, b, and c?
a) (a - b) - c = a - (b - c)
b) a - (b + c) = (a - b) - c
c) (a × b) × c = a × (b × c)
d) a × (b - c) = (a × b) - (a × c)
Answer: c) (a × b) × c = a × (b × c)
39. What is the result of |-7| + |7|?
a) 0
b) 7
c) 14
d) -14
Answer: c) 14
40. If a is a multiple of 3 and b is a multiple of 4, which of the following is always true?
a) a + b is a multiple of 7
b) a - b is a multiple of 1
c) a × b is a multiple of 12
d) a ÷ b is a whole number
Answer: c) a × b is a multiple of 12
41. What is the greatest common divisor (GCD) of 18, 24, and 30?
a) 2
b) 3
c) 6
d) 12
Answer: c) 6
42. Which of the following is always true for any non-zero integers a and b?
a) |ab| = |a| × |b|
b) |a + b| = |a| + |b|
c) |a - b| = |a| - |b|
d) |a ÷ b| = |a| ÷ |b|
Answer: a) |ab| = |a| × |b|
43. What is the result of (-3)² × (-2)³?
a) -72
b) 72
c) -36
d) 36
Answer: b) 72
44. If a and b are consecutive odd integers, which of the following is always true?
a) a + b is odd
b) a - b = 1
c) a × b is odd
d) (a + b) ÷ 2 is an integer
Answer: d) (a + b) ÷ 2 is an integer
45. What is the least common multiple (LCM) of 12, 18, and 24?
a) 36
b) 72
c) 144
d) 288
Answer: b) 72
46. Which property is demonstrated by the equation 3 × (1/3) = 1?
a) Commutative property
b) Associative property
c) Distributive property
d) Multiplicative inverse property
Answer: d) Multiplicative inverse property
47. What is the result of 7 × (-2) - 3 × (-4)?
a) -2
b) 2
c) -26
d) 26
Answer: b) 2
48. If a is divisible by 4 and b is divisible by 6, which of the following is always true?
a) a + b is divisible by 10
b) a - b is divisible by 2
c) a × b is divisible by 24
d) a ÷ b is a whole number
Answer: c) a × b is divisible by 24
49. What is the value of 6P3 (6 permute 3)?
a) 20
b) 120
c) 216
d) 720
Answer: b) 120
50. Which of the following is always true for any integer n?
a) n² + n is even
b) n² - n is odd
c) n³ + n² is even
d) n³ - n is divisible by 3
Answer: d) n³ - n is divisible by 3
51. What is the result of (-8) ÷ 2 + 6?
a) -10
b) -2
c) 2
d) 10
Answer: c) 2
52. If a and b are integers and a > b, which of the following is always true?
a) a² > b²
b) a³ > b³
c) |a| > |b|
d) a - b > 0
Answer: d) a - b > 0
53. What is the sum of the interior angles of a pentagon?
a) 360°
b) 450°
c) 540°
d) 720°
Answer: c) 540°
54. Which of the following is an example of the zero product property?
a) 0 × a = 0
b) a + 0 = a
c) a - a = 0
d) a ÷ 0 is undefined
Answer: a) 0 × a = 0
55. What is the result of 5² - 3²?
a) 4
b) 8
c) 16
d) 32
Answer: c) 16
56. If a is odd and b is even, which of the following is always odd?
a) a + b
b) a - b
c) a × b
d) a² + b²
Answer: d) a² + b²
57. What is the greatest common divisor (GCD) of 45 and 60?
a) 5
b) 15
c) 30
d) 45
Answer: b) 15
58. Which of the following is always true for any non-zero integer n?
a) n + (1/n) is an integer
b) n - (1/n) is an integer
c) n² + 1 is even
d) n² - 1 is divisible by n + 1
Answer: d) n² - 1 is divisible by n + 1
59. What is the result of (-6)⁴ ÷ (-2)³?
a) -54
b) 54
c) -108
d) 108
Answer: b) 54
60. If a and b are integers and a is divisible by b, which of the following is always true?
a) a mod b = 0
b) b mod a = 0
c) a ÷ b is an integer
d) Both a and c
Answer: d) Both a and c
If a and b are integers and ab is odd, which of the following must be true?
a) a and b are both odd
b) a is odd and b is even
c) a is even and b is odd
d) a and b are both even
Answer: a) a and b are both odd
37. What is the value of 5C2 (5 choose 2)?
a) 5
b) 10
c) 15
d) 20
Answer: b) 10
38. Which of the following is true for all integers a, b, and c?
a) (a - b) - c = a - (b - c)
b) a - (b + c) = (a - b) - c
c) (a × b) × c = a × (b × c)
d) a × (b - c) = (a × b) - (a × c)
Answer: c) (a × b) × c = a × (b × c)
39. What is the result of |-7| + |7|?
a) 0
b) 7
c) 14
d) -14
Answer: c) 14
40. If a is a multiple of 3 and b is a multiple of 4, which of the following is always true?
a) a + b is a multiple of 7
b) a - b is a multiple of 1
c) a × b is a multiple of 12
d) a ÷ b is a whole number
Answer: c) a × b is a multiple of 12
41. What is the greatest common divisor (GCD) of 18, 24, and 30?
a) 2
b) 3
c) 6
d) 12
Answer: c) 6
42. Which of the following is always true for any non-zero integers a and b?
a) |ab| = |a| × |b|
b) |a + b| = |a| + |b|
c) |a - b| = |a| - |b|
d) |a ÷ b| = |a| ÷ |b|
Answer: a) |ab| = |a| × |b|
43. What is the result of (-3)² × (-2)³?
a) -72
b) 72
c) -36
d) 36
Answer: b) 72
44. If a and b are consecutive odd integers, which of the following is always true?
a) a + b is odd
b) a - b = 1
c) a × b is odd
d) (a + b) ÷ 2 is an integer
Answer: d) (a + b) ÷ 2 is an integer
45. What is the least common multiple (LCM) of 12, 18, and 24?
a) 36
b) 72
c) 144
d) 288
Answer: b) 72
46. Which property is demonstrated by the equation 3 × (1/3) = 1?
a) Commutative property
b) Associative property
c) Distributive property
d) Multiplicative inverse property
Answer: d) Multiplicative inverse property
47. What is the result of 7 × (-2) - 3 × (-4)?
a) -2
b) 2
c) -26
d) 26
Answer: b) 2
48. If a is divisible by 4 and b is divisible by 6, which of the following is always true?
a) a + b is divisible by 10
b) a - b is divisible by 2
c) a × b is divisible by 24
d) a ÷ b is a whole number
Answer: c) a × b is divisible by 24
49. What is the value of 6P3 (6 permute 3)?
a) 20
b) 120
c) 216
d) 720
Answer: b) 120
50. Which of the following is always true for any integer n?
a) n² + n is even
b) n² - n is odd
c) n³ + n² is even
d) n³ - n is divisible by 3
Answer: d) n³ - n is divisible by 3
51. What is the result of (-8) ÷ 2 + 6?
a) -10
b) -2
c) 2
d) 10
Answer: c) 2
52. If a and b are integers and a > b, which of the following is always true?
a) a² > b²
b) a³ > b³
c) |a| > |b|
d) a - b > 0
Answer: d) a - b > 0
53. What is the sum of the interior angles of a pentagon?
a) 360°
b) 450°
c) 540°
d) 720°
Answer: c) 540°
54. Which of the following is an example of the zero product property?
a) 0 × a = 0
b) a + 0 = a
c) a - a = 0
d) a ÷ 0 is undefined
Answer: a) 0 × a = 0
55. What is the result of 5² - 3²?
a) 4
b) 8
c) 16
d) 32
Answer: c) 16
56. If a is odd and b is even, which of the following is always odd?
a) a + b
b) a - b
c) a × b
d) a² + b²
Answer: d) a² + b²
57. What is the greatest common divisor (GCD) of 45 and 60?
a) 5
b) 15
c) 30
d) 45
Answer: b) 15
58. Which of the following is always true for any non-zero integer n?
a) n + (1/n) is an integer
b) n - (1/n) is an integer
c) n² + 1 is even
d) n² - 1 is divisible by n + 1
Answer: d) n² - 1 is divisible by n + 1
59. What is the result of (-6)⁴ ÷ (-2)³?
a) -54
b) 54
c) -108
d) 108
Answer: b) 54
60. If a and b are integers and a is divisible by b, which of the following is always true?
a) a mod b = 0
b) b mod a = 0
c) a ÷ b is an integer
d) Both a and c
Answer: d) Both a and c
If a and b are integers and ab is odd, which of the following must be true?
a) a and b are both odd
b) a is odd and b is even
c) a is even and b is odd
d) a and b are both even
Answer: a) a and b are both odd
37. What is the value of 5C2 (5 choose 2)?
a) 5
b) 10
c) 15
d) 20
Answer: b) 10
38. Which of the following is true for all integers a, b, and c?
a) (a - b) - c = a - (b - c)
b) a - (b + c) = (a - b) - c
c) (a × b) × c = a × (b × c)
d) a × (b - c) = (a × b) - (a × c)
Answer: c) (a × b) × c = a × (b × c)
39. What is the result of |-7| + |7|?
a) 0
b) 7
c) 14
d) -14
Answer: c) 14
40. If a is a multiple of 3 and b is a multiple of 4, which of the following is always true?
a) a + b is a multiple of 7
b) a - b is a multiple of 1
c) a × b is a multiple of 12
d) a ÷ b is a whole number
Answer: c) a × b is a multiple of 12
41. What is the greatest common divisor (GCD) of 18, 24, and 30?
a) 2
b) 3
c) 6
d) 12
Answer: c) 6
42. Which of the following is always true for any non-zero integers a and b?
a) |ab| = |a| × |b|
b) |a + b| = |a| + |b|
c) |a - b| = |a| - |b|
d) |a ÷ b| = |a| ÷ |b|
Answer: a) |ab| = |a| × |b|
43. What is the result of (-3)² × (-2)³?
a) -72
b) 72
c) -36
d) 36
Answer: b) 72
44. If a and b are consecutive odd integers, which of the following is always true?
a) a + b is odd
b) a - b = 1
c) a × b is odd
d) (a + b) ÷ 2 is an integer
Answer: d) (a + b) ÷ 2 is an integer
45. What is the least common multiple (LCM) of 12, 18, and 24?
a) 36
b) 72
c) 144
d) 288
Answer: b) 72
46. Which property is demonstrated by the equation 3 × (1/3) = 1?
a) Commutative property
b) Associative property
c) Distributive property
d) Multiplicative inverse property
Answer: d) Multiplicative inverse property
47. What is the result of 7 × (-2) - 3 × (-4)?
a) -2
b) 2
c) -26
d) 26
Answer: b) 2
48. If a is divisible by 4 and b is divisible by 6, which of the following is always true?
a) a + b is divisible by 10
b) a - b is divisible by 2
c) a × b is divisible by 24
d) a ÷ b is a whole number
Answer: c) a × b is divisible by 24
49. What is the value of 6P3 (6 permute 3)?
a) 20
b) 120
c) 216
d) 720
Answer: b) 120
50. Which of the following is always true for any integer n?
a) n² + n is even
b) n² - n is odd
c) n³ + n² is even
d) n³ - n is divisible by 3
Answer: d) n³ - n is divisible by 3
51. What is the result of (-8) ÷ 2 + 6?
a) -10
b) -2
c) 2
d) 10
Answer: c) 2
52. If a and b are integers and a > b, which of the following is always true?
a) a² > b²
b) a³ > b³
c) |a| > |b|
d) a - b > 0
Answer: d) a - b > 0
53. What is the sum of the interior angles of a pentagon?
a) 360°
b) 450°
c) 540°
d) 720°
Answer: c) 540°
54. Which of the following is an example of the zero product property?
a) 0 × a = 0
b) a + 0 = a
c) a - a = 0
d) a ÷ 0 is undefined
Answer: a) 0 × a = 0
55. What is the result of 5² - 3²?
a) 4
b) 8
c) 16
d) 32
Answer: c) 16
56. If a is odd and b is even, which of the following is always odd?
a) a + b
b) a - b
c) a × b
d) a² + b²
Answer: d) a² + b²
57. What is the greatest common divisor (GCD) of 45 and 60?
a) 5
b) 15
c) 30
d) 45
Answer: b) 15
58. Which of the following is always true for any non-zero integer n?
a) n + (1/n) is an integer
b) n - (1/n) is an integer
c) n² + 1 is even
d) n² - 1 is divisible by n + 1
Answer: d) n² - 1 is divisible by n + 1
59. What is the result of (-6)⁴ ÷ (-2)³?
a) -54
b) 54
c) -108
d) 108
Answer: b) 54
60. If a and b are integers and a is divisible by b, which of the following is always true?
a) a mod b = 0
b) b mod a = 0
c) a ÷ b is an integer
d) Both a and c
Answer: d) Both a and c
If a and b are integers and ab is odd, which of the following must be true?
a) a and b are both odd
b) a is odd and b is even
c) a is even and b is odd
d) a and b are both even
Answer: a) a and b are both odd
37. What is the value of 5C2 (5 choose 2)?
a) 5
b) 10
c) 15
d) 20
Answer: b) 10
38. Which of the following is true for all integers a, b, and c?
a) (a - b) - c = a - (b - c)
b) a - (b + c) = (a - b) - c
c) (a × b) × c = a × (b × c)
d) a × (b - c) = (a × b) - (a × c)
Answer: c) (a × b) × c = a × (b × c)
39. What is the result of |-7| + |7|?
a) 0
b) 7
c) 14
d) -14
Answer: c) 14
40. If a is a multiple of 3 and b is a multiple of 4, which of the following is always true?
a) a + b is a multiple of 7
b) a - b is a multiple of 1
c) a × b is a multiple of 12
d) a ÷ b is a whole number
Answer: c) a × b is a multiple of 12
41. What is the greatest common divisor (GCD) of 18, 24, and 30?
a) 2
b) 3
c) 6
d) 12
Answer: c) 6
42. Which of the following is always true for any non-zero integers a and b?
a) |ab| = |a| × |b|
b) |a + b| = |a| + |b|
c) |a - b| = |a| - |b|
d) |a ÷ b| = |a| ÷ |b|
Answer: a) |ab| = |a| × |b|
43. What is the result of (-3)² × (-2)³?
a) -72
b) 72
c) -36
d) 36
Answer: b) 72
44. If a and b are consecutive odd integers, which of the following is always true?
a) a + b is odd
b) a - b = 1
c) a × b is odd
d) (a + b) ÷ 2 is an integer
Answer: d) (a + b) ÷ 2 is an integer
45. What is the least common multiple (LCM) of 12, 18, and 24?
a) 36
b) 72
c) 144
d) 288
Answer: b) 72
46. Which property is demonstrated by the equation 3 × (1/3) = 1?
a) Commutative property
b) Associative property
c) Distributive property
d) Multiplicative inverse property
Answer: d) Multiplicative inverse property
47. What is the result of 7 × (-2) - 3 × (-4)?
a) -2
b) 2
c) -26
d) 26
Answer: b) 2
48. If a is divisible by 4 and b is divisible by 6, which of the following is always true?
a) a + b is divisible by 10
b) a - b is divisible by 2
c) a × b is divisible by 24
d) a ÷ b is a whole number
Answer: c) a × b is divisible by 24
49. What is the value of 6P3 (6 permute 3)?
a) 20
b) 120
c) 216
d) 720
Answer: b) 120
50. Which of the following is always true for any integer n?
a) n² + n is even
b) n² - n is odd
c) n³ + n² is even
d) n³ - n is divisible by 3
Answer: d) n³ - n is divisible by 3
51. What is the result of (-8) ÷ 2 + 6?
a) -10
b) -2
c) 2
d) 10
Answer: c) 2
52. If a and b are integers and a > b, which of the following is always true?
a) a² > b²
b) a³ > b³
c) |a| > |b|
d) a - b > 0
Answer: d) a - b > 0
53. What is the sum of the interior angles of a pentagon?
a) 360°
b) 450°
c) 540°
d) 720°
Answer: c) 540°
54. Which of the following is an example of the zero product property?
a) 0 × a = 0
b) a + 0 = a
c) a - a = 0
d) a ÷ 0 is undefined
Answer: a) 0 × a = 0
55. What is the result of 5² - 3²?
a) 4
b) 8
c) 16
d) 32
Answer: c) 16
56. If a is odd and b is even, which of the following is always odd?
a) a + b
b) a - b
c) a × b
d) a² + b²
Answer: d) a² + b²
57. What is the greatest common divisor (GCD) of 45 and 60?
a) 5
b) 15
c) 30
d) 45
Answer: b) 15
58. Which of the following is always true for any non-zero integer n?
a) n + (1/n) is an integer
b) n - (1/n) is an integer
c) n² + 1 is even
d) n² - 1 is divisible by n + 1
Answer: d) n² - 1 is divisible by n + 1
59. What is the result of (-6)⁴ ÷ (-2)³?
a) -54
b) 54
c) -108
d) 108
Answer: b) 54
60. If a and b are integers and a is divisible by b, which of the following is always true?
a) a mod b = 0
b) b mod a = 0
c) a ÷ b is an integer
d) Both a and c
Answer: d) Both a and c
60. If a and b are integers and a is divisible by b, which of the following is always true?
a) a mod b = 0
b) b mod a = 0
c) a ÷ b is an integer
d) Both a and c
Answer: d) Both a and c
61. What is the least common multiple (LCM) of 15
