Mathematics MCQ Quiz Hub

1. Which of the following type of numbers are closed under only multiplication?
Rational Numbers
Integers
Whole Numbers
Natural Numbers

2. By using the properties of rational numbers solve the following equation (8 + 0) + (6 * 3).
26
24
28
0

3. Between any consecutive two integers, there are always infinite integers.
True
False

4. The maximum number of integers between two consecutive natural numbers is ________
zero
2
3
infinite

5. [….., -1, 0, 1, …….] the given set shows which type of numbers?
Rational numbers
Integers
Natural numbers
Whole numbers

6. An irrational number has ________
Non-terminating decimal
Non-repeating decimal
Non-terminating and non-repeating decimal
Terminating decimal

7. The product of a rational and an irrational number is rational number.
True
False

8. The product of two irrational numbers is an irrational number.
True
False

9. The sum of two rational numbers is a rational number.
False
True

10. The sum of two irrational numbers is a rational number.
False
True

11. Irrational numbers are denoted by _______
N
Z
Q
S

12. Real numbers are denoted by which letter?
R
W
Q
N

13. All irrational numbers are real numbers.
True
False

14. How many real numbers are there between 3 and 8 (Including 3 and 8)?
Six
Four
Infinite
Five

15. Every point on the number line represents a unique real number.
True
False

16. Which of the following option is correct according to the below statements? i) Every rational number is real number. ii) Every real number is rational number.
Both statements are correct
Statement (i) is correct and statement (ii) is incorrect
Statement (i) is incorrect and statement (ii) is correct
Both statements are incorrect

17. Summation or Subtraction of two non-zero rational numbers is a/an __________
natural number
whole number
rational Number
irrational number

18. If we multiply or divide two rational numbers, we get a/an __________
natural number
whole number
rational Number
irrational number

19. If we add or subtract an irrational number and a rational number (non-zero), then we get a/an __________ number.
natural
rational
irrational
rational or irrational

20. If we add or subtract two irrational numbers, we get __________ number.
natural
rational
irrational
rational or irrational

21. 3 + 2–√ is a/an __________ number.
natural
irrational
rational
whole

22. π – π is __________ number.
natural
irrational
rational
negative

23. By simplifying (7–√+5–√)∗(7–√−5–√), we get __________
24
2
12
74

24. By simplifying (3–√+2–√)∗(3–√+2–√), we get __________
5 + 4√6
5 + 2√6
1
5

25. Summation or Subtraction of rational number and irrational number is always a/an __________ number.
natural
whole number
rational number
irrational number

26. Which of the following is Natural number?
3.5
7
0
-2

27. Integer numbers set is denoted by which letter?
N
W
Q
Z

28. Find the incorrect option (Assume conventional notations).
Q = p/q where p and q are integers and q=0
N = {1, 2, 3…}
W = {0, 1, 2, 3…}
Z = {…-2, -1, 0, 1, 2…}

29. Zero is a rational number.
False
True

30. There are _________ rational numbers between 2 and 3.
zero
two
infinite
data is insufficient

31. Which of the following option is true based on the below statements? i) All integers are rational numbers. ii) All rational numbers are integers.
Both statements are true
Statement (i) is true and Statement (ii) is false
Statement (i) is false and Statement (ii) is true
Both statements are false

32. Which of the following is not rational number?
8/9
5/7
-3/2
√2

33. How many whole numbers are there between -3 and 3 (Including -3 and 3)?
Four
Zero
Seven
Three

34. N is subset of W, Z and Q. (Assume conventional notations)
True
False

35. A sequence in which each term differs from its preceding term by a constant is called arithmetic progression.
True
False

36. If we add the terms of an AP, then we get a corresponding series.
True
False

37. Sequences which follow a definite pattern called progressions.
True
False

38. If the first term of an AP is a and its common difference is d then the nth term is given by Tn = a + (n – 1)d
True
False

39. Which term of the AP 2, 11, 20, 29…… is 290?
32
35
30
33

40. How many terms are there in the AP 9, 16, 23, 30……………282?
50
45
40
42

41. The middle term of the AP 11, 8, 5, … , -79 will be?
30
-34
34
-30

42. Which term of the AP 80, 76, 72, 68……. is the first negative term?
22
21
23
24

43. The sum of three numbers is 30 and their product 750. What are the three numbers?
-2, -6 and -10
2, 6, and 10
5, 10 and 15
-5, -10 and -15

44. Four numbers whose sum is 40 and sum of their squares is 480. What are the four numbers?
4, 8, 12, and -16
4, 8, 12, and 16
-4, 8, 12, and 16
4, -8, 12, and 16

45. The sum of 5 numbers in AP is 10 and their product is 80. What are the five numbers?
2 + 2√6, 2 + √6, 2, 2 – 2√6, 2 – √6
2 + 2√6, 2 + √6, 2 – 2√6, 2 – √6
2 + 2√6, 2 – √6, 2, 2 – 2√6, 2 – √6
2 + 2√6, 2, 2 – 2√6, 2 – √6

46. The sum of first 20 terms of the AP 10, 12, 14, 16, 18…. is _________
200
580
620
440

47. The sum of 50 + 100 + 150 + 200 + …….. + 1000 is _________
10000
14400
10500
12100

48. What will be the sum of all 3-digit even positive numbers?
247050
269450
269350
269580

49. The sum of all 2 – digit numbers divisible by 19 will be __________
345
245
275
285

50. What will be the sum of all natural numbers lying between 500 and 5000, which are divisible by 17?
567898
729810
765835
234526

51. If the sum of first n terms of an AP is given by Sn = 4n2 + 6, then its first term will be _________
4
3
5
1

52. How many terms of the AP 5,10,15,20….. must be added to get a sum of 330?
-11
-12
12
11

53. The sum of the first 10 terms of an AP is the same as the sum of its first 5 terms, then the sum of its 15th term will be _______
1
0
2
3

54. The sum of the first 12 terms of an AP is 15 and the sum of its first 15 terms is 12, then the sum of its first 27 terms will be __________
-24
24
27
-27

55. If set A={1,2,3,4} and B={3,4,5,6}. Find A-B.
{1,2,3,4,5,6}
{3,4}
{1,2}
{5,6}

56. If set A = {1,2,3,4} and B = {3,4,5,6}. Find B-A.
{1,2,3,4,5,6}
{3,4}
{1,2}
{5,6}

57. Does A-B=B-A always correct?
True
False

58. If A-B=B-A then A and B are ____________
equivalent sets
equal sets
disjoint sets
empty sets

59. A – B, A ∩ B and B – A are mutually disjoint sets or not.
True
False

60. If R is the set of real numbers and S is the set of rational numbers, then what is R – S?
Set of integers
Set of whole numbers
Set of irrational numbers
Set of complex numbers