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Class 10th Chapter Real Numbers MCQs (Math)

In class IX, we have read about real numbers which are either rational or irrational numbers. Here, we will study two very useful properties of positive integers (natural numbers) called Euclid’s division algorithm and the Fundamental Theorem of Arithmetic.

Books Guru Gyan providing you the Multiple Choice Questions (MCQs) of Chapter Real Number of Class Xth. Scroll-Down to read the MCQs Online or Download n Pdf.

Chapter Name : Real Numbers

Read this Book :

No. of Questions : 31



Questions
1. √2 is
  1. an integer
  2. an irrational number
  3. a rational number
  4. none of these
2. π / 2 is
  1. rational
  2. irrational
  3. none of these
  4. real number
3. 2.12112111211112...... is
  1. rational
  2. an integer
  3. irrational
  4. none of these
4. 4.2323..... is
  1. an integer
  2. a rational number
  3. an irrational number
  4. none of these
5. (3-√3) is
  1. rational
  2. irrational
  3. an integer
  4. none of these
6. 5.2372 is
  1. an integer
  2. a rational number
  3. an irrational number
  4. none of these
7. 11.23564564564.... is
  1. an integer
  2. an irrational number
  3. a rational number
  4. none of these
8. √3 / √12 is
  1. rational
  2. irrational
  3. none of these
9. 1 / √3 is
  1. rational
  2. irrational
  3. none of these
10. 5√2 is
  1. rational
  2. irrational
  3. none of these
11. For some integer q even integer in the form
  1. q
  2. q + 2
  3. 2q + 1
  4. 2q
12. The largest number which divides 77 and 85 leaving remainder 7 and 5 respectively is
  1. 10
  2. 25
  3. 20
  4. 8
13. n^2 - 1 is divisible by 8 if n is
  1. an even integer
  2. an odd integer
  3. a natural number
  4. an integer
14. For some integer n, every odd integer is in the form
  1. n
  2. n + 1
  3. 2n
  4. 2n + 1
15. The least number that is divisible by all the numbers form 1 to 5 is
  1. 30
  2. 20
  3. 60
  4. o
16. Decimal expansion of a rational number is
  1. always non terminating
  2. always terminating
  3. either terminating or non terminating recurring
  4. none of these
17. If x and y are prime numbers then the LCm of x^3.y^2 and x^2.y^3 is
  1. x^3.y^3
  2. x^2.y^2
  3. x^3.y^3
  4. x.y
18. If p and q are prime numbers then HCF of p^3.q^2 and p^2.q is
  1. p^3.q^2
  2. p^2.q
  3. p^2.q^2
  4. pq
19. If (-1)^n + (-1)^4n = 0, then n is
  1. any negative integer
  2. any even natural number
  3. any positive integer
  4. any odd natural integer
20. The decimal expression of the rational number 14587/1250 will terminate after
  1. one decimal place
  2. two decimal place
  3. three decimal place
  4. four decimal place
21. 4.27272727..... is
  1. an integer
  2. a rational number
  3. a natural number
  4. an irrational number
22. The smallest number by which √8 should be multiplied so as to get a rational number
  1. √8
  2. 2√2
  3. √2
  4. 2
23. The remainder when the square of any prime number greater than 3 is divided by 6 is
  1. 1
  2. 4
  3. 3
  4. 2
24. If n is a natural number then q^2n - 4^2m is always divisible by
  1. 5
  2. 13
  3. 5 and 13
  4. none of these
25. If n is any natural number then, 6^n - 5^n always ends with
  1. 1
  2. 3
  3. 5
  4. 7
26. Which of these rational number is terminating decimal
  1. 7/18
  2. 13/21
  3. 8/200
  4. 16/225
27. If HCF of (26, 169) = 13 then LCM (26, 169) is
  1. 26
  2. 52
  3. 13
  4. 338
28. If a=2^3 x , b=2x3x5, c=3^n x 5 and LCM (a,b,c) = 2^3 x 3^2 x 5 then n =
  1. 2
  2. 3
  3. 4
  4. 1
29. If 3 is the least prime factor of a number a and 7 is the least prime factor of a number b, then the least prime factor of a+b is
  1. 3
  2. 5
  3. 2
  4. 10
30. LCM of (x, 18)=36 and HCF (x,18)=2 then x is
  1. 2
  2. 3
  3. 4
  4. 1
31. √7 is
  1. an integer
  2. an irrational number
  3. rational number
  4. none of these
ANSWER
Question No. Answer
1 b
2 b
3 c
4 b
5 b
6 b
7 c
8 a
9 b
10 b
11 d
12 a
13 b
14 d
15 c
16 b
17 c
18 b
19 d
20 d
21 b
22 c
23 a
24 b
25 a
26 c
27 d
28 a
29 c
30 c
31 b


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