# Class 10 Real numbers mcqs important maths questions

Class 10 maths Real numbers – Here are some multiple choice questions (mcqs) for class 10 maths chapter 1 Real numbers for the best preparation for the exams. All the questions are important for the students whether they have taken basic or standard maths. All questions have been prepared for the best preparation by our expert team. Objective type questions are the part of the term 1 board exam 2021-22.

CBSE introduced the new pattern for board examination for the session of 2021-22. Term 1 exam of MCQ questions. And term 2 exam of subjective exams.

### Class 10 real numbers mcqs

Class 10 – MATHS

Ch-1 Real Numbers (basic and standard questions)

(35 questions)

1. The product of a non-zero rational and an irrational number is

(a) Always rational                              (b) Rational or irrational

(c) Always irrational                           (d) Zero

2. 1192 – 1112 is

(a) Prime number                             (b) Composite number

(c) An odd prime number             (d) An odd composite number

3. If a = 23*3, b =2*3*5, c=3n *5 and LCM (a, b, c) =23 *32*5, then n =

(a) 1                             (b) 2

(c) 3                             (d) 4

4. 2.13113111311113 …… is

(a) An integer                          (b) An irrational number

(c) A rational number           (d) None of these

5. If LCM = 350, product of two numbers is 25 x 70, then their HCF = 5.

(a)12                                  (b) 15

(c) 5                                   (d) 10

6. Which of the following rational numbers have terminating decimal?

i) 16/50              ii)5/18            iii)2/21             iv) 7/250

(a) i and ii                    (b) ii and iii

(c) i and iii                   (d) i and iv

7. The smallest rational number by which 1/3 should be multiplied so that its decimal expansion terminates after one place of decimal, is

(a) 3/10                           (b) 1/10

(c) 3                                  (d) 3/100

8. The smallest number by which should be multiplied so as to get a rational number is

(a) √27                               (b) 3√3

(c) √3                                  (d) 3

9. If A 2= 2n + 13, B =n+7, where n is a natural number then HCF of A and B is

(a) 2                                  (b) 1

(c) 3                                  (d) 4

10. .From the following rational number, which decimal expansion is terminating is

(a) 2/15                              (b) 11/160

(c) 17/60                            (d) 6/35

### Class 10 maths important questions

11. 13/1250 is a

(a) Terminating decimal fraction                         (b) Non-terminating decimal fraction

(c) Upto 2 decimal fraction                                     (d) None of these

12. The product of HCF and LCM of smallest prime number and the smallest composite number is

(a) 2                                                      (b) 4

(c) 6                                                      (d) 8

13. The sum of powers of prime factors of 196 is

(a) 1                                              (b) 2

(c) 4                                               (d) 6

14. The decimal expansion of the rational number 53/245will terminate after how many places of decimal?

(a) 1                                                 (b) 2

(c) 3                                                 (d) 4

15. If HCF (306,657) =9 , what will the LCM (306,657)?

(a) 12338                                    (b) 22338

(c) 23388                                    (d) 23288

16. What will be the least possible number of the planks, if three pieces of timber 42m, 49m and 63m long have to be divided into planks of the same length?

(a) 5                                         (b) 6

(c) 7                                         (d) None of these

17. The decimal expansion of 17/125 is

(a) 1.36                                   (b) 0.136

(c) 13.6                                   (d) None of these

18. The decimal expansion of 13/8 is

(a) 1.625                                 (b) 1.25

(c) 1.675                                 (d) 1.0625

19. The LCM of 3x2y , 4xz2 and 5y2z (where x is a positive integer) is

(a) 30xy2z2                               (b)        15xyz2

(c) 20x3y2z                          (d) 60x2y2z2`

20. 5(√11 – √3) is an

(a) Rational number                          (b) Irrational number

(c) Undefined                                       (d) None of these

### Class 10 ncert chapter notes

21. The ratio between HCF and LCM of 15,20 and 5 is

(a) 1:9                                     (b) 1:11

(c) 1:12                                   (d) 3:4

22.HCF of two numbers is 23 and their LCM is 1449. If one of the number is 161 , then the other number is

(a) 207                                 (b) 307

(c) 1449                               (d) None of these

23. Which of the following is an irrational number?

(a) 0.133133133….                                      (b) 5.329685…….

(c) 3.5428                                                       (d) 9.265

24. Denominator of the decimal expression 3.434 is of the form 2m5n, where m and n are positive integers.

(a) True                                    (b) False

(c) Can’t say                           (d) None of these

25.The square root of all the positive integers are

(a) Rational number                          (b) Irrational number

(c) May be rational or irrational         (d) None of these

26. The LCM and HCF of two numbers are 264 and 33 respectively, when the first number is completely divide by 2 the quotient is 33, the other number is

(a) 66                                         (b) 130

(c) 132                                       (d) 196

27. In a school there are 2 section, section A and section B of class X. there are 32 students in section A and 36 students in section B. Find the maximum number of books required for class library so that they can distribute equally among the students of section A and section B.

(a) 288                                           (b) 388

(c) 208                                            (d) None of these

###### Class 10 maths Chapter 2 polynomials mcqs

28. 1242/343 is a decimal

(a) Non terminating repeating                    (b) Non termination non repeating

(c) Terminating                                                  (d) None of these

29. Which of the following is a decimal expansion of an irrational number?

(a) 4.761                                      (b) 0.323232….

(c) 5.010010002……                 (d) 6.030303…

30. HCF of (23*32*5) , (23*33*52) and (24*3*53*7) is

(a) 30                                            (b) 48

(c) 60                                             (d) 105

31. The LCM and HCF of two non-zero positive numbers are equal, then the number must be

(a) Prime                                       (b) Coprime

(c) Composite                             (d) Equal

32. If X=28 + (1*2*3*4*…*16*28*) and Y=17+ (1*2*3*…*17) then which of the following is true?

(a) X is a prime number                          (b) Y is a prime number

(c) X-Y is a prime number                       (d) X-Y is a composite number

33. The value of HCF (8,9,25) * LCM (8,9,35) is

(a) 50                                     (b) 1800

(c) 1810                                (d) 1500

34. If Lcm of (a,b)=53 and HCF of (a,b) = 12 , the product of a*b is

(a) 636                                    (b) 666

(c) 696                                     (d) 646

35. Which of the following has a terminating decimal expansion?

(a) 23/200                               (b) 17/9

(c) 8/75                                    (d) 3/35

Class 10 maths real numbers chapter 1 ncert pdf

Class 10 maths real numbers mcqs chapter 1