Welcome to your Real Numbers MCQs Mock Test of 10th Class Mathematics

1.
Q1. Using Euclid’s Lemma, if d is the HCF of 1155 and 506, find ‘d’

2.
Q2. If A = 2n + 13, B = n + 7 where n is a natural number then HCF of A and B

3.
Q3. The decimal expansion of n is

4.
Q4. (-1)n + (-1)8n = 0 when n is

5.
Q5. n² – 1 is divisible by 8, if n is

6.
Q6. If n is a natural number, then exactly one of numbers n, n + 2 and n + 1 must be a multiple of

8.
8. Which of the following is not irrational?

9.
9. The product of a rational and irrational number is

10.
10. The sum of a rational and irrational number is

11.
11. The product of two different irrational numbers is always

12.
12. The sum of two irrational numbers is always

13.
13. If b = 3, then any integer can be expressed as a =

14.
14. The product of three consecutive positive integers is divisible by

15.
15. The set A = {0,1, 2, 3, 4, …} represents the set of

16.
16. Which number is divisible by 11?

17.
17. LCM of the given number ‘x’ and ‘y’ where y is a multiple of ‘x’ is given by

18.
18. The largest number that will divide 398,436 and 542 leaving remainders 7,11 and 15 respectively is

19.
19. There are 312, 260 and 156 students in class X, XI and XII respectively. Buses are to be hired to take these students to a picnic. Find the maximum number of students who can sit in a bus if each bus takes equal number of students

20.
20. There is a circular path around a sports field. Priya takes 18 minutes to drive one round of the field. Harish takes 12 minutes. Suppose they both start at the same point and at the same time and go in the same direction. After how many minutes will they meet ?

21.
21. Express 98 as a product of its primes

22.
22. Three farmers have 490 kg, 588 kg and 882 kg of wheat respectively. Find the maximum capacity of a bag so that the wheat can be packed in exact number of bags.

23.
23. For some integer p, every even integer is of the form

24.
24. For some integer p, every odd integer is of the form

25.
25. m² – 1 is divisible by 8, if m is

26.
26. If two positive integers A and B can be ex-pressed as A = xy3 and B = xiy2z; x, y being prime numbers, the LCM (A, B) is

27.
27. The product of a non-zero rational and an irrational number is

28.
28. If two positive integers A and B can be expressed as A = xy3 and B = x4y2z; x, y being prime numbers then HCF (A, B) is

29.
29. The largest number which divides 60 and 75, leaving remainders 8 and 10 respectively, is

30.
30. The least number that is divisible by all the numbers from 1 to 5 (both inclusive) is

31.
31. The least number that is divisible by all the numbers from 1 to 8 (both inclusive) is

32.
32. The decimal expansion of the rational number [Math Processing Error] will terminate after:

33.
33. The decimal expansion of the rational number [Math Processing Error] will terminate after:

34.
34. The product of two consecutive natural numbers is always:

35.
35. If the HCF of 408 and 1032 is expressible in the form 1032 x 2 + 408 × p, then the value of p is

36.
36. The number in the form of 4p + 3, where p is a whole number, will always be

37.
37. When a number is divided by 7, its remainder is always:

38.
38. (6 + 5 √3) – (4 – 3 √3) is

39.
39. If HCF (16, y) = 8 and LCM (16, y) = 48, then the value of y is

40.
Q40. The HCF of a number which is neither prime nor compositQ40. The HCF of a number which is neither prime nor composite and any other number x is: (a) x (b) x + 1 (c) 1 (d) Any numbere and any other number x is:

41.
41. The number ‘π’ is

42.
42. If LCM (77, 99) = 693, then HCF (77, 99) is

43.
43. Euclid’s division lemma states that for two positive integers a and b, there exist unique integer q and r such that a = bq + r, where r must satisfy

44.
Q44. he HCF of two consecutive rational numbers x and x +1 is :

45.
Q45. Write an irrational number between 2 and 3. Q45. Write an irrational number between 2 and 3.

46.
Q46. Which of the following are irrational whose sum and product are both rationals :

47.
Q47. Find the value of x from the following such that x2 is irrational but x4 is rational:

48.
Q48. If HCF of 55 and 99 is expressible in the form 55 m – 99, then the value of m:

49.
Q49. Given that LCM of (91, 26) = 182 then HCF (91, 26) is

50.
Q50. In a seminar, the number of participants in English, German and Sanskrit are 45,75 and 135. Find the number of rooms required to house them, if in each room, the same number of participants are to be accommodated and they should be of the same language.