Real Numbers MCQs:
Hello guys, welcome to your own blog 'Pareeksha Time'. In this article, you will read CBSE Class 10 Maths MCQs of Chapter 1 of Class 10 Maths NCERT. You will read Real Numbers MCQs for Term-1 Board Exams 2021-22.
Now, Board Exams are divided into two terms; Term-1 & Term-2. In Term-1 Board Exams, only MCQ type questions will be asked.
So you have to practice MCQs of all chapters of your syllabus.
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Real Numbers MCQs |MCQ Questions for Class 10 Maths Chapter 1 with Answers:-
1. The sum of a rational and irrational number is:
(a) Rational
(b) Irrational
(c) Both of above
(d) None of above
Answer: (b) Irrational
2. If b = 3, then any integer can be expressed as a =
(a) 3q, 3q+ 1, 3q + 2
(b) 3q
(c) 3q+ 1
(d) None of above
Answer: (a) 3q, 3q+ 1, 3q + 2
3. If HCF (x, y) = 12 and x × y = 1800 then LCM (x, y) is:
(a) 3600
(b) 900
(c) 150
(d) 90
Answer: (c) 150
4. The decimal expansion of the rational number 
will terminate after:
(a) one decimal place
(b) two decimal places
(c) three decimal places
(d) more than three decimal places
Answer: (b) two decimal places
5. Which number is divisible by 11?
(a) 1516
(b) 1452
(c) 1011
(d) 1121
Answer: (b) 1452
6. The product of three consecutive positive integers is divisible by:
(a) 4
(b) 6
(c) No common factor
(d) Only 1
Answer: (b) 6
7. Which of the following is not irrational?
(a) (3 + √7)
(b) (3 – √7)
(c) (3 + √7) (3 – √7)
(d) 3√7
Answer: (c) (3 + √7) (3 – √7)
8. 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.
(a) 98 kg
(b) 290 kg
(c) 200 kg
(d) 350 kg
Answer: (a) 98 kg
9. A number 10x + y is multiplied by another number 10a + b and the result comes as 100p + 10q +r, where r = 2y, q = 2(x + y) and p = 2x; x, y < 5, q ≠ 0. The value of 10a + b may be:
(a) 11
(b) 13
(c) 31
(d) 22
Answer: (d) 22
10. 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.
(a) 52
(b) 56
(c) 48
(d) 63
Answer: (a) 52
11. The largest number which divides 60 and 75, leaving remainders 8 and 10 respectively, is:
(a) 260
(b) 75
(c) 65
(d) 13
Answer: (d) 13
12. If the HCF of 65 and 117 is expressible in the form 65 m – 117, then the value of m is:
(a) 4
(b) 2
(c) 1
(d) 3
Answer: (b) 2
13. According to the fundamental theorem of arithmetic, if T (a prime number) divides b2, b > 0, then:
(a) T divides b
(b) b divides T
(c) T2 divides b2
(d) b2 divides T2
Answer: (a) T divides b
14. Find the greatest number of 5 digits, that will give us remainder of 5 when divided by 8 and 9 respectively.
(a) 99921
(b) 99931
(c) 99941
(d) 99951
Answer: (c) 99941
15. The LCM of 2.5, 0.5 and 0.175 is:
(a) 2.5
(b) 5
(c) 7.5
(d) 0.875
Answer: (d) 0.875
16. A rational number in its decimal expansion is 327.7081. What would be the prime factors of q when the number is expressed in the p/q form?
(a) 2 and 3
(b) 3 and 5
(c) 2, 3 and 5
(d) 2 and 5
Answer: (d) 2 and 5
17. 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:
(a) a < r < b
(b) 0 < r ≤ b
(c) 1 < r < b
(d) 0 ≤ r < b
Answer: (d) 0 ≤ r < b
18. If set A = {1, 2, 3, 4, 5,…} is given, then it represents:
(a) Whole numbers
(b) Rational Numbers
(c) Natural numbers
(d) Complex numbers
Answer: (c) Natural numbers
19. The decimal expansion of `\frac{441}{2^2\times5^3\times7}` is:
(a) A terminating decimal
(b) Non-terminating but repeating
(c) Non-terminate non repeating
(d) terminating after two places of decimal
Answer: (a) A terminating decimal
20. Pairs of natural numbers whose least common multiple is 78 and the greatest common divisor is 13 are:
(a) 58 and 13 or 16 and 29
(b) 68 and 23 or 36 and 49
(c) 18 and 73 or 56 and 93
(d) 78 and 13 or 26 and 39
Answer: (d) 78 and 13 or 26 and 39
21. 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:
(a) xy2
(b) x4y2z
(c) x4y3
(d) x4y3z
Answer: (a) xy2
22. n² – 1 is divisible by 8, if n is
(a) An integer
(b) A natural number
(c) An odd integer
(d) An even integer
Answer: (c) an odd integer
23. A rational number in its decimal expansion is 327.7081. What would be the prime factors of q when the number is expressed in the p/q form?
(a) 2 and 3
(b) 3 and 5
(c) 2, 3 and 5
(d) 2 and 5
Answer: (d) 2 and 5
24. The values of x and y is the given figure are:
(a) x + 10, y = 14
(b) x = 21, y = 84
(c) x = 21, y = 25
(d) x = 10, y = 40
Answer: (b) x = 21, y = 84
25. Four bells toll together at 9.00 am. They toll after 7, 8, 11 and 12 seconds respectively. How many times will they toll together again in the next 3 hours?
(a) 3
(b) 4
(c) 5
(d) 6
Answer: (c) 5
26. When a number is divided by 7, its remainder is always:
(a) greater than 7
(b) at least 7
(c) less than 7
(d) at most 7
Answer: (c) less than 7
27. There are 576 boys and 448 girls in a school that are to be divided into equal sections of either boys or girls alone. The total number of sections thus formed are:
(a) 22
(b) 16
(c) 36
(d) 21
Answer: (b) 16
28. The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is:
(a) 980
(b) 100
(c) 504
(d) 2520
Answer: (d) 2520
So guys here comes end. In this article, I shared 25+ Real Numbers MCQs of CBSE Class 10 Maths MCQs 2021-22.
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