CBSE Class 10 Mathematics Real Numbers MCQs Set A

Practice CBSE Class 10 Mathematics Real Numbers MCQs Set A provided below. The MCQ Questions for Class 10 Chapter 1 Real Numbers Mathematics with answers and follow the latest CBSE/ NCERT and KVS patterns. Refer to more Chapter-wise MCQs for CBSE Class 10 Mathematics and also download more latest study material for all subjects

MCQ for Class 10 Mathematics Chapter 1 Real Numbers

Class 10 Mathematics students should review the 50 questions and answers to strengthen understanding of core concepts in Chapter 1 Real Numbers

Chapter 1 Real Numbers MCQ Questions Class 10 Mathematics with Answers

More Questions:

Question: The product of two consecutive integers is divisible by
a) 2
b) 3
c) 5
d) 7

Answer: 2

Question: The product of three consecutive integers is divisible by
a) 6
b) 7
c) none of these
d) 5

Answer: 6

Question: n2 -1 is divisible by 8, if n is
a) an odd integer
b) an even integer
c) a natural number
d) an integer

Answer: an odd integer

Question: Euclid’s division lemma states that for two positive integers a and b, there exist unique integers q and r such that a = bq + r, where r must satisfy
a) 0 ≤ r < b
b) 0 < r < b
c) 1< r < b
d) None of these

Answer: 0 ≤ r < b

Question: The decimal expansion of the rational number 47/2352 will terminate after
a) three decimal places
b) one decimal place
c) two decimal places
d) more than three decimal places

Answer: three decimal places

Question: √7 is
a) an irrational number
b) none of these
c) an integer
d) rational number

Answer: an irrational number

Question: The decimal expansion of the rational number 33/225 will terminate after
a) two decimal places
b) more than three decimal places
c) one decimal place
d) three decimal places

Answer: two decimal places

Question: The largest number which exactly divides 70, 80, 105, 160 is
a) 5
b) none of these
c) 7
d) 10

Answer: 5

Question: The least number that is divisible by first five even numbers is
a) 120
b) 160
c) 80
d) 60

Answer: 120

Question: HCF of (x3 -3x +2) and (x2 - 4x +3) is
a) (x -1)
b) (x -1)(x -3)
c) (x -1)(x +2)
d) (x -2)3

Answer: (x -1)

Question: LCM of x2 - 4 and x4 -16 is
a) (x2 + 4)(x2 - 4)
b) (x2 - 4) (x +2)
c) (x -2)(x +2)
d) None of these

Answer: (x2 + 4)(x2 - 4)

Question: If n is an even natural number, then the largest natural number by which n(n +1)(n +2) is divisible is
a) 24
b) 6
c) 12
d) 9

Answer: 24

Question: The largest number which divides 318 and 739 leaving remainder 3 and 4 respectively is
a) 105
b) 110
c) 7
d) 35

Answer: 105

Question: When 256 is divided by 17, remainder would be
a) 1
b) 1
c) none of these
d) 16

Answer: 1

Question. A rational number between 3/4 and 4/5 is:
a) 7/5
b) 7/10
c) 3/10
d) 4/10

Question. A rational number between 1/2 and 3/4 is:
a) 2/5
b) 5/8
c) 4/3
d) 1/4

Question. Which one of the following is not a rational number:
a) √2
b) 0
c) √4
d) √-16

Question. Which one of the following is an irrational number:
a) √4
b) 3 √8
c) √100
d) √- 0.64

Question. 3,3/8 in decimal form is:
a) 3.35
b) 3.375
c) 33.75
d) 337.5

Question. 5/6 in the decimal form is: 
cbse-class-10-mathematics-real-numbers-mcqs-set-a

Question. Decimal representation of rational number 8/27 is: 
cbse-class-10-mathematics-real-numbers-mcqs-set-a

Question. 0.6666…….. in p/q form is:
a) 6/99
b) 2/3
c) 3/5
d) 1/66

Question. The value of (√5+√2)(√5-√2) is:
a) 10
b) 7
c) 3
d) √3

Question. 
cbse-class-10-mathematics-real-numbers-mcqs-set-a
a) 6/99
b) 2/3
c) 3/5
d) none of these

More MCQs for Class 10 Mathematics Real Numbers............

Question. Euclid’s division algorithm can be applied to :
(A) only positive integers 
(B) only negative integers
(C) all integers 
(D) all integers except 0
Answer: A
 
Question. If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is :
(A) 1 
(B) 2 
(C) 3 
(D) 4
Answer: B
 
Question. The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is :
(A) 10 
(B) 100 
(C) 504 
(D) 2520
Answer: D
 
Question. 3.24636363... is :
(A) a terminating decimal number 
(B) a non-terminating repeating decimal number
(C) a rational number 
(D) both (B) and (C)
Answer: D
 
Question. The decimal expansion of the rational number 47/22 .52 . will terminate after :
(A) one decimal place 
(B) three decimal places
(C) two decimal places 
(D) more than 3 decimal places
Answer: C
 
Question. Euclid’s division lemma states that if a and b are any two +ve integers, then there exist unique integers q and r such that :
(A) a = bq + r, 0 < r < b 
(B) a = bq + r, 0 ≤ r ≤ b
(C) a = bq + r, 0 ≤ r < b 
(D) a = bq + r, 0 < b < r
(A) 30 
(B) 150 
(C) 100 
(D) 50
Answer: C
 
Question. Which of the following numbers has terminating decimal expansion ?
(A) 37/45 
(B) 21/2356 
(C) 17/49 
(D) 89/2232
Answer: B
 
Question. How many prime factors are there in prime factorisation of 5005 ?
(A) 2 
(B) 4 
(C) 6 
(D) 7
Answer: B
 
Question. If a, b are coprime, then a2, b2 are :
(A) Coprime 
(B) Not coprime 
(C) Odd numbers 
(D) Even numbers
Answer: A

 

Question. √5 - 3- 2 is
(a) a rational number
(b) a natural number
(c) equal to zero
(d) an irrational number

Question. Let x = 7/20x25 be a rational number. Then x has decimal expansion, which terminates:
(a) after four places of decimal
(b) after three places of decimal
(c) after two places of decimal
(d) after five places of decimal

Question. The decimal expansion of 63/72x175 is
(a) terminating
(b) non-terminating
(c) non termination and repeating
(d) an irrational number

Question. If HCF and LCM of two numbers are 4 and 9696, then the product of the two numbers is:
(a) 9696
(b) 24242
(c) 38784
(d) 4848

Question. (2+√3+√5) is :
(a) a rational number
(b) a natural number
(c) a integer number
(d) an irrational number

Question. If (9/7)3 x (49/81)2x-6 = (7/9)9 , the value of x is:
(a) 12
(b) 9
(c) 8
(d) 6

Question. The number .211 2111 21111….. is a
(a) terminating decimal
(b) non-terminating decimal
(c) non termination and non-repeating decimal
(d) none of these

Question. If (m)n =32 where m and n are positive integers, then the value of (n)mn is:
(a) 32
(b) 25
(c) 510
(d) 525

Question. 
cbse-class-10-mathematics-real-numbers-mcqs-set-b
(a) 19/35
(b) 57/99
(c) 57/95
(d) 19/30

Question. 
cbse-class-10-mathematics-real-numbers-mcqs-set-b
(a) 26/45
(b) 13/27
(c) 57/99
(d) 13/29

Question. Any one of the numbers a, a + 2 and a + 4 is a multiple of:
(a) 2
(b) 3
(c) 5
(d) 7

Question. If p is a prime number and p divides k2, then p divides:
(a) 2k2
(b) k
(c) 3k
(d) none of these

Question : 7×11×13× 6 is:
a) a prime number
b) a composite number
c) an even number
d) None
Answer : B

Question : If pn=(a×5)n   , for pn to end with the digit zero a= _______ for any natural number n:
a) any natural number
b) an odd number
c) any even number
d) None
Answer : C
 
Question : HCF is always:
a) multiple of LCM
b) factor of LCM
c) divisible by LCM
d) Option a and c both
Answer : B
 
Question : In Euclid’s division lemma where a = bq + r and a, b are positive integers, which one is correct:
a) 0 < r ≤ b
b) 0 ≤ r < b
c) 0 < r < b
d) 0 ≤ r ≤ b
Answer : B
 
Question : If p is a positive rational number which is not a perfect square then, -3 √p is:
a) an integer
b) rational number
c) irrational number
d) Option a) and c) both
Answer : C
 
Question : 2 - √5 is:
a) a rational number
b) a natural number
c) equal to zero
d) an irrational number
Answer : D
 
Question : The number given below which always ends with the digit 6 for all natural nos. n is:
a) 4n
b) 2n
c) 6n
d) 8n
Answer : C
 
Question : (√2 -√5) (√5 +√2) is:
a) a rational number
b) a natural number
c) equal to zero
d) an irrational number
Answer : A
 
Question : 2.35 is:
a) an integer
b) a rational number
c) an irrational no.
d) None of these
Answer : B
 
Question : Which one is not a natural number:
a) 25
b) 121
c) √100
d) √7
Answer : D
 
Question : (3 √5 – 7 √3)2 is equal to:
a) (2115 –√192)
b) (21√15–192)
c) (192+21√15)
d) (192 – 42√15)
Answer : D
 
Question : Which number is natural?
a) –8
b) 2
c) 0
d) 1/2
Answer : B
 
Question : Zero is:
a) natural no.
b) whole no.
c) non divisible no.
d) divisible no.
Answer : B
 
Question : Which of the following is a rational number having terminating decimal expansion:
a) 36/100
b) 41/8
c)329/400
d) All these
Answer : B
 
Question : Which one of the following statement is true?
a) Every natural number is a whole number
b) Every integer is a whole number
c) Every rational number is a whole number
d) None of these
Answer : A
 
Question : 6 √5 × 2 √5 is equal to:
a) 70
b) 50
c) 60
d) 55
Answer : C
 
Question : LCM of 25, 35 and 105 is:
a) 555
b) 565
c) 575
d) None of these 
Answer : D
 
Question : Let x = 7/ 22 × 53  be a rational number. Then x has decimal expansion which terminates:
a) after four places of decimals 
b) after three places of decimals 
c) after two places of decimals 
d) after five places of decimals 
Answer : B
 
Question : The decimal expansion of 63 / 72 × 175 is:
a) terminating 
b) non-terminating
c) non-terminating and repeating
d) none of these.
Answer : A
 
Question : Let a, b and c be real numbers, such that a -7b+8c = 4and 8a + 4b - c = 7, then the value of a2 - b2 +c2 =.....
a) -1
b) 4
c) -2
d) 1
Answer : D

Question : If a < b < c < d < e are consecutive positive integers, such that b + c+ d is a perfect square and a +b + c + d + e is a perfect cube. What is the smallest possible value of c?
a) 675
b) 576
c) 475
d) 384
Answer : A

Question : If we divide a two-digit number by the sum of its digits we get 4 as quotient and 3 as remainder.
Now if we divide that two digit number by the product of its digits, we get 3 as quotient and 5 as remainder. The two digit number is:

a) Even
b) Odd prime
c) Odd composite
d) Odd
Answer : B

Question : Four positive integers sum to 125. If the first of these numbers is increased by 4, the second is decreased by 4, the third is multiplied by 4 and the fourth is divided by 4, we find four equal numbers, then four original integers are:
a) 16, 24, 5, 80
b) 8, 22, 38, 57
c) 7, 19, 46, 53
d) 12, 28, 40, 45
Answer : A

Question : What is the least number which when divided by 42, 72 and 84 leaves the remainder 25, 55 and 67 respectively?
a) 521
b) 512
c) 504
d) 487
Answer : D

Question : y, z are integers, then the value of x + y - z is:
a) 6
b) 8
c) 7
d) -2
Answer : C

Question : A positive integer n has 60 divisors and 7 n has 80 divisors. What is the greatest integer k such that 7k divides n?
a) 0
b) 1
c) 2
d) 3
Answer : D

Question : What is the largest integer that is a divisor of (n +1) (n+3) (n+5) (n+7) (n+9) for all positive even integers n?
a) 3
b) 5
c) 11
d) 15
Answer : B

Question : The sum of 18 consecutive positive integers is a perfect square. The smallest possible value of this sum is…
a) 169
b) 225
c) 289
d) 361
Answer : B

Question : When the decimal point of a certain positive decimal number is moved two places to the right, the new number is two times the sum of the original number and the reciprocal of the original number. The product of 42 and the original number is:
a) 3
b) 6
c) 7
d) 14
Answer : C

Question : The sum of seven consecutive natural numbers is 1617. How many of these are prime?
a) 4
b) 5
c) 2
d) 7
Answer : A

Question : A number when divided by 342 gives a remainder 47. When the same number is divided by 19, what would be the remainder?
(A 9
b) 8
c) 18
d) 11
Answer : C

Question : If xyz + xy + xz + yz + x + y + z = 384where x, y, z are positive integers, then the value of x + y + z is:
a) 23
b) 18
c) 20
d) 35
Answer : A

Question : Let x be the greatest number by which if we divide 366, 513 and 324, then in each case the remainder is the same. The sum of digit of x is:
a) 3
b) 4
c) 5
d) 7
Answer : B

Question : If a number m is divided by 5 leaves a remainder 2, while another number n is divided by 5 leaves a remainder 4, then the remainder when (m + n) is divided by 5 is:
a) 1
b) 2
c) 3
d) 4
Answer : B

Question : Among the numbers 2250 3200 4150 5100 2 ,3 ,4 and 5 the greatest is
a) 2 250
b) 3 200
c) 4 150
d) 5 100
Answer : A

Question : The sum of the digit in (104n2+8 +1)2 , , where ‘n’ is a positive integer, is……….
a) 4
b) 4n
c) 2+2n
d) 4n2
Answer : C

Question : The ascending order of √2 34, 46 is:
a)  2, 34, 46
b)  2, 46, 34
c) 32, 46
d) 46, 34, 2
Answer : B

MCQs for Chapter 1 Real Numbers Mathematics Class 10

Students can use these MCQs for Chapter 1 Real Numbers to quickly test their knowledge of the chapter. These multiple-choice questions have been designed as per the latest syllabus for Class 10 Mathematics released by CBSE. Our expert teachers suggest that you should practice daily and solving these objective questions of Chapter 1 Real Numbers to understand the important concepts and better marks in your school tests.

Chapter 1 Real Numbers NCERT Based Objective Questions

Our expert teachers have designed these Mathematics MCQs based on the official NCERT book for Class 10. We have identified all questions from the most important topics that are always asked in exams. After solving these, please compare your choices with our provided answers. For better understanding of Chapter 1 Real Numbers, you should also refer to our NCERT solutions for Class 10 Mathematics created by our team.

Online Practice and Revision for Chapter 1 Real Numbers Mathematics

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Where can I access latest CBSE Class 10 Mathematics Real Numbers MCQs Set A?

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Are Assertion-Reasoning and Case-Study MCQs included in the Mathematics Class 10 material?

Yes, our CBSE Class 10 Mathematics Real Numbers MCQs Set A include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the CBSE paper is now competency-based.

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By solving our CBSE Class 10 Mathematics Real Numbers MCQs Set A, Class 10 students can improve their accuracy and speed which is important as objective questions provide a chance to secure 100% marks in the Mathematics.

Do you provide answers and explanations for CBSE Class 10 Mathematics Real Numbers MCQs Set A?

Yes, Mathematics MCQs for Class 10 have answer key and brief explanations to help students understand logic behind the correct option as its important for 2026 competency-focused CBSE exams.

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