NCERT class 9 Mathematics MCQ (1)

Class 9 Mathematics MCQ Number System

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NCERT Class 9 Mathematics MCQ Number System with Answers

Question :Which of the following is the product of 78 and 421?
(a) 16
(b) 112
(c) 1663
(d) 14716

Show Answer :

Answer : (a) 16

Question :The decimal fraction in which there are finite number of digits in its decimal part is called
(a) terminating decimal fraction
(b) non-terminating decimal fraction
(c) linear fraction
(d) quadratic fraction

Show Answer :

Answer : (a) terminating decimal fraction

Question :The product of a rational and an irrational numbers is:
(a) Always an integer
(b) Always a rational number
(c) Always an irrational number
(d) Sometimes rational and sometimes irrational

Show Answer :

Answer : (c) Always an irrational number

Question :In between two rational number there is/are:
(a) Exactly one rational number
(b) Infinitely many rational number
(c) Many irrational numbers
(d) Only irrational numbers

Show Answer :

Answer : (b) Infinitely many rational number

Question :The product of a rational and an irrational numbers is:
(a) Always an integer
(b) Always a rational number
(c) Always an irrational number
(d) Sometimes rational and sometimes irrational

Show Answer :

Answer : (c) Always an irrational number

Question :If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is
(a) 4
(b) 2
(c) 1
(d) 3

Show Answer :

Answer : (b) 2

Question :Which of the following is a rational number?
(a) π
(b) 0
(c) 1+√3
(d) 2√3

Show Answer :

Answer : (b) 0

Question :The HCF and LCM of two numbers are 33 and 264 respectively. When the first number is completely divided by 2 the quotient is 33. The other number is:
(a) 66
(b) 130
(c) 132
(d) 196

Show Answer :

Answer : (c) 132

Question :Can we write 0 in the form of pq?
(a) Yes
(b) No
(c) Cannot be explained
(d) None of the above

Show Answer :

Answer : (a) Yes

Question :3√6 + 4√6 is equal to:
(a) 6√6
(b) 7√6
(c) 4√12
(d) 7√12

Show Answer :

Answer : (b) 7√6

Question :How many zeros after the decimal point will be there in the decimal form of the number 10-n ?
(a) n
(b) n+1
(c) n-1
(d) n2

Show Answer :

Answer : (c) n-1

Question : The three rational numbers between 3 and 4 are:
(a) 5/2,6/2,7/2
(b) 13/4,14/4,15/4
(c) 12/7,13/7,14/7
(d) 11/4,12/4,13/4

Show Answer :

Answer :(b) 13/4,14/4,15/4

Question : When 15√15 is divided by 3√3 find the quotient.
(a) 5√3
(b) 3√5
(c) 5√5
(d) 3√3

Show Answer :

Answer :(c) 5√5

Question : (64)-3/2
(a) -1/512
(b) 1/512
(c) 64
(d) 1/64

Show Answer :

Answer :(b) 1/512

Question : Find the remainder when 6799 is divided bt 7
(a) 1
(b) 6
(c) 4
(d) 2

Show Answer :

Answer :(a) 1

Question : The Value of 4√3−4/√3+1 − 2−√3/ 2+√3
(a) 1
(b) 15
(c) 0
(d) None of these

Show Answer :

Answer :(a) 1

Question : From the choices given below mark the co-prime numbers
(a) 2, 3
(b) 2, 4
(c) 2, 6
(d) 2, 110

Show Answer :

Answer :(a) 2, 3

Question :A forester wants to plant 44 apples tree, 66 banana trees and 110 mango trees in equal rows (in terms of number of trees). Also, he wants to make distinct rows of tree (i.e. only one type of tree in one row). The number of rows (minimum) that required is:
(a) 2
(b) 3
(c) 10
(d) 11

Show Answer :

Answer : (c) 10

Question :The rational number between 1 and 2 is
(a) 32
(b) 72
(c) 52
(d) 12

Show Answer :

Answer : (a) 32

Question :Which of the following lies between 0 and -1?
(a) 0
(b) -3
(c) 23
(d) 43

Show Answer :

Answer : (c) 23

Question :Expression of 2.2323… in the form of ab is ________.
(a) 22199
(b) 7531
(c) 799
(d) 22399

Show Answer :

Answer : (a) 22199

Question :√6 × √27 is equal to:
(a) 9√2
(b) 3√3
(c) 2√2
(d) 9√3

Show Answer :

Answer : (a) 9√2

Question : Which of the following numbers have terminating decimal expansion?
(a) 8/225
(b) 5/18
(c)11/21
(d) 21/21150

Show Answer :

Answer 😀

Question : The descending order of the surds 3√2,6√3,9√4 is __.
(a) 9√4,6√3,3√2
(b) 9√4,3√2,6√3
(c) 3√2,6√3,9√4
(d) 6√3,9√4,3√2

Show Answer :

Answer :C

Question :The product of two consecutive natural numbers is always _.
(a) An even number
(b) An odd number
(c) A prime number
(d) Divisible by 3

Show Answer :

Answer :A

Question : The value of

MCQ-Number-System-02-The-Value-of

(A) 0
(b) 1
(c) 2
(d) 4

Show Answer :

Answer :C

Question :The 100th root of 10(1010 ) is __.
(a) 10810
(b) 10108
(c) (√10)(√10)10
(c) 10(√10)√10

Show Answer :

Answer :A

Question :The value of

MCQ-Number-System-03-The-Value-of

Show Answer :

Answer :C

Question : A positive integer n when divided by 9, gives 7 as remainder. What will be the remainder when (3n – 1) is divided by 9?
(a) 1
(b) 2
(c) 3
(d) 4

Show Answer :

Answer :B

Question : The fraction

Mathematics-MCQ-Number-System-04-The-fraction

Show Answer :

Answer 😀

Question : 1.224 can be expressed as a fraction in simplest form as __.
(a) 450/551
(b) 1224/1000
(c) 551/450
(d) 1000/1224

Show Answer :

Answer :C

Question : Given that H.C.F. (306, 954, 1314) = 18, find L.C.M. (306, 954, 1314).
(a) 1183234
(b) 1123238
(c) 1183914
(d) 1123328

Show Answer :

Answer :C

Question : If ‘a’ and ‘b’ are rational numbers and 2+√3 / 2-√3 = a+b√3 then (a + b)2 = ……………..
(a) 121
(b) 171
(c) 116
(d) 198

Show Answer :

Answer :A

Question :The rationalising factor of 7√x3y5z2 is __.
(a) 7√z5y2x4
(b) 4√x3y2z
(c) √x4y2z5
(d) 3√y2x4z3

Show Answer :

Answer :B

Question :Which of the following is an irrational number?
(a) π
(b) 22/7
(c) Both (A) and (B)
(d) Neither (A) nor (B)

Show Answer :

Answer 😀

Question : A real number

Class-9-Mathematics-MCQ-Number-System-05-A-real-Number

(A) Terminating decimal expansion
(b) Non-terminating decimal expansion
(c) Repeating decimal expansion
(d) Both (B) and (C)

Show Answer :

Answer :A

Question : According to the Fundamental Theorem of Arithmetic, if p (a prime number) divides b2 and b is positive, then __.
(a) b divides p
(b) b2 divides p
(c) p divides b
(d) None of these

Show Answer :

Answer :A

Question : In a seminar the number of participants in Mathematics, Physics and Biology are 192, 240 and 168. Find the minimum number of rooms required if in each room same number of participants is to be seated and all of them being in the same subject.
(a) 20
(b) 25
(c) 28
(d) 30

Show Answer :

Answer 😀

Question : Sam, Advik and Trishu go for a morning walk. They step off together and their steps measure 35 cm, 32 cm and 40 cm, respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps?
(a) 1109
(b) 1102
(c) 1100
(d) 1120

Show Answer :

Answer :C

Question : A boy was asked to multiply a given number by (8/17). Instead, he divided the given number by (8/17) and got the result 225 more than what he should have got if he had multiplied the number by (8/17). The given number was ________.
(a) 8
(b) 17
(c) 64

Show Answer :

Answer :B

Question : Four different electronic devices make a beep after every 30 minutes, 1 hour,1 X 1 / 2 hour and 1 hour 45 minutes respectively. All the devices beeped together at 12 noon. They will again beep together at ________.
(a) 12 midnight
(b) 3 a.m.
(c) 6 a.m.
(d) 9 a.m.
(d) 136

Show Answer :

Answer 😀

Question : A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in  the answer both 9s are wrong and the other digits are correct, then the correct answer would be ________.
(a) 553681
(b) 555181
(c) 555681
(d) 556581

Show Answer :

Answer :C

Question : A boy was asked to multiply a given number by (8/17). Instead, he divided the given number by (8/17) and got the result 225 more than what he should have got if he had multiplied the number by (8/17). The given number was ________.
(a) 8
(b) 17
(c) 64

Show Answer :

Answer 😀

Question : Four different electronic devices make a beep after every 30 minutes, 1 hour,1 X 1 / 2 hour and 1 hour 45 minutes respectively. All the devices beeped together at 12 noon. They will again beep together at ________.
(a) 12 midnight
(b) 3 a.m.
(c) 6 a.m.
(d) 9 a.m.
(d) 136

Show Answer :

Answer 😀

Question : Which of the following statements is INCORRECT?
(a) For natural numbers a and b, if a divides b2 then a divides b.
(b) For any natural number n, √n −1 + √n +1 is irrational.
(c) Product of distinct prime numbers is always equal to their L.C.M.
(d) For any natural number n, 6n never ends with digit zero.

Show Answer :

Answer :A

Question : The three rational numbers between 3 and 4 are:
(a) 5/2, 6/2, 7/2
(b) 13/4, 14/4, 15/4
(c) 12/7, 13/7, 14/7
(d)11/4, 12/4, 13/4

Show Answer :

Answer : b
Explanation: There are many rational numbers between 3 and 4
To find 3 rational numbers, we need to multiply and divide both the numbers by 3+1 = 4
Hence, 3 x (4/4) = 12/4 and 4 x (4/4) = 16/4
Thus, three rational numbers between 12/4 and 16/4 are 13/4, 14/4 and 15/4.

Question : 3√6 + 4√6 is equal to:
(a) 6√6
(b) 7√6
(c) 4√12
(d) 7√12

Show Answer :

Answer : b
Explanation: 3√6 + 4√6 = (3 + 4)√6 = 7√6

Question : √6 x √27 is equal to:
(a) 9√2
(b) 3√3
(c) 2√2
(d) 9√3

Show Answer :

Answer : a
Explanation:

6×27=2×3×3×3×3

= (3 × 3)√2
= 9√2

Question : Which of the following is equal to x3?
(a) x– x3
(b) x6.x3
(c) x6/x3
(d) (x6)3

Show Answer :

Answer : c
Explanation: x6/x3 = x6 – 3 = x3

Question :) Which of the following is an irrational number?
(a) √23
(b) √225
(c) 0.3796
(d) 7.478478

Show Answer :

Answer : a
Explanation: √23 = 4.79583152331…
Since the decimal expansion of the number is non-terminating non-recurring. Hence, it is an irrational number.
But, √225 = 15, 0.3796 and 7.478478 are terminating.

Question : Which of the following is an irrational number?
(a) 0.14

b. 0.1416¯
c. 0.1416

d. 0.4014001400014…

Show Answer :

Answer : d
Explanation: 0.4014001400014…is an irrational number as it is non-terminating and non-repeating.

Question : In between any two numbers, there are:
(a) Only one rational number
(b) Two rational numbers
(c) Infinite rational numbers
(d) No rational number

Show Answer :

Answer : c
Explanation: Take the reference from question number 2 explained above.

Question : Every rational number is:
(a) Whole number
(b) Natural number
(c) Integer
(d) Real number

Show Answer :

Answer : d
Explanation: Real number consist of all the rational and irrational numbers. A rational number is a number that is represented in the form of P/Q, where Q is not equal to zero and both P and Q are integers. For example, 1/2 is a rational number, but not a whole number, a natural number or an integer.

Question : √9 is  __________ number.
(a) A rational
(b) An irrational
(c) Neither rational nor irrational
(d) None of the above

Show Answer :

Answer : a
Explanation: √9 = 3
Hence, √9 is a rational number.

Question : Which of the following is an irrational number?
(a) √16
(b) √(12/3)
(c) √12
(d) √100

Show Answer :

Answer : c
Hence, √12 cannot be simplified to a rational number.

Question : 2√3+√3 = 
(a) 6
(b) 2√6
(c) 3√3
(d) 4√6

Show Answer :

Answer :  c
Explanation: 2√3+√3 = (2+1)√3= 3√3.

Question : The number obtained on rationalising the denominator of 1/ (√7 – 2) is
(a) (√7+2)/3
(b) (√7-2)/3
(c) (√7+2)/5
(d) (√7+2)/45

Show Answer :

Answer : a
Explanation:

172=172×7+27+2=7+2(7)2(2)2=7+23

Question : Which of the following is rational?
(a) 4/0
(b) 0/4
(c) √3
(d) π

Show Answer :

Answer : b
Explanation: 0/4 is a rational number that is equal to 0. Whereas π and √3 are irrational numbers and 4/0 is undefined.

Question : The irrational number between 2 and 2.5 is 
(a) √11
(b) √5
(c) √22.5
(d) √12.5

Show Answer :

Answer : b
Explanation: The irrational number between 2 and 2.5 is √5 because the approximate value of √5 is 2. 23606…

Question : The value of √10 times √15 is equal to
(a) 5√6
(b) √25
(c) 10√5
(d) √5

Show Answer :

Answer : a
Explanation: √10
×√15 =(√2.√5)×(√3. √5) = (√5 × √5) (√2 × √3) =  5√6.

Question : The decimal representation of the rational number is
(a) Always terminating
(b) Either terminating or repeating
(c) Either terminating or non-repeating
(d) Neither terminating nor repeating

Show Answer :

Answer : b
Explanation: As per the definition of rational number, its decimal representation is either terminating or repeating.

Question : Which of the following is a rational number?
(a) 0
(b) 2√3
(c) 2+√3
(d) π

Show Answer :

Answer : a
Explanation: 0 is a rational number, and it can be written as 0/1 or 0/2 or 0/3 etc. Whereas 2√3, 2+√3, and π are irrational numbers.

Question : Which of the following is an irrational number?
(a) √(4/9)
(b) √12/√3
(c) √7
(d) √81

Show Answer :

Answer : c
Explanation:
√7 is an irrational number. Because other options given are simplified into a rational number.

49=23
123=123=4=2

√81 = 9

Question :If x = 2+√3, then x + 1x =
(a) 5
(b) 4
(c) -4
(d) -5

Show Answer :

Answer : (b) 4

Question :The three rational numbers between 3 and 4 are:
(a) 52, 62, 72
(b) 134, 144, 154
(c) 127, 137, 147
(d) 114, 124, 134

Show Answer :

Answer : (b) 134, 144, 154

Question :Decimal representation of a rational number cannot be
(a) terminating
(b) always terminating
(c) always non-terminating
(d) non terminating non repeating

Show Answer :

Answer : (d) non terminating non repeating

Question :All the integers are
(a) whole numbers
(b) rational numbers
(c) irrational numbers
(d) natural numbers

Show Answer :

Answer : (b) rational numbers

Question :Every real number is
(a) neither rational nor irrational
(b) irrational
(c) rational
(d) either rational or irrational

Show Answer :

Answer : (d) either rational or irrational

Question :In between any two numbers there are:
(a) Only one rational number
(b) Many rational numbers
(c) Infinite rational numbers
(d) No rational number

Show Answer :

Answer : (c) Infinite rational numbers

Question :Every rational number is:
(a) Whole number
(b) Natural number
(c) Integer
(d) Real number

Show Answer :

Answer : (d) Real number

Question :(64)32
(a) 1512
(b) 1512
(c) 64
(d) 164

Show Answer :

Answer : (a) 1512

Question : The product of a rational and an irrational numbers is:
(a) Always an integer
(b) Always a rational number
(c) Always an irrational number
(d) Sometimes rational and sometimes irrational

Show Answer :

Answer :(c) Always an irrational number

Question : Which of the following is Natural number?
(a) 3.5
(b) 7
(c) 0
(d) -2

Show Answer :

Answer :(b) 7

Question : Which of the following is an irrational number?
(a) √16
(b) √(12/3)
(c) √12
(d) √100

Show Answer :

Answer :(c) √12

Question : (√a + √(ii) (√a – √(ii) is
(a) a + b
(b) a – b
(c) 2√a
(d) 2√b

Show Answer :

Answer :(b) a – b

Question : √6 x √27 is equal to:
(a) 9√2
(b) 3√3
(c) 2√2
(d) 9√3

Show Answer :

Answer :(a) 9√2

Question : The value of 491/2 is equal to
(a) 1/49
(b) 49
(c) 7
(d) 1/7

Show Answer :

Answer :(c) 7

Question : The value of (67.542)² −(32.458)² /75.458 − 40.374 is
(a) 100
(b) 1
(c) 10
(d) none

Show Answer :

Answer :(a) 100

Question : If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is
(a) 4
(b) 2
(c) 1
(d) 3

Show Answer :

Answer :(b) 7

Question : In between any two numbers there are:
(a) Only one rational number
(b) Many rational numbers
(c) Infinite rational numbers
(d) No rational number

Show Answer :

Answer :(c) Infinite rational numbers

Question : The decimal expansion of √2 is

(а) finite decimal
(b) 1.4121
(c) non-terminating recurring
(d) non-terminating non-recurring

Show Answer :

Answer :(d) non-terminating non-recurring

Question : In between any two numbers there are:
(a) Only one rational number
(b) Many rational numbers
(c) Infinite rational numbers
(d) No rational number
(iii) Infinite rational numbers

Show Answer :

Answer :Above

Question : The rational number between 1 and 2 is
(a) 3/2
(b) 7/2
(c) 5/2
(d) 1/2

Show Answer :

Answer :(a) 3/2

Question : If x/y= 6/5 then x² + y² / x² − y²
(a) 36/25
(b) 25/36
(c) 61/11
(d) 11/61

Show Answer :

Answer :(a) 36/25

Question : The product of a rational and an irrational numbers is:
(a) Always an integer
(b) Always a rational number
(c) Always an irrational number
(d) Sometimes rational and sometimes irrational

Show Answer :

Answer :(c) Always an irrational number

Question : (-7+4√7-3√7) is
(a) a positive rational number
(b) an irrational number
(c) a negative rational number
(d) equal to zero

Show Answer :

Answer :(b) an irrational number

Question : 3√6 + 4√6 is equal to:
(a) 6√6
(b) 7√6
(c) 4√12
(d) 7√12

Show Answer :

Answer :(b) 7√6

Question : √6 x √27 is equal to:
(a) 9√2
(b) 3√3
(c) 2√2
(d) 9√3

Show Answer :

Answer :(a) 9√2

Question : If x1/12 = 491/24 then find the value of x.
(a) 49
(b) 2
(c) 12
(d) 7

Show Answer :

Answer :(d) 7

Question : Match the following.

Class 9 MCQ Number System match the column

(A) (P) → (iii); (Q) → (iv); (R) → (i); (S) → (ii)
(b) (P) → (iv); (Q) → (i); (R) → (ii); (S) → (iii)
(c) (P) → (iii); (Q) → (i); (R) → (iv); (S) → (ii)
(d) (P) → (i); (Q) → (iii); (R) → (iv); (S) → (ii)

Show Answer :

Answer :C

Question : A charitable trust donates 28 different books of Maths, 16 different books of Science and 12 different books of Social is given maximum number of books of only one subject of their interest and each student got equal number of books.
(a) Find the number of books each student got.
(b) Find the total number of students who got books.
     (a)   (b)
(a) 4    14
(b) 3    10
(c) 4    10
(d) 3    15

Show Answer :

Answer :A

Question : Read the statements carefully and state ‘T’ for true and ‘F’ for false.
(i) 501/25 is a terminating decimal.
(b) 621/125 is a non-terminating decimal.
(c) 6805/27 × 52 is a non-terminating decimal.
(d) 7105/7 × 52 is a terminating decimal.
         (i)    (ii)   (iii)   (iv)
(a)    F       T       T       F
(b)    T       F       T       T
(c)    T       T       F       F
(d)    F       T       F       T

Show Answer :

Answer :B

Question : Can we write 0 in the form of p/q?
(a) Yes
(b) No
(c) Cannot be explained
(d) None of the above

Show Answer :

Answer : a
Explanation: 0 is a rational number and hence it can be written in the form of p/q.
Example: 0/4 = 0

Question : Which of the following lies between 0 and -1?
(a) 0
(b) -3
(c) -2/3
(d) 4/3

Show Answer :

Answer :(c) -2/3

Question : Which of the following statement is true
(a) x° = 1/x
(b) x° = x
(c) x° = 0
(d) x° = 1

Show Answer :

Answer :(d) x° = 1

Question : The sum of the powers of the prime factors in 108 × 192 is
(a) 12
(b) 7
(c) 5
(d) 8

Show Answer :

Answer :(a) 12

Question : Decimal representation of a rational number cannot be
(a) terminating
(b) always terminating
(c) always non-terminating
(d) non terminating non repeating

Show Answer :

Answer :(d) non terminating non repeating

Question : Which of the following are irrational numbers?
(a) √23
(b) √225
(c) 0.3796
(d) 7.478478

Show Answer :

Answer :(a) √23

Question : How many zeros after the decimal point will be there in the decimal form of the number 10-n ?
(a) n
(b) n+1
(c) n-1
(d) n/2

Show Answer :

Answer :(c) n-1

CBSE Class 9 Science MCQ Improvement in Food Resources with Answers
Number System : Exercise – 1.1Polynomials : Exercise – 2.1
Number System : Exercise – 1.2Polynomials : Exercise – 2.2
Number System : Exercise – 1.3Polynomials : Exercise – 2.3
Number System : Exercise – 1.4Coordinate Geometry : Exercise – 3.1
Number System : Exercise – 1.5Coordinate Geometry : Exercise – 3.2
Number System : Exercise – 1.6Coordinate Geometry : Exercise – 3.3
Linear Equations in Two Variables : Exercise – 4.1Introduction to Euclid’s Geometry :  Exercise – 5.1
Linear Equations in Two Variables : Exercise – 4.2Introduction to Euclid’s Geometry : Exercise – 5.2
Linear Equations in Two Variables : Exercise – 4.3Introduction to Euclid’s Geometry : Exercise – 5.3
Linear Equations in Two Variables : Exercise – 4,4Lines And Angles : Exercise – 6.1
Triangles : Exercise – 7.1Lines And Angles : Exercise – 6.2
Triangles : Exercise – 7.2Lines And Angles : Exercise – 6.3
Triangles : Exercise – 7.3Quadrilaterals : Exercise – 8.1
Triangles : Exercise – 7.4Areas of Parallelograms and Triangles : Exercise – 9.1
Triangles : Exercise – 7.5Areas of Parallelograms and Triangles : Exercise – 9.2
Circles : Exercise – 10.1Areas of Parallelograms and Triangles : Exercise – 9.3
Circles : Exercise – 10.2Areas of Parallelograms and Triangles : Exercise – 9.4
Circles : Exercise – 10.3Constructions : Exercise – 11.1
Circles : Exercise – 10.4Constructions : Exercise – 11.2
Circles : Exercise – 10.5Heron’s Formula : Exercise – 12.1
Circles : Exercise – 10.6Heron’s Formula : Exercise – 12.2
Surface Areas and Volumes : Exercise – 13.1Statistics : Exercise – 14.1
Surface Areas and Volumes : Exercise – 13.2Statistics : Exercise – 14.2
Surface Areas and Volumes : Exercise – 13.3Statistics : Exercise – 14.3
Surface Areas and Volumes : Exercise – 13.4Statistics : Exercise – 14.4
Surface Areas and Volumes : Exercise – 13.5Probability : Exercise – 15.1
Surface Areas and Volumes : Exercise – 13.6
Surface Areas and Volumes : Exercise – 13.7
Surface Areas and Volumes : Exercise – 13.8
Surface Areas and Volumes : Exercise – 13.9
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