MCQ Questions for Class 9 Maths: Ch 1 Number Systems
1. 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
► (b) 13/4,14/4,15/4
2. (64)-3/2
(a) -1/512
(b) 1/512
(c) 64
(d) 1/64
► (b) 1/512
3. If x = 2+√3, then x + 1/x =
(a) 5
(b) 4
(c) -4
(d) -5
► (b) 4
4. Every rational number is:
(a) Whole number
(b) Natural number
(c) Integer
(d) Real number
► (d) Real number
5. 3√6 + 4√6 is equal to:
(a) 6√6
(b) 7√6
(c) 4√12
(d) 7√12
► (b) 7√6
6. In between any two numbers there are:
(a) Only one rational number
(b) Many rational numbers
(c) Infinite rational numbers
(d) No rational number
► (c) Infinite rational numbers
7. Can we write 0 in the form of p/q?
(a) Yes
(b) No
(c) Cannot be explained
(d) None of the above
► (a) Yes
8. √6 x √27 is equal to:
(a) 9√2
(b) 3√3
(c) 2√2
(d) 9√3
► (a) 9√2
9. 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
► (c) Always an irrational number
10. Expression of 2.2323… in the form of a/ b is ________.
(a) 221/99
(b) 75/31
(c) 7/99
(d) 223/99
► (a) 221/99
11. 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
► (a) terminating decimal fraction
12. Which of the following lies between 0 and -1?
(a) 0
(b) -3
(c) -2/3
(d) 4/3
► (c) -2/3
13. 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
► (c) 132
14. The rational number between 1 and 2 is
(a) 3/2
(b) 7/2
(c) 5/2
(d) 1/2
► (a) 3/2
15. 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
► (b) 2
16. 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
► (c) 10
17. 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
► Always
► (b) 1/512
3. If x = 2+√3, then x + 1/x =
(a) 5
(b) 4
(c) -4
(d) -5
► (b) 4
4. Every rational number is:
(a) Whole number
(b) Natural number
(c) Integer
(d) Real number
► (d) Real number
5. 3√6 + 4√6 is equal to:
(a) 6√6
(b) 7√6
(c) 4√12
(d) 7√12
► (b) 7√6
6. In between any two numbers there are:
(a) Only one rational number
(b) Many rational numbers
(c) Infinite rational numbers
(d) No rational number
► (c) Infinite rational numbers
7. Can we write 0 in the form of p/q?
(a) Yes
(b) No
(c) Cannot be explained
(d) None of the above
► (a) Yes
8. √6 x √27 is equal to:
(a) 9√2
(b) 3√3
(c) 2√2
(d) 9√3
► (a) 9√2
9. 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
► (c) Always an irrational number
10. Expression of 2.2323… in the form of a/ b is ________.
(a) 221/99
(b) 75/31
(c) 7/99
(d) 223/99
► (a) 221/99
11. 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
► (a) terminating decimal fraction
12. Which of the following lies between 0 and -1?
(a) 0
(b) -3
(c) -2/3
(d) 4/3
► (c) -2/3
13. 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
► (c) 132
14. The rational number between 1 and 2 is
(a) 3/2
(b) 7/2
(c) 5/2
(d) 1/2
► (a) 3/2
15. 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
► (b) 2
16. 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
► (c) 10
17. 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
► Always
18. 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
► (c) n-1
19. 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
► (b) Infinitely many rational number
20. Every real number is
(a) neither rational nor irrational
(b) irrational
(c) rational
(d) either rational or irrational
► (d) either rational or irrational
21. Which of the following is the product of 7/8 and -4/21?
(a) -1/6
(b) 1/12
(c) -16/63
(d) -147/16
► (a) -1/6
22.All the integers are
(a) whole numbers
(b) rational numbers
(c) irrational numbers
(d) natural numbers
► (b) rational numbers
23. Which of the following is a rational number?
(a) π
(b) 0
(c) 1+√3
(d) 2√3
► (b) 0
24. Decimal representation of a rational number cannot be
(a) terminating
(b) always terminating
(c) always non-terminating
(d) non terminating non repeating
► (d) non terminating non repeating