NUMBER SYSTEMS NCERT 9 MATHEMATICS TEXTBOOK MCQ (Multiple Choice Questions)

Q1. Between 3 and 4 there are _____.

1. 500 rational numbers
2. 1000 rational numbers
3. 10,000 rational numbers
4. Infinitely many rational numbers

Q2. The ratio of the circumference of a circle to the diameter of the circle is

1. an irrational number
2. a rational number
3. an integer
4. a whole number

Q3. The ratio of the circumference of a circle to the diameter of the circle is

1. an irrational number
2. a rational number
3. an integer
4. a whole number

Q4. Which of the following is true about real numbers?

1. All real numbers are rational numbers            
2. All real numbers are irrational numbers
3. Rational and irrational numbers together constitute real numbers.
4. Some rational numbers are real numbers

Q5. Between 3 and 4 there are

1. 500 rational numbers
2. 1000 rational numbers
3. 10,000 rational numbers
4. Infinitely many rational numbers

Q6. The product or quotient of a non-zero rational number with an irrational number is:

1. Irrational number
2. Rational number
3. Whole number
4. Natural number

Q7. How many rational numbers can you find between 5 and 6?

1. 5
2. infinite
3. 6
4. 1

Q8. 2.142678 is a ………

1. Rational number
2. Irrational number
3. Whole number
4. Natural number

Q9. Which of the following statement about real numbers is false ?

1. Closed with respect to operation of algebra
2. Closed with respect to commutative law of addition
3. Distributive law of multiplication with respect to addition
4. Associative law of multiplication

Q10. To represent 9.3234 which of the following method would be used.

1. By the process of successive magnification
2. By using Pythagoras theorem (Geometrical construction)
3. By constructing equal arcs
4. By using square identities

Q11. Express 1.657 in the form of a fraction

1. 1657/10
2. 1657
3. 1657/1000
4. 1657/100

Q12. Express 0.73 in the form of a fraction

1. 73/10
2. 100/73
3. 1/73
4. 73/100

Q13. Insert one rational number between 2 and 3.

1.   ( 2-3)/2  
2.   ( 2+3)/2     
3.   (2 x 3)/2.  
4.   2 x 2 + 3 x 3  

Q14. Which of the following statement about real numbers is false ?

1. Closed with respect to operation of algebra
2. Closed with respect to commutative law of addition
3. Distributive law of multiplication with respect to addition
4. Associative law of multiplication

Q15. For a number to be a rational number, the denominator must be

1. any real number  
2. Any  whole number    
3. Non –zero integer    
4. A positive integer

Q16. A number is said to be an irrational number if its decimal form is

1. repeating
2. terminating
3. non terminating non repeating
4. non terminating repeating

Q17. A number is irrational if and only if its decimal representation is:

1. non- terminating
2. non- terminating and repeating
3. non- terminating and non-repeating
4. Terminating

Q18. Which of the following statement is true?

1. Every real number is an irrational number.
2. Every real number is a rational number.
3. The real number line contains both rational as well as irrational numbers.
4. Half the numbers on the number line are rational and the remaining half irrational

Q19. The decimal expansions that correspond to rational numbers is ____.

1. Terminating
2. Recurring
3. Either terminating or recurring
4. Both terminating and recurring

Q20. The decimal expansion  0.080080008000080000080000008…….  is a

1. non-terminating ,non-recurring
2. non-terminating ,recurring
3. terminating ,non-recurring
4. terminating ,recurring