Number System Class 9 MCQ Questions – Maths Class 9 MCQ Online Test are covered in this Article. Number System Class 9 MCQ Test contains 30 questions. Answers to MCQ on Number System Class 9 are available after clicking on the answer. MCQ Questions for Class 9 with Answers have been made for Class 9 students to help check the concept you have learnt from detailed classroom sessions and application of your knowledge.
| Board | CBSE |
| Textbook | Maths (NCERT) |
| Class | Class 9 |
| Chapter | Chapter 1 Number System |
| Category | MCQ Questions for Class 9 Maths with Answers |
Number System Class 9 MCQ with Answers
1. Every rational number is
(a)Whole number
(b)Real number
(c)Integer
(d)Natural number
Answer
Answer: (b)Real number
2. In between two rational numbers, there are
(a)No rational number
(b)one rational number
(c)two rational number
(d) infinite rational number
Answer
Answer: (d) infinite rational number
3.If a number cannot be written in p/q form, where p and q are integers and q≠0, then the number will be
(a)rational number
(b)irrational number
(c) both (a)and(b)
(d)None of these
Answer
Answer: (b)irrational number
Explanation: A number is called an irrational number, if it cannot be written in the form p/q, where p and q are integers and q≠0.
4. Three rational number between 2 and 3 are
(a)5/2, 6/2, 7/2
(b)11/5, 12/5, 13/5
(c) 11/6, 12/6, 13/6
(d)2/5, 3/5, 4/5
Answer
Answer: (b)11/5, 12/5, 13/5
Explanation: There are infinite rational numbers between 2 and 3
To find 3 rational numbers between 2 and 3, we need to multiply and divide both the number by 2+3=5
Hence, 2× (5/5) = 10/5 and 3× (5/5) = 15/5
So, three rational number between 2 and 3 are 11/5, 12/5 and 13/5.
5. √25 is a/an
(a)rational number
(b)irrational number
(c) neither rational nor irrational
(d)None of these
Answer
Answer: (a)rational number
Explanation: √25 = 5
So, √25 is a rational number.
6. The product of a rational and irrational number is always a/an
(a)integer
(b)rational
(c)irrational number
(d)None of these
Answer
Answer: (c)irrational number
Explanation: The product of a rational and irrational number is always an irrational number.
7. 3√2 + 7√2 is equal to
(a)6√2
(b)10√2
(c) 4√2
(d)5√2
Answer
Answer: (b)10√2
Explanation: 3√2 + 7√2 = √2(3+7) = 10√2
8. √a/b is equal to
(a)√ab
(b) √a√b
(c) (√a)/(√b)
(d) (√b)/(√a)
Answer
Answer: (c) (√a)/(√b)
Explanation: √(a/b)=(√a)/(√b)
9. Which of the following is an irrational number
(a)√25
(b) √4
(c)7.5
(d) √23
Answer
Answer: (d) √23
Explanation: √23=4.798=57315233….
The decimal expansion of the number is non terminating non recurring. Hence, it is an irrational number.
10. The decimal expansion of a number is terminating then the number is
(a)rational
(b)irrational number
(c)neither rational nor irrational
(d)None of these
Answer
Answer: (a)rational
Explanation: The decimal expansion of a number is terminating then the number is rational
Number System Class 9 MCQ with Answers
11. In between two rational numbers, there are
(a)No irrational number
(b)one irrational number
(c)infinite irrational number
(d)None of these
Answer
Answer: (c)infinite irrational number
12.The irrational number between 2 and 3 is
(a)√4
(b) √7
(c)√9
(d)√10
Answer
Answer: (b) √7
Explanation: Approximate value of √7 = 2.64
2.64 is between 2 and 3.
13. Addition of √5 + 7√3 and 3√5 -√3 is equal to
(a)4√5 + 6√3
(b) √5 + 5√3
(c) 3√5 + 6√3
(d) 3√5 + 7√3
Answer
Answer: (a)4√5 + 6√3
Explanation: (√5 + 7√3) + (3√5 -√3) = (√5 +3√5) +(7√3 -√3)
= (1+3) √5 + (7-1) √3
= 4√5 +6√3
14. 9√7× 9√7 is equal to
(a)567
(b)765
(c)81√7
(d) 9√7
Answer
Answer: (a)567
Explanation: 9×√7× 9×√7 = 81×7 = 567
15. Divide 20 by 2√5
(a) √5
(b) 2√5
(c)4√5
(d)3√5
Answer
Answer: (b) 2√5
Explanation: 20/(2√5) =(4×5)/(2√5) = (2×2×√5×√5)/(2√5) = 2√5
16. The number obtained by rationalizing the denominator of 1/(6-√5)
(a)(6+√5)/(6-√5)
(b) (6-√5)/31
(c) (6-√5)/(6+√5)
(d)(6+√5)/31
Answer
Answer: (d)(6+√5)/31
Explanation: 1/(6-√5) ×(6+√5)/(6+√5) = (6+√5)/((6)2-(√5)2 )=(6+√5)/(36-5) = (6+√5)/31
17.Which of the following is equal to x2
(a)x4-x
(b) x4x
(c) x4x-3
(d) x4x-2
Answer
Answer: (d) x4x-2
Explanation: x4x-2 = x4-2 = x2
18. (6√5 + 7√3)(6 √5 – 7√3) is equal to
(a)23
(b)33
(c)43
(d)45
Answer
Answer: (b)33
Explanation: (6√5 + 7√3)(6 √5 – 7√3) = (6√5)2-(7√3)2
= (36×5) – (49×3)
= 180 – 147
= 33
19. Which of the following is a rational number?
(a)2
(b) √9
(c)both (a) and (b)
(d)None of these
Answer
Answer: (c)both (a) and (b)
Explanation: √9=3 which is a rational number.
20. √2+√9 is a/an
(a)irrational number
(b)rational number
(c) both rational and irrational
(d)None of these
Answer
Answer: (a)irrational number
Explanation: √2+√9 = √2+3
√2 is an irrational number and 3 is a rational number, and sum of a rational and irrational number is always an
irrational number
Hence, √2+√9 is an irrational number.
Number System Class 9 MCQ with Answers
21.Which of the following is a rational number
(a)π
(b)√2
(c) √3
(d)1.3478
Answer
Answer: (d)1.3478
Explanation: 1.3478 can be represented in the (p )/q form i.e.,
1.3478=13478/10000
22. Value of the expression (√2+7√5)2 is
(a) 247 + 14√10
(b) 24 + 14√10
(c) 247 + √10
(d)None of these
Answer
Answer: (a) 247 + 14√10
Explanation: (√2+7√5)2 = (√2)2 +2(√2)( 7√5)+( 7√5)2
= 2 +14√10 + 245
= 247 + 14√10
23. The value of the expression (√3+√5)/(√3-√5) after rationalising the denominator is
(a) 4-√15
(b) 8+√15
(c) -4-√15
(d)- 4-2√15
Answer
Answer: (c) -4-√15
Explanation: (√3+√5)/(√3-√5)× (√3+√5)/(√3+√5) = (√3+√5)2/((√3)2-(√5)2 )
= ((√3)2+2(√3)(√5)+(√5)2)/(3-5)
= (3+2√15+5)/(-2)
= (8+2√15)/(-2)
= -[4+√15]
24. The value obtained after simplifying 72.7(2/3) is
(a) 7(8/3)
(b) 7(2/3)
(c) 72
(d) 7(4/3);
Answer
Answer: (a) 7(8/3)
Explanation: am.an = (a)m+n
Using above identity
72.7(2/3) = 7(2+2/3) = 7(8/3)
25. (9(3/2))8 is equal to
(a) 92
(b) 912
(c) 93
(d) All of these
Answer
Answer: (b) 912
Explanation: (9(3/2))8 = 9(3/2×)8 = 912
26. The value obtained after simplifying 5(2/9)/5(1/7) is
(a) 5(5/63 )
(b) 5(1/63 )
(c) 5(14/63 )
(d) 5((-5)/63 )
Answer
Answer: (a) 5(5/63 )
Explanation: 5(2/9)/5(1/7) = 5((2/9 – 1/7))
= 5(((14-9)/63)) = 5(5/63 )
27.a-p.7-p =
(a)7a
(b) a-p
(c) (7a)-p
(d) 7-p;
Answer
Answer: (c) (7a)-p
Explanation: a-p.7-p = (7a)-p
28. (2√3-√7)( (2√3+√7) +(3√3+√2)2 =
(a) 2(17+3√6)
(b) 34+6√6
(c) Both (a) and (b)
(d) None of these
Answer
Answer: (c) Both (a) and (b)
Explanation: (2√3-√7)( (2√3+√7) +(3√3+√2)2
= (2√3)2 – (√7)2 + (3√3)2 + 2((3√3)(√2) + (√2)2
= 12 – 7 +27 + 6√6 +2
= 34+6√6
= 2(17+3√6)
29. (2((-3)/2))[ (25+5((-3)/2))] =
(a) (2(7/2)) + (10((-3)/2)))
(b) (2(7/2)) + (10(3/2))
(c) (2(-7/2) + (10-3/2)
(d) (10(7/2) + (2(-3/2))
Answer
Answer: (a) (2(7/2)) + (10((-3)/2)))
Explanation: (2((-3)/2))[ (25+5((-3)/2))] = (2((-3)/2)) (2^5)+ (2((-3)/2)) (5((-3)/2))
= (2((-3)/2+5)) + (10((-3)/2))
= (2((-3+10)/2)) + (10((-3)/2))
= (2(7/2)) + (10((-3)/2)))
30. (2-√2)2 – 6 + 4√2
(a)1
(b)2
(c)3
(d)0
Answer
Answer: (d)0
Explanation: (2-√2)2– 6 + 4√2 = (2)2-2(2) (√2) + (√2)2– 6 + 4√2
= 4 -4√2 +2 – 6 + 4√2
= 6 – 4√2- 6 + 4√2
= 0
MCQ Questions for Class 9 Maths
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Frequently Asked Questions on Number System Class 9 MCQ Questions
1. Are these MCQ on Number System Class 9 are based on 2021-22 CBSE Syllabus?
Yes. There are 30 MCQ’s on this Chapter in this blog.
2. Are you giving all the chapters of Maths Class 9 MCQs with Answers which are given in CBSE syllabus for 2021-22 ?
Yes, we are providing all the chapters of Maths Class 9 MCQs with Answers.