CBSE Class 9 Maths Number Systems MCQs Set A

Question:

(a) √10−√3
(b) (√10−√3)²
(c) 7(√10−√3)
(d) none of these

Answer: √10−√3

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

Answer: 1

Question:

(a)

(b)

(c) x^x/y
(d) x^y/x

Answer:

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

Answer: 36/25

Question:

(a) 4
(b) 1
(c) 16
(d) 12

Answer: 4

Question: The value of (5)^0.25X(125)^0.25/ (256)^0.10 X (253)^0.15
(a) 5/4
(b) 25/16
(c) √5/2
(d) 25/2

Answer: 5/4

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

Answer: 100

Question:

a) I and II
b) I and III
c) II and III
d) I and IV

Answer: I and II

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

Answer: 12

Question:

(a) 6
(b) 8
(c) 5
(d) 7

Answer: 6

Question:

(a) 630
(b) 545
(c) 500
(d) none

Answer: 630

Question: If √2 = 1.414 then the value of 5 + √2 / 5 − √2
(a) 1.787
(b) 1.828
(c) 1.525
(d) 1.326

Answer: 1.787

Question:  Rational number 3/40 is equal to:
(a) 0.75
(b) 0.12
(c) 0.012
(d) 0.075

Question: A rational number between 3 and 4 is:
(a) 3/2
(b) 4/3
(c) 7/2
(d) 7/4

Question: A rational number between 3/5 and 4/5 is:
(a) 7/5
(b) 7/1
(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: Decimal representation of 1/5 is :
(b) 0.5
(c) 0.02
(d) 0.002

Question: 8 , 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: 

Question: Decimal representation of rational number 8/27 is: 

Answer: a nonterminating and non-repeating decimal

Question: Which of the following statements is true?
a) None of these
b) Irrational numbers cannot be represented by points on the number line
c) Every point on the number line represents a rational number
d) Both

Answer: None of these

Question: The set of real numbers does not satisfy the property of
a) none of these
b) additive inverse
c) multiplicative inverse
d) Both

Answer: none of these

Question: If ‘m’ is an irrational number then ‘2m’ is
a) an irrational number
b) a natural number
c) a whole number
d) a rational number

Answer: an irrational number

Question: The value of √3 is
a) 1.732
b) 1.414
c) 2.256
d) none

Answer: 1.732

Question: The sum of a rational and an irrational number is
a) an irrational number
b) an integer
c) a rational number
d) a whole number

Answer: an irrational number

Question: The product of two irrationals is
a) either A or B
b) a rational number
c) an irrational number
d) neither A nor B

Answer: either A or B

Question: The sum of the additive inverse and multiplicative inverse of 2 is
a) -3/2
b) -1/2
c) 3/2
d) 1/2

Answer: -3/2

Question: If √6 = 2.449 then the value of  3√2/2√3  is close to
a) 1.225
b) 0.613
c) 0.816
d) 2.449

Answer: 1.225

Question:

a) 5
b) none
c) 0
d) can’t be determined

Answer: 5

Question: The set of all irrational numbers is closed for
a) none of these
b) multiplication
c) addition
d) division

Answer: none of these

Question: Which of the following statement is false?
a) Every rational number is a fraction
b) All the above
c) Every integer is a rational number
d) Every fraction is a rational number

Answer: Every rational number is a fraction

Question: On rationalizing the denominator of 1/√7 - √6 , we get 
a) √7 + √6/√7 - √6
b) √7 - √6/√7 + √6
c) √7 + √6
d) √7 - √6

Question: On rationalizing the denominator of 1/√5+√2 , we get
a) √5-√2
b) √2 - √5
c) √5-√2/3
d) √2-√5

Question: On rationalizing the denominator of 1/√7 - 2 , we get
a) √7 - 2
b) √7 + 2
c) √7 + 2/3
d) √7 - 2/3

Question: On rationalizing the denominator of 1√2 , we get
a) 2
b) √2
c) 2/√2
d) √2/2

Question: On rationalizing the denominator of 1/2+√3 , we get
a) 2 - √3 
b) √3 - 2
c) 2+√3
d) -√3-2

Question: On rationalizing the denominator of 1/√3 -√2 , we get 
a) 1/√3+√2 
b) √3+√2 
c) √2-√3 
d) -√3-√2

Question: The value of 64^1/2s :
a) 8
b) 4
c) 16
d) 32

Question: The value of 32^1/5s :
a) 16
b) 160
c) 2
d) 18

Question: The value of (125)^1/3 is :
a) 5
b) 25
c) 45
d) 35