CBSE Class 9 Mathematics Number System Assignment Set 01

Question. Which of the following is not a rational number?
(A) √2
(B) √4
(C) √9
(D) √16
Answer : A

Question. of which of the following is the set of natural numbers a subset?
(A) The set of even numbers.
(B) The set of odd numbers.
(C) The set of composite numbers.
(D) The set of real numbers.
Answer : D

Question. Given X : Every fraction is a rational number. 
and Y : Every rational number is a fraction.
Which of the following is correct?
(A) X is False andY is True.
(B) X is True andY is False.
(C) Both X andY are True.
(D) Both X andY are False.
Answer : B

Question. What is the product of ³√4 and ³√22 ?
(A) 2³√11
(B) (3√11)
(C) 4√11
(D) 8³√11
Answer : A

Question. What is the quotient when ⁶√12 is divided by √3 ³√2?
(A) 1/²√3
(B) 1/³√3
(C) 1/⁴√3
(D) 1/⁵√3
Answer : B

Question. If -4/7 = -32/x, what is the value of x?
(A) - 56
(B) 56
(C) - 65
(D) 65
Answer : B

Question. What is the rationalizing factor of (2³√5) ?
(A) ³√5
(B) ³√5²
(C) 5²
(D) 5³
Answer : B

Question. What is the rationalizing factor of ⁵√a²b³c⁴ ?
(A) ⁵√a³b²c
(B) ⁴√a³b²c
(C) ³√a³b²c
(D) √a³b²c
Answer : A

Question. What is the rational denominator of 2³√/³√9?
(A) 1
(B) 2
(C) 3
(D) 4
Answer : C

Question. Which is an irrational number bet ween √2 and v3?
(A) 2^1/2
(B) 3^1/4
(C) 6^1/4
(D) 6^1/8
Answer : C

Question. What t ype of a number is (6 + √2)(6 - √2)?
(A) Rational number
(B) Irrational number
(C) Prime number
(D) Negative Integer
Answer : A

Question. What type of a number is (√2 + √3)² ?
(A) A rational number
(B) An irrational number
(C) A fraction
(D) A decimal number
Answer : B

Question. If 9^x+2 = 240 + 9^x, find X.
(A) 0.5
(B) 0.2
(C) 0.4
(D) 0.1
Answer : A

Question. Which expression is equal to (x^-1 + y^-1)¹ ?
(A) xy
(B) x + y
(C) xy/x+y
(D) x+y/xy
Answer : C

Question. If 10^x = 64, what is the value of 10^x/2+1 ?
(A) 18
(B) 42
(C) 80
(D) 81
Answer : C

Question. If x = 2/3-√7 find the value of (x - 3)²
(A) 1
(B) 3
(C) 6
(D) 7
Answer : D

Question. Find the difference between 1.4¯ and 0.2¯.
(A) 0.2¯
(B) 1.3¯
(C) 11/9
(D) 12/9
Answer : C

Question. If √a is an irrational number, what is a?
(A) Rational
(B) Irrational
(C) 0
(D) Real
Answer : A

Question. Which of the following is an irrational number?
(A) √9
(B) π
(C) 22/7
(D) 2.5151515 ....
Answer : B

Question. If x = 7 + 4√3 and xy = 1, what is the value of 1/x² + 1/y²
(A) 64
(B) 134
(C) 194
(D) 1/49
Answer : C

Question. If √5 = 2.236 and √3 = 1.732, find the value of 1/√5 - √3 .
(A) 3.968
(B) 1/3.968
(C) 1.984
(D) √0.504
Answer : C

Question. Find the value of (⁶√27 - √6(3/4))²
(A) √5/2
(B) 3/2
(C) √3/4
(D) 3/4
Answer : D

Question. Find the value of x - y^x-y when x = 2 and y= -2.
(A) 18
(B) - 18
(C) 14
(D) - 14
Answer : D

Question. If x/x¹⁵ = 8x^-1 and x > 0, find x.
(A) √2/4
(B) 2√2
(C) 4
(D) 64 
Answer : D

Question. If 4^x - 4^x-1 = 24, what is the value of (2x)^x ?
(A) 5√5
(B) √5
(C) 25√5
(D) 125
Answer : C

Question. If x = √S + 2, find the value of x - 1/x.
(A) 2√S
(B) 4
(C) 2
(D) √5
Answer : B

Question. Identify a rational number between -5 and 5.
(A) 0
(B) - 7.3
(C) -5.7
(D) 1.101100110001..
Answer : A

Question. The sum of the digits of a number is subtracted from the number, the resulting number is always divisible by which of the following numbers?
(A) 2
(B) 5
(C) 8
(D) 9
Answer : D

Question. Which of the following numbers is an irrational number?
(A) √16 - 4
(B) (3 - √3)(3 + √3)
(C) √5 + 3
(D) -√25
Answer : C

Question. m and n are integers and √mn = 10. Which of the following cannot be a value of m + n?
(A) 25
(B) 52
(C) 101
(D) 50
Answer : C

Question. If 2.5252525 ..... = p/q (in the lowest form) what is the value of q/p?
(A) 0.4
(B) 0.42525
(C) 0.0396
(D) 0.396
Answer : D

Question. If x^x√x = (x√x)^x find the value of x.
(A) 3/2
(B) 2/9
(C) 9/4
(D) 4/9
Answer : C

Question. If x = 2 + 2^1/3 + 2^2/3, find the value of (x³ - 6x² + 6x).
(A) 2
(B) 4
(C) 8
(D) 6
Answer : A

Question. If x = 1/2 - √3, find the value of x³ - 2x² - 7x + 10
(A) 14
(B) 8
(C) 4
(D) 16
Answer : B

Question. If a = 3 and b = 5, find the value of a^a + b^b.
(A) 512
(B) 251
(C) 513
(D) 152
Answer : D

Question. If p = 3 and q = 5, find the value of (1/p + 1/q)^p
(A) 3375/512
(B) 512/3375
(C) 512/225
(D) 54/225
Answer : B

Question. Fmd the value of 1/√5 - √4
(A) √5 - √4
(B) √5 + √4
(C) √5 + √4 / 9
(D) √4 -√S
Answer : B

Question. Find the rational number for 0.5¯.
(A) 9/5
(B) 5/10
(C) 5/9
(D) 10/5
Answer : C

Question. Identify the simplest form of 5√3 + 3√5 / 5√3 - 3√5
(A) 6 + √15
(B) 4 + √15
(C) 4 + √3
(D) 6 + √5
|Answer : B

Question. Find the value of (0.6)⁶ - (0.1)^-1/(3/8)^-1(3/2)³ + (-1/3)^-1
(A) -2/3
(B) 3/2
(C) - (3/2)
(D) 2/3
Answer : C
 

Please click the link below to download CBSE Class 9 Mathematics Number System Assignment Set A