CBSE Class 9 Maths Number Systems MCQs Set 02

Question. The value of 3³√2 x 7 ³√6 x 5³√18 is
(A) 545 
(B) 500
(C) 630
(D) none

Answer : C

Question. Conjugate sure of a – √b is
(A) a + √b 
(B) √a – b
(C) √a – √b 
(D) √a + b

Answer : A

Question. The value of (√5 + √2)² + (√5 – √2)² is
(A) 7 
(B) 14
(C) 2√10 
(D) none

Answer : B

Question. If √2 = 1.414 then the value of 5 + √2 / 5 - √2 is
(A) 1.787 
(B) 1.525
(C) 1.828 
(D) 1.326

Answer : A

Question. The rationalsing factor of a² + ab + b² is
(A) a + b 
(B) a² + b²
(C) a² – b² 
(D) a – b

Answer : D

Question. The value of (3° – 4°) × 52 is
(A) 25 
(B) 0
(C) – 25 
(D) none

Answer : B

Question. The solution of 3^{3x – 5} = 1/9x is
(A) 5/2
(B) 5
(C) 1 
(D) 7/3

Answer : C

Question. The value of [(-2)^(-2)]^(-3) is
(A) 64 
(B) 32
(C) cannot be determined 
(D) none of these

Answer : A

Question. (16/81)3∫4 =
(A) 9/2
(B) 2/9
(C) 8/27
(D) 27/8

Answer : C

Question. √2 - 1 √2 + 1 =
(A) 3 – 2√2 
(B) 3 + 2√2
(C) 1/√2
(D) 1.732

Answer : A

Question. The value of (512)-2/9 is
(A) 1/2
(B) 2
(C) 4 
(D) 1/4

Answer : D

Question. Simplify (32)-2/5 ÷ (125)-2/ 3
(A) 4/25
(B) 25/4
(C) 2/5
(D) 5/2

Answer : B

Question. The rationalising factor of 5 + 2√6 is
(A) –2√6 – 5
(B) √6 – 10
(C) 6 – √5
(D) 5 – 2√6

Answer : D

Question. Simplify: √300 - √48 + √75 - √147
(A) 2√3
(B) √3
(C) 4√3
(D) none

Answer : C

Question. Similify: (√3 + 2)² - (√3 - 2)²
(A) 8√3
(B) 14
(C) 14 + 8√3
(D) 14 – 8√3

Answer : A

Question. Match the following provided that a and b are any rational numbers different from zero and x, y are any rational numbers
(1) a^x × a^y (a) a^x – y
(2) a^x ÷ a^y (b) a^xy
(3) (a^x)^y (c) a^{x + y}
(4) (ab)^x (d) a^x/b^x
(5) (a/b)^x (e) a^x × b^x
(A) 1 - c, 2 - a, 3 - b, 4 - e, 5 - d
(B) 1 - b, 2 - c, 3 - a, 4 - e, 5 - d
(C) 1 - a, 2 - c, 3 - a, 4 - e, 5 - d
(D) 1 - a, 2 - b, 3 - c, 4 - d, 5 - e

Answer : A

Question. The value of expression (8° – 3°) × (8° + 3°) is equal to
(A) 0 
(B) 1
(C) 2 
(D) 3

Answer : A

Question. The value of expression (1/3)³ x (-2/5)² x (-3/2)³ is
(A) 1/50 
(B) –1/50
(C) 1 
(D) 0

Answer : B

Question. If 36a⁴ = a⁶, then a³ is euqal to
(A) (1/6)a⁶
(B) 6a⁴
(C) (1/6)a²
(D) 6a²

Answer : D

Question. The reciprocal of the rational number (3/2)^-2 ÷ (1/3)^-3 is
(A) 240/4
(B) 241/2
(C) 243/4
(D) 241/4

Answer : C

Question. The value of expression -2/7 x -2/7 x -2/7 in power notation is
(A) (-2/7)³
(B) (2/7)³
(C) 2/7
(D) -2/7

Answer : A

Question. The quotient of 100¹⁰⁰ and 50⁵⁰ is
(A) 50⁵⁰ 
(B) 50¹⁰⁰
(C) 200⁵⁰ 
(D) 400⁵⁰

Answer : C

Question. √300 √48 √75 √147 =
(A) 2√3 
(B) √3
(C) 4√3 
(D) √3

Answer : C

Question. The value of expression 3√64/125 in the exponential form is
(A)  (64)^{1/ 3} / (125)^{1/ 3}
(B) (64)^{1/ 2} / (125)^{1/ 2}
(C) 0 
(D) 1

Answer : A

Question. Which expression is equivalent to the number 8, 006 425 ?
(A) (8 × 107) + (6 × 106) + (4 × 103) + (2 × 102) + (5 × 101)
(B) (8 × 10) + (6 × 10) + (4 × 10) + (2 × 10) + (5 × 10)
(C) (8 × 106) + (6 × 105) + (4 × 104) + (2 × 103) + (5 × 102)
(D) (8 × 106) + (6 × 103) + (4 × 102) + (2 × 101) + (5 × 100)

Answer : D

Question. The value of [(-2)^(-2)]^(-3) is
(A) 64
(B) 32
(C) Cannot be determined
(D) 14

Answer: A

Question. The value of x in exponential equation 2x – 4 = 1 is equal to
(A) 4
(B) 3
(C) 2
(D) 1

Answer: A

Question. The standard form of 0.00000037 is
(A) 3.7 × 10–6
(B) 3.7 × 10–7
(C) 3.7 × 10–5
(D) 3.7

Answer: B

Question. If {(1/3)^-1 - (1/4)^-1}^m = 1 , then least positive integral value of m is
(A) 0
(B) 2
(C) 1
(D) 3

Answer: B

Question. The value of the expression (1³ + 2³ + 3³ + 4³)^–3/2 is
(A) 1
(B) 1/1000
(C) 1/100
(D) 0

Answer: B

Question. The distance between Sun and Earth is 1.496 × 1011 m and the distance between Earth and Moon is 3.84 × 108 m. During solar eclipse, Moon comes in between Earth and Sun. At that time the distance between Moon and Sun is
(A) 149.216 × 10⁸ m
(B) 1492.16 × 10⁸ m
(C) 14.9216 × 10⁸ m
(D) 1.49216 × 108 m

Answer: B

Question. The least number of numbers to be deleted from the set {1, 2, 3..., 13, 14, 15} so that the product of the remaining numbers is a perfect square is
(A) 1
(B) 3
(C) 2
(D) 4

Answer: B

Question. Let the length of a positive integer n be defined as the number of prime foctors of n, counting perpetitions. Length of 36 is 4 as 36 = 2.2.3.3. Length of 64 is 6 as 64 = 2.2.2.2.2.2. The number of numbers less than 100 with maximum length is
(A) 5
(B) 4
(C) 3
(D) 2

Answer: D

Question. (36 + 64)^{1/ 3} + (1+ 4^3/2 )^{1/ 2}+√20 + √45 equals
(A) 13 + 2 √5
(B) 10 + 5 √5
(C) 10 + 2 √5
(D) 13 + 5 √5

Answer: D

Question. (1024)^4/5 x (1/4)^-3 equals to
(A) 4
(B) 1/4
(C) 1
(D) 16

Answer: A

Question. The value of (3²)³ + (2/3)⁰ + 3⁵ is
(A) 930
(B) 973
(C) 932
(D) 950

Answer: B

Question. 16^5/2 ÷ 16^1/2 =
(A) 250 
(B) 256
(C) 255 
(D) 200

Answer : B

Question. (32)^-2/5 ÷ (125)^-2/3 =
(A) 4/25 
(B) 25/4
(C) 2/5 
(D) 5/2

Answer : B

Question. The value of (512) ^-2/9 is
(A) 1/2 
(B) 2
(C) 4 
(D) 1/4

Answer : D

Question.  

(A) 0
(B) 1
(C) 2
(D) 3

Answer : 

Question. 4^-3/2 +8^2/3 = ? 

Answer :

Question. The value of 

(A) 1/4
(B) 1/8
(C) 16
(D) 1/16 

Answer: D

Question. If 10/3 x 3^x - 3^x-1 = 81, then the value of x is
(A) 2 
(B) 1
(C) 3 
(D) 0

Answer : C

Question. The standard form of 15240000 is
(A) 1.524 × 10⁷ 
(B) 1.524 × 10⁶
(C) 15.24 × 10⁷ 
(D) 1.524 × 10⁸

Answer : A

Question. (√3 +2)² - (√3 - 2)² =
(A) 8√3 
(B) 14
(C) 14 + 8√3 
(D) 14 - 8√3

Answer : A

Question. The value of 2²⁰⁰¹ + 2¹⁹⁹⁹ / 2²⁰⁰⁰ - 2¹⁹⁹⁸ is
(A) 2 
(B) 10/3
(C) 2¹⁰⁰⁰ + 1 
(D) 10

Answer : B

Question. When simplified, (x^–1 + y^–1)^–1 is equal to
(A) x + y 
(B) xy/x + y
(C) xy 
(D) 1/xy

Answer : B

Question. The value of x + x (x^x) when x = 2 is
(A) 10 
(B) 16
(C) 18 
(D) 36

Answer : A

Question. Multiplicative inverse of 1/10^–100 is
(A) 10^–100 
(B) 1/10^-100
(C) (10)^–100 
(D) (10–50)³

Answer : B

Question. The value of (1024)^-(4/5) is
(A) 1/64 
(B) 1/128
(C) 1/256 
(D) 1/512

Answer : C