Q. The additive inverse of -x +y is ____.
(a) x - y
(b) -x - y
(c) x + y
(d) -x + y
Answer: a
Q. Additive inverse of "0" is
(a) 1
(b) 1
(c) 0
(d) 2
Answer: c
Q. Multiplicative inverse of "0" ____________.
(a) exist
(b) does not exist
(c) 1
(d) ∞
Answer: b
Q. {-(-2)⁴} = ____________
(a) 4000
(b) - 4096
(c) 4096
(d) -4000
Answer: b
Q. Simplified form of√3(√3 + 2√12) is __________.
(a) -15
(b) √3
(c) -√3
(d) 15
Answer: d
Q. The conjugate of 2√a+ 4√bis.
(a) -2√a+ 4√b
(b) 2√a- 4√b
(C) -2√a- 4√b
(d) 3+√12
Answer: b
Q. Simplify√6(5√24-√6 )is ________.
(a) 54
(b) -54
(c) 120
(d) 114
Answer: a
Q. lf x = 7 - 4√3then find the value of x - 1/x =
(a) 8√3
(b) 14
(c) -14
(d) - 8√3
Answer: d
Q. √48+√75is equivalent to
(a) 4√3
(b) 9√3
(c) 7√3
(d) 8√3
Answer: b
Q. The set A = {1, 2, 5, 7,......} is closed with respect to ________.
(a) Addition
(b) Subtraction
(c) Division
(d) Multiplication
Answer: d
Q. If x, y and z are three real numbers such that x = y and y = z then x = z this property is known as property.
(a) Reflexive
(b) Transitive
(c) Symmetric
(d) Trichotomy
Answer: b
Q. Is the multiplicative inverse of x⁻¹
(a) y
(b) x
(c) x⁻¹
(d) y⁻¹
Answer: b
Q. {-(-1)⁻⁴} =
(a) -1
(b) 1
(c) 0
(d) None of these
Answer: a
Q. The Identity element for multiplication of a set of real number is
(a) 0
(b) -1
(c) ∞
(d) 1
Answer: d
Q. If x = 2+√3then x² =
(a) 7
(b) 7+4√3
(c) 7- 4√3
(d) 2√3
Answer: b
Q. The additive inverse of 1/-a-b is
(a) -a +b
(b) a - b
(c) 1 / a + b
(d) None of these
Answer: c
Q. [-(-1)⁵]² =
(a) * 1
(b) -1
(c) 2
(d) 0
Answer: a
Q. (7-√2)(7+√2)=
(a) 49
(b) -49
(c) 0
(d) -47
Answer: d
Q. (2√2+ √7)(2√2-√7)=
(a) 4
(b) 2
(c) 1
(d) 0
Answer: c
Q. 8¹/³ x 36¹/² =
(a) 8
(b) 10
(c) 6
(d) 12
Answer: d
Q. The set {1, 0} is closed with respect to
(a) Addition
(b) Subtraction
(c) Multiplication
(d) Division
Answer: c
Q. 7 / (5 x⁰) =
(a) 7/5
(b) 5/7
(c) X
(d) None of these
Answer: a
Q. Simplify 2√3+ 6√3=
(a) -8√3
(b) 8√3
(c) 2√3
(d) None of these
Answer: b
Q. Simplify√8 x√12=
(a) 4√6
(b) -4√6
(c) 8√3
(d) None of these
Answer: a
Q. Simplify 5√243 =
(a) 4
(b) -4
(c) 3
(d) None of these
Answer: c
Q. (4³)² / (4²)³=
(a) 6
(b) 4
(c) 1
(d) None of these
Answer: b
Q. 5√3is surd of order.
(a) fourth
(b) third
(c) fifth
(d) Second
Answer: c
Q. An expression which has atleast one term involving a radical sign is called a
(a) Radicand
(b) Index
(c) Surd
(d) None of these
Answer: c
Q. The product of conjugate binomial surds is always a number.
(a) Natural
(b) Irrational
(c) Whole
(d) Rational
Answer: d
Q. Simplify (3√6+ √3)² =
(a) 57 + 18√2
(b) 57 - 18√2
(c) -57 - 18√2
(d) None o these
Answer: a
Q. π is an numher.
(a) Rational
(b) Natural
(c) Irrational
(d) Whole
Answer: c
Q. 8√2+ 6√7is an example of _________ Surds.
(a) Monomial
(b) Trinomial
(c) Binomial
(d) Multinomial
Answer: c
Q. n√a is an __________ number.
(a) Rational
(b) Irrational
(c) Natural
(d) Whole
Answer: b
Q. Simplify√6(4√24-√6) =
(a) 42
(b) 48
(c) 54
(d) 58
Answer: a
Q. Simplify√7√6√42=
(a) 48
(b) 42
(c) 0
(d) 50
Answer: b
Q.√2is an numher.
(a) Rational
(b) Irrational
(c) Natural
(d) whole
Answer: b
Q. All terminating decimal fractions represent numbers,
(a) Irrational
(b) Natural
(c) Rational
(d) Whole
Answer: c
Q. A decimal fraction in which the decimal part contains only a finite number of digits in called a decimal fractions.
(a) Terminating
(b) Non Terminating
(c) Recurring
(d) None of these
Answer: a
Q. If x=√2- 1 then x² =
(a) 1 /√2- 1
(b)√2+ 1
(c) 1
(d) 3 - 2√2
Answer: d
Q. If x 2+√3then x + 1/x
(a) 2 -√3
(b) 4
(c) 2√3
(d) 3
Answer: b
Q. The numbers that can be expressed as the ratio of two integers are called numher.
(a) Irrational
(b) Whole
(c) Rational
(d) None of these
Answer: c
Q. The numbers that can not be expressed at the ratio of two integers are called numher.
(a) Irrational
(b) Whole
(c) Rational
(d) None of these
Answer: a
Q. ⁵√x=
(a) x
(b) x¹/⁵
(c) 5√x
(d) None of these
Answer: b
Q. (X⁵ x X³) / X⁸ =
(a) 1
(b) -2
(c) 0
(d) -1
Answer: a
Q. X³/² =
(a) x
(b) x√x
(c) -x√x
(d) None of these
Answer: b
Q. A number whose exponent is zero is always is equal to
(a) 0
(b) -1
(c) 1
(d) ∞
Answer: c
Q. Xᵇ x X⁻ᵇ =
(a) 1
(b) 0
(c) -1
(d) ∞
Answer: a
Q. To find the value of 38(83)⁹ we first find the 9th power of 83 and then is ________ with 38.
(a) Addition
(b) Subtraction
(c) Multiply
(d) None of These
Answer: c
Q. The radicand of the expression 3√35is
(a) 36
(b) 0
(c) 1
(d) 35
Answer: d
Q.√48=
(a)√3
(b) 4√3
(c) 4
(d) - 4√3
Answer: b
Q. The multiplicative inverse of -5 is
(a) -1/5
(b) 1/5
(c) -5
(d) 5
Answer: a
Q. a¹/² is called the ________ root of a
(a) Cube
(b) nth
(c) Square
(d) None of these
Answer: c
Q. a¹/³ is called the root of a
(a) Square
(b) Cube
(c) nth
(d) None of these
Answer: b
Q. x⁻² =
(a) 1 / x²
(b) 1 / x
(c) x²
(d) x
Answer: a
Q. The nth power of a number "a" is called base and "n" is called.
(a) coefficient
(b) exponent
(c) variable
(d) None of these
Answer: b
Q. ³√27=
(a) 4
(b) -3
(c) 2
(d) 3
Answer: d
Q. 1 / 2-√3=
(a) 2 +√3
(b) -2 +√3
(c) -2 -√3
(d) None of these
Answer: a
Q. The Union of the sets of all rational and irrational numbers is called the set of numbers.
(a) Natural
(b) Whole
(c) Real
(d) None of these
Answer: c
Q. If l6 ˣ⁺² = 64 / 4ˣ then the value of x
(a) - 1/3
(b) 1/2
(c) 1/3
(d) 3
Answer: a
Q. If 9 ˣ⁺¹ = 9 / 3ˣthen the value of x =
(a) 1
(b) 9
(c) 0
(d) 3
Answer: c
Q. Simplify[(-8)⁴]⁶=
(a) 8²⁴
(b) -8²⁴
(c) 8
(d) None of these
Answer: a
Q. 1/6 is a ________ number.
(a) Odd
(b) Even
(c) Rational
(d) Irrational
Answer: c
Q. Irrational number is a number which can be expressed only as a non-recurring decimal fraction.
(a) Non-Terminating
(b) Terminating
(c) recurring
(d) None of these
Answer: a
Q. If x = y --> y = x for all x, y∈R then this property is called property.
(a) Reflexive
(b) Symmetric
(c) Transitive
(d) Trichotomy
Answer: b
Q. For any two real numbers x and y either x<y or x=y or x>y then this property is called ______ property.
(a) Reflexive
(b) Symmetric
(c) Trichotomy
(d) Transitive
Answer: c
Q. By distributive property of multiplication with respect to Addition x(y +z) =
(a) xy - xz
(b) xy + xz
(c) -xy + xz
(d) None of these
Answer: b
Q. The set {0, 1} is closed with respect to
(a) multiplication
(b) Addition
(c) Division
(d) Subtraction
Answer: a
Q. The set {1} is closed with respect to
(a) Addition
(b) Multiplication
(c) Subtraction
(d) Division
Answer: b
Q. The set {0} is closed with respect to addition and
(a) Subtraction
(b) Division
(c) Multiplication
(d) None of these
Answer: c
Q. The set {1 , -1} is closed with respect to_________.
(a) Addition
(b) Multiplication
(c) Subtraction
(d) Division
Answer: b
Q. The Set {0, -1} is closed with respect Addition and multiplication.
(a) Subtraction
(b) Division
(c) Multiplication
(d) None of these
Answer: c
Q. If log₁₀x = 3 then x =
(a) 500
(b) 10/3
(c) 700
(d) 1000
Answer: d
Q. lf log₇x = 2 then x =
(a) 14
(b) 49
(c) 128
(d) 64
Answer: b
Q. The characteristic of log 19 is
(a) 0
(b) 10
(c) 2
(d) 1
Answer: d
Q. The characteristic of log 3.216 is
(a) 0
(b) 4
(c) 3
(d) 10
Answer: a
Q. Common logarithm has the base
(a) 2
(b) e
(c) π
(d) 10
Answer: d
Q. In scientific notation 0.00416 is written as
(a) 0.0416 x 10⁻¹
(b) 0.416 x 10⁻²
(c) 4.16 x 10⁻³
(d) 41.6 x 10⁻⁴
Answer: c
Q. In Standard form 2.35 x 10⁻³ is written as .
(a) 2.35
(b) 0.0235
(c) 0.00235
(d) 000235
Answer: b
Q. log5 + log8 - log3 =
(a) 5log 8/3
(b) 3log 40
(c) log 40/3
(d) 31og 5/8
Answer: c
Q. log50 can be written as.
(a) log2 + 21og5
(b) log2 + log15
(c) log2 + 5log2
(d) log2 + log5
Answer: a
Q. 3 is the characteristic in the logarithm of the number ________.
(a) 879.2
(b) 87.92
(c) 8.792
(d) 8792
Answer: d
Q. lf log₂8 = x then x =
(a) 2⁸
(b) 64
(c) 3²
(d) 3
Answer: d
Q. 5⁴ = 625 is written in the logarithmic form as
(a) log5 = 625
(b) log₅4 = 625
(c) log₅625 = 4
(d) log₄625 = 5
Answer: c
Q. If log₈₁ x = -3/4 then x =
(a) 27
(b) 1/3
(c) 1/9
(d) 1/27
Answer: d
Q. If antilog 3.8716 = 7440 and log x = 0.8716 then x =
(a) 74.40
(b) 7.440
(c) 744.0
(d) 7440
Answer: b
Q. If log 5 = 0.6990 and log 3 = 0.4771 then log 45 = .
(a) 1.6532
(b) 1.1761
(c) 1.8751
(d) 1.2219
Answer: a
Q. 3 log 2 - 2 log 5 in the simplified form is
(a) log 6/10
(b) log 9/12
(c) log 8/25
(d) log 25/8
Answer: c
Q. If logₓ 8l = 4 then x =
(a) 3
(b) 2
(c) -1
(d) 0
Answer: a
Q. If log₈ X = 2/3 then x
(a) 2
(b) 4
(c) 3
(d) -1
Answer: b
Q. 31og 2 + Iog 3 + log
(a) 12
(b) 18
(c) 24
(d) 30
Answer: c
Q. lf log₄ 64 = x, then x =
(a) 2
(b) -1
(c) 0
(d) 3
Answer: d
Q. If log₈₁ 9 = x, then x =
(a) 3
(b) 2
(c) 1
(d) -1/2
Answer: d
Q. if logₓ 49 = 2; x =
(a) 6
(b) 3
(c) 7
(d) 0
Answer: c
Q. If log35 + log36 = log3 X then x =
(a) - 30
(b) 10
(c) 20
(d) 5
Answer: a
Q. log3 + log6 - log2 = log
(a) 10
(b) 9
(c) 8
(d) 7
Answer: b
Q. logx 36 = 2 then x =
(a) 5
(b) 8
(c) 2
(d) 6
Answer: d
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