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MATH MCQ’S 10
TH
CLASS
Date: 28/03/
AL-ILM ACADEMY
Time Allowed : 2:00 Hour SECTION A
- The union of two non-collinear rays, which have common end point is called a) An angle b) A degree c) A minute d) A radian
- Mean is affected by change in a) Value b) Ratio c) Origin
- A set of Q = {
a
b
| a, b ∈ Z ⋀ b ≠ 0 } is called a set of a) Whole number b) Natural number c) Irrational number d) Rational number
- The different number of ways to describe a set are a) 1 b) 2 c) 3 d) 4
- Secθ cotθθ a) sinθ b)
cos θ
c)
sin θ
d)
sin θ
cos θ
- If a : b = x : y, then alternando property is : a)
a
x
b
y
b)
a
b
x
y
c)
a + b
b
x + y
y
INSTRUCTIONS
Attempt this section on Bubble Sheet only.
Use Black or blue point or marker for shading only one for correct option of a question.
No mark will be awarded for cutting, overwriting, and multiple shading.
d)
a − b
x
x − y
y
- cosec^2 θ – cotθ^2 θ = a) - b) 1 c) 0 d) tθanθθ
- The number of terms in a standard quadratic equation ax^2 + bx + c = 0 is a) 1 b) 2 c) 3 d) 4
- In a continued proportion a : b :: c : d, ac = b^2 , b is said to be a) Third b) Fourth c) Means d) None of these 10.In a continued proportion a : b :: c : d, c is said to be _________ proportional to a and b a) Third b) Fourth c) Means d) None of these 11.Find x in proportion 4 : x :: 5 : 15 a)
b)
c)
d) 12 12.If a : b = x : y , then invertendo property is : a)
a
x
b
y
b)
a
b
x
y
c)
a + b
b
x + y
y
d)
b
a
y
x
13.The number of method to solve a quadratic equation is a) 1 b) 2 c) 3 d) 4 14.In a ratio x : y, y is called a) Relation b) Antecedent c) Consequent d) None of these 15.The measure which determines middlemost observations in a data set is called a) Mode b) Median c) Harmonic mean
b) 630 ‘ c) 1200 ‘ d) 3600 ‘ 27.If b^2 – 4ac < 0 , then the roots of ax^2 + bx + c = 0 are a) Irrational b) Rational c) Imaginary d) None of these 28.If b^2 – 4ac > 0 , but not a perfect square then roots of ax^2 + bx + c = 0 are a) Imaginary b) Rational c) Irrational d) None of these
is equal to a)
b)
c)
d)
30.The mean of the squared deviations of xi = ( i = 1, 2, ………, n ) observations from their arithmetic mean is called a) Variances b) Standard deviation c) Range 31.If α, β are the roots of equation px^2 + qx + c = 0, then sum of roots 2α and 2β is a)
− q
p
b)
r
p
c)
− 2 q
p
d)
q
− 2 p
32.Standard form of quadratic equation is a) bx + c = 0 , b ≠ 0 b) ax^2 + bx + c = 0 , a ≠ 0 c) ax^2 = bx , a ≠ 0 d) ax^2 = 0 , a ≠ 0 33.If α, β are the roots of equation x^2 - x - 1 = 0, then sum of roots 2α and 2β is a) - b) 2 c) 4 d) - 34.The positive square root of mean of the squared deviations of Xi = ( i = 1, 2, ……….. ,n ) observations from their arithmetic mean is called a) Harmonic mean b) Range c) Standard deviation
35.The identity ( 5x + 4 )^2 = 25x^2 + 40x + 16 is true for a) One value of x b) Two value of x c) All value of x d) None value of these 36.A function of the form f(x) =
N ( x )
D ( x )
, with D(x)≠0, where N(x) and D(x) are polynomials in x is called a) An identity b) An equation c) A fraction d) None of these 37.The nature of equation ax2 + bx + c = 0 is determined by a) Sum of roots b) Product of roots c) Synthetic division d) Discriminant 38.A fraction in which the degree of numerator is less than the degree is less than the degree of the denominator is called a) An equation b) An improper fraction c) An identity d) A proper fraction 39.In a ratio a : b, a is called a) Relation b) Antecedent c) Consequent d) None of these 40.In a proportion a : b :: c : d, a and b are called, a) Means b) Extremes c) Third proportional d) None of these 41.In a proportion a : b :: c : d, b and c are called a) Means b) Extreams c) Fourth proportional d) None of these 42.if y^2 ∝
x 3
, then a) y^2 =
k
x 3
b) y^2 =
x 3
c) y^2 = x^2 d) y^2 = kx^3
x 3 + 1
( x + 2 )( x − 1 )
is a) A proper fraction b) An improper fraction c) An identity d) A constant term
53.A fraction in which the degree of the numerator is greater or equal to the degree of or denominator is called a) A proper fraction b) An improper fraction c) An equation d) Algebraic relation 54.The set { x | x ∈ W ⋀ ≤101 } a) Infinite set b) Subset c) Null set d) Finite set 55.Product of cube root of unity is a) 0 b) 1 c) - d) 3 56.Partial fraction of
x − 2
( x + 2 )( x − 1 )
are the form a)
A
x − 1
B
x + 2
b)
Ax
x − 1
B
x + 2
c)
A
x − 1
Bx + C
x + 2
d)
Ax + B
x − 1
C
x + 2
57.If number of elements in set A is 3 and in set B is 2 then number of binary relations in A x B is a) 23 b) 26 c) 28 d) 22 58.Partial fraction of
x + 2
( x + 1 ) ( x 2 + 2 )
are the form a)
A
x + 1
B
x 2 + 2
b)
A
x + 1
Bx + C
x 2 + 2
c)
Ax + B
x + 1
C
x 2 + 2
d)
A
x + 1
Bx
x 2 + 2
59.If A ⊆ B, then A ⋃ B is equal to a) A b) B c) ∅ d) None of these 60.the third proportional of x^2 and y^2 is : a)
y 2
x 2
b) x^2 y^2
c)
y 4
x 2
d)
y 2
x 4
- Partial fractions of
x 2 + 1
( x + 1 ) ( x − 1 )
a)
A
x + 1
B
x − 1
b) 1 +^
A
x + 1
Bx + C
x − 1
c) 1 +^
A
x + 1
B
x − 1
d)
Ax + B
x + 1
C
x − 1
62.A collection of well-defined object is called a) Subset b) Power set c) Set d) None of these 63.A set with no element is called a) Subset b) Empty set c) Singleton set d) Super set 64.The set having only one element is called a) Null set b) Power set c) Singleton set d) Subset 65.Power set of an empty set is a) ∅ b) { a } c) { ∅, { a } } d) { ∅ }
radian = a) 115 ° b) 135° c) 150° d) 30° 67.The number of element in power set in { 1, 2, 3 } is a) 4 b) 6 c) 8 d) 9 68.In a cumulative frequency polygon frequencies are plotted against a) Midpoints b) Upper class boundaries c) Class limits 69.Arithmetic mean is a measure that determines a value of the variable under study by dividing the sum of all values of the variable by their a) Number b) Group
c) Less than cumulative frequency distribution 82.A deviation is defined as a difference of any value of the variable from a a) Constant b) Histogram c) Sum 83.The value obtained by reciprocating the mean of the reciprocal of X 1 , X 2 , X 3 , … … … … Xn observations is called a) Geometric mean b) Median c) Harmonic mean 84.If α , β are the roots of equation 7x^2 –x + 4 = 0 , then αβ is a)
b)
c)
d)
85.Root of equation 2x^2 –5x + 2= 0 are a) irrational b) imaginary c) rational d) none of these 86.If u ∝ v^2 , then a) u = v^2 b) u = kv^2 c) uv^2 = k d) uv^2 = 1 87.Cube root of -1 are
a) -1 , - ω , - ω^2
b) -1 , ω , - ω^2
c) -1 , - ω , - ω^2
d) 1 , - ω , - ω^2
88.α^2 + β^2 is equal to a) α^2 - β^2 b)
2 –^
2 c) (α + β)^2 - 2αβ d) α + β 89.Two square roots of unity are a) 1, -
b) 1, ω
c) 1, - ω
d) ω ,ω^2
90.Root of equation 4x^2 + 4x +1 = 0 are a) Real, equal b) Real, unequal c) Imaginary
2 x + 1
( x + 1 ) ( x − 1 )
is : a) An improper fraction b) An equation
c) A proper fraction d) None of these 92.( x + 3 )^2 = x^2 + 6x + 9 is a) A linear equation b) An equation c) An identity d) None of these e) Irrational 93.if tan θ = √3, then θ is equal tθo a) 9 0° b) 45 ° c) 60° d) 30°
1 + sin θ
1 −sin θ
a) 2 sec^2 θ b) 2 cos^2 θ c) sec^2 θ d) cosθ 95.A⋃(B⋂C) is equal to a) (A⋃B) ⋂(B⋃C) b) A⋂(B⋂C) c) (A⋂B)⋃(B⋂C) d) A⋃(B⋃C) 96.The quadratic formula is
a) x =
− b ± (^) √ b 2
− 4 ac
2 a
b) x =
b ± √ b 2
− 4 ac
2 a
c) x =
− b ± (^) √ b 2
+ 4 ac
2 a
d) x =
b ± (^) √ b 2
− 4 ac
2 a
97.Two linear factors of x^2 -15x +56 are a) ( x – 7 ) and ( x + 8 ) b) ( x + 7 ) and ( x + 8 ) c) ( x – 7 ) and ( x – 8 ) d) ( x + 7 ) and ( x + 8 ) 98.If A ⊆ B, then A ⋂ B is equal to a) A b) B c) ∅ d) None of these 99.The Range of R = {( 1,3 ), ( 2,2 ), ( 3,1 ), ( 4,4 )} is a) { 1,2,4 } b) { 3,2,4 } c) { 1,2,3,4 } d) { 1,3,4 }
2 cosec 45 °
a)
