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ECAT Mathematics Online Test MCQs With Answers
Question # 1
sin (2
π
-
θ
)
Choose an answer
cos
θ
sin
θ
tan
θ
-sin
θ
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Question # 2
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Question # 3
Multiplicative inverse of 0 is
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0
1
±1
Does not exist
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Question # 4
The sum of even coefficient in the binomial expansion is
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2
n+1
2
n
2
n-1
2n
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Question # 5
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Question # 6
If #n = (n-5)2 + 5, then find #3 x #4.
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54
12
4
9
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Question # 7
Any horizontal line divided the plane into
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Left half plane
Upper and lower half planes
Infinite number of horizontal liens
None of these
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Question # 8
Which of the following function form 1 to itself are bi-jective
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F(x) = x + 3
F(x) = x
5
F(x) = 3x + 2
F(x) = x
2
+ x
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Question # 9
The negation of given number is a
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Binary operation
Unary operation
Relation
None of these
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Question # 10
The sides of a right angled triangle are in A.P The ratio of sides is
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1:2:3
3:4:5
2:3:4
5:8:3
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Question # 11
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An empty set
Universal set
A singleton set
None of these
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Question # 12
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Question # 13
{0} is a
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Empty set
Singleton set
Zero set
Null Set
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Question # 14
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none of these
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Question # 15
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K/6
2K
3K
6K
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Question # 16
Trival solution of homogeneous linear equation is
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(0, 0, 0)
(1, 2, 3)
(1, 3, 5)
a.b and c
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Question # 17
The set {1,-1,i,-i}
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Form a group w.r.t addition
Form a group w.r.t multiplication
Does not form a group w.r.t multiplication
Not closed under multiplication
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Question # 18
If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a
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Parabola
Circle
Hyperbola
Ellipse
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Question # 19
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Question # 20
The law of tangents is ______
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Question # 21
If a statement S(n) is true for n = i where i is some natural number and the truth of S(n) for n = k > i implies the truth of S(n) for n = k +1 then S(n) is true for all positive integers
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Question # 22
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Question # 23
sin 540° =
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0
1
2
3
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Question # 24
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0
1
none of these
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Question # 25
Domain of cos x is ______
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Question # 26
An indicated sum of terms of a sequence is represented by
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Sn
an
S(n)
{Sn}
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Question # 27
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0
1
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Question # 28
The equation of a line parallel to the tangent to the circle x
2
+ y
2
= 16 at the point (2, 3) and passing thro' the origin is
Choose an answer
2x + 3y = 0
2x - 3y = 0
3x + 2y = 0
3x - 2y = 0
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Question # 29
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Question # 30
If f (x) = |x|, then (0,0) is the
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Critical point
Inflection point
Stationary point
None of these
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Question # 31
Associative law of multiplication
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ab = ba
a(bc) = (ab) c
a(b+c) = ab + ac
(a + b)c = ac + bc
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