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Online Tests
ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
The exact value of cos-1 (0) is
Choose an answer
π/2
-π/2
3π
π-π/6
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Question # 2
The square matrix A is skew-symmetric when At =
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-B
-C
-A
-D
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Question # 3
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Question # 4
If B⊆ A, then complement of B in A is = -----------------------
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A-B
A∩B
B-A
A∪B
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Question # 5
If eccentricity of ellipse becomes zero then it takes the form of
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A parabola
A circle
A straight line
None of these
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Question # 6
The mid point of the line segment joining the points (4,0) and (0,4) is
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(4,4)
(2,2)
(-4,-4)
(-2,-2)
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Question # 7
Domain of cos x is ______
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Question # 8
If a (p + q)
2
+ bpq +c = 0 and a (p + r)
2
+ 2 bpr + c = 0, then qr equals
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p
2
+ c/a
p
2
+ a/c
p
2
+ c/a
p
2
- c/a
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Question # 9
If one root of the equation ix
2
- 2(i + 1) x +(2 - i) = 0 is 2 - i, then the other root is
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-i
2 + i
i
2 - i
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Question # 10
If P = {x/x = p/q where p,q∈ Z and q≠ 0}, then P is the set of
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Irrational numbers
Even numbers
Rational numbers
Whole numbers
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Question # 11
The set {1,-1, i, -i} form a group under
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Addition
Multiplication
Subtraction
None
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Question # 12
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parallel vectors
perpendicular vectors
concurrent vectors
collinear vectors
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Question # 13
u,v,wand u x (v.w) are
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Equal
Parallel
Additive immense of each other
Meaningless
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Question # 14
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I and
I
I quadrants
I
I and
I
I
I quadrants
I
I and
I
V
quadrants
none of these
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Question # 15
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Question # 16
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0
1
13
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Question # 17
If the circle x
2
+ y
2
+ 2gx +2fy + c = 0 passes through the origin then
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c = 0
c = -1
c = -2
c = 1
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Question # 18
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Question # 19
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Question # 20
For any two sets A and, A ⊆ B if
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x ∈ A ⇒ x ∈ B
x ∉ A ⇒ x ∉ B
x ∈ A ⇒ x ∉ B
None of these
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Question # 21
A sequence is a function whose domain is
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N
Subset of N
R
None of these
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Question # 22
The distance between the points A(3,1) and B(-2,-4) is
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5
25
10
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Question # 23
How many necklaces can be made from 6 beads of different colours?
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120
60
24
15
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Question # 24
Express as a sum or difference: 2 sin 5
θ
cos
θ
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cos 4
θ
- cos 2
θ
sin 4
θ
+ sin 2
θ
cos 4
θ
+ cos 2
θ
sin 4
θ
- sin 2
θ
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Question # 25
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tan 3x + c
cot 3x + c
- cot 3x + c
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Question # 26
If cos 20°=K and cos x=2 k
2
-1, then the possible values of x between 0° and 360° are
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140°
50° and 140°
50° and 130°
40° and 320°
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Question # 27
If n is any positive integer then 2
n
> 2(n + 1) is true for all
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Question # 28
In one hour, the hour hand of a clock turns through
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Question # 29
In a triangle ABC, if angle A = 72° , angle B = 48° and c = 9 cm then Ĉ is
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69°
66°
60°
63°
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Question # 30
The fifth term of (a+2x3)17 is
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4013 x3a13
2208a13 x12
223x7a18
38080a13 x12
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Question # 31
A square matrix A = [aij] is lower triangular matrix when:
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aij = 0 for all i < j
bij = 0
cij = 0
dij =0
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