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Online Tests
ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
Cos (cos4π/3)=
Choose an answer
π/2
π/3
2π/3
-π/3
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Question # 2
A point of a solution region where two of its boundary lines intersect, is called
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Boundary
Inequality
Half plane
Vertex
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Question # 3
The element range of sequence are called
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Series
progression
Members
Terms
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Question # 4
If T = {2,4,6,8,10,12}, then
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T = (First six natural numbers)
T = (First six odd numbers)
T = (First six real numbers)
T = ( First six even numbers)
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Question # 5
pth term of an H.P. is qr and qth term is pr then the rth term of the H.P. is
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pqr
1
pq
pqr
2
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Question # 6
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Question # 7
IfΔABC is right, law of cosine reduce to
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Law of sine
Law of tangent
Phthogorous theorem
Hero's formula
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Question # 8
If the flag-staff 6 meters high placed on the top of a tower. Makes the shadow 2√3 m on the ground, then the angle of elevation of the sun is
Choose an answer
30
ο
35
ο
45
ο
60
ο
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Question # 9
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Question # 10
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Question # 11
O is ______
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A positive integer
A negative integer
A natural number
An integer
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Question # 12
There may be ______ feasible solution in the feasible region
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Infinite
Finite
Defined
None of above
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Question # 13
The distance between the points A(3,1) and B(-2,-4) is
Choose an answer
5
25
10
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Question # 14
If 3x
4
+ 4x
3
+ x - 5 is divided by x + 1, then the reminder is
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0
7
-7
5
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Question # 15
The positive value of k for which the equation x2 + kx + 64 = 0 has one of the roots 0
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4
64
8
All values of k
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Question # 16
What is the period of tan 4/3 x =?
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π/4
4π/3
7π/4
3π/4
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Question # 17
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sin h x
cos h x
tan h x
cot h x
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Question # 18
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none of these
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Question # 19
If S is a sample space and event set E =Φ then P(E) is
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>0
1
<1
0
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Question # 20
A sequence having no last term is called
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arithmetic sequence
Geometric sequence
Finite sequence
Infinite sequence
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Question # 21
If x - 2 is a factor of ax2- 12x + a = 2a, then a = ______
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-5
5
0
1
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Question # 22
The modulus of a vector
i
-
i
+ k is:
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√3
1
√2
∞
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Question # 23
The vertex of the graph of the quadratic function f(x) =-x2+6x+1,is
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(-3,10)
(-3,-10)
(3,10)
(3,-10)
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Question # 24
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Question # 25
The domain of y = cos-1 x is
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-∞ < x < ∞
-1≤ x≤ 1
x≤ -1 or x ≥ 1
None of these
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Question # 26
sin (
α
+
β
) + sin (
α
-
β
)
Choose an answer
2 sin
α
cos
β
sin (2
α
β)
sin
α
cos
α
None of these
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Question # 27
Which of the following has the same value as i113
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i
-1
-i
1
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Question # 28
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Question # 29
Additive inverse of - a - b is
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a
-a + b
a - b
a + b
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Question # 30
∀a,b,c∈R and c>0,then
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a>b ⇒ ac < bc
a>b ⇒ ac > bc
a<b ⇒ ac > bc
None of these
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Question # 31
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quadratic function
constant function
linear function
exponential function
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Question # 32
cos
4
θ
- sin
4
θ
=
Choose an answer
cos4
θ
cos2
θ
-sin
θ
sin2
θ
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Question # 33
In one hour the minute hand of a clock turns through
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Question # 34
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Symmetric
Skew-symmetric
Hermitian
Skew hermitian
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