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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
The area of a sector with central angle of 0.5 radians in a circular region whose radius is 2m is
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Question # 2
If A and B are two sets then any subset R of B x A is called
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relation on A
relation on B
relation from A to B
relation from B to A
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Question # 3
Φ set is the _______ of all sets
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Subset
Union
Universal
Intersection
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Question # 4
The number of real tangents that can be drawn to the ellipse 3x
2
+ 5y
2
= 32 passing thro. (3, 5) is
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0
1
2
Infinite
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Question # 5
In a quadratic equation with leading co-efficient 1, a student reads the co-obtain the roots as - 15 and -4. The correct roots are
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6, 10
-6, -10
8, 8
-8, -8
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Question # 6
The value of x and y when (x + iy)2 = 5 - 4i
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x = 2, y = -1
x = -2, y = 1
x = 2, y = -i
x = 2, y = 2
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Question # 7
The negative square root of 9 can be written as:
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-√9
√9
√18
-√18
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Question # 8
Tan(
α
-
β
)=
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Question # 9
cot(3π/2 -θ)=______;
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tanθ
cotθ
-tanθ
-cotθ
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Question # 10
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G.P
H.P.
A.P.
No particular sequence
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Question # 11
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Question # 12
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Question # 13
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0
90°
180°
360°
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Question # 14
To express a single rational fraction as a sum of two or more single rational fractions which are called
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improper fractions
Partial fractions
mixed form
Polynomials
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Question # 15
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Question # 16
cot
θ
= sin 2
θ
if
θ
=
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Question # 17
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A = B
B = C
A = C
None of these
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Question # 18
Domain of tangent function is
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Question # 19
A function of the form p(x)/Q(x) is called:
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Rational function
Logarithmic function
Exponential function
Hyperbolic function
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Question # 20
O is ______
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A positive integer
A negative integer
A natural number
An integer
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Question # 21
The null vector is regarded to be perpendicular to
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Every vector
In some cases
Both a b
None
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Question # 22
The first three terms in the expansion of (1 + x)
-2
are ______
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1 - 2x + 3x
2
1 - 2x - 3x
2
1 + 2x + 3x
2
-2 -2x + 3x
2
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Question # 23
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8
4
64
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Question # 24
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Question # 25
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n < 8/5
n < 5/8
|n| < 8/5
|n|>8/5
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Question # 26
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0
3
9
-3
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Question # 27
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Question # 28
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Trichotomy property
Additive property of inequality
Transitive property
Multiplicative property
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Question # 29
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0
U
u/2
log u
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Question # 30
Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all the four cars of the same suit is
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44/4165
22/4165
11/4165
None of these
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Question # 31
Total number of subsets that can be formed out of the set {a,b,c} is
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1
4
8
12
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