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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
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sec x tan x
cos
2
x
sin
2
x
sec
2
x
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Question # 2
A matrix in which the number of rows is not equal to the number of columns is called a
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Diagonal matrix
Rectangular matrix
Square matrix
Scalar matrix
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Question # 3
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Question # 4
The square matrix A is skew Hermitian when (A)'=
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A
A'
-A
A
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Question # 5
Two cards are drawn at random from a well shuffled pack of cards. The probability that at least one of them is a face card is
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3 / 17
5 / 17
7 / 17
9 / 17
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Question # 6
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Question # 7
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Question # 8
The vector i = [1,0] is called unit vector along:
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x-axis
y - axis
z- axis
Botha a and y-axis
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Question # 9
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Question # 10
Range of 3 sin x is ______
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[ -3, 3]
[-1, 1]
R
None of these
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Question # 11
2
π
+
θ
will have terminal side in Quad
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I
II
III
IV
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Question # 12
Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always
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Positive
Negative
Real
None of these
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Question # 13
f(x) = ax + b will be an identity function if
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a = 1 , b = 1
a = 1 , b = 0
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Question # 14
The length of the tangent from (2, 1) to the circle x
2
+ y
2
+ 4y + 3 = 0 is
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Question # 15
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Question # 16
The different of tan x is
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sec2 x
ln |sec x|
sec2 xdx
-cos ec2 x
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Question # 17
The period of|sin2x| is
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π/2
-π/2
π
π/3
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Question # 18
If the elevation of the sun is 30°, then the length of the shadow cast by a tower of 150 ft height is
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Question # 19
A combination lock on a suitcase has 3 wheels each labeled with nine digits from 1 to 9. If an opening combination is a particular sequence of three digits with no repeats, the probability of a person guessing the right combination is
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1 / 500
1 / 504
1 / 252
1 / 250
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Question # 20
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Associative law of multiplication
Commutative law of addition
Commutative law of multiplication
Associative law of addition
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Question # 21
The equation x2+ y2- 8x+ 6y+ 25= 0 represents
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A circle
A pair of straight lines
A point
None of these
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Question # 22
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2
6
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Question # 23
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Question # 24
tan(3π/2 +θ)=______;
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tanθ
cotθ
-tanθ
-cotθ
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Question # 25
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Question # 26
If f(x) = ax
2
, and a>0, then the lowest point on the parabola is called.
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Vertex of parabola
Co-ordinates of parabola
Roots of the equation
Coefficient of the equation
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Question # 27
E-radius corresponding to < B is
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Question # 28
x =r cosθ,y= sinθ are the parametric equations of
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Circle
Ellipse
Parabola
Hyoerbola
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Question # 29
Rank of matrix [1 3 5 0] is
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1
3
2
4
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Question # 30
The set of integer is
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Finite group
A group w.r.t addition
A group w.r.t multiplication
Not a group
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Question # 31
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sec 3x + c
- cosec 3x + c
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