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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
∫sin(ax+b) dx is equal to:
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1/2a cos (ax + b)
-1/a cos (ax +b)
1/a cos (ax +b)
1/a ln (ax + b)
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Question # 4
∀x,y∈R and x> 0 , y>0, if x > y
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None of these
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Question # 5
If the lower limit of an integral is a constant and the upper limit is a variable, then the integral is a
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Constant function
Variable value
Function of upper limit
All
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Question # 6
The term involving x
4
in the expansion (3-2x) is
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217x
4
15120x
4
313x
4
-25x
4
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Question # 7
The point _________ is in the solution of the inequality 2x + 3y < 5
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(1,1)
(2,2)
(0,1)
(0,2)
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Question # 8
A square matrix A = [aij] is upper triangular when
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cij = 0
bij = 0
aij = 0 for all i > j
dij = 0
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Question # 9
f(x) = sin x + cos
2
x is
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trigonometric function
algebraic function
exponential function
logarithmic function
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Question # 10
The roots of (x - a)(x - b) = ab x2 are always
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Real
Depends upon a
Depends upon b
Depends upon a and b
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Question # 11
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0
1
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Question # 12
What is the period of 6 sin x=?
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π
-π
π/2
2π
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Question # 13
The geometrical representation of a linear function is
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Circle
Parabola
Straight lie
None of these
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Question # 14
xy= 2 is:
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a constant function
an identity function
an improper function
implicit function
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Question # 15
A sequence is a functions whose domain is a subset of the set of
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Natural numbers
Real numbers
Whole numbers
Rational numbers
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Question # 16
Multiplicative inverse of 0 is
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0
1
+-1
Does not exist
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Question # 17
The area of the rhombus whose vertices are A(0,0),B(2,1),C(3,3),D(1,2) is
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36 square units
3 square units
6 square units
18 square units
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Question # 18
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Question # 19
The third term of a G.P. is 4, The product of first five terms is
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43
45
46
None of these
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Question # 20
If e,e′ be the eccentricities of two conics S=0 and S′ =0 and if e2 +e′2 =3 then both S and S′ can be
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Hyperbola
Parabolas
Ellipses
None of these
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Question # 21
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Question # 22
The area between the x-axis and the curve y = x
2
+ 1 from x = 1 to 2 is:
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15/6
15/4
10/4
10/3
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Question # 23
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1
-1
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Question # 24
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Question # 25
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Question # 26
x = secθ,y = tanθ are the parametric equations of
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Circle
Hyperbola
Ellipse
parabola
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Question # 27
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0
1
-A
-1
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Question # 28
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Closure law of addition
Associative law of addition
Commutative law of multiplication
Associative law of multiplication
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Question # 29
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Question # 30
Express the perimeter P of square as a function of its area A?
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P = 4√A
P =√A
P = 2A
P =π√A
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Question # 31
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