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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
If we have a statement "if p then q" then q is called
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Conclusion
Implication
Unknown
Hypothesis
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Question # 2
The Domain of y = sin x is ______
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Set of real numbers
Rational
Irrational no.
None of above
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Question # 3
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Question # 4
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11
61
1
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Question # 5
If C is the mid point of AB and P is any point outside AB, then
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Question # 6
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sec 5x + c
- sec 5x + c
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Question # 7
The end points of the major axis of the ellipse are called its
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Foci
Vertices
Co - vertices
None of these
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Question # 8
f(x) = 3x/x
2
+ 1 is:
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an even function
an odd function
an even and implicit function
neither even nor a odd
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Question # 9
Period of sec x is ______
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Question # 10
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Question # 11
Tan 360° = _______
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-1
0
1
Undefined
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Question # 12
If b
2
- 4ac is positive then the roots of the equation are
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Real
Imaginary
Positive
Negative
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Question # 13
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Does not exist because f is unbounded
Is not attained even though f is bounded
Is equal to 1
Is equal to -1
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Question # 14
The distance of the point (-2 , -3) from x-axis is
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2
-3
3
5
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Question # 15
probability of a certain event is
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0
-1
1
∞
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Question # 16
The ellipse and hyperbola are called
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Concentric conics
Central conics
Both a b
None
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Question # 17
The roots of ax2 + bx + c = 0 are always unequal if
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b2 - 4ac = 0
b2- 4ac ≠ 0
b2- 4ac > 0
b2- 4ac ≥ 0
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Question # 18
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Question # 19
If the vector 2i + 4j - 7k and 2i + 6j + xk are perpendicular then x = ?
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0
2
4
7
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Question # 20
tan
θ
/2
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Question # 21
Which of the following function form 1 to itself are bi-jective
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F(x) = x + 3
F(x) = x
5
F(x) = 3x + 2
F(x) = x
2
+ x
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Question # 22
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n
C
r
n+1
C
r+1
n
C
r+1
None
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Question # 23
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Question # 24
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Question # 25
The axis of the parabola x
2
= 4ay is:
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y = 0
x = 0
x = -a
y = a
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Question # 26
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 # 27
Let the equation ax
2
- bx + c = 0 have distinct real roots both lying in the open interval (0, 1) where a, b, c are given to be positive integers. Then the value of the ordered triplet (a, b, c) can be
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(5, 3, 1)
(4, 3, 2)
(5, 5, 1)
(6, 4, 1)
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Question # 28
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Question # 29
If a, b, c, d, e, f are in A.P.,then e-c is equal to
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2(c - a)
2(f - d)
2(d - c)
d - c
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Question # 30
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Question # 31
If the sum of even coefficients in the expansion of (1+x)n is 128 then
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n=7
n=9
n=8
None
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