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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
If the roots of ax
2
+ bx + c = 0 (a > 0) be greater than unity, then
Choose an answer
a + b + c = 0
a + b + c > 0
a + b + c < 0
None of these
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Question # 2
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Question # 3
The transpose of a zero matrix is a ______
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Column matrix
Zero matrix
Row matrix
Scalar matrix
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Question # 4
At a point 15 meters away from the base of a 15 meters high house, the angle of elevation of the top is
Choose an answer
90°
60°
30°
45°
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Question # 5
If sin A = cos A, 0°<A<90° then A is equal to
Choose an answer
1
1/2
0
None of these
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Question # 6
The ratio in which the line y- x+ 2 =0 divides the line joining (3,-1) and (8,9) is
Choose an answer
2:3
-2:3
3:2
-3:2
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Question # 7
The set (Z, +) forms a group
Choose an answer
Forms a group w.r.t addition
Forms a group w.r.t multiplication
Non commutative group w.r.t multiplication
Doesn't form a group
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Question # 8
An infinite arithmetic series is always
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Convergent
Oscillatory
Divergent
None of these
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Question # 9
Second derivative of y = x
9
+ 10x
2
+ 2x - 1 at x = 0 is
Choose an answer
10
20
12
1
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Question # 10
If n is not natural number, then the expansion (1 + x)
n
is valid for
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Question # 11
A box contains 10 red 30 white and 20 black marbles When a marble is drawn at random the probability that it is either red or white is
Choose an answer
1/6
1/3
1/2
2/3
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Question # 12
If we have a statement "if p then q" then q is called
Choose an answer
Conclusion
Implication
Unknown
Hypothesis
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Question # 13
The graph of y> 0 is the upper - half of:
Choose an answer
y-axis
x-axis
1st and 4th quandrant
2nd and 3rd quadrant
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Question # 14
Φ
set is the ______ of all sets?
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Subset
Union
Universal
Intersection
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Question # 15
The span of a standard parabola depends upon
Choose an answer
x
a
y
y2
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Question # 16
A Series which does not coverage to a Unique sum is called
Choose an answer
Harmonic Series
Oscillatroy Series
Arithmetic Series
None of these
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Question # 17
The equation of the circle wit (-1, 1) and radius 2 is
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Question # 18
For two vector a and b, a+b = _______
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a b
b+a
b-a
None
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Question # 19
Choose an answer
none of these
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Question # 20
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Question # 21
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28 / 81
28 / 243
81 / 28
243 / 82
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Question # 22
i
3
=
Choose an answer
-1
i
-i
1
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Question # 23
The two lines y = 2x and x =2y are
Choose an answer
Parallel
Perpendicular
Equally inclined with axes
Congruent
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Question # 24
If five triangles are constructed having sides of the lengths indicated below, the triangle that will NOT be a right triangle is
Choose an answer
8, 15, 17
3, 4, 5
12, 15, 18
5, 12, 13
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Question # 25
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2
4
3
16
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Question # 26
The centre of the circle x2+y2 -2fx-2gy+x=0 is
Choose an answer
(-g,-f)
(g,f)
(f,g)
(-f,-g)
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Question # 27
θ and 2kπ+θ are the ________ angles
Choose an answer
Quadrantal angles
Coterminal
Allied
None
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Question # 28
The cube roots of 8 are
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Question # 29
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N
r
2r
π
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Question # 30
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Question # 31
The value of sin
-1
5/13 is equal to
Choose an answer
Cos 5/13
Tan
-1
5/12
cos
-1
5/12
2 cos
-1
4/5
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