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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
-2, 1, 4, 7,.... is ______
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Harmonic sequence
Arithmetic sequence
Geometric sequence
Arithmetic series
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Question # 2
The lotus of intersection of perpendicular tangents to the parabola y
2
= 4ax is:
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Axis of the parabola
Focal chord of the parabos
The tangent at vertex of the parabola
a directrix of the parabola
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Question # 3
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Question # 4
∀a,b ε R, ab = be is a
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Commutative law of multiplication
Closure law of multiplication
Associative law of multiplication
Multiplicative identity
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Question # 5
An equation in which at least one term contains dy/dx, d
2
y /dx
2
etc, is called.
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Differential equation
Initial condition
General solution
Singular equation
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Question # 6
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The law of sines
The law of tangents
The pythagorus theorem
None of these
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Question # 7
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The law of sines
The law of consines
The law of tangents
None of these
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Question # 8
The equation |x +4| = x has solution
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x = -2
x = 2
x = -4
x = 4
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Question # 9
The zero vector is
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[0, 0, 0]
[1, 1, 1]
[0, 1, 0]
[0, 0, 1]
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Question # 10
The distance between the points A(3,1) and B(-2,-4) is
Choose an answer
5
25
10
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Question # 11
Let P(x
1
, y
1
) and Q(x
2
, y
2
) be two points in the co-ordinate plane. Let d = distance between P and Q
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Question # 12
Choose an answer
8
9
10
11
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Question # 13
For two events A and B if P(A) = P (A/B) = 1/4 and P(B/A) = 1/2, then
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A is sub-event of B
A and B are mutually exclusive
A and B are independent and P(A/B) = 3/4
None of these
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Question # 14
The minimum value of the quadratic function f(x) = x2 +6x -2, is
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11
6
-11
13
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Question # 15
For each real number, there is a number which is its
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Negative
Possitive
Opposite
Similar
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Question # 16
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Question # 17
The line 3x - 4y = 0
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Is a tangent to the circle x
2
+ y
2
= 25
Is a normal to the circle x
2
+ y
2
=25
Does not meet the circle x
2
+ y
2
= 25
Does not pass thro' the origin
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Question # 18
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Question # 19
A function f(x) is said to be the periodic function if for all x in the domain of f, there exists a smallest positive number p such the f(x + p) = ______
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f(p)
f(x)
f(o)
None of these
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Question # 20
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Question # 21
In a triangle ABC, if angle A = 72° , angle B = 48° and c = 9 cm then Ĉ is
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69°
66°
60°
63°
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Question # 22
In quadratic equation y=ax
3
+bx+c, if b and c are both zero then the graph is
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Symmetric w.r.t.y-axis
Symmetric w.r.t.x-axis
Straight Line
Circle
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Question # 23
The equation of motion of a stone thrown vertically up wards is s = ut - 4.9t
2
the maximum height attained by it =
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Question # 24
The line y= 4x +c touches the hyperbola x2- y2 =1 if and only if
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c =±√2
c =0
c=±√17
c=±√15
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Question # 25
The 26th term of the A.P -2,-4,10,.............is
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136
-136
148
-148
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Question # 26
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Question # 27
A conjunction of two statement p and q is true only if
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p is true
q is true
Both p and q are true
both p and q are false
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Question # 28
Power set of difference set N-W is
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Empty set
Infinite set
Singleton set
{0,∅}
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Question # 29
The order of the matrix [1 2 3] is
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1 x 1
3 x 3
3 x 1
1 x 3
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Question # 30
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One-to-one and onto
One-to-one but not on to
Onto but not one-to-one
Neither one-to-one nor onto
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Question # 31
Which of the following us a scalar
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displacement
velocity
acceleration
density
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