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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
A bag contains 5 white, 7 red and 5 black balls. If four balls are drawn one by one with replacement, the probability that none is white is
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(11/16)
2
(5/16)
2
(11/16)
4
(5/16)
4
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Question # 2
The period of sin x/2 = Cos x/3 is
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2p
12p
13p
7p
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Question # 3
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Question # 4
A point where two of its boundary lines intersect is called
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Corner point
Feasible point
Vertex
Feasible solution
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Question # 5
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 6
The logic in which every statement is regarded as true or false and no other possibility is called
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Aristotelian login
Inductive logic
Non-Aristotelian logic
None of these
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Question # 7
Every relation, which can be represented by a linear equation in two variables, represents a
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Relation
Cartesian product
Function
Graph
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Question # 8
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A
B
A'
None of these
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Question # 9
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Question # 10
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Question # 11
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45°
30°
75°
60°
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Question # 12
If the angle between two vectors with magnitude 2 and 15 is 30
°
then their scalar product is
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15
30
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Question # 13
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A
B
U
None of these
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Question # 14
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all
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Question # 15
The corner point of the boundary lines, x- 2x
x+2y=10 is:
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(8,1)
(1,8)
(6,10)
(3,5)
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Question # 16
The set { {a, b} } is
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Infinite set
Singleton set
Two points set
Empty set
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Question # 17
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Question # 18
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[0,1[
[0, 1]
]0, 1[
None of these
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Question # 19
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Question # 20
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Question # 21
If the domain of sequence is finite set then the sequence is called
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geometric sequence
infinite sequence
finite sequence
arithmetic sequence
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Question # 22
The distance of the point (-2 , 3) from y-axis is
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2
-2
3
1
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Question # 23
A card is drawn from a pack of cards numbered 2 to 53. the probability that the number on the card is prime number less than 20 is
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2 / 13
4 / 13
5 / 13
8 / 13
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Question # 24
The property used in -3 <-2 ⇒0 <1
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Commutative property
Additive property of inequality
Additive inverse
Additive identity
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Question # 25
Any horizontal line divided the plane into
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Left half plane
Upper and lower half planes
Infinite number of horizontal liens
None of these
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Question # 26
Intersection of two parabolas
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parabola
Two points
Four points
Hyperobla
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Question # 27
A square matrix A for which A
t
= -A is called a
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Column matrix
Symmetric matrix
Skew-symmetric matrix
Row matrix
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Question # 28
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Question # 29
A line joining two distinct points on a parabola is called a ______ of the parabola.
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Chord
Tangent
Lust rectum
directrix
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Question # 30
The constant distance of all points of the circle from its centre is called the
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Radius of the circle
Secant of the circle
Chord of the circle
Diameter of the circle
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Question # 31
The graph of y < 2 is the
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Left half plane
upper half plane
Right half plane
Lower half plane
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