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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Symmetric property
Cancellation property w.r.t. multiplication
Reflexive property
Transitive property
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Question # 2
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0
1
-1
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Question # 3
Root of the equation 3
x-1
+ 3
1-x
= is
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2
1
0
-1
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Question # 4
A circle which touches one side of a triangle extermally and the other two sides produced is called
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In-circle
Circumcircle
e-circle
Point circle
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Question # 5
The horizontal distance between the two towers is 60 m. the angular elevation of the top of the taller tower as seen from the top of the shorter one is 30°. If the height of the taller tower is 150 m, the height of the shorter one is
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116 m
200 m
216 m
None of these
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Question # 6
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Question # 7
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Question # 8
If n(A) = n then n(P(A)) is
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2n
n
2
n/2
2
n
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Question # 9
If x - 2 is a factor of ax2- 12x + a = 2a, then a = ______
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-5
5
0
1
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Question # 10
The distance between the points A(3,1) and B(-2,-4) is
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5
25
10
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Question # 11
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 # 12
Which of the following has the same value as i
113
?
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i
-1
-i
1
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Question # 13
The n numbers A
1
,A
2
,A
3
,.....A
n
are called an arithmetic means between a and b if a.A
1
,A
2
,A
3
.....A
n
, b is ______
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An arithmetic series
An arithmetic sequence
A geometric sequence
A harmonic sequence
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Question # 14
Period of cosec x is ______
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Question # 15
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-2x
3
2x
-3
-2x
-3
2x
3
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Question # 16
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Question # 17
pth term of an H.P. is qr and qth term is pr then the rth term of the H.P. is
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pqr
1
pq
pqr
2
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Question # 18
A function F(x) is called even if
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F(x) = F (-x)
F(x) = F(-x)
F(x) = -F(x)
2F(x) = 0
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Question # 19
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Question # 20
The roots of the equation 2
2x
- 10.2
x
+ 16 = 0 are
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2, 8
1, 3
1, 8
2, 3
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Question # 21
The central angle of an arc of a circle whose length is equal to the radius of the circle is called the
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degree
radian
minute
second
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Question # 22
Every set is an improper subset of
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Empty set
Equivalent set
Itself
Singleton set
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Question # 23
A line joining two distinct points on a parabola is called
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Axis
Directrix
Chord
Tangent
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Question # 24
A point of a solution region where two of its boundary lines intersect, is called
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Boundary
Inequality
Half plane
Vertex
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Question # 25
Every prime number is also
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Rational number
Even number
Irrational number
Multiple of two numbers
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Question # 26
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0
1
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Question # 27
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0
-2
1
4
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Question # 28
The triangle that does not have a right angle is called.
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Isosceles triangle
right angle triangle
equivalent triangle
oblique triangle
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Question # 29
If a statement S(n) is true for n = 1 and the truth of S(n) for n = k implies the truth of S(n) for = k + 1, then S(n) is true for all
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Real numbers n
Integers n
Positive integers n
None of these
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Question # 30
The solution set of x
2
- 5x + 6 = 0 is
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{1, 3}
{2, 3}
{1, 2}
None of these
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Question # 31
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