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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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5x
4 + c
1/6 x
6
+ c
5x
2
+ c
1/5 x
6
+ c
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Question # 2
A = [3] is a/an
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Square matrix
Scalar matrix
Diagonal matrix
Identity matrix
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Question # 3
The set of the first elements of the ordered pairs forming a relation is called its
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Function on B
Range
Domain
A into B
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Question # 4
The expansion of (1 - 3x)
-1
is valid if
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| x | < 1
| x | < 3
| x | < 1/3
None of these
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Question # 5
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Question # 6
If 2 tan
1
(cos x) = tan
-1
(cosec
2
x), then x is equal to
Choose an answer
π
/ 3
π
/ 2
π
/ 6
π
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Question # 7
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Question # 8
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Question # 9
If for the matrix A, A
5
= I, then A
-1
=
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A
2
A
3
A
None of above
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Question # 10
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Question # 11
The centre of the conic x2 +16x +4y2 -16y +76 =0 is
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(0,10)
(-8,4)
(-8,-2)
(1,1)
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Question # 12
The ortho center of triangle whose vertices are (0,0)(3,0)(0,4) is
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(0,0)
(1,1)
(2,2)
(3,3)
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Question # 13
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Commutative property of addition
Closure property of addition
Additive inverse
Associative property w.r.t. to addition
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Question # 14
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Question # 15
Three integers are chosen at random from the first 20 integers. Then probability that their product is even, is
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2 / 19
3 / 29
17 / 19
4 / 19
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Question # 16
Probability of an impossible event is
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0
-1
1
∞
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Question # 17
The tangents drawn from the point P to a circle are imaginary if
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P is on the circle
P is inside the circle
P is outside the circle
none of these
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Question # 18
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2
1
5
0
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Question # 19
If a set S contains n elements then P (S) has ........ number of elements
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2
n
2
n2
2.n
n
2
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Question # 20
The formula an = arn-1represents
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nth term of G.P
Sum of the first n terms
G.M between a and b
None of these
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Question # 21
f(x) = ax + b will be an identity function if
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a = 1 , b = 1
a = 1 , b = 0
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Question # 22
An integer is chosen at random from the number ranging from 1 to 50. the probability that the integer chosen is a multiple of 2 or 3 or 10 is
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3 / 10
5 / 10
7 / 10
9 / 10
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Question # 23
The square matrix A is skew Hermitian when (A)'=
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A
A'
-A
A
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Question # 24
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Two real roots
Two positive roots
Two negative roots
One positive and one negative root
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Question # 25
If 5,7 and 9 are A.Ms between a and b, then a and b is equal to
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2 and 12
1 and 10
3 and 11
-7 and 2
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Question # 26
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Question # 27
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I
|A|
|A| I
None of these
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Question # 28
The obtuse angle between lines = -2 and y = x +2 is
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120°
135°
150°
140°
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Question # 29
x = secθ,y = tanθ are the parametric equations of
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Circle
Hyperbola
Ellipse
parabola
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Question # 30
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none of these
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Question # 31
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0
1
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