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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
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Question # 4
For any positive integer n
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ABn = Bn A ⇔ AB = BA
ABn = Bn A⇔ A,B are square matrices and AB = BA
ABn = BnA⇔ A + B
ABn = BnA ⇔ A and B are square matries
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Question # 5
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(-6,4)
(-3,2)
(6,-4)
(3, -2)
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Question # 6
A function whose domain is a subset of natural numbers is called ______
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Identity function
Sequence
Onto function
Series
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Question # 7
The equation of the circle with centre (-h, -k) and radius r is
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(x +h)
2
+ (y+k)
2
= r
2
(x +h)
2
+ (y-k)
2
= r
2
(x -h)
2
+ (y+k)
2
= r
2
(x -h)
2
+ (y-k)
2
= r
2
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Question # 8
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Symmetric property
Cancellation property w.r.t. multiplication
Reflexive property
Transitive property
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Question # 9
Geometrically the modulus of a complex number represents its distance from the
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Point (1,0)
Point (0,1)
Point (1,1)
Point (0,0)
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Question # 10
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 # 11
2π is the period of
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sin𝜽
tan𝜽
cot𝜽
all circular function
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Question # 12
The number of subsets of B = {1,2,3,4,5}
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10
32
16
5
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Question # 13
The value of x, and y, when (x + iy)
2
= 5 + 4i
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X = 2, y = -1
X = -2, y=1
X = 2, y = -1
X = 2, y = 2
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Question # 14
(1, 2) is in the solution of the inequality
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2x + y > 8
2x + y
<
6
2x - y > 1
2x + 3y < 2
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Question # 15
Power set of X i.e P(X) _______ under the binary operation of union U
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Forms a group
Does not form a group
Has no identity element
Infinite set although X is infinite
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Question # 16
Two circle s1: x2+ y2 +2x- 2y- 7= 0: s2: x2+ y2- 6x+ 4y+ 9= 0
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Touch externally
Touch internally
Intersects each other
Do not intersects
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Question # 17
The identity element of a set X with respect to intersection in P(x) is
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X
Does not exist
∅
None of these
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Question # 18
If cos
α
= 4/5, then cos
α
/2
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Question # 19
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Question # 20
Which of the following is a vector.
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energy
force
work
power
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Question # 21
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Question # 22
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Question # 23
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360°
180°
90°
None of these
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Question # 24
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Question # 25
The difference of two consecutive terms of an A.P. is called ______
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General term
Common ratio
Common difference
None of these
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Question # 26
If f(x) = -x
2
then f(-2) is
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-2
2
-4
4
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Question # 27
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none of these
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Question # 28
I f the focus is F ( 0,-a) and directrix is the line v=a, then equation of the parabola is:
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x
2
= 4ay
y
2
= 4ax
y
2
= -4ax
x
2
= 4ax
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Question # 29
Arithmetic mean between 14 and 18 is
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16
17
15
32
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Question # 30
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range of f
domain of f
both (a) and (b)
none of these
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Question # 31
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