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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
The angle of elevation of the top of a tree from a point 17 meters from is foot is 42
đ
The height of the tree is
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12m
21m
17m
15m
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Question # 3
The towers each 120 meters high are 800 meters apart. The measure of the angle of elevation from the base of one tower to the top of the other is
Choose an answer
12
đ
9
đ
7
đ
-120
đ
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Question # 4
Let a
1
, a
2
, a
3
, a
4
and a
5
be such that a
1
, a
2
, and a
3
are in A.P., a
2
, a
3
and a
4
are in G.P and a
3
, a
4
and a
5
are in H.P. Then, a
1
, a
3
and a
5
are in
Choose an answer
G.P.
A.P.
H.P.
None of these
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Question # 5
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Question # 6
If f(x) = x
2
then f(2) is
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-2
2
4
-4
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Question # 7
xy= 2 is:
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a constant function
an identity function
an improper function
implicit function
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Question # 8
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all are correct
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Question # 9
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Question # 10
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images
pre-images
constants
none of these
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Question # 11
The solution set of sin x + cos x = 0 is
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Question # 12
If Z = (1,2), then Z
-1
= ?
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(0.2, 0.4)
(-0.2, 0.4)
(0.2, -0.4)
(-0.2, -0.4)
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Question # 13
A chord passing through the centre of the circle is called
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the secant of the circle
the tangent of the circle
the arc of the circle
the diameter of the circle
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Question # 14
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none of these
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Question # 15
If n(X) = 18, n(XâŠY) = 7, n(X⪠Y) = 40 then n(Y) =
Choose an answer
1
12
5
29
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Question # 16
The many subset can be formed from the set {a,b,c,d}
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8
4
12
16
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Question # 17
The multiplicative inverse of 4 is
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-4
-1/4
1/4
1
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Question # 18
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2x + 3
x
2
+ 3 + c
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Question # 19
The points (5, 0, 2), (2, -6, 0), (4, -9, 6) and (7, -3, 8) are vertices of a
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Square
Rhombus
Rectangle
Parallelogram
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Question # 20
In R, the multiplicative inverse of a is
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0
1
-a
1/a
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Question # 21
ᾨ is a
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variable
Positive constant
Positive variable
Directrix
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Question # 22
The maximum value of 12 sin
θ
-9 sin
2
θ
is x
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3
4
5
None of these
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Question # 23
The distance between the points (2,3) and (3,2) is
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5
2
10
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Question # 24
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Question # 25
A stationary point x is a relative exterma of y= f(x) is
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fâ˛â˛ (x) > 0
fâ˛â˛ (x) < 0
fâ˛â˛ (x) â 0
fâ˛â˛(x) = 0
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Question # 26
The area of sector with central angle of 1 radian in a circular region whose radius is 2m is
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0.5m2
2m2
1m2
4m2
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Question # 27
The mid point of the line segment joining the points A(3,1) and B(-2,-4) is
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(1, -3)
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Question # 28
If x
4
- 10x
2
- 2x + 4 is divided by x + 3, then the reminder is
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1
0
4
None of these
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Question # 29
Sin 270° = ______
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-1
0
1
Undefined
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Question # 30
3x + 4
<
0 is
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not inequality
equation
identity
inequality
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Question # 31
0.25 is ______
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An irrational number
A natural number
A prime number
A rational number
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