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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
One minute is denoted by
Choose an answer
1
0
1'
1"
None of these
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Question # 2
The sum of the cubes of three consecutive natural number is divisible by
Choose an answer
9
6
5
10
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Question # 3
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360°
180°
90°
None of these
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Question # 4
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Question # 5
Two circle s1: x2+ y2 +2x- 2y- 7= 0: s2: x2+ y2- 6x+ 4y+ 9= 0
Choose an answer
Touch externally
Touch internally
Intersects each other
Do not intersects
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Question # 6
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Question # 7
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1
-1
0
I
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Question # 8
(a, b) + (-a, -b) =
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(0,0)
(a, b)
(-a, -b)
(1, 1)
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Question # 9
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1, 1/2, 0
1, 2, 1
1, 2, 3
1, 2, 0
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Question # 10
The multiplicative inverse of 1 is
Choose an answer
1
-1
0
Does not exist
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Question # 11
If cos
-1
p + cos
-1
q + cos
-1
r =
π
then p
2
+ q
2
+ r
2
+ 2pqr is equal to
Choose an answer
3
1
2
-1
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Question # 12
How many comittees of 5 numbers can be chosen from a group of 8 players person when each committee must include 2 particular persons
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8!
5!3!
5!
20
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Question # 13
The differential equation of all st. lines which are at a constant distance to form the origin is
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Question # 14
If the circumference of a circle is divided into 360 congruent parts, the angle subtended by one part at the centre of the circle is
Choose an answer
1
0
1'
1"
1 rad
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Question # 15
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none of these
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Question # 16
Period of cos 2x is ______
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Question # 17
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 # 18
Any horizontal line divided the plane into
Choose an answer
Left half plane
Upper and lower half planes
Infinite number of horizontal liens
None of these
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Question # 19
If eccentricity of ellipse becomes zero then it takes the form of
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A parabola
A circle
A straight line
None of these
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Question # 20
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Question # 21
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Question # 22
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Question # 23
Derivative of strictly increasing function is always
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Zero
Positive
Negative
Both (A) and (B)
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Question # 24
Area of the circle with ends of a diameter at (-3,2) and (5,-6)
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128π sq. units
64π sq. units
32π sq.units
None of these
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Question # 25
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Question # 26
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Question # 27
A function from X to Y is written as
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f : X to Y
f : Y to Y
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Question # 28
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Question # 29
Which of the following is a factor of x
3
- 3x
2
+ 2x - 6
Choose an answer
x + 2
x + 3
x - 3
x - 4
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Question # 30
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Question # 31
cos (
α
+
β
) + cos (
α
-
β
) =
Choose an answer
4 cos
α
cos
β
2 cos
α
cos
β
2 sin
α
sin
β
2 sin
α
cos
β
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