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ECAT Mathematics Online Test MCQs With Answers
Question # 1
If 2x
1/3
+ 2x
-1/3
= 5, then x is equal to
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1 or -1
2 or 1/2
8 or 1/8
4 or 1/4
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Question # 2
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cos x
- sin x
- cos x
tan x
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Question # 3
A quadratic equation in x is an equation that can be witten in the form
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ax
2
+ b = 0
ax
3
+b
2
+c=0
ax
2
+bx+c=0
ax
3
+bx
3
+cx=0
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Question # 4
The sum of all even numbers less than 100 is
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2450
2352
2272
2468
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Question # 5
The period of 3 sin x is
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2π
9π
3π
5π
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Question # 6
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15
9
7
8
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Question # 7
π is the ration of
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Area of a circle to its diameter
Area of a circle to its radius
Circumference of a circle to its diameter
Circumference of circle to its radius
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Question # 8
The number z so that the triangle with vertices A(1,-1,0),B(-2,2,1)and C(0,2,z) is a right triangle with right angle at vertex C
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1,2
-1,-2
2,-1
-2,1
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Question # 9
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Question # 10
The numbers of G
1
, G
2
, G
3
...... G
n
are called n geometric means between a and b is a, G
1
, G
2,
G
3
, ... G
n
, b are in
Choose an answer
H.P.
A.P.
G.P.
None of these
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Question # 11
The area under the curve y = 1/x
2
between x = 1 and x =4 is:
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-25
0.75
-0.35
-10
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Question # 12
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Question # 13
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I and III quadrants
II and III quadrants
I and II quadrants
II and IV quadrants
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Question # 14
The mid point of the line segment joining the points (3,-1) and (-3,1) is
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(3,-1)
(0,0)
(2,2)
(4,4)
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Question # 15
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1.5
1.2
8
None of these
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Question # 16
For all points (x,y) in fourth quadrant
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x > 0 , y < 0
x > 0 , y > 0
x < 0 , y < 0
x < 0 , y > 0
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Question # 17
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Question # 18
Which is an explicit function
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y = x
2
+ 2x - 1
x
2
+ xy + y
2
= 2
x
2
+ y
2
= xy + 2
All are
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Question # 19
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Question # 20
The term independent of x is the expansion (x
3
+1/x)
12
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295
495
395
722
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Question # 21
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An empty set
Universal set
A singleton set
None of these
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Question # 22
If the 4th term in the expansion of (px + x
-1
)
m
is 2.5 for all x
∈ R, then
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Question # 23
The law of tangents is ______
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Question # 24
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A
-
A
t
-A
A
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Question # 25
sin
2
α
cos
2
α
=
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-1
0
1
None of these
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Question # 26
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Improper rational fraction
Proper rational fraction
Polynomial
Equation
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Question # 27
The centre of the circle x2+y2 -2fx-2gy+x=0 is
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(-g,-f)
(g,f)
(f,g)
(-f,-g)
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Question # 28
A ________ divides the plane into left and right half planes.
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Vertical line
Horizontal line
Non vertical line
Inequality
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Question # 29
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Question # 30
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Question # 31
The process of finding the unknown elements in triangle is called the
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solution of the triangle
Mean differnece
Engineering distance
angle of depressin
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