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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Two real roots
Two positive roots
Two negative roots
One positive and one negative root
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Question # 2
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Question # 3
QUQ, =
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N
R
W
Z
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Question # 4
If distance between (a,2) and (0,0) is 2 then a = _______
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0
2
4
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Question # 5
If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then x
y-z
. y
z-x
. z
x-y
eqals
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xyz
0
1
None of these
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Question # 6
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1/8
1/2
1/4
1/6
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Question # 7
3/4 is ______
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An odd number
An even number
A natural number
A rational number
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Question # 8
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Question # 9
(1 + 2x)
4
= ______
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1 + 4x + 6x
2
+ 4x
3
+ x
4
1 - 4x + 6x
2
- 4x
3
+ x
4
1 - 8x + 24x
2
- 32x
3
+ 16x
4
1 + 8x+ 24x
2
+ 32x
3
+ 16x
4
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Question # 10
if a
9 =19,a9=31 are the 6th and 9th term of an A.P. and d=4 is the common difference, then 18th term of the sequence is
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65
67
71
75
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Question # 11
The product of cube roots of unity is
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Zero
1
-1
None of these
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Question # 12
The eccentricity of the conic 9x
2
- 16y
2
= 144 is
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4/5
5/4
4/3
3/4
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Question # 13
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cos 3x + c
- cos 3x + c
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Question # 14
tan(cot
-1
x) is equal to
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cot(tan
-1
x)
tan x
secon x
None of these
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Question # 15
The vertex of the graph of the quadratic function f(x) = x2 -10, is
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(0 , -10)
(-10,0)
(10,0)
(0,10)
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Question # 16
What is the period of sin 2x/3 cos 4x=?
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π
2π
π/2
π/3
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Question # 17
The angle AOP which the ray from an observer's eye at O to an object at P at a lower level makes with horizontal ray OA through O is called the
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Angle of depression
Angle of elevation
Acute angle
Obtuse angle
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Question # 18
Inequalities have ______ symbol
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2
3
4
1
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Question # 19
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Question # 20
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Question # 21
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A
A'
U
None of these
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Question # 22
The solution of the equation cos
2
θ
+ sin
θ
+ 1 = 0 lies in the interval
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Question # 23
Two positive integers whose sum is 30 and their product will be maximum are
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12,18
10,20
15,15
14,16
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Question # 24
Tangent is a periodic function and its period is ______
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2
π
3
π
π
4
π
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Question # 25
ᵨ is a
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variable
Positive constant
Positive variable
Directrix
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Question # 26
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A
B
U
None of these
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Question # 27
Which of the following statement is true?
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A set is a collection of non-empty object
A set is a collection of only numbers
a set is any collection of things
a set is well-defined collection of objects
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Question # 28
The number of x-intercepts of y= sin x in his period
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0
1
2
3
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Question # 29
If ax
2
+ bx + x = 0 is satisfied by every value of x, then
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b = 0, c = 0
c = 0
b = 0
a = b = c = 0
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Question # 30
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 # 31
The circle (x - 2)
2
+ (y + 3)
2
= 4 is not concentric with the circle
Choose an answer
(x - 2)
2
+ (y + 3)
2
= 9
(x + 2)
2
+ (y - 3)
2
= 4
(x + 2)
2
+ (y - 3)
2
= 8
(x - 2)
2
+ (y + 3)
2
= 5
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