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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The center of the sphore which passes thro' (a, 0, 0), (0, b, 0), (0, 0, c) and (0, 0, 0) is
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Question # 2
Range of cos x is ______
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[-1, 1]
R
Negative real numbers
R - { x | - 1 < x < 1}
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Question # 3
The sum of all odd numbers between 100 and 200 is
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6200
7500
6500
3750
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Question # 4
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a
x
In a + c
a
x
+ c
x a
x
+ c
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Question # 5
The sum of co-efficient in (1+x-3x
2
)
4163
is
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0
1
-1
None
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Question # 6
If f(x) = tan x then f(0) is
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0
1
1/2
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Question # 7
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(-1, 2)
(-1, 1)
(1, 2)
{-1}
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Question # 8
Tan 360° = _______
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-1
0
1
Undefined
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Question # 9
There is no element common in
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N and W
E and W
N and O
Q and Q'
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Question # 10
f(x) = x is
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trigonometric function
exponential function
quadratic function
identify function
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Question # 11
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cos 2x
2 cos 2x
2 sin2x
-2 cos2x
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Question # 12
Two matrices A and B are conformable for the product AB if
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Both A and B are square
Both A and B are symmetric
Number of rows of A = number of columns of B
Number of columns of A = number of rows of B
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Question # 13
Sec 30° = ______
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Question # 14
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Question # 15
Sum of all the four forth roots of unity is
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1
-1
i
0
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Question # 16
Which of the following sets is finite
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The set of natural numbers between 3 and 10
The set of rational numbers between 3 and 10
The set of real numbers between 0 and 1
The set of rational numbers between 0 and 1
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Question # 17
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2
0
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Question # 18
In the interval 0≤ x ≤ π, the sine is
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Not a function
Not defined
Infinity
Not one-to-one function
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Question # 19
√2 +√3 +√5) = (√2 +√3 +√5: this property is called
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associative property w.r.t addition
commutative property
Closure property w.r.t addition
Additive identity
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Question # 20
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f(x) = x
2
f(x
2
) = x
f(x) = x
none of these
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Question # 21
______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)
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Leibniz
Newton
Euler
None of these
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Question # 22
The domain of a finite sequence is a
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Set of natural numbers
R
Subset of N
Proper subset of N
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Question # 23
There is no integer n for which 3
n
is
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Odd
even
Natural
Prime
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Question # 24
Arithmetic mean between 14 and 18 is
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16
17
15
32
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Question # 25
The radius of the circle (x - 1)
2
+ (y + 3)
2
= 61 is
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8
4
64
None of these
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Question # 26
The set of all positive even integers is
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Not a group
A group w.r.t subtraction
A group w.r.t division
A group w.r.t multiplication
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Question # 27
Root of the equation 3
x-1
+ 3
1-x
= is
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2
1
0
-1
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Question # 28
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Question # 29
The quadratic formula is
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Question # 30
If x < y, 2x = A, and 2y = B, then
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A = B
A < B
A < x
B < y
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Question # 31
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