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ECAT Mathematics Online Test MCQs With Answers
Question # 1
How many 6-Digit number can be formed without repairing any digit from the digits 0,1,2,3,4,5
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720
600
120
6-5!
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Question # 2
The first three terms in the expansion of (1 - x)
-1
are
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1 + x + x
2
1 - x - x
2
-1 -x +x
2
1 - x + x
2
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Question # 3
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Question # 4
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Principle of equality of fractions
Rule for product of fraction
Rule for quotient of fraction
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Question # 5
√2 is a number
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Rational
Irrational
Even
Odd
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Question # 6
E-radius corresponding to < B is
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Question # 7
The exact degree value of the function sin-1( -√3/2) is
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70
ο
50
ο
90
ο
60
ο
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Question # 8
A function whose range is just one elements is called
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One-one function
Constant function
Onto function
Identity function
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Question # 9
The value of the expression sin
θ
+ cos
θ
lies between
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Question # 10
w
15
= ______
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0
1
w
w
2
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Question # 11
Number of terms in the expansion of (a+x)
n
is
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n - 1
n + 1
n + 2
n + 3
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Question # 12
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3 x 2
2 x 3
3 x 3
2 x 2
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Question # 13
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Question # 14
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Polynomial
Equation
Improper rational fraction
Proper rational fraction
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Question # 15
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Question # 16
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Question # 17
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 # 18
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 # 19
an - an-1 will be common difference in an A.P if
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n = 1∀n∈ N
n>1∧n∈N
n∈Z
None of the above
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Question # 20
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Question # 21
The straight line passing through the focus and perpendicular to the directrix of the conic is known as its
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Tangent
axis
Focal chord
major or manor axis
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Question # 22
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A = B
B = C
A = C
None of these
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Question # 23
H
1
, H
2
, H
3
, .... H
n
are called n harmonic means between a and b if a, H
1
, H
2
, H
3
, ... H
n
b are in
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H.P.
G.P.
A.P.
None of these
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Question # 24
Range of cos
θ
is
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Question # 25
The number of values of x in the interval [0, 5
π
] satisfying the equation 3 sin
2
x - 7 sinx + 2 = 0 is
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0
5
6
10
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Question # 26
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Free vector
Null vector
Unit vector
None of these
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Question # 27
What is the period of tan 4/3 x =?
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π/4
4π/3
7π/4
3π/4
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Question # 28
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a
x
In a + c
a
x
+ c
x a
x
+ c
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Question # 29
r + 3 >5 then which is true
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r + 2 > 4
r + 2 < 4
r + 2 = 4
None
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Question # 30
60° = ______
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Question # 31
Period of 2 cos x is ______
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