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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
If a
1
and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is
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0
a
1
r
n-1
a
1
r
n+1
a
1
r
n
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Question # 4
The sixth term of the sequence 1,3,12,60....is
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1500
72
2160
2520
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Question # 5
The number of terms in the expansion of (a + b)
9
is
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10
11
9
12
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Question # 6
Sin
-1
(-x)=
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Cos
-1
1/x
- Sin
-1
X
Cot
-1
X
None of these
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Question # 7
If f(x) = x
3
- 2x
2
+ 4x -1, then f(-2) = ?
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0
-25
5
45
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Question # 8
i
2
=
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1
2
-1
0
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Question # 9
Given two independent event A and B such that P(A) = 0.30 and P(B) = 0.60. Probability of getting neither A nor B is
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0.28
0.13
0.12
0.42
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Question # 10
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Question # 11
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0
-1
1/2
1
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Question # 12
An equation which holds good for all values of variables is called
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Equation
Conditional equation
Constant
None
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Question # 13
The angle between the vectors 3i + j - k and 2i - j + k is
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Question # 14
The point (1,3) is one solution of
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3x + 5y > 29
3x + 5y < 7
x + 2y < 4
x + 4y > 3
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Question # 15
For all points (x,y) in third 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 # 16
The conic is a parabola if
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e < 1
e > 1
e = 1
None of these
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Question # 17
A sequence whose reciprocal is an A.P is called
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Oscillator
H.P
G.P
None of these
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Question # 18
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Reciprocal equation
Exponential equation
Radical equation
None of these
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Question # 19
2
π
+
θ
will have terminal side in Quad
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I
II
III
IV
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Question # 20
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 # 21
Range of cot
θ
is
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(+
∞
to -
∞
)
(-1 to +1)
(-5 to +5)
Set of even numbers only
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Question # 22
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a constant function
linear function
quadratic funtion
none of these
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Question # 23
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 # 24
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 # 25
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3/4
-3/4
4/3
-4/3
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Question # 26
x
2
+ x - 6 = 0 is
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An equation
An identity
A polynomial
None of these
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Question # 27
Cofactor of an element a
ij
is defined by
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(-1)
i+j
|A|
(-1)
i+j
M
ij
(-1)
i+j
M
-1
None of these
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Question # 28
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Question # 29
The number of standard parabolic functions are is
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4
2
3
1
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Question # 30
The period of tan x/7 is
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3π
7π
15π
5π
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Question # 31
p, q, r and s are integers. If the A.M. of the roots of x2- px + q2= 0 and G.M. of the roots of x2- rx + s2= 0 are equal, then
Choose an answer
q is an odd integer
r is an even integer
p is an even integer
s is an odd integer
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