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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The multiplicative inverse of -1 in the set {1-, 1} is
Choose an answer
1
-1
+-1
0
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Question # 2
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- cot 4x + c
cot 4x + c
tan 4x + c
- tan 4x + c
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Question # 3
Any recurring decimal represents a
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Irrational no
Integer
Rational no
None of these
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Question # 4
The points A(+1,-1),B(3,0),C(3,7),D(1,8) are vertices of
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Square
Parallelogram
Rectangle
Trapezium
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Question # 5
The vertex of the parabola (xsin a -ycos a)2 =4a(xcos a +ysin a) lies at
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(acos a,asin a)
(a,0)
(cos a,sin a)
(0,0)
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Question # 6
The sample space for tossing a coin once is
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{T, T}
{H, H}
{H, T}
None of these
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Question # 7
The middle term of [1/x-x]
10
is
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-152
-252
371
-421
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Question # 8
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3
1
4
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Question # 9
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-3
-7
1
0
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Question # 10
The exponent of x in 10th term in the expansion of (a+x)n
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10
12
11
9
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Question # 11
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2
1
5
0
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Question # 12
x
2
+ x - 6 = 0 is
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An equation
An identity
A polynomial
None of these
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Question # 13
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1
2
-1
0
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Question # 14
A number A is called the arithmetic mean between a and b if a, A, b is ______
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Arithmetic sequence
Geometric sequence
Harmonic sequence
Arithmetic sequence
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Question # 15
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16
256
64
1024
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Question # 16
The function f{(x, y) | y = ax
2
+ bx + c} is
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One-one function
Constant function
Onto function
Quadratic function
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Question # 17
Range of tan x is ______
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[-1, -]
R
Negative real numbers
R - {x | - 1 < x < 1}
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Question # 18
3x + 4
>
0 is
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equation
inequality
identity
none of these
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Question # 19
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
Choose an answer
H.P.
G.P.
A.P.
None of these
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Question # 20
The horizontal distance between the two towers is 60 m. the angular elevation of the top of the taller tower as seen from the top of the shorter one is 30°. If the height of the taller tower is 150 m, the height of the shorter one is
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116 m
200 m
216 m
None of these
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Question # 21
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Question # 22
If a
x
= b
y
= c
z
and a, b, c are in G.P. then x, y, z are in
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A.P.
G.P.
H.P.
None of these
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Question # 23
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Question # 24
An experiment yields 3 mutually exclusive and exhaustive events A, B, C, if P(A) =2 and P(B) = 3. then P(C) =
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1 / 11
2 / 11
3 / 11
6 / 11
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Question # 25
an -an-1,∀n∈N∧n>1 in an A.P is called
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Common difference
nth term
Common ratio
None of these
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Question # 26
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0
1
2
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Question # 27
nCn-r is equal to
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n!
n-1Cr
nCr
None of these
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Question # 28
If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is
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α
c
b
d
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Question # 29
An open sentence formed by using the sign of equality "=" is called
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Equation
In equation
True sentence
False sentence
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Question # 30
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Question # 31
x = sin
-1
3, then the value of sin x is
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√(3/2)
3
Not possible
-1
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