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ECAT Mathematics Online Test MCQs With Answers
Question # 1
The straight lines represented by the equation ax2+ 2hxy +by2 =0 intersects at
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(1,1)
(0,1)
(1,0)
(0,0)
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Question # 2
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cos x + c
-sin x + c
-cos x + c
sin x + c
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Question # 3
A polynomial of arbitrary degree
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f(x) = o
f(x) = x
f(x) = a
f(x) = ax + b,a ≠ 0
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Question # 4
a >b, b >c ⇒a >c is a
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Multiplicative property
Additive property
Trichotomy property
Transitive property of inequality
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Question # 5
If two balls are drawn from a bag containing 3 white, 4 black and 5 red balls. Then the probability that the drawn balls are of different colours is
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1 / 66
3 / 66
19 / 66
47 / 66
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Question # 6
The first three terms in the expansion of (1 + x)
-2
are ______
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1 - 2x + 3x
2
1 - 2x - 3x
2
1 + 2x + 3x
2
-2 -2x + 3x
2
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Question # 7
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Question # 8
The 6th term of an arithmetic sequence whose first term is 3 and common difference in zero is
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18
6
3
0
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Question # 9
The angle between lines xy =0 is
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45°
60°
90°
180°
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Question # 10
If the sum of co-efficient in the expansion of (a+b)
n
is 4096, then the greatest co-efficient in the expansion is
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1594
792
924
2924
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Question # 11
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Question # 12
If x
2
+ px + 1 is a factor of ax
3
+ bx +c, then
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a
2
+ c
2
= -ab
a
2
- c
2
= -ab
a
2
- c
2
= ab
None of these
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Question # 13
The value of sin
-1
5/13 is equal to
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Cos 5/13
Tan
-1
5/12
cos
-1
5/12
2 cos
-1
4/5
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Question # 14
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Question # 15
In a country, 55% of the male population has houses in cities while 30% have houses both in cities and in village. Find the percentage of the population that has house only in villages.
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45
30
25
50
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Question # 16
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Question # 17
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none of these
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Question # 18
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an A.P.
a G.P.
a H.P.
None of these
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Question # 19
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Question # 20
The coordinates of a point P(x,y) referred to XY-system are
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(x+y,y+k)
(x-h,y-k)
(x,y)
(x-h,y-k)
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Question # 21
The graph of a quadratic function is
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Circle
Ellipse
Parabola
Hexagon
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Question # 22
If in the expansion of (1+x)
n
, co-efficients of 2nd, 3rd and 4th terms are in A.P., then x=
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4
5
6
7
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Question # 23
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Question # 24
The equation of motion of a stone thrown vertically up wards is s = ut - 4.9t
2
the maximum height attained by it =
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Question # 25
A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P, Q, R and S. Then CP
2
+ CQ
2
+ CR
2
+ CS
2
=
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r
2
2 r
2
3 r
2
4 r
2
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Question # 26
Name the property used in 100 + 0 = 100
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Additive inverse
Multiplicative inverse
Additive identity
Multiplicative identity
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Question # 27
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Question # 28
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1
-1
5
2
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Question # 29
(a +b
i
) -c (c +d
i
) =
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(a +b) = (c +d)
(a +c) + i(b +d)
(a -c) + (c -d)
i
(a -c) +(b -d)
i
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Question # 30
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Question # 31
A relation in which the equality is true only for some values of the known is called ______
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An identity
An equation
A polynomial
None of these
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