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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
x
3
+ 2x
2
- 3x + 5 is ______
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An equation
A polynomial
Proper rational fractions
Improper rational fractions
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Question # 3
For n€ N,2
n>2
> n is to only when
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n<2
n≤ 4
n≥ 4
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Question # 4
If the expansion of (1 + x)
20
, then co-efficient of rth ad (r + 4)th term are equal, then r is
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7
8
9
10
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Question # 5
The point on y
2
= 4ax nearest to the focus has its abciassae equal to
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-a
a
a/2
0
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Question # 6
Which of the following is a quadrantal angle
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100°
200°
170°
270°
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Question # 7
If E = { } , then P(E)
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∅
{ }
{(2),(4),(6)....}
(∅)
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Question # 8
If a set S contains n elements then P (S) has ........ number of elements
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2
n
2
n2
2.n
n
2
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Question # 9
Which is an explicit function
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y = x
2
+ 2x - 1
x
2
+ xy + y
2
= 2
x
2
+ y
2
= xy + 2
All are
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Question # 10
For all positive integral value of n,3
n
< n! , when
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n> 6
n< 6
n<11
n>11
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Question # 11
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0
1
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Question # 12
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Question # 13
If x - 1 is a factor of x4 - 5x2 + 4 then other factor is
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(x + 2)2(x - 1)
(x + 2)(x - 1)2
(x+2)(x2- x- 2)
(x + 2)2(x - 1)2
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Question # 14
If n is add the expansion (a + x)
n
has middle terms
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2
3
4
5
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Question # 15
1/3 is a decimal
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Recurring
Terminating
Non-terminating
None of the above
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Question # 16
Inverse of the function y-10x is
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y=logx
y=lnx
x=10y
x=10y
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Question # 17
The obtuse angle between lines = -2 and y = x +2 is
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120°
135°
150°
140°
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Question # 18
The set of complex numbers forms
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Commutative group w.r.t addition
Commutative group w.r.t multiplication
Commutative group w.r.t division
Non commutative group w.r.t addition
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Question # 19
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Question # 20
The tangent to the parabola y2 =4ax and perpendicular line from the focus on it meet
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x =0
y =0
x =-9
y = -a
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Question # 21
Roots of the equation 2x
2
- 7x + 3 = 0 are
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Rational
Irrational
Complex
None of these
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Question # 22
Distance between A(3, 8), B(5, 6) is
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Question # 23
The seventh term of (x3+1/x)8is
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71
-22
27
28
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Question # 24
The number of terms in the expansion of (a + x)
12
is
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13
12
11
10
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Question # 25
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2s
2
2s
3
s
3
3s
3
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Question # 26
A - B = ______
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Question # 27
If you are looking a high point from the ground, then the angle formed is
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Angle of elevation
Angle of depression
Right angle
Horizon
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Question # 28
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Question # 29
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Question # 30
(a+bi) - (c+di)=
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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 # 31
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[0, 0, 0]
[1, 0, 0]
[0, 1, 0]
[0, 0, 1]
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