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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Choose an answer
0
1
-1
2
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Question # 2
The roots of ax2+bx+c=0 are
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Rational ⇔ b2 -4 ac ≥ 0
Irrational ⇔ b2-4 ac > 0
Real ⇔ b2-4 ac ≠ 0
Rational⇔ b2-4 ac = 0
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Question # 3
The ellipse and hyperbola are called
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Concentric conics
Central conics
Both a b
None
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Question # 4
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Question # 5
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Question # 6
Cos-1 (-x) =
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-x
1/x
tan-1 x
π-cos-1 x
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Question # 7
Domain of tan x is ______
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Question # 8
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Question # 9
If for the matrix A, A
5
= I, then A
-1
=
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A
2
A
3
A
None of above
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Question # 10
The third term of a G.P. is 4, The product of first five terms is
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43
45
46
None of these
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Question # 11
If A and B are skew-symmetric then (AB)t is
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At Bt
AB
-AB
BA
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Question # 12
O is ______
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A positive integer
A negative integer
A natural number
An integer
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Question # 13
A square matrix A = [aij] is lower triangular matrix when
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aij = 0 for all i<j
bij = 0
cij = 0
dij = 0
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Question # 14
If f(x) = x
2
then f(2) is
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-2
2
4
-4
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Question # 15
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A
A'
U
None of these
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Question # 16
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1
12
5
29
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Question # 17
Q∪ Q' =
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Q
Q'
N
R
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Question # 18
The exterior angle of the interior angle C of he quadrilateral whose vertices are A(5,2),B(-2,3),C(-3,-4),D(4,-5) is
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30°
60°
45°
90°
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Question # 19
Sin 50°-sin 70°+sin 10° is equal to
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1
0
1/2
2
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Question # 20
The set of all antiderivaties of f(= ∫f(x)dx) is the
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Definite integral
Indefinite integral
Integral
Area
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Question # 21
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Question # 22
Under multiplication, solution set of is
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Groupoid
Abelian group
Semi group
All of these
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Question # 23
In a class of 100 students, 60 drink tea, 50 drink coffee and 30 drink both. A student from his class is selected at takes at last one of 2 drinks is
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2 / 5
3 / 5
4 / 5
None of these
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Question # 24
The roots of ax2 + bx + c = 0 are always unequal if
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b2 - 4ac = 0
b2- 4ac ≠ 0
b2- 4ac > 0
b2- 4ac ≥ 0
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Question # 25
If P is a proposition then its negative is denoted by
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Question # 26
The series obtained by adding the terms of an arithmetic sequence is called the
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Infinite series
Harmonic series
Geometric series
Arithmetic series
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Question # 27
If
θ
= 60° then
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sin
θ
= 1/2
tan
θ
= cot 30°
θ
=
π
/4
sec
θ
= 4
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Question # 28
(0.90)
1/2
is equal to
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0.99
0.90
0.80
0.88
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Question # 29
If a, b, c are in AP., a, b, c are in G.P. then A, m
2
b, c are in
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A.P.
G.P.
H.P.
None of these
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Question # 30
[i,j,k]
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0
2
1
-2
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Question # 31
The A.M. of two numbers is 34 and G.M. is 16, the numbers are
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2 and 64
64 and 3
64 and 4
None of these
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