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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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2
6
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Question # 2
i
3
=
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-1
i
-i
1
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Question # 3
The equation x
2
+ y
2
= 0 represents
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A circle
A degenerate circle
An empty set
A st. line
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Question # 4
Number of terms in the expansion of (a+x)
n
is
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n - 1
n + 1
n + 2
n + 3
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Question # 5
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(g,f)
(-g,f)
(g,-f)
(-g,-f)
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Question # 6
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Improper rational fraction
Rational fraction
Proper rational fraction
None of above
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Question # 7
If f (x)=a0 +a1x+a2x2+a3x3-----+0n-1xn-1+anxn then f(n) (x) is equal to
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n!
ann!
0
an
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Question # 8
If a (p + q)
2
+ bpq +c = 0 and a (p + r)
2
+ 2 bpr + c = 0, then qr equals
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p
2
+ c/a
p
2
+ a/c
p
2
+ c/a
p
2
- c/a
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Question # 9
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- cot 4x + c
cot 4x + c
tan 4x + c
- tan 4x + c
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Question # 10
Which of the following is factor of p(x) =2x3 +3x2+3x+2 ?
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x+1
2x+1
3x+1
2x-1
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Question # 11
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additive property
multiplicative property
additive inverse
additive identity
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Question # 12
(0,1) is in the solution of the inequality
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3x + 2y > 8
2x - 3y < 4
2x + 3y > 5
x -2y < -5
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Question # 13
The two different parts of the hyperbola are called its
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Vertices
Directrices
Nappes
Branches
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Question # 14
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Additive property in R
Multiplication property in R
Cancellation property in R
Distribution property in R
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Question # 15
The series obtained by adding the terms of a geometric sequence is called
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Infinite series
Arithmetic series
Geometric series
Harmonic series
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Question # 16
A circle drawn inside a triangle and touching its sides is called ______;
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Circumcirle
Incircle
Escribed circle
unit circle
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Question # 17
The set of natural is a semi group w.r.t
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Addition
Division
Subtraction
None of these
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Question # 18
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Question # 19
If P is a proposition then its negative is denoted by
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Question # 20
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4x + 1
4x
2x
3
none of these
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Question # 21
sin 3a = ______;
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3sin a - 4sin3a
4sin a -3 sin3 a
3 cos3 a -cosa
4cos3 a - 3cos a
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Question # 22
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Principle of equality of fractions
Rule for product of fractions
Golden rule of fractions
Rule for quotient of fractions
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Question # 23
The symbol of irrational is
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W
N
Q
Q'
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Question # 24
sin(180° -
θ)=
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cos
θ
-cos
θ
Tan
θ
Sin
θ
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Question # 25
Range of cos
θ
is
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Question # 26
A relation in which the equality is true only for some values of the unknown is called
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An identity
An equation
A polynomial
None
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Question # 27
Which of the following is a vector
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length
momentum
volume
speed
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Question # 28
A circle passing through the vertices of any triangle is called ______
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In circle
Circum circle
Escribed circle
None of these
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Question # 29
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real part of z
imaginary part of z
conjugate of z
modulus of z
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Question # 30
If origin is the mid point of (a, -3) and (-5, b) then
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a = -5 , b = -3
a = 5 , b =3
a = -5 , b = 3
a = 5 , b = -3
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Question # 31
If cos (2 sin-1 x) = 1/9 , then what is the value of x?
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1/3
-2/3
2/3
2/3 , -2/3
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