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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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real part of z
imaginary part of z
conjugate of z
modulus of z
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Question # 2
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Question # 3
The period sin
2
θ
is
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π
2
π
2
π
π/2
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Question # 4
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0
-1
1/2
1
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Question # 5
InΔABC if y = 90° then the Pythagoras theorem is
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b2 + c2 =a2
a2 + b2 = c2
a2 +c2 = b2
None of these
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Question # 6
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
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H.P.
G.P.
A.P.
None of these
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Question # 7
Onto function is also called
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Binjective function
Injective function
Surjechive function
None of these
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Question # 8
if a
1
=3, d=7 and a
n
=59 , then the number of terms in A.P is
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7
9
11
13
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Question # 9
The graph of y> 0 is the upper - half of:
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y-axis
x-axis
1st and 4th quandrant
2nd and 3rd quadrant
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Question # 10
The quadratic equation 8 sec
2
θ
- 6 sec
θ
+1 = 0 has
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Infinitely many roots
Exactly two roots
Exactly four roots
No roots
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Question # 11
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(2x4)
(2x7)
(2x3)
(7x2)
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Question # 12
If ab > 0 and a < 0, which of the following is negative?
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b
-b
-a
(a - b)
2
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Question # 13
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Question # 14
Geometrically the modulus of a complex number represents its distance from the
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Point (1,0)
Point (0,1)
Point (1,1)
Point (0,0)
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Question # 15
The set of the first elements of the orders pairs forming a relations is called its
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Relation in B
Range
Domain
Relation in A
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Question # 16
If a plane passes through the vertex of a cone then the intersection is
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an ellipse
a hyperbola
a point circle
a parabola
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Question # 17
Which of the following has the same value as i113
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i
-1
-i
1
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Question # 18
The point (x
1
, y
1
) lies outside the circle x
2
+ y
2
+ 2gx + 2fy + c =0 if
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Question # 19
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Question # 20
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Question # 21
The eccentricity e of an ellipse is always
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Rational
Real
Irrational
Integer
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Question # 22
The physical quantity which can be specified by a number alongwith unit is called a
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scalar
vector
constant
none of these
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Question # 23
A statement which is either true or false is called
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Induction
Deduction
Propositicon
Logic
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Question # 24
Sin 45° = ______
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Question # 25
8 . 7 . 6. 5 in factorial form is
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Question # 26
The equation of the tangent at vertex to the parabola is y2 = -8(x -3)
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y=0
x=3
x=1
x=5
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Question # 27
The sum of the roots of the equation x2 -6x +2 = 0 is
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-6
2
-2
6
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Question # 28
Such fraction which can not be written in the form ofp⁄q where p,q and q≠ 0,such fractions are called.
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Fractinal numbers
Rational Numbers
Even Numbers
Whole Numbers
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Question # 29
Two unbiased dice are thrown. The probability that the total score is > 5 is
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1 / 18
7 / 18
13 / 18
11 / 18
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Question # 30
∀a,b ε R, ab = be is a
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Commutative law of multiplication
Closure law of multiplication
Associative law of multiplication
Multiplicative identity
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Question # 31
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