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Online Tests
Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Which of the following is a vector.
Choose an answer
work
time
density
electric field
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Question # 2
A function in which the second elements of the order pairs are distinct is called
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Onto function
One-one function
Identity function
Inverse function
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Question # 3
The point of concurrency of the medians of a triangle is called
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incentre
circumcentre
e-centre
centroid
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Question # 4
If the focus lies on the y-axis with coordinates f(0,a) and directrix of the parabola is y = -a, the equation of parabola is:
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y
2
= -4 ax
x
2
= 4ay
x
2
= -4ay
y
2
= 4ax
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Question # 5
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Question # 6
The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 internally
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Question # 7
The number of non zero rows in echelon form of a matrix is called
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Order of matrix
Rank of matrix
Row operation
None of these
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Question # 8
Choose an answer
The law of of sines
The law of tangents
The law of consines
None of these
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Question # 9
Which of the following is a quadrantal angle
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30°
45°
60°
90°
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Question # 10
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 # 11
The transport of a null matrix is
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Row matrix
Column matrix
Square matrix
Null matrix
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Question # 12
If A, G, H are the arithmetic, geometric and harmonic means between a and b respectively then A, G, H are in
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A. P.
G. P.
H. P.
None of these
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Question # 13
If B⊆ A, then complement of B in A is = -----------------------
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A-B
A∩B
B-A
A∪B
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Question # 14
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Question # 15
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A = x, B = 1
A = 0, B = 2
A = -1, B = 1
A = x-1, B = x + 1
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Question # 16
For two events A and B if P(A) = P (A/B) = 1/4 and P(B/A) = 1/2, then
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A is sub-event of B
A and B are mutually exclusive
A and B are independent and P(A/B) = 3/4
None of these
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Question # 17
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Question # 18
Sin -1 x=
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sin(π/2-x)
Sin-1 (π/2-x)
π/2-cos-1x
π/2 + cos-1x
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Question # 19
If A(a,b) lies on 3x +2y =13 and point B(b,a) lies on x-y =5 then equation of AB is
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x- y= 5
x+ y+ =5
x+ y= -5
5x +5y =21
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Question # 20
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Question # 21
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2
1
5
0
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Question # 22
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 # 23
The last term of (1+2x)-2
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(-1)-2 (2x)-2
(-1)-4(-2x)-2
(-1)-3(2x)-3
Does not exist
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Question # 24
The number of different ways of describing a set is
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One
Two
Three
Four
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Question # 25
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0
1
undefined
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Question # 26
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Question # 27
Onto function is also called
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Binjective function
Injective function
Surjechive function
None of these
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Question # 28
Choose an answer
I
|A|
|A| I
None of these
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Question # 29
(A ∩ B)c =
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A∩ B
(A ∪ B)c
Ac∪Bc
Φ
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Question # 30
√2 +√3 +√5) = (√2 +√3 +√5: this property is called
Choose an answer
associative property w.r.t addition
commutative property
Closure property w.r.t addition
Additive identity
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Question # 31
Choose an answer
In(x
2
- x + 1) + c
In(2x - 1) + c
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