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Online Tests
Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The velocity and acceleration at any point t of a particle which moves along straight line x = 5r-3
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5,3
5,-3
5,0
10,0
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Question # 2
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Question # 3
The vertex of the equation y
2
= 4ax is:
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(2, -2)
(1,1)
(0 , 0)
(2 , 2)
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Question # 4
The function sine and Cosine have the closed internal as their range
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[1, 0]
[-1, 1]
[0, 1]
[-1, 2]
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Question # 5
If Z
1
= 1+ i, Z
2
= 2+3i , then |Z
1
-Z
2
| =?
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√5
√7
-1-2i
√3
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Question # 6
The multiplicative inverse of (a,b) is
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Question # 7
The proposition S(n) is true∀n∈N,S(k+1) true when ______is true
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S(1)
Both a & c
S(k)
None
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Question # 8
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Scalar matrix
Identity matrix
Null matrix
Symmetric matrix
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Question # 9
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a-b=ab
ab=a
a+b=ab
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Question # 10
Let A and B be two sets. If every element of A is also an element of B then
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Question # 11
If a,b c are sides of a triangle taken in order then a x b =
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b x c
b x a
cxa
Both a & b
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Question # 12
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Question # 13
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 # 14
Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then
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A = B
B = C
A≠ C
A ≠ B
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Question # 15
A bag contains 7 whit, 5 black and 4 rd balls. If two balls are drawn at random from the bag, the probability that they are not of the same color is
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73 / 120
83 / 120
67 / 120
43 / 120
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Question # 16
The domain of an infinite sequence is a
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Set of natural numbers
R
Subset of N
None of the above
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Question # 17
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Reciprocal equation
Exponential equation
Radical equation
None of these
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Question # 18
2
π
+
θ
will have terminal side in Quad
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I
II
III
IV
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Question # 19
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A,. B, C are coincident
A, B, C are collinear
Both A and B
None of these
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Question # 20
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Question # 21
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Question # 22
If a statement S(n) is true for n = i where i is some natural number and the truth of S(n) for n = k > i implies the truth of S(n) for n = k +1 then S(n) is true for all positive integers
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Question # 23
Minor of an element a
ij
is denoted by
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M
ij
A
ij
|A|
None of these
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Question # 24
sn (2sin-10.8)
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0.56
0.69
-0.16
0.96
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Question # 25
Find a if 1 is a root of the equation x
2
+ ax + 2 = 0
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3
-3
2
0
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Question # 26
For three consecutive terms in A.P middle term is called
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A.M
nth term
Central term
None of these
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Question # 27
Sin 270° = ______
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-1
0
1
Undefined
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Question # 28
Which of the following integrals can be evaluated
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Question # 29
The domain of y =√(x^2-9) is
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R
(0 , +∞)
(-∞ , -3 )∪ (3 , +∞)
(0 ,∞)
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Question # 30
(A∩Bc)c= -------------------------
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Ac∪Bc
Ac∪B
Ac∩B
None of these
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Question # 31
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