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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
A Geometric Series is divergent only if
Choose an answer
|r|>1
|r|≥1
|r|=1
None of these
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Question # 2
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Question # 3
sin
-1
x =
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tan
-1
x
Cosec
-1
x
Cosec x
cosec
-1
(1/x)
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Question # 4
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0
undefined
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Question # 5
There are 16 point in a plane, in which 6 are collinear. how many lines can be drawn by joining these points?
Choose an answer
10
66
71
106
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Question # 6
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A rational number
An irrational number
An odd number
A prime number
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Question # 7
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Question # 8
(√3+√5)+√7 = √3 +(√5 +√7) property used in above is
Choose an answer
Commutative property of addition
Closure property of addition
Additive inverse
Associative property w.r.t to adition
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Question # 9
The centre of the circle x2+y2 -2fx-2gy+x=0 is
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(-g,-f)
(g,f)
(f,g)
(-f,-g)
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Question # 10
The periods of the function f(x) = x[x] is
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1
2
Non periodic
None of these
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Question # 11
The number of standard parabolic functions are is
Choose an answer
4
2
3
1
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Question # 12
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A
A'
U
None of these
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Question # 13
Choose an answer
25
16
5
0
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Question # 14
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 # 15
What is the axis of the parabola y
2
= 4ax?
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x = 0
y = 0
x = a
y = 0
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Question # 16
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Question # 17
The direction cosines of y-axis are
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1, 0, 0
0, 1, 0
0, 0, 1
1, 1, 1
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Question # 18
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Question # 19
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Question # 20
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I and III quadrants
II and III quadrants
I and II quadrants
II and IV quadrants
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Question # 21
The number of subsets of a set having three elements is
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4
6
8
none of these
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Question # 22
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Question # 23
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Question # 24
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 # 25
If a,b,c are unit vectors then |a + b|2 +|a - b|2
Choose an answer
4
8ab
9cos
4(a,b)
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Question # 26
Tangent is ...............function
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Inverse
one-one
in-to
Periodic
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Question # 27
If 3x4 +4x3+x5is divided by x+1 , which of the following is the remainder
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7
-2
6
1
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Question # 28
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Singleton set
A set with two points
Empty set
None of these
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Question # 29
If A=B, then
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A⊂B and B⊂A
A⊆B and B⊈A
A⊆B and B⊆A
None of these
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Question # 30
Choose an answer
-8
8
8i
32
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Question # 31
Domain of y = scs x is
Choose an answer
All real numbers except π/2 + n*π
R
All negative integers
None of these
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