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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The set of all antiderivaties of f(= ∫f(x)dx) is the
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Definite integral
Indefinite integral
Integral
Area
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Question # 2
The slope of y-axis is
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0
undefined
1
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Question # 3
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Question # 4
The exact value of cos-1 (0) is
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π/2
-π/2
3π
π-π/6
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Question # 5
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Question # 6
If A = {2m/m
3
= 8 , m€ Z} then A =
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{1,8,27}
{4}
(2,4,6}
{2,16,54}
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Question # 7
If 2x
1/3
+ 2x
-1/3
= 5, then x is equal to
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1 or -1
2 or 1/2
8 or 1/8
4 or 1/4
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Question # 8
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Question # 9
The distance of a moving particle at any instant t is x = 3t2 +1 then velocity of particle at t = 10 is
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50 cm/sec
60 cm/sec
61 cm/sec
None of these
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Question # 10
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 # 11
If n is any positive integer then 4
n
>3
n
+ 4 is true for all
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Question # 12
θ and 2kπ+θ are the ________ angles
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Quadrantal angles
Coterminal
Allied
None
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Question # 13
The solution set of the equation tan
-1
x - cot
-1
x = cos
-1
(2 - x) is
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[0, 1]
[-1, 1]
[1, 3]
None of these
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Question # 14
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Question # 15
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Question # 16
The point on y
2
= 4ax nearest to the focus has its abciassae equal to
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-a
a
a/2
0
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Question # 17
The sum of first n even number is
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n2
n(n+1)
n+1
n+2
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Question # 18
The line l is horizontal if
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m is undefined
m=0
m=1
m=0-1
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Question # 19
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An expression
Rational fraction
Equation
Identity
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Question # 20
The set {1, -1, i, -i}
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Form a group w.r.t addition
Form a group w.r.t multiplication
Does not form a group w.r.t multiplication
Not closed under multiplication
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Question # 21
The graph of a quadratic function is
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Circle
Straight line
Parabola
Triangle
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Question # 22
The proposition S(k+1) is true when ______ is true∀K∈N
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S(n)
S(k)
S(1)
S(k-1)
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Question # 23
In the expansion of (x+y)n the coefficient of 5th and 12th terms are equal then n=
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12
n=14
17
n=15
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Question # 24
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0
1
-2
10
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Question # 25
A square matrix A = [aij] is lower triangular matrix when
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aij = 0 for all i<j
bij = 0
cij = 0
dij = 0
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Question # 26
The transpose of a row matrix is a ______
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Zero matrix
Diagonal matrix
Column matrix
Row matrix
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Question # 27
{1, 2, 3} is _____
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an infinite set
A finite set
A singleton set
Universal set
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Question # 28
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 # 29
Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is
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-a
a +1
-1-a
None of these
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Question # 30
There are 25 tickets bearing number from 1 to 25. One ticket is drawn at random. The probability that the number on it is a multiple of 5 or 6 is
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7 / 25
9 / 25
11 / 25
None of these
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Question # 31
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2 x 2
2 x 3
3 x 2
3 x 3
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