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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
A function whose range is just one elements is called
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One-one function
Constant function
Onto function
Identity function
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Question # 4
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Question # 5
Every real number is
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a positive integer
a rational number
a negative integer
a complex number
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Question # 6
x = ________ is in the solution of 2x + 3
>
0
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1
-2
-3
-4
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Question # 7
If A(x
1
, y
1
) , B(x
2
, y
2
) and C(x
3
, y
3
) are the vertices of a triangle then its centroid is
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Question # 8
The distance of the point (a, b) from x-axis is
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a
b
a + b
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Question # 9
If a
1
and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is
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0
a
1
r
n-1
a
1
r
n+1
a
1
r
n
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Question # 10
tan
θ
/2
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Question # 11
If origin is the mid point of (a, -3) and (-5, b) then
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a = -5 , b = -3
a = 5 , b =3
a = -5 , b = 3
a = 5 , b = -3
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Question # 12
The triangle that does not have a right angle is called.
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Isosceles triangle
right angle triangle
equivalent triangle
oblique triangle
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Question # 13
The area under the curve y = 1/x
2
between x = 1 and x =4 is:
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-25
0.75
-0.35
-10
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Question # 14
The area of the circle centred at (1,2) and passing through (4,6) is
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30 πsq.units
5π sq.units
15π sq.units
25π sq.units
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Question # 15
For any positive integer n
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ABn = Bn A ⇔ AB = BA
ABn = Bn A⇔ A,B are square matrices and AB = BA
ABn = BnA⇔ A + B
ABn = BnA ⇔ A and B are square matries
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Question # 16
The coefficient of the third term of (8a-b)
1/3
, after simplification is
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-228
1/288
1/220
-1/177
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Question # 17
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Question # 18
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 # 19
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sec x tan x
cos
2
x
sin
2
x
sec
2
x
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Question # 20
If there are m rows and n columns in a matrix then its order is
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m x n
m x m
n x n
n x m
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Question # 21
Tan 2
θ=
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Question # 22
The curve f(x,y) = 0 has a central symmetry if
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f(-x,-y)=f(x,y)
f(x,-y)=f(x,y)
f(-x,y)=f(x,y)
f(-x,-y)≠f(x,y)
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Question # 23
The multiplicative inverse of 2/3 is
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3/2
-2/3
-3/2
1
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Question # 24
If S and P are the sum and the product of roots of a quadratic equation, then the quadratic equation is
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x
2
+ Sx - P = 0
x
2
- Sx + P = 0
x
2
- Sx - P = 0
X
2
+ Sx + P = 0
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Question # 25
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Question # 26
Range of cosec x is ______
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{-1, 1}
R
Negative real numbers
R - { x | - 1 < x < 1}
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Question # 27
Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =
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4
3
2
1
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Question # 28
sin h x = ___________
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Question # 29
There are ______ basic techniques for solving a quadratic equation
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Two
Three
Four
None of these
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Question # 30
Rank of matrix [1 3 5 0] is
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1
3
2
4
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Question # 31
Associative law of multiplication
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ab = ba
a(bc) = (ab) c
a(b+c) = ab + ac
(a + b)c = ac + bc
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