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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The point ________ is in the solution of the inequality 4x - 3y < 2
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(0,1)
(2,1)
(2,2)
(3,3)
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Question # 2
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quadratic function
constant function
trigonometric function
linear function
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Question # 3
Find the geometric mean between 4 and 16
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Question # 4
If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a
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parabola
circle
hyperbola
ellipse
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Question # 5
How many arrangements of the letters of the word MATHEMATICS can be made
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Question # 6
If w is a cube root of unity then 1 + w + w
2
= ______
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1
2
0
-1
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Question # 7
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Question # 8
In R the number of identity element w.r.t '+' is
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One
Two
Three
Four
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Question # 9
√11 is
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an irrational number
Rational number
odd number
Negative number
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Question # 10
What is range of the function g (x) =|x-3|?
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[0 ,∞ )
(0 ,∞)
(-∞ ,3]
[0,∞)
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Question # 11
The multiplicative inverse of 2/3 is
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3/2
-2/3
-3/2
1
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Question # 12
If A and B are two matrices such that AB = B and BA = A then A2 + B2 =
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2 AB
2 BA
A + B
AB
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Question # 13
(x +a)(x +b)(x +c)(x +) = k, k≠0 is reducible to quadratic form only if
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a+b=c+d
a+c=b+d
a+d=b+c
All are correct
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Question # 14
The sides of a right angled triangle are in A.P The ratio of sides is
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1:2:3
3:4:5
2:3:4
5:8:3
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Question # 15
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Question # 16
Which of the following is a scalar.
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electric field
magnetic field
weight
mass
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Question # 17
The set { 1 , -1} is closed w.r.t.
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Addition
Multiplications
Subtraction
None of these
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Question # 18
For a square matrix A, if A = A
t
, then A is called
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matrix
Transpose
Symmetric
Non-symmetric
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Question # 19
The point of concurrency of the medians of the ΔABC is called its
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Orthocenter
Centriod
Circumcentre
Incentre
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Question # 20
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Question # 21
f(x) = ax + b will be an identity function if
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a = 1 , b = 1
a = 1 , b = 0
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Question # 22
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Question # 23
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Question # 24
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0
1
-1
None of these
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Question # 25
If l, m, n are the d.c.'s of a line, then
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l2+ m2+ n2= 0
l2+ m2+ n2= 1
l + m + n = 1
l = m = n = 1
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Question # 26
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Question # 27
(1, 2) is in the solution of the inequality
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2x + y > 8
2x + y
<
6
2x - y > 1
2x + 3y < 2
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Question # 28
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 # 29
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Question # 30
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π
π/6
-
π/2
2
π
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Question # 31
The sum of the even coefficients in the expansion (1 + x)
n
is
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n
2
2
n-2
2
n-1
2
n
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