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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The cube roots of 8 are
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Question # 2
In (x + iy) x is the known as
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Imaginary part of complex number
Real part of complex number
Complex number
None of above
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Question # 3
Two coins are tossed twice each. The probability that the head appears on the first toss and the same forces appear in the two tosses is
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1/4
1/2
1/3
1/7
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Question # 4
If a, b, c are the measures of the sides of a triangle then
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Question # 5
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 # 6
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Question # 7
There are ______ basic techniques for solving a quadratic equation
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Two
Three
Four
None of these
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Question # 8
w
28
+ w
38
= ______
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0
1
w
-1
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Question # 9
(0,0) is in the solution of the inequality
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x + y > 3
x - y > 2
3x + 2y > 5
3x - 2y < 2
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Question # 10
If a,β are the roots of the equation x2 + kx +12 = 0 such that a - β = 1, the value of k is
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0
±1
±5
±7
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Question # 11
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Question # 12
Sec
-1
x =
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Cos
-1
1/x
cosec
-1
1/x
Cos
-1
(-x)
Tan
-1
x
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Question # 13
The point of concurrency of the right bisectors of the sides of a triangle is called
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incentre
circum center
e-center
centroid
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Question # 14
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Question # 15
n!/(n-1)!=
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n
n!
(n-1)!
0!
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Question # 16
If the circle x
2
+ y
2
+ 2gx +2fy + c = 0 passes through the origin then
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c = 0
c = -1
c = -2
c = 1
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Question # 17
If you are looking a bird in the tree from the ground then the angle formed is called angle of______;
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Elevation
Depression
Right angle
None of these
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Question # 18
Name the property used in 4 + 9 = 9 + 4
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Associative property of addition
Commutative property of addition
Distributive property
Additive identity
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Question # 19
Let A and B be two sets. If every element of A is also an element of B then
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Question # 20
The number of 5-digit number that can be formed from the digits 1,2,4,6,8, when 2 and 8 are never together is
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72
48
144
20
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Question # 21
The roots of px2 - (p-q)x-q=0 are
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equal
Irrational
Rational
Imaginary
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Question # 22
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Question # 23
The integral of 3x
5
dx is:
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15 x
4
x
6
/2
1/6x
5
x
5
/ln3
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Question # 24
If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is
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5
Equal to the moment of the force about origin
0
Cannot be found
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Question # 25
A and B be two square matrices and if their inverse exist the (AB)-1 =
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A-1 B-1
AB-1
A-1B
B-1A-1
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Question # 26
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π
2π
π/2
None of these
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Question # 27
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Question # 28
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none of these
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Question # 29
The symbol ______ shall be used both for equation and identity
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Question # 30
Range of cot
θ
is
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(+
∞
to -
∞
)
(-1 to +1)
(-5 to +5)
Set of even numbers only
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Question # 31
i
3
=
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-1
i
-i
1
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