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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
How many signals can be given by 5 flags of different colours, using 3 flags at a time
Choose an answer
120
60
24
15
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Question # 2
The quadratic equation 8 sec2θ - 6 secθ +1 =0 has
Choose an answer
Infinitely many roots
Exactly two roots
Exactly four roots
No roots
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Question # 3
If x
3
+ ax
2
- a
2
x - a
3
is divided by x + a, then the remainder is
Choose an answer
0
a
3
2a
3
-2a
3
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Question # 4
If A and B are two disjoint events then
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P(A∪B)=P(A)+P(B)
P(A∪B)=P(A)-P(A∪B)
P(A∪B)=P(A)or P(B)
None
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Question # 5
The range of the tangent function is
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all real numbers
-1 ≤ x ≥ 1
natural number
z
+
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Question # 6
If n € N , then n(n+3) is always
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Multiple of 3
Multiple of 6
odd
even
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Question # 7
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all
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Question # 8
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Question # 9
The additive identity of real number is
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1
2
1/2
0
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Question # 10
A diagonal matrix in which the diagonal elements are equal is called a
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Null matrix
Identity matrix
Scalar matrix
Row matrix
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Question # 11
A non-terminating, non-recurring decimal represent
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A natural number
A rational number
An irrational number
A prime number
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Question # 12
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Question # 13
0! = ______
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0
1
2
Not defined
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Question # 14
The discriminant of the quadratic equation ax
2
+ bx + c = 0 is
Choose an answer
b
2
+ 4ac
b
2
- 4ac
4ac - b
2
a
2
- 4ac
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Question # 15
If 4 > b or a < b than a = b is a
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Additive property
Transitive property
Trichotomy property of inequality
None of above
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Question # 16
AB is a vertical pole and C is its middle point. The end A is on the level ground and P is any point on the level ground other than A. the portion CB subtends and angle
β
at P. If AP : AB = 2 : 1 then
β
=
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Question # 17
The point which is closet to the focus of a parabola is:
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vertex
Chord
Focus
Directix
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Question # 18
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parallel vectors
perpendicular vectors
concurrent vectors
collinear vectors
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Question # 19
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Question # 20
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Singleton set
A set with two points
Empty set
None of these
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Question # 21
The area under the curve y = 1/x
2
between x = 1 and x =4 is:
Choose an answer
-25
0.75
-0.35
-10
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Question # 22
(a
-1
)
-1
=
Choose an answer
a
-1
a
-a
None of above
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Question # 23
Inverse of the function y-10x is
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y=logx
y=lnx
x=10y
x=10y
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Question # 24
A Geometric Series is divergent only if
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|r|>1
|r|≥1
|r|=1
None of these
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Question # 25
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Question # 26
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 # 27
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Question # 28
Every irrational number is
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A real number
A prime number
A natural number
An integer
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Question # 29
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Cos 2x = sin 4y
Cos 4y = cos 2x
Cos 3y = sin 4x
None of these
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Question # 30
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The law of sines
The law of consines
The law of tangents
None of these
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Question # 31
i
101
=
Choose an answer
i
i
2
-i
-1
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