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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
2
π
+
θ
will have terminal side in Quad
Choose an answer
I
II
III
IV
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Question # 2
A point of a solution region where two of its boundary lines intersect, is called
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Boundary
Inequality
Half plane
Vertex
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Question # 3
A function whose domain is a subset of natural numbers is called ______
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Identity function
Sequence
Onto function
Series
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Question # 4
Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0
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(1,4)
(4,2)
(3,1)
(4,1)
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Question # 5
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(g,f)
(-g,f)
(g,-f)
(-g,-f)
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Question # 6
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Question # 7
(x + 2)
2
= x
2
+ 4x + 4 is
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A linear equation
A cubic equation
A quadratic equation
None
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Question # 8
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I and II quadrants
I and III quadrants
II and III quadrants
II and IV quadrants
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Question # 9
Ifα,β are non-real roots of ax2 + bx +c =0 (a,b,c∈ Q),then
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α = β
αβ = 1
α = β
α = 1
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Question # 10
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A natural number
A rational number
An irrational number
A whole number
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Question # 11
If the exponent in the binomial expansion is 6, then the middle term is
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2nd
3rd
4th
5th
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Question # 12
Any point, where f is neither increasing nor decreasing and f(x) = 0 at that point, is called a
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Minimum
Maximum
Stationary point
Constant point
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Question # 13
The expansion of (1 - 3x)
-1
is valid if
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| x | < 1
| x | < 3
| x | < 1/3
None of these
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Question # 14
If you are looking a high point from the ground, then the angle formed is
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Angle of elevation
Angle of depression
Right angle
Horizon
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Question # 15
Choose an answer
25
16
5
0
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Question # 16
For every positive integers n 1+5+9+....+ (4n - 3) is
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n(2n - 1)
(2n - 1)
n - 1
n
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Question # 17
The roots of px2 - (p-q)x-q=0 are
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equal
Irrational
Rational
Imaginary
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Question # 18
The quadratic equation 8 sec
2
θ
- 6 sec
θ
+1 = 0 has
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Infinitely many roots
Exactly two roots
Exactly four roots
No roots
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Question # 19
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A = x, B = 1
A = 0, B = 2
A = -1, B = 1
A = x-1, B = x + 1
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Question # 20
Choose an answer
X = 100 sin
θ
X = 10 sin
θ
X = 100 sec
θ
None of these
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Question # 21
Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is
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2
3
4
1
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Question # 22
If P is a whole number greater than 1, which has only P and I are factors. Then P is called
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Wholw number
Prime number
Even number
Odd number
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Question # 23
The domain of y =√(x^2-9) is
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R
(0 , +∞)
(-∞ , -3 )∪ (3 , +∞)
(0 ,∞)
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Question # 24
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A
B
U
None of these
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Question # 25
If Sin A = sin B, cos A = cos B, then the value of A in terms of B is
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Question # 26
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 # 27
(a
-1
)
-1
=
Choose an answer
a
-1
a
-a
None of above
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Question # 28
When a selection of object is made without paying regard to the order of selection, it is called
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Sequence
Series
Combination
Permutation
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Question # 29
The tangents drawn from the point P to a circle are imaginary if
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P is on the circle
P is inside the circle
P is outside the circle
none of these
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Question # 30
Optimal solution is found by evaluation the objective function at
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All point of feasible region
Corner point
Origin
None
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Question # 31
Which of the following is skew symmetric matrix
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