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Online Tests
ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
An unbiased die is thrown. Then the probability of getting a prime is
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1/2
2/3
3/4
None of these
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Question # 2
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Question # 3
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Question # 4
i
-(4n+2)
= -------------------------------
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1
i
-1
-i
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Question # 5
The domain of a finite sequence is a
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Set of natural numbers
R
Subset of N
Proper subset of N
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Question # 6
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Question # 7
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Question # 8
θ and 2kπ+θ are the ________ angles
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Quadrantal angles
Coterminal
Allied
None
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Question # 9
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 # 10
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- cot 4x + c
cot 4x + c
tan 4x + c
- tan 4x + c
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Question # 11
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none of these
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Question # 12
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Question # 13
The slope of the normal at (5 cos, 0, 5 sin 0) to the circle. x
2
+y
2
= 25 is:
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tan𝜽
cos𝜽 /sin𝜽
-cot𝜽
- tan𝜽
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Question # 14
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Question # 15
The set of first elements of the ordered pairs in a relation is called its
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domain
range
relation
function
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Question # 16
The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is
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2 x 3
3 x 2
2 x 5
5 x 2
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Question # 17
E-radius corresponding to < C is
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Question # 18
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2s
2
2s
3
s
3
3s
3
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Question # 19
The set {0,-1} hold closure property under
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Addition
Both a & c
Multiplication
None of these
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Question # 20
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6x - 2 + c
x
3
- x
2
+ x + c
6x - x
2
+ c
6x
3
- x
2
+ c
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Question # 21
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Question # 22
If (a, b) is the mid-point of a chord passing thro' the vertex of the parabola y
2
= 4x, then
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a = 2b
2a = b
a
2
= 2b
2a = b
2
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Question # 23
The proposition S(n) for any n∈ N is only true if k∈ N and
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S(k +1) is true
S(1) is true and S(k+1) is true whenever S (k) is true
S(k+1) is true whenever S (k) is true
S(k) is true
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Question # 24
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Question # 25
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An empty set
Universal set
A singleton set
None of these
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Question # 26
If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the curve of intersection is:
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an ellipse
a circle
a parabols
a hyperbola
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Question # 27
The angle between the vectors 3i + j - k and 2i - j + k is
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Question # 28
Given two numbers a and b. Let A denote the single A.M. between these and S denote the sum of n A.M.'s between them. Then S/A depends upon
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n, a, b
n, a
n, b
n
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Question # 29
A committee consists of 9 experts taken from three institutions A, B, and C, of which 2 are from, A, 3 form B and 4 from C. If three experts resign, then the probability that they belong to different institutions is
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1 / 729
1 / 24
1 / 21
2 / 7
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Question # 30
cos(a +β)-cos(a-β) = _______;
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2cosa cosβ
2sina cosβ
-25 in a cosβ
-2sin a sinβ
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Question # 31
The point ________ is in the solution of the inequality 2x - 3y < 4
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(0, -2)
(1, -3)
(2, 2)
(3, 0)
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