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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Choose an answer
One-one but not onto
One-one and onto
Onto but not one-one
Neither one-one nor onto
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Question # 2
The fifteenth term of (3-a)
15
is
Choose an answer
-17a
12
-945a
13
-941a
13
-515a
12
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Question # 3
The number of divisors of 1029, 1547 and 122 are in
Choose an answer
A.P.
G.P.
H.P.
None of these
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Question # 4
A function whose range is just one elements is called
Choose an answer
One-one function
Constant function
Onto function
Identity function
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Question # 5
Choose an answer
2 x 2
2 x 3
3 x 2
3 x 3
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Question # 6
The line Ax + By + C = 0 will touch the circle x
2
+ y
2
=
λ when
Choose an answer
C
2
=
λ
(A
2
+ B
2
)
A
2
=
λ
(A
2
+ C
2
)
B
2
=
λ
(A
2
+ C
2
)
None of these
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Question # 7
Choose an answer
cos x
sec x tan x
sec
2
x
-cosec
2
x
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Question # 8
The transpose of a column matrix is a ______
Choose an answer
Zero matrix
Diagonal matrix
Column matrix
Row matrix
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Question # 9
The roots of (x - a)(x - b) = ab x2 are always
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Real
Depends upon a
Depends upon b
Depends upon a and b
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Question # 10
If A and B are two disjoint events then
Choose an answer
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 # 11
The many subset can be formed from the set {a,b,c,d}
Choose an answer
8
4
12
16
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Question # 12
The coefficient of the third term of (8a-b)
1/3
, after simplification is
Choose an answer
-228
1/288
1/220
-1/177
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Question # 13
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Question # 14
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4A - 3I
3A - 4I
A - I
None of these
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Question # 15
i
2
=
Choose an answer
1
2
-1
0
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Question # 16
The domain and range of a trigonometric function can be allocate by their
Choose an answer
graph
Continuity
Discontinuity
Periods
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Question # 17
The order of the matrix [1 2 3] is
Choose an answer
1 x 1
3 x 3
3 x 1
1 x 3
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Question # 18
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1
2
-1
0
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Question # 19
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Less then 1
Equal to 1
Greater than 1 but less then 2
Greater then or equal to 2
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Question # 20
tan(3π/2 +θ)=______;
Choose an answer
tanθ
cotθ
-tanθ
-cotθ
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Question # 21
sin (sin
-1
(1/2))=
Choose an answer
0
2
∞
1/2
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Question # 22
Choose an answer
Does not exist because f is unbounded
Is not attained even though f is bounded
Is equal to 1
Is equal to -1
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Question # 23
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Question # 24
The sum of the odd coefficients in the expansion of (a + x)
4
is
Choose an answer
14
12
8
4
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Question # 25
The transport of a null matrix is
Choose an answer
Row matrix
Column matrix
Square matrix
Null matrix
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Question # 26
For each natural number n, n (n+1) is
Choose an answer
an even
an odd
multiple of 3
Irrational
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Question # 27
If A is a skew-symmetric matrix of order n and P, any square matrix of order n.prove that P' AP is
Choose an answer
Skew-symmetric
Symmetric
Null
Diagonal
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Question # 28
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Question # 29
Domain of tangent function is
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Question # 30
The intercepts of the plane 2x - 3y + 4z = 12 on the co-ordinate axes are given by
Choose an answer
2, -3, 4
6, -4, -3
6, -4, 3
3, -2, 1.5
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Question # 31
Digit in the unit place of the number 183! + 3
183
Choose an answer
7
6
3
0
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