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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
The period sin
2
θ
is
Choose an answer
π
2
π
2
π
π/2
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Question # 2
In quadratic equation y=ax
3
+bx+c, if b and c are both zero then the graph is
Choose an answer
Symmetric w.r.t.y-axis
Symmetric w.r.t.x-axis
Straight Line
Circle
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Question # 3
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Question # 4
If G is the centroid of the triangle, then GA +GB+GC=
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0
1
-1
3
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Question # 5
If t is the parameter for one end of a focal chord of the parabola y
2
= 4ax, then its length is
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Question # 6
If u = xi + yj, then|u|
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x
2
+ y
2
(x
2
+y
2
)
2
x
2
-y
2
√(x
2
+y
2
)
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Question # 7
1
0
= ______
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Question # 8
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 9
If x + y + 1 = 0 touches the parabola y
2
=
λ
x, then
λ
is equal to
Choose an answer
2
4
6
8
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Question # 10
The ratio in which the line y- x+ 2 =0 divides the line joining (3,-1) and (8,9) is
Choose an answer
2:3
-2:3
3:2
-3:2
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Question # 11
Derivative of sin x w.r.t. sin x is
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0
1
sin x
cos x
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Question # 12
A non-homogeneous linear system AX = B has no solution if
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|A| = 0
|A|≠ 0
Rank (a) = no of variables
Rank > no of variables
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Question # 13
f(x) = ax + b will be a constant function if
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a = 1 , b = 1
a = 1 , b = 0
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Question # 14
The vector k = [0,0,1] is called unit vector along:
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x -axis
y - axis
z- axis
None of these
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Question # 15
There is no integer n for which 3n is
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Even
Prime
Odd
Real
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Question # 16
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Question # 17
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Question # 18
Power set of X i.e P(X) _______ under the binary operation of union U
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Forms a group
Does not form a group
Has no identity element
Infinite set although X is infinite
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Question # 19
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Associative law of addition
Commutative law of addition
Additive identity
Closure law of addition
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Question # 20
(a +b
i
) -c (c +d
i
) =
Choose an answer
(a +b) = (c +d)
(a +c) + i(b +d)
(a -c) + (c -d)
i
(a -c) +(b -d)
i
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Question # 21
Choose an answer
1
-1
0
None of these
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Question # 22
A dice is rolled. The probability that the dots on the top are greater than 4 is
Choose an answer
1/6
1/3
1/2
1
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Question # 23
The additive inverse of 2/3 is
Choose an answer
3/2
-2/3
-3/2
0
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Question # 24
In the expansion of (x+y)n the coefficient of 5th and 12th terms are equal then n=
Choose an answer
12
n=14
17
n=15
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Question # 25
A function whose range is just one elements is called
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One-one function
Constant function
Onto function
Identity function
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Question # 26
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Question # 27
Composition of functions is
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Non-commutative (fg ≠ gf)
non-associative [8(fh) ≠(8f)h]
Commutative (fg = gf)
f of-1≠ 1
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Question # 28
Domain of cot
θ
is
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Question # 29
Choose an answer
none of these
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Question # 30
A and B be two square matrices and if their inverse exist, the (AB)
-1
=
Choose an answer
A
-1
B
-1
AB
-1
A
-1
B
B
-1
A
-1
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