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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Given two independent event A and B such that P(A) = 0.30 and P(B) = 0.60. Probability of getting neither A nor B is
Choose an answer
0.28
0.13
0.12
0.42
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Question # 2
2.333....is a
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Irrational no
Complex no
Rational no
None of these
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Question # 3
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 # 4
(fog)′(x) =f′(g(x))g′(x) is derivative by
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Chain rule
Reciprocal rule
Power rule
Product rule
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Question # 5
The greatest term in the expansion of (3+2x)
9
, when x=1 is
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4th
4th and 5th
5th
6th
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Question # 6
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Question # 7
An open sentence formed by using the sign of equality "=" is called
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Equation
In equation
True sentence
False sentence
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Question # 8
Geometric mean between a and b is
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Question # 9
A square matrix A = [aij] is upper triangular when
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cij = 0
bij = 0
aij = 0 for all i > j
dij = 0
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Question # 10
The central angle of an arc of a circle whose length is equal to the radius of the circle is called one
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Degree
Second
Minute
Radian
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Question # 11
If the sum of even coefficients in the expansion of (1+x)n is 128 then
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n=7
n=9
n=8
None
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Question # 12
If cos 20°=K and cos x=2 k
2
-1, then the possible values of x between 0° and 360° are
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140°
50° and 140°
50° and 130°
40° and 320°
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Question # 13
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Question # 14
For different values of k equation 4x+5y =k represents
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Parallel lines
Lines parallel to x -axis
Perpendicular lines
Lines parallel to y -axis
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Question # 15
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Question # 16
When we expand (a + 2b)
5
then
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a
5
+ 10a
4
b + 40a
3
b
2
+ 80a
2
b
3
+ 80ab
4
+ 32b
5
a
5
+ a
4
b + a
3
b
2
+ a
2
b
3
+ ab
4
+ b
5
5a
5
+ 4a
4
b + 3a
3
b
2
+ 2a
2
b
3
+ 1 ab
4
+ b
5
None
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Question # 17
If the intersecting plane is parallel to a generator of the cone, but intersects its one nappe only, the curve obtained is
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an ellipse
a hyperbola
a circle
a parabola
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Question # 18
The conic ax2+2hxy+by2+2gx+2fy+c= 0 never represent a circle if
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a≠ b,h≠0
a=b
h≠0
h=0
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Question # 19
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Question # 20
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Imaginary
Rational
Irrational
Real numbers
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Question # 21
sin -1(sin2π/3) =
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π/2
2π/3
-3π/2
π/3
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Question # 22
The value of i
4n+1
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1
-1
i
i
2
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Question # 23
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Question # 24
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Question # 25
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Question # 26
w
15
= ______
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0
1
w
w
2
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Question # 27
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1
0
-2
3
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Question # 28
If
∀a,b ε R,then a +b ε R is a property
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Closure law of addition
Associative law of addition
Additive inverse
Additive identity
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Question # 29
Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |A| =
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Question # 30
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cos x
- sin x
- cos x
tan x
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Question # 31
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1 / 2
1 / 3
1 / 4
None of these
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