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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
Total number of subsets that can be formed out of the set {a,b,c} is
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1
4
8
12
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Question # 2
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Zero matrix
Diagonal matrix
Column matrix
Scalar matrix
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Question # 3
2cos2 a/2 =______;
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1+sina
1-sina
1+cosa
1-cosa
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Question # 4
sin5θ+sin3θ = _______;
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2sin 4θ cosθ
2cos 4θ sinθ
2cos 4θ cosθ
-2sin 4θ sinθ
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Question # 5
If A is a non singular matrix then A
-1
= ______
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Question # 6
sin (
α +
β)=
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sin
α
cos
β
- cos
α
sin
β
sin
α
cos
β
- cos
α
sin
β
sin
α
cos
α
- cos
β
sin
β
sin
α
cos
α
+ cos
β
sin
β
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Question # 7
The value of sin-1 24/25 is equal to
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csc-1 25/24
sec-1 24/25
2 tan-1 4/5
2cos-1 24/25
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Question # 8
The largest possible domain of the function:
y=√(x ) is:
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(0 ,∞)
12
(3 , 12)
( 3 ,∞)
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Question # 9
Let a
1
, a
2
, a
3
, a
4
and a
5
be such that a
1
, a
2
, and a
3
are in A.P., a
2
, a
3
and a
4
are in G.P and a
3
, a
4
and a
5
are in H.P. Then, a
1
, a
3
and a
5
are in
Choose an answer
G.P.
A.P.
H.P.
None of these
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Question # 10
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28 / 81
28 / 243
81 / 28
243 / 82
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Question # 11
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p < r
p > rr
p + r < 0
p - r < 0
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Question # 12
f (x) = | x | is a/an
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Injective function
Bijective function
Surjective function
Implicit function
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Question # 13
The number of proper subset of A ={a.b.c.d} is
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3
6
8
15
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Question # 14
A dice is rolled. The probability that the dots on the top are greater than 4 is
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1/6
1/3
1/2
1
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Question # 15
A square matrix A for which A
t
= A is called a
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Column matrix
Symmetric matrix
Skew-symmetric matrix
Row matrix
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Question # 16
The set of positive integers, 0 and negative integers is known as the set of
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Natural numbers
Rational numbers
All integers
Irrational numbers
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Question # 17
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Question # 18
The tangents drawn from the point P to a circle are real and coincident 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 # 19
The difference of two consecutive terms of an A.P is called the
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Common difference
Common ratio
Geometric series
Geometric mean
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Question # 20
i
-(4n+2)
= -------------------------------
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1
i
-1
-i
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Question # 21
In (x +iy) y is called as
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Imaginary part
Complex number
Real part
None of above
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Question # 22
What is the period of tan 4/3 x =?
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π/4
4π/3
7π/4
3π/4
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Question # 23
The series obtained by adding the terms of a geometric sequence is called
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Infinite series
Arithmetic series
Geometric series
Harmonic series
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Question # 24
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The law of sines
The law of consines
The law of tangents
None of these
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Question # 25
n(n - 1) (n - 2) .... (n - r + 1) = ______
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Question # 26
If p and q are two statements then their biconditional 'p if q' is denoted by
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Question # 27
The number of non zero rows in echelon form of a matrix is called
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Order of matrix
Rank of matrix
Row operation
None of these
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Question # 28
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 hyperbola
a circle
a parabola
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Question # 29
If ab > 0 and a < 0, which of the following is negative?
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b
-b
-a
(a - b)
2
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Question # 30
Name the property used in 1000 x 1 = 1000
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additive inverse
multiplicative inverse
additive identity
multiplicative identity
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Question # 31
For graphing a linear inequality, solid line is drawn if the inequality involves the symbols:
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> or <
>
or
<
= or≠
= or >
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