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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The set of natural is a semi group w.r.t
Choose an answer
Addition
Division
Subtraction
None of these
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Question # 2
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 # 3
The geometrical representation of a linear function is
Choose an answer
Circle
Parabola
Straight lie
None of these
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Question # 4
A line segment whose end points lie on a circle is called
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the secant of the circle
the arc of the circle
the chord of the circle
the circumference of the circle
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Question # 5
5 unbiased coins coins are tossed simultaneously. The probability of getting at least one head is
Choose an answer
1 / 32
31 / 32
1 / 16
None of these
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Question # 6
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Question # 7
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Question # 8
Choose an answer
Commutative law of multiplication
Closure law of multiplication
Associative law of multiplication
Multiplication identity
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Question # 9
the largest degree of the terms in the polynomials is called
Choose an answer
terms of the polynomial
degree of a polynomial
co-efficient
monomial
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Question # 10
There are 25 tickets bearing number from 1 to 25. One ticket is drawn at random. The probability that the number on it is a multiple of 5 or 6 is
Choose an answer
7 / 25
9 / 25
11 / 25
None of these
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Question # 11
Choose an answer
sin h x
cos h x
sec h x
cosec h x
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Question # 12
The set (Z,+) forms a group
Choose an answer
Forms a group w.r.t addition
Non commutative group w.r.t multiplication
Forms a group w.r.t multiplication
Doesn't form a group
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Question # 13
Find the next two terms of 7, 9, 12, 16,...
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18, 20
19, 22
20, 25
21, 27
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Question # 14
The feasible region which can be enclosed within a circle is called
Choose an answer
Bounded region
Convex region
Unbounded region
None
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Question # 15
The distance of the point (-2 , -3) from x-axis is
Choose an answer
2
-3
3
5
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Question # 16
A circle drawn inside a triangle and touching its sides is called
Choose an answer
In-circle
Circum circle
Escribed circle
None of these
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Question # 17
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Question # 18
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Question # 19
If 2x
1/3
+ 2x
-1/3
= 5, then x is equal to
Choose an answer
1 or -1
2 or 1/2
8 or 1/8
4 or 1/4
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Question # 20
If t is the parameter for one end of a focal chord of the parabola y
2
= 4ax, then its length is
Choose an answer
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Question # 21
Any point, where f is neither increasing nor decreasing and f(x) = 0 at that point, is called a
Choose an answer
Minimum
Maximum
Stationary point
Constant point
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Question # 22
The value of sin [ arc cos (-1/2)] is
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Question # 23
1/2,1/3,1/4,1/5.........is
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a geometric sec
an arithmetric series
finite sequence
an infinite sequece
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Question # 24
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Question # 25
Choose an answer
none of these
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Question # 26
If the expansion of (1 + x)
20
, then co-efficient of rth ad (r + 4)th term are equal, then r is
Choose an answer
7
8
9
10
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Question # 27
Choose an answer
none of these
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Question # 28
The total number of subsets that can be formed out of the set {a, b, c} is
Choose an answer
1
4
8
12
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Question # 29
∀a,b ε R, ab = be is a
Choose an answer
Commutative law of multiplication
Closure law of multiplication
Associative law of multiplication
Multiplicative identity
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Question # 30
202.04 is an example of
Choose an answer
Recurring decimals
Non-recurring decimals
Terminating decimals
None of these
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Question # 31
The set {x|x∈N∧x-4=0} in tabular form is
Choose an answer
{-4}
{0}
{}
None of these
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