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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
A monoid (G, *) is said to be group if
Choose an answer
have identity element
is commutative
have inverse of each element
None of these
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Question # 2
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Question # 3
The area of a sector with central angle of 0.5 radians in a circular region whose radius is 2m is
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Question # 4
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Question # 5
The identity elements with respect to subtraction is
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0
1
-1
Does not exist
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Question # 6
Number of permutations of n distinct objects taken r(<n - 3) at a time which exclude 3(<n) particular objects is
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3! P(n, r - 3)
P(n, 3) P(n, r - 3)
P(r, r)P(n, r - 3)
P(n - 3, r)
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Question # 7
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The law of consines
The law of sines
The law of tangents
None of these
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Question # 8
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1
2
3
4
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Question # 9
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Principle of equality of fractions
Rule for product of fraction
Rule for quotient of fraction
Golden rule of fractions
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Question # 10
0 (zero) is
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An irrational number
A rational number
A negative integer
A positive number
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Question # 11
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Question # 12
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Question # 13
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Question # 14
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Rational
Irrational
Even
Odd
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Question # 15
A∪(A∪B)= --------------------
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B
A
A∪B
None of these
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Question # 16
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Question # 17
The range of function f(x)=-x2+2x-1 is
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R
(-∞,0]
(-∞,1]
[0,∞)
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Question # 18
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A = C
A = B
B = C
None of these
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Question # 19
Area of the circle with ends of a diameter at (-3,2) and (5,-6)
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128π sq. units
64π sq. units
32π sq.units
None of these
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Question # 20
If the terminal rays of an angle falls on any axis then the angle is called
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Allied angle
Acute angle
Standard position
Quadrantal angle
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Question # 21
How many signals can be given by 5 flags of different colours, using 3 flags at a time
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120
60
24
15
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Question # 22
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Commutative law of multiplication
Closure law of multiplication
Associative law of multiplication
Multiplication identity
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Question # 23
The 8th term of (1+2x)
-1/2
is
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-221/16 x
7
-225/18 x
7
-407/9 x
3
-429/16 x
7
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Question # 24
a chord passing through the focus of a parabola is called a:
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Focal chord
Latus rectum
Tangent
Directrix
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Question # 25
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x
y
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Question # 26
If x
2
- 7x + a has remainder 1 when divided by x + 1, then a = ______
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-7
7
0
None of these
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Question # 27
Area of the triangle whose vertices are (2,3),(0,1),(0,0) is
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6
2
4
1
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Question # 28
The maximum value of 12 sin
θ
-9 sin
2
θ
is x
Choose an answer
3
4
5
None of these
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Question # 29
The point _________ is in the solution of the inequality 2x + 3y < 5
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(1,1)
(2,2)
(0,1)
(0,2)
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Question # 30
Both the roots of the equation (x -b) (x - c ) + (x -c) (x-a) +(x-a) (x-b) = 0 are always
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Positive
Negative
Real
None of these
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Question # 31
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2
x
2
x
In x
2
x
In 2
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