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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
Three dice are thrown together. The probability of getting a total of at least 6 is
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103 / 108
10 / 216
93 / 108
None of these
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Question # 3
If f(x) = x
2
-x then f(1) is
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0
1
2
3
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Question # 4
{x : xε Z and x < 1} is
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Singleton set
A set with two points
Empty set
None of these
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Question # 5
i
is equal
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(1 , 0)
(0 , 1)
(1 , 1)
(0 , 0)
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Question # 6
If a > 0, b > 0, c > 0, then the roots of the equation ax
2
+ bx + c = 0 are
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Real and negative
Non-real with negative real parts
Real and positive
Nothing can be said
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Question # 7
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Question # 8
The domain of the principle sine function is
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Question # 9
cos
θ/2=
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Question # 10
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Commutative property of addition
Closure property of addition
Additive inverse
Associative property w.r.t. to addition
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Question # 11
The roots of ax2 + bx + c = 0 are always unequal if
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b2 - 4ac = 0
b2- 4ac ≠ 0
b2- 4ac > 0
b2- 4ac ≥ 0
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Question # 12
The distance between the points (2,3) and (3,2) is
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5
2
10
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Question # 13
If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is
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5
Equal to the moment of the force about origin
0
Cannot be found
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Question # 14
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all are correct
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Question # 15
3x + 4 < 0 is
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inequality
equation
identity
not inequality
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Question # 16
If f(x) = (-x)
2
then f(-2) is
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0
2
-4
4
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Question # 17
If x-2 and x-1 both are factors of x
3
-3x
3
+2x-4p, then P must equal to
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1
2
0
-2
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Question # 18
1/3 is ______
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A prime number
An integer
A rational number
An irrational number
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Question # 19
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Question # 20
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Question # 21
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Question # 22
If f(x) = -x
2
then f(-2) is
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-2
2
-4
4
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Question # 23
If A is a non singular matrix then A
-1
= ______
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Question # 24
The difference of two consecutive terms of an A.P. is called ______
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General term
Common ratio
Common difference
None of these
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Question # 25
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cot x + c
tan x + c
-cot x + c
-tan x + c
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Question # 26
A number A is called the arithmetic mean between a and b if a, A, b is ______
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Arithmetic sequence
Geometric sequence
Harmonic sequence
Arithmetic sequence
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Question # 27
p(x) = 2x
4
- 3x
3
+ 2x - 1 is polynomial of degree
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1
2
3
4
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Question # 28
The solution set of the equation |3x + 2| = 5 is
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Question # 29
The graph of the quadratic equation is
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Straight line
Circle
Parabola
elipse
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Question # 30
One minute is denoted by
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1
0
1'
1"
None of these
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Question # 31
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π
π/6
-
π/2
2
π
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