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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
For two events A and B if P(A) = P (A/B) = 1/4 and P(B/A) = 1/2, then
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A is sub-event of B
A and B are mutually exclusive
A and B are independent and P(A/B) = 3/4
None of these
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Question # 2
x = 1 is in the solution of the inequality
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x + 1 > 0
x - 2 > 0
3x - 1 < 0
x + 2 < 0
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Question # 3
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Question # 4
The set {{a,b}} is
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Infinite set
Singleton set
Two points set
None
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Question # 5
The value of x and y when (x + iy)2 = 5 - 4i
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x = 2, y = -1
x = -2, y = 1
x = 2, y = -i
x = 2, y = 2
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Question # 6
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Question # 7
A bag contains 7 whit, 5 black and 4 rd balls. If two balls are drawn at random from the bag, the probability that they are not of the same color is
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73 / 120
83 / 120
67 / 120
43 / 120
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Question # 8
Roots of the equation x
2
+ 2x + 3 = 0 are
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Real and equal
Real and distinct
Complex
None of these
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Question # 9
The unit vector along z-axis is
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none of these
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Question # 10
A subset of set of complex number whose elements are of the form (a,0) is called
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Real number
Complex number
Rational number
Irrational number
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Question # 11
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0
1
2
none of these
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Question # 12
In how many ways can 5 persons be seated at a round table
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5!
4!
3!
120
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Question # 13
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1
3
2-i
-1
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Question # 14
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0
1
2
3
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Question # 15
cot
θ
= sin 2
θ
if
θ
=
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Question # 16
If five triangles are constructed having sides of the lengths indicated below, the triangle that will NOT be a right triangle is
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8, 15, 17
3, 4, 5
12, 15, 18
5, 12, 13
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Question # 17
f(x) = ax + b will be a constant function if
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a = 1 , b = 1
a = 1 , b = 0
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Question # 18
The only function which is both even and odd is
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f(x) =α
f(x) = x
f(x) =0
Both A & B
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Question # 19
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 # 20
cos
θ/2=
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Question # 21
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Question # 22
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Question # 23
The number of permutation that can be formed from the letters of the word OBJECT is
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700
600
720
620
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Question # 24
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y + 1 = Ae
x
y + 1 = Axe
x
xe
x
= C
y + xe
x
= C
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Question # 25
The set of complex numbers forms a group under the binary operation of
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Addition
Multiplication
Division
Subtraction
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Question # 26
The domain of the principle sine function is
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Question # 27
The symbol of irrational is
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W
N
Q
Q'
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Question # 28
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e
x
+ c
e
-x
+ c
x e
x
+ c
not possible
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Question # 29
The equation |x +4| = x has solution
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x = -2
x = 2
x = -4
x = 4
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Question # 30
The eccentricity of parabola is:
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1
0
Greater than 1
Less than 1
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Question # 31
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