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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
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π
π/6
-
π/2
2
π
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Question # 2
Which of the following ordered pair is a solution of the inequality x+2y<6?
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(2,3)
(2,2)
(6,0)
(1,1)
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Question # 3
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xa
x-1
a
x
x in a
a
x
In a
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Question # 4
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Question # 5
Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =
Choose an answer
4
3
2
1
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Question # 6
If A and B are two disjoint events then
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P(A∪B)=P(A)+P(B)
P(A∪B)=P(A)-P(A∪B)
P(A∪B)=P(A)or P(B)
None
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Question # 7
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Question # 8
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all
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Question # 9
The set (Z,+) forms a group
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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 # 10
When we expand (a + 2b)
5
then
Choose an answer
a
5
+ 10a
4
b + 40a
3
b
2
+ 80a
2
b
3
+ 80ab
4
+ 32b
5
a
5
+ a
4
b + a
3
b
2
+ a
2
b
3
+ ab
4
+ b
5
5a
5
+ 4a
4
b + 3a
3
b
2
+ 2a
2
b
3
+ 1 ab
4
+ b
5
None
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Question # 11
ax2 +2hxy +by2 +2gx +2fy +c =0 may represent an ellipse if
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h2 -ab <0
h2 -ab≠ 0
h2 -ab =0
h2 -ab >0
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Question # 12
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Question # 13
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Question # 14
What is the period of sin 2x/3 cos 4x=?
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π
2π
π/2
π/3
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Question # 15
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none of these
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Question # 16
(x
3
-1/2x)
6
is
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15/16 x
2
2/13 x
2
17/7 x
2
16/15 x
2
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Question # 17
If sin
α
and cos
α
are the roots of the equation px
2
+ qx + r =0, then
Choose an answer
p
2
- q
2
+ 2pr = 0
(p + r)
2
= q
2
- r
2
p
2
+ q
2
- 2pr = 0
(p - r)
2
= q
2
+ r
2
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Question # 18
The law of consines is
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Question # 19
If the roots of x
2
+ ax + b = 0 are non-real, then for all real x, x
2
+ ax + b is
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Negative
Positive
Zero
Nothing can be said
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Question # 20
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 21
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Question # 22
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Question # 23
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Question # 24
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Question # 25
The set (Z, +) forms a group
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Forms a group w.r.t addition
Forms a group w.r.t multiplication
Non commutative group w.r.t multiplication
Doesn't form a group
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Question # 26
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Question # 27
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Question # 28
Two tangents drawn from (2,3) to the circle x2+y2 =9 are
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Real and distinct
Imaginary
Real and coincident
None of these
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Question # 29
The fifteenth term of (3-a)
15
is
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-17a
12
-945a
13
-941a
13
-515a
12
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Question # 30
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none of these
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