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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
The points of intersection of the line y = 2x -3 and the circle x
2
+ y
2
- 3x =2y -3 = 0 are:
Choose an answer
two
three
less thean two
not intersect
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Question # 2
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Question # 3
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cos x
- sin x
- cos x
tan x
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Question # 4
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Question # 5
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Question # 6
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x =0, y =4
x = -1, y = 2
x = 2, y = 3
x = 3, y = 4
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Question # 7
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Question # 8
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6
20
0
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Question # 9
∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is
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Trichotomy property
Transitive property
Symmetric property
Additive property
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Question # 10
Which conjunction is not true ?
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Question # 11
The sum of the odd coefficients in the expansion of (a + x)
4
is
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14
12
8
4
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Question # 12
The function f(x) =|x| is a/an_______function
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Even
Odd
Both even as well as odd
Neither even nor odd
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Question # 13
2/9,5/7∈ R,(2│9)(5│7)=10/63∈R this property is called
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Associative property
Identity property
Commutative property
Closure property w.r.t multiplication
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Question # 14
If z
1
= 2 + 6i and z
2
= 3 + 7i, then which expression defines the product of z
1
and z
2
?
Choose an answer
36 + (-32)i
-36 + 32i
6 + (-11)1
0, +(-12)i
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Question # 15
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25
16
5
0
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Question # 16
What is the period of 6 sin x=?
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π
-π
π/2
2π
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Question # 17
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Question # 18
Six boys and 3 girls are to be seated at random, in a row, for a photograph. The probability that no two girls will sit together is
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1/12
1/6
5/12
7/12
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Question # 19
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1
0
5
2
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Question # 20
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Question # 21
Sum of first n terms of an arithmetic series is
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Question # 22
The period of cosec 10x is _______
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Question # 23
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 # 24
Corner point of the system x - y≤ 2,x + y≤ 4,2x -y≤ 6,x≥ 0,y≥ 0
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(1,4)
(4,2)
(3,1)
(4,1)
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Question # 25
If distance between (3,b) and (0,0) is 3 then b = _______
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3
9
0
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Question # 26
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Question # 27
2x
3
+ 3x + 9 is a ______
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Polynomial of degree 3
Quadratic equation
Cubic equation
Polynomial of degree 2
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Question # 28
If n∈Z+ then(a+x)n is a/an
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Finite series
Convergent series
Infinite series
Divergent series
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Question # 29
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Question # 30
The period of tan x/7 is
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3π
7π
15π
5π
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Question # 31
(0.90)
1/2
is equal to
Choose an answer
0.99
0.90
0.80
0.88
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