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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Find a if 1 is a root of the equation x
2
+ ax + 2 = 0
Choose an answer
3
-3
2
0
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Question # 2
If 4 > b or a < b than a = b is a
Choose an answer
Additive property
Transitive property
Trichotomy property of inequality
None of above
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Question # 3
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Question # 4
The negation of a number
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a relation
a function
unary operation
binary operation
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Question # 5
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Question # 6
For which of the following ordered pairs (s, t) is s + t > 2 and s - t < -3?
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(3, 2)
(2, 3)
(1, 8)
(0, 3)
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Question # 7
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Question # 8
2x = 3 is a conditional equation it is true for
Choose an answer
2
3
3/2
2/3
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Question # 9
The fifth term of (a+2x3)17 is
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4013 x3a13
2208a13 x12
223x7a18
38080a13 x12
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Question # 10
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none of these
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Question # 11
The sum of all even numbers less than 100 is
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2450
2352
2272
2468
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Question # 12
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Question # 13
Choose an answer
none of these
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Question # 14
1st four terms of the expansion (1-x)
-2
are
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1 + 2x + 3x
2
+ 4x
3
3x
2
+ 2x + 1
1 + 3x + 4x
2
+ 5x
3
None of these
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Question # 15
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A variable
A constant
0
None of these
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Question # 16
The straight lines represented by the equation ax2+ 2hxy +by2 =0 intersects at
Choose an answer
(1,1)
(0,1)
(1,0)
(0,0)
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Question # 17
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1
2
3
4
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Question # 18
For any set B,B∪B' is
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Is set B
Set B'
Universal set
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Question # 19
Every real number is
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A complex number
A rational number
A natural number
A prime number
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Question # 20
IfΔABC is right, law of cosine reduce to
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Law of sine
Law of tangent
Phthogorous theorem
Hero's formula
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Question # 21
Range of tan x is ______
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[-1, -]
R
Negative real numbers
R - {x | - 1 < x < 1}
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Question # 22
The value of sin-1 24/25 is equal to
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csc-1 25/24
sec-1 24/25
2 tan-1 4/5
2cos-1 24/25
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Question # 23
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Question # 24
If (0, 0) and (-1, 0) are end points of a diameter, then the equation of the circle is
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Question # 25
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e
x
+ c
e
-x
+ c
x e
x
+ c
not possible
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Question # 26
If distance of (a,b) from x-axis is 2 then
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a = 2
b = 2
a = b
b = 4
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Question # 27
In common logarithm the base is
Choose an answer
1
0
10
e
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Question # 28
The upper 3/4 the portion of a vertical pole subtends an angle tan
-1
3/5 at a point in the horizontal plane through its foot and at a distance 40 m from the foot. A possible height of the vertical pole is
Choose an answer
20 m
40 m
60 m
80 m
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Question # 29
Choose an answer
-2
-1
1
2
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Question # 30
Choose an answer
-3 -2i
3 +2i
1 + 2i
1 - 2i
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Question # 31
The principal value of sin
-1
[-√(√3) /2] is
Choose an answer
5π/3
-2π/3
-
π/3
π/3
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