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ECAT Mathematics Online Test MCQs With Answers
Question # 1
Roots of the equation x
2
+ 7x + 12 = 0 are
Choose an answer
{3, -4}
{-3, 4}
{3, 4}
{-3, -4}
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Question # 2
The product of the four fourth roots of unity is
Choose an answer
0
1
-1
None of these
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Question # 3
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Question # 4
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1
-1
0
I
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Question # 5
If D = {a} , the P(D) =
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{a}
∅
{∅,{a}}
{∅,a}
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Question # 6
The expansion of (1 + 2x)
-2
is valed if
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| x | < 1/2
| x | < 1
| x | < 2
| x | < 3
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Question # 7
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Question # 8
The line through the focus and perpendicular to the directrix is called ______ of the parabola
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axis
focal chord
tangent
latus rectum
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Question # 9
Domain of cosec
θ
is
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Question # 10
The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is
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2 x 3
3 x 2
2 x 5
5 x 2
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Question # 11
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Question # 12
The angle of depression of a point A on the ground from the top of the tower is 30𝜊,then the angle of elevation of the top of the tower at the point A is
Choose an answer
60𝜊
40𝜊
41𝜊
30𝜊
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Question # 13
The negative square root of 9 can be written as:
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-√9
√9
√18
-√18
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Question # 14
The behavior of trigonometric function is called
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Continuity
Discontinuity
Periodicity
Smoothness
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Question # 15
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1
0
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Question # 16
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Trichotomy property
Additive property of inequality
Transitive property
Multiplicative property
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Question # 17
Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is
Choose an answer
k = 9
k = ±9
k=-9
k=11
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Question # 18
If x+y+z+......+2n = 2n+1-1∀n∈W,then cube root of xyz is equal to
Choose an answer
1
4
2
8
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Question # 19
A dice is rolled. The probability that the dots on the top are greater than 4 is
Choose an answer
1/6
1/3
1/2
1
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Question # 20
The sum of co-efficient in (1+x-3x
2
)
4163
is
Choose an answer
0
1
-1
None
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Question # 21
For three consecutive terms in A.P middle term is called
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A.M
nth term
Central term
None of these
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Question # 22
Choose an answer
No solution
One real solution
More than one real solution
None of these
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Question # 23
Multiplying each side of an inequality by (-1) will:
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Not effect
Change the sign
Become zero
Not defined
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Question # 24
0.25 is ______
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An irrational number
A natural number
A prime number
A rational number
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Question # 25
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1
-1
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Question # 26
99th term of the series 2 + 7 + 14 + 23 + 34 + ..... is
Choose an answer
9998
9999
10000
None of these
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Question # 27
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Two real roots
Two positive roots
Two negative roots
One positive and one negative root
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Question # 28
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1
12
5
29
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Question # 29
If (0,4) and (0,2) are vertex and focus of the parabola respectively, the the equation of the parabola is:
Choose an answer
x
2
= 4y -32
x
2
=8y -32
y
3
= 16 x
x2 + 8y =32
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Question # 30
Through how many radians does the minute hand of a clock turn in one hour
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Question # 31
The roots of the equation ax
2
+ bx + c = 0 are complex/imaginary if
Choose an answer
b
2
- 4ac < 0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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