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ECAT Mathematics Online Test MCQs With Answers
Question # 1
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0
1
8
∞
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Question # 2
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a = -1/2, b = -1
a = 1, b = 2
a = 2, b = 3
None of above
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Question # 3
The order of the matrix [1 2 3] is
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1 x 1
3 x 3
3 x 1
1 x 3
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Question # 4
For a square matrix A, if A = At, then A is called
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Matrix
Transpose
Symmetric
Non-symmetric
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Question # 5
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Question # 6
In common logarithm the base is
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1
0
10
e
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Question # 7
The property used in -3 <-2 ⇒0 <1
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Commutative property
Additive property of inequality
Additive inverse
Additive identity
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Question # 8
sin (
α +
β)=
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sin
α
cos
β
- cos
α
sin
β
sin
α
cos
β
- cos
α
sin
β
sin
α
cos
α
- cos
β
sin
β
sin
α
cos
α
+ cos
β
sin
β
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Question # 9
The number of subsets of a set having three elements is
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4
6
8
none of these
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Question # 10
The condition for ax2 + bx c to be expressed as the product of linear polynomials is
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b4 - 4ac =0
b4- 4ac ≥0
b4- 4ac <0
b4= 4ac
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Question # 11
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1
-1
0
I
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Question # 12
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0
20
90
80
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Question # 13
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
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20 m
40 m
60 m
80 m
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Question # 14
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n if n is even
0 for any natural number n
1 if in odd
None of these
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Question # 15
If the sum of co-efficient in the expansion of (a+b)
n
is 4096, then the greatest co-efficient in the expansion is
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1594
792
924
2924
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Question # 16
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Question # 17
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y + 1 = Ae
x
y + 1 = Axe
x
xe
x
= C
y + xe
x
= C
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Question # 18
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Question # 19
If x
2
- 7x + a has remainder 1 when divided by x + 1, then a = ______
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-7
7
0
None of these
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Question # 20
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Question # 21
If circumference of circle is divided into 360 congruent parts the angle subtended by one part at the centre of circle is
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1 degree
1 second
1 minute
1 radian
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Question # 22
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Question # 23
The approximate increase in the area of a circular disc if its diameter increased form 44cm to 44.4cm is
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0.4cm
8.8πcm
17.6 πcm
35.2πcm
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Question # 24
Equation of parabola with focus F(-3,1) directrix x=3 is
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(y -1)2 =-12x
(y-1)2 =4x
(x+3)2 =4a(y-1)
y2 =-12(x-1)
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Question # 25
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Question # 26
What is the circular measure of the angle between the hands of a watch at 4 O'clock
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Question # 27
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Principle of equality of fractions
Rule for product of fractions
Golden rule for fractions
Rule for quotient of fractions
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Question # 28
The term involving x
4
in the expansion (3-2x) is
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217x
4
15120x
4
313x
4
-25x
4
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Question # 29
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-1
0
1
undefined
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Question # 30
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Question # 31
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120
5
4
6
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