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Online Tests
ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
The middle term of [1/x-x]
10
is
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-152
-252
371
-421
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Question # 2
If a plane passes through the vertex of a cone then the intersection is
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an ellipse
a hyperbola
a point circle
a parabola
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Question # 3
The points A(+1,-1),B(3,0),C(3,7),D(1,8) are vertices of
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Square
Parallelogram
Rectangle
Trapezium
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Question # 4
If (2, 3) is the mid point of (a, 3) and (5, b) then
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a = 1 , b = -3
a = -1 , b = 3
a = 1 , b =3
a = -1 , b = -3
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Question # 5
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Question # 6
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perpendicular vectors
concurrent vectors
parallel vectors
none of these
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Question # 7
√2 +√3 +√5) = (√2 +√3 +√5: this property is called
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associative property w.r.t addition
commutative property
Closure property w.r.t addition
Additive identity
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Question # 8
cos 315° = ______
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Question # 9
In R, the multiplicative inverse of a is
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0
1
-a
1/a
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Question # 10
If one root of 5x2 + 13x + k = 0 be the reciprocal of the other root the value of k is
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0
2
1
5
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Question # 11
sin(π/2+θ) = _______;
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sinθ
cosθ
-sinθ
-cosθ
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Question # 12
The order axioms are satisfied by set of
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C
C and R
R
None of these
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Question # 13
The roots of the equation ax
2
+ bx + c = 0 are complex/imaginary if
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b
2
- 4ac < 0
b
2
- 4ac = 0
b
2
- 4ac > 0
None of these
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Question # 14
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 # 15
Geometric mean between a and b is
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Question # 16
w
73
= ______
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0
1
w
w
2
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Question # 17
The conic is a parabola, when:
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ᵨ > 1
ᵨ < 1
ᵨ = 1
ᵨ = 0
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Question # 18
Number of terms in the expansion of (a+x)
n
is
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n - 1
n + 1
n + 2
n + 3
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Question # 19
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Question # 20
The greatest integer which divides the number 101
100
- 1 is
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100
1000
10000
100000
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Question # 21
The middle term of the expansion (1 + 2x)
6
is ______
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1st term
4th term
2nd term
5th term
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Question # 22
Range of sec
θ
is
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Z - {x | -1 < x < 1}
W - {x | -1 < x < 1}
R - {x | -1 < x < 1}
R
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Question # 23
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Question # 24
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The law of of sines
The law of tangents
The law of consines
None of these
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Question # 25
If n is any positive integer then n! > 2
n-1
for
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Question # 26
Two circle s1: x2+ y2 +2x- 2y- 7= 0: s2: x2+ y2- 6x+ 4y+ 9= 0
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Touch externally
Touch internally
Intersects each other
Do not intersects
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Question # 27
A box containing 10 mangoes out of which 4 are rotter. Two mangoes are taken together from the box. If one of them is found to be good, the probability that the other is also good is
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1 / 3
8 / 15
5 / 13
5 / 9
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Question # 28
∀x∈(a,b),f(x) is increasing if
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f′(x) >0
f′(x) <0
f′′(x) >0
f′′(x) =0
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Question # 29
A matrix with a single column is called
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Column matrix
Row matrix
Identity matrix
Null matrix
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Question # 30
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Question # 31
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1, 1/2, 0
1, 2, 1
1, 2, 3
1, 2, 0
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