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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
The line 2x +√6y =2 is a tangent to the curve x2 -2y2 =4 The point of contact is
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(√6,1)
(2,3)
(7,-2√6)
(4,-√6)
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Question # 2
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12
13
14
15
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Question # 3
The equation of vertical asymptotes of y = cos ecx is
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x = 0
y = 0
x =∞
y =∞
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Question # 4
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Question # 5
The order of the matrix A is 3 x 2 and that of B is 2 x 3. The order of the matrix BA is
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3 x 3
3 x 2
2 x 5
5 x 2
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Question # 6
The multiplicative inverse of (a,b) is
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Question # 7
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Improper rational fraction
Proper rational fraction
Polynomial
Equation
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Question # 8
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 # 9
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Question # 10
Which of the following does not represent absolute value of a vector
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magnitude
length
norm
number
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Question # 11
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Question # 12
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Question # 13
For two vector a and b, a+b = _______
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a b
b+a
b-a
None
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Question # 14
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Question # 15
(ABC)' =
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CBA'
CBA
C'B'A
C'B'A'
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Question # 16
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Question # 17
In R the left cancellation property w.r.t addition is
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Question # 18
The conic is a parabola, when:
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ᵨ > 1
ᵨ < 1
ᵨ = 1
ᵨ = 0
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Question # 19
A series consisting of an unlimited number of terms is termed as an
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Finite sequence
Infinite sequence
Infinite series
geometric sequence
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Question # 20
√2 is a number
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Rational
Irrational
Even
Odd
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Question # 21
Consider the equation px2 + qx + r = 0 where p,q,r are real The roots are equal in magnitude but opposite in sign when
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q = 0, r = 0,p ≠ 0
p = 0,qr≠ 0
r = 0,pq≠ 0
q = 0, pq≠ 0
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Question # 22
Which of the following is the definition of singleton
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The objects in a set
A set having no element
A set having no subset
None of these
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Question # 23
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- cos x
sin x
- sin x
sec x
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Question # 24
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Question # 25
(A∪B)∪C= --------------------------
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A∩B(B∪C)
A∪(B∪C)
A∪(B∩C)
None of these
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Question # 26
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Question # 27
If b
2
- 4ac is positive then the roots of the equation are
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Real
Imaginary
Positive
Negative
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Question # 28
If G is a G.M between a and b then a,G,b are in
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A.P
H.P
G.P
None of these
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Question # 29
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In f(x) + c
f(x) - c
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Question # 30
s > t then
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(s - t)
2
> (t - s)
2
(s - t)
2
< (t - s)
2
(s - t)
2
= (t - s)
2
None
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Question # 31
Geometric mean between a and b is
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