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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
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Question # 3
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-a -b -c
1
0
-1
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Question # 4
Multiplicative inverse of "1" is
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+- 1
0
1
None of these
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Question # 5
Which of the following ordered pair is a solution of the inequality x+2y<6?
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(2,3)
(2,2)
(6,0)
(1,1)
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Question # 6
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0
1
1/2
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Question # 7
If the roots of 3x2+kx + 12 = 0 are equal then k = ______
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Question # 8
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 # 9
Period of 2 cos x is ______
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Question # 10
Two tangents drawn from (2,3) to the circle x2+y2 =9 are
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Real and distinct
Imaginary
Real and coincident
None of these
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Question # 11
The span of a standard parabola depends upon
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x
a
y
y2
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Question # 12
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x =0, y =4
x = -1, y = 2
x = 2, y = 3
x = 3, y = 4
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Question # 13
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15
15 i
-15 i
-15
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Question # 14
cos(a-β) = ______;
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sin a cosβ + cos a sinβ
sin a cos β - cos a sinβ
cos a cos β + sin a sinβ
cos a cosβ - sin a sinβ
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Question # 15
The distance of the point (a, b) from x-axis is
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a
b
a + b
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Question # 16
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(3, 1, -2)
(3, -2, 1)
(2, -1, 3)
(-1, -2, -3)
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Question # 17
The quadratic equation 8 sec
2
θ
- 6 sec
θ
+1 = 0 has
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Infinitely many roots
Exactly two roots
Exactly four roots
No roots
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Question # 18
The distance of the point (a,b) from y-axis is
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a
b
a + b
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Question # 19
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xa
x-1
a
x
x in a
a
x
In a
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Question # 20
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N
r
2r
π
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Question # 21
If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called
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1-1 and onto
Bijective
1-1 and into
None of these
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Question # 22
A circle is a limiting case of an ellipse whose eccentricity
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Tends to a
Tends to b
Tends to 0
Tends to a + b
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Question # 23
The exponent of x in 10th term in the expansion of (a+x)n
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10
12
11
9
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Question # 24
tan(cot
-1
x) is equal to
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cot(tan
-1
x)
tan x
secon x
None of these
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Question # 25
If a
1
= a
2
= 2, a
n
= a
n-1
- 1 (n > 2), then a
5
is
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1
0
-1
-2
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Question # 26
-2, 1, 4, 7,.... is ______
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Harmonic sequence
Arithmetic sequence
Geometric sequence
Arithmetic series
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Question # 27
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0
-1
1
2
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Question # 28
If a≠ , b≠ 0 and|a=b|=|a-b|,then vectors a and b are:
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Parallel to each other
Perpendicular to each other
Inclined at 60
o
neither parallel nor perpendicular
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Question # 29
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x-axis
y-axis
z-axis
None of these
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Question # 30
Domain of tan x is ______
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Question # 31
If l, m, n are the d.c.'s of a line, then
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l2+ m2+ n2= 0
l2+ m2+ n2= 1
l + m + n = 1
l = m = n = 1
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