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Online Tests
ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
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Question # 2
The point (1,3) is one solution of
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3x + 5y > 29
3x + 5y < 7
x + 2y < 4
x + 4y > 3
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Question # 3
The curve f(x,y) = 0 has a central symmetry if
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f(-x,-y)=f(x,y)
f(x,-y)=f(x,y)
f(-x,y)=f(x,y)
f(-x,-y)≠f(x,y)
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Question # 4
Range of sin
θ
is
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Question # 5
With usual notations b2 = a2 + c2 -2ac cos is called______;
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None of these
Law of sines
Law of consines
Law of tangents
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Question # 6
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none of these
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Question # 7
tan
-1
x > cot
-1
x holds for
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x > 1
x < 1
x = 1
All values of x
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Question # 8
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1.5
1.2
8
None of these
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Question # 9
Which of the vectors have opposite direction?
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Question # 10
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sec x tan x
-cosec x cot x
sec
2
x
-sin x
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Question # 11
i
3
=
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-1
i
-i
1
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Question # 12
If a,β are the roots of ax2+bx+c=0,the equation whose roots are doubled is
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ay2 +2by+c=0
ay2+2by+4c=0
ay2+2by+c=0
ay2+by+4c=0
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Question # 13
The law of cosines reduces to a2 +c2 =b2 for
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α = 90°
β = 90°
γ = 90°
α +β +γ =180°
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Question # 14
3/4 is ______
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An odd number
An even number
A natural number
A rational number
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Question # 15
The mid point of the line segment joining the points A(3,1) and B(-2,-4) is
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(1, -3)
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Question # 16
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 # 17
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A finite non-empty set
Null set
Both a and b
None of these
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Question # 18
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0
undefined
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Question # 19
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Question # 20
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Only one real solution
Exactly three real solution
Exactly one rational solution
Non-real roots
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Question # 21
The distance s of a particle in time t is given by s = t
3
- 6t
2
- 4t - 8. Its acceleration vanishes at t =
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1
2
3
4
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Question # 22
If 2 tan
1
(cos x) = tan
-1
(cosec
2
x), then x is equal to
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π
/ 3
π
/ 2
π
/ 6
π
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Question # 23
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 # 24
The value of p for which both the roots of the equation 4x2- 20x + (25p2+ 15 p - 66) = 0 are less than 2, lies in
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Question # 25
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12
13
14
15
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Question # 26
Write down the power set of {9, 11}
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Question # 27
By expressing sin 125° in terms of trigonometrical ratios, answer will be
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sin 65° = 0.9128
sin 55° = 0.8192
sin 70° = 0.5384
sin 72° = 0.1982
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Question # 28
The span of a standard parabola depends upon
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x
a
y
y2
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Question # 29
Through how many radians does the hour hand of a clock turn in one hour
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Question # 30
The slope of the tangent of the circle x
3
+ y
3
=25 at (4,3) is:
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-4/5
4/3
-25/4
25/3
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Question # 31
The general solution of tan 3x = 1 is
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