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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The radian measure of the central angle of an arc 50 m long on a circle of radius 25 m is
Choose an answer
3
2
1
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Question # 2
The multiplicative inverse of -1 in the set {1-,1} is
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1
-1
±1
0
Does not exist
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Question # 3
Roots of the equation x
2
+ 5x - 1 = 0 are
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Rational
Irrational
Complex
None of these
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Question # 4
The 60th part of one minute is called
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Degree
Second
Radiam
None of these
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Question # 5
The number of points of intersection of two curves y = 2 sin x and y = 5x
2
+ 2x + 3 is
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0
1
2
None of these
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Question # 6
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Question # 7
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Question # 8
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Question # 9
The distance s of a particle in time t is given by s = t
3
- 6t
2
- 4t - 8. Its acceleration vanishes at t =
Choose an answer
1
2
3
4
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Question # 10
csc(-π/2) = __________;
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0
1
-1
Undefined
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Question # 11
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3 x 1
1 x 3
3 x 3
1 x 1
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Question # 12
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Question # 13
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 # 14
The vertex of the parabola (xsin a -ycos a)2 =4a(xcos a +ysin a) lies at
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(acos a,asin a)
(a,0)
(cos a,sin a)
(0,0)
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Question # 15
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 # 16
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5 / 12
3 / 8
5 / 8
7 / 4
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Question # 17
There are two middle terms in the expansion of (a+x)n if n is
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Even +ve integer
+ve integer
Odd +ve integer
All
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Question # 18
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Question # 19
The differential equation of all st. lines which are at a constant distance to form the origin is
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Question # 20
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Question # 21
(a +b
i
) -c (c +d
i
) =
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(a +b) = (c +d)
(a +c) + i(b +d)
(a -c) + (c -d)
i
(a -c) +(b -d)
i
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Question # 22
The greatest term in the expansion of (3+2x)
9
, when x=1 is
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4th
4th and 5th
5th
6th
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Question # 23
∀x,y∈R and x> 0 , y>0, if x > y
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None of these
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Question # 24
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-2
-1
1
2
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Question # 25
w
-1
= ______
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0
1
w
w
2
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Question # 26
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I quadrant
II quadrant
III quadrant
IV quadrant
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Question # 27
The probability to get an odd number in a dice thrown once is
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6
1
1/6
1/2
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Question # 28
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Question # 29
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Question # 30
In quadratic equation, if the replacement of y with -y leaves the equation unchanged, then the graph is
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Straight line
Circle
Hyperbola
Symmetric w.r.t.0
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Question # 31
Roots of the equation x
2
- 7x + 10 = 0 are
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{2, 5}
{-2, 5}
{2,5}
{-2,-5}
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