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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
If x
4
- 10x
2
- 2x + 4 is divided by x + 3, then the reminder is
Choose an answer
1
0
4
None of these
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Question # 2
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Question # 3
A ________ divides the plane into left and right half planes.
Choose an answer
Vertical line
Horizontal line
Non vertical line
Inequality
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Question # 4
The point P (5,8) and the origin lie on the side of the line 3x+ 7y+ 15 =0
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Same side
P above and origin below
Opposite side
P below and origin above
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Question # 5
If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______
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Question # 6
In R, the multiplicative identity is
Choose an answer
0
1
-1
None
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Question # 7
Associative law of multiplication
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ab - ba
a(bc) = (ab) c
a(b + c) = ab +ac
(a +b)c = ac + bc
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Question # 8
The value of cos(cos-1 1/2) is
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1/2
√3/2
-1/2
1/√2
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Question # 9
If A=B, then
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A⊂B and B⊂A
A⊆B and B⊈A
A⊆B and B⊆A
None of these
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Question # 10
The number of permutation that can be formed from the letters of the word OBJECT is
Choose an answer
700
600
720
620
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Question # 11
Area of the circle with ends of a diameter at (-3,2) and (5,-6)
Choose an answer
128π sq. units
64π sq. units
32π sq.units
None of these
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Question # 12
If c is a constant number and if f is the function defined by the equation f(x) =c for all values of x, then f is differentiable at every x and f is defined by the equation f(x)
Choose an answer
f
1
C
0
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Question # 13
The symbol of irrational is
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W
N
Q
Q'
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Question # 14
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Question # 15
Choose an answer
0
1
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Question # 16
Choose an answer
quadrant I
quadrant II
quadrant III
quadrant IV
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Question # 17
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Question # 18
Choose an answer
a
2a
3a
4a
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Question # 19
Let S
n
denote the sum of the first n terms of an A.P. If S
2n
= 3 S
n
: S
n
is equal to
Choose an answer
4
6
8
10
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Question # 20
Choose an answer
none of these
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Question # 21
Derivative of sin x w.r.t. sin x is
Choose an answer
0
1
sin x
cos x
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Question # 22
Choose an answer
a sin(ax + b) + c
- a sin(ax + b) + c
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Question # 23
If Z = (1,2), then Z
-1
=?
Choose an answer
(0.2, 0.4)
(-0.2 ,0.4)
(0.2,-0.4)
(-0.2,-0.4)
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Question # 24
i
is equal
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(1 , 0)
(0 , 1)
(1 , 1)
(0 , 0)
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Question # 25
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Question # 26
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 # 27
The axis of the parabola x
2
= 4ay is:
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y = 0
x = 0
x = -a
y = a
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Question # 28
Choose an answer
direction ratios
direction cosines
direction angles
none of these
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Question # 29
The perpendicular bisector of any chord of a circle
Choose an answer
Passes through the centre of the circle
Does not pass through the centre of the circle
May or may not pass through the centre of the circle
None of these
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Question # 30
Cos 60° = ______
Choose an answer
1
2
1/2
3
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Question # 31
Choose an answer
a cot(ax + b) + c
- a cot(ax + b) + c
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