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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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(a + b)c = a . c + bc
a + b = b + a
(a + b) + c = a + (b + c)
a(b+ c) = ab + ac
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Question # 2
In one hour the minute hand of a clock turns through
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Question # 3
The point on y
2
= 4ax nearest to the focus has its abciassae equal to
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-a
a
a/2
0
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Question # 4
The fifth term of (a+2x3)17 is
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4013 x3a13
2208a13 x12
223x7a18
38080a13 x12
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Question # 5
In the expansion of (a + x)
n
the general term T
r + 1
is
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Question # 6
Roots of the equation 9x
2
- 12x + 4 = 0 are
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Real and equal
Real and distinct
Complex
None of these
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Question # 7
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Question # 8
Sum of all the four forth roots of unity is
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1
-1
i
0
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Question # 9
The eccentricity e of an ellipse is always
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Rational
Real
Irrational
Integer
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Question # 10
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I and
I
I quadrants
I
I and
I
I
I quadrants
I
I
I and
I
V
quadrants
none of these
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Question # 11
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all
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Question # 12
The range of y=x2 + 1 is the set of non-negative real numbers except
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0≤ y < 1
0 < y < 1
0≤ y≤ 1
0 < y≤1
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Question # 13
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1
2
3/2
5/2
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Question # 14
(1,0) is in the solution of the inequality
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3x + 2y > 8
2x - 3y < 4
2x + 3y > 3
x - 2y < -5
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Question # 15
An infinite sequence has no
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nth term
Last term
Sum
None of these
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Question # 16
Domain of sec
θ
is
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Question # 17
If cos 20°=K and cos x=2 k
2
-1, then the possible values of x between 0° and 360° are
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140°
50° and 140°
50° and 130°
40° and 320°
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Question # 18
Root of the equation 3
x-1
+ 3
1-x
= is
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2
1
0
-1
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Question # 19
Which of the following sets has closure property w.r.t. addition
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{ 0 }
{ 1 }
{ 0, -1}
{ 1, -1}
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Question # 20
i
3
=
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-1
i
-i
1
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Question # 21
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0
1
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Question # 22
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a sec(ax + b) + c
- a sec(ax + b) + c
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Question # 23
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Question # 24
3, 6, 12,.... is
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A.P
G.P.
H.P.
None of these
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Question # 25
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a f(x) + c
f(x) + a
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Question # 26
Sin 45° = ______
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Question # 27
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1
5
7
9
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Question # 28
The set {1, -1, 1, -1}, form a group under
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Addition
Multiplication
Subtraction
None
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Question # 29
The property used in -3 <-2 ⇒0 <1
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Commutative property
Additive property of inequality
Additive inverse
Additive identity
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Question # 30
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π / 4
π / 6
π / 3
0
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Question # 31
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K/6
2K
3K
6K
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