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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
The area under the curve y = 1/x
2
between x = 1 and x =4 is:
Choose an answer
-25
0.75
-0.35
-10
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Question # 2
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Question # 3
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Question # 4
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30°
45°
60°
120°
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Question # 5
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R
2R
r
2r
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Question # 6
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1 + tan
2
x + c
tan x + c
-tan x + c
cot x + c
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Question # 7
The area of a sector with central angle of 0.5 radians in a circular region whose radius is 2m is
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Question # 8
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30°
45°
60°
90°
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Question # 9
The middle term in the expansion of (a +x)
12
is
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7th
8th
9th
6th
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Question # 10
∀a,b,c∈R and c>0,then
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a>b ⇒ ac < bc
a>b ⇒ ac > bc
a<b ⇒ ac > bc
None of these
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Question # 11
In one hour, the hour hand of a clock turns through
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Question # 12
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Question # 13
A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from
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X to X
X to Y
Y to X
none of these
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Question # 14
For the equation |x
2
| + |x| -6 =0, the roots are
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One and only one real number
Real with sum one
Real with sum zero
Real with product zero
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Question # 15
(2, 1) is in the solution of the inequality
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2x + y
>
7
x - y > 2
3x + 5y < 6
2x + y < 6
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Question # 16
If a is any real number and a = a is called
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symmetric property
Trichotomy Properties
Transitive Property
Reflexive Properties
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Question # 17
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1
2
3/2
5/2
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Question # 18
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Question # 19
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Question # 20
sin -1(sin2π/3) =
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π/2
2π/3
-3π/2
π/3
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Question # 21
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Question # 22
For graphing a linear inequality, solid line is drawn if the inequality involves the symbols:
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> or <
>
or
<
= or≠
= or >
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Question # 23
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2x cos x2
-2xcosxsinx
2x Sin x2
-Sin x2
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Question # 24
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x
2
+ 2x + c
(x
2
+ 2x -1)
4
+ c
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Question # 25
A line segment whose end points lie on a circle is called
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The secant of the circle
The arc of the circle
The chord of the circle
The circumference of the circle
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Question # 26
A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P, Q, R and S. Then CP
2
+ CQ
2
+ CR
2
+ CS
2
=
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r
2
2 r
2
3 r
2
4 r
2
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Question # 27
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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 # 28
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15
15 i
-15 i
-15
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Question # 29
If
α
,
β
are the roots of ax
2
+ bx + c = 0 and
α
+ h,
β
+ h are the roots of px
2
+ qx + r=0, then h =
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Question # 30
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cos 2x + c
- cos 2x + c
tan 2x + c
cot 2x + c
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Question # 31
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(1, 3)
(-1, -3)
(1, -3)
(-1, 3)
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