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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
Empty set is
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Not the member of real numbers
Infinite set
Finite set
Not subset of every set
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Question # 2
(a,0) x (c, 0) =
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(0,ac)
(ac, 0)
(0,0)
(a, c)
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Question # 3
Considering Cosine Rule of any triangle ABC, possible measures of angle A includes
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Angle A is obtuse
Angle A is acute
Angle A is right-angle
All of above
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Question # 4
A line joining two distinct points on a parabola is called a ______ of the parabola.
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Chord
Tangent
Lust rectum
directrix
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Question # 5
The value of x for which the polynomials x2 - 1 and x2 -2x + 1 vanish simultaneously is
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2
1
-1
-2
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Question # 6
The standard parabolic form of the equation f(x) = x
2
+4 x +1 is
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x(x+4)+1
(x+2)
2
-3
(x+4)
3
+ 9
x(x-2)
2
+1
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Question # 7
The horizontal distance between the two towers is 60 m. the angular elevation of the top of the taller tower as seen from the top of the shorter one is 30°. If the height of the taller tower is 150 m, the height of the shorter one is
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116 m
200 m
216 m
None of these
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Question # 8
In one hour, the hour hand of a clock turns through
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Question # 9
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Question # 10
The number z so that the triangle with vertices A(1,-1,0),B(-2,2,1)and C(0,2,z) is a right triangle with right angle at vertex C
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1,2
-1,-2
2,-1
-2,1
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Question # 11
99th term of the series 2 + 7 + 14 + 23 + 34 + ..... is
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9998
9999
10000
None of these
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Question # 12
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Question # 13
Cos-1 (-x) =
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-x
1/x
tan-1 x
π-cos-1 x
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Question # 14
The sum of all even numbers less than 100 is
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2450
2352
2272
2468
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Question # 15
Matrices are represented by
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Natural numbers
Real numbers
Small letters
Capital letters
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Question # 16
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0
1
undefined
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Question # 17
Which of the following is a quadrantal angle
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30°
45°
60°
90°
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Question # 18
Domain of cos
θ
is
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Set of odd numbers
Set of integers
Set of real numbers
Set of complex numbers
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Question # 19
A relation in which the equality is true only for some values of the unknown is called
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An identity
An equation
A polynomial
None
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Question # 20
Every set is an improper subset of
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Empty set
Equivalent set
Itself
Singleton set
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Question # 21
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Question # 22
If sin 6
θ
+ sin 4
θ
+ sin 2
θ
, then
θ
=
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Question # 23
cot(3π/2 -θ)=______;
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tanθ
cotθ
-tanθ
-cotθ
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Question # 24
If in the expansion of (1+x)
n
, co-efficients of 2nd, 3rd and 4th terms are in A.P., then x=
Choose an answer
4
5
6
7
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Question # 25
The slope of the normal at (4,3) to the circle x
2
+y
2
=25 is
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3/4
-3/4
4/3
-4/3
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Question # 26
In R, the multiplicative inverse of a is
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0
1
-a
1/a
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Question # 27
Riaz, Saba. Maria, Shehzad are to give speeches in a class. The teacher can arrange the order of their presentation in
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4 ways
12 ways
256 ways
24 ways
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Question # 28
Which one is not defined∀n∈Z+
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-n!
n!
(-n)!
n!+0!=n!+1
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Question # 29
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Question # 30
n
C
2
= exists when n is ______
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Question # 31
Choose an answer
sin h x
cos h x
tan h x
cot h x
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