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ECAT Computer Science Entry Test MCQs With Answers
Question # 1
cos (180° -
θ
)=
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sin
θ
- cos
θ
- sin
θ
None of above
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Question # 2
3x + 4 > 0 is
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equation
identity
inequality
none of these
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Question # 3
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none of these
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Question # 4
If P is a proposition then its negative is denoted by
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Question # 5
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Question # 6
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N
r
2r
π
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Question # 7
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Question # 8
The complement of set A relative to universal set U is the set
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{x / x∈ A∧ x∈ U}
{x / x∉ A∧ x ∈ U}
{x / x∈ A and x ∉ U}
A-U
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Question # 9
Sin-1(-x)=
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x
-x
-sin-1 x
cos-1 x
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Question # 10
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Question # 11
e-radii are denoted by
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η
r2
r3
All of these
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Question # 12
In a triangle if a > 45°,β > 30° then y cannot be
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90°
100°
10°
120°
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Question # 13
If a and b are real numbers then a+b is also real number this law is called
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associative law of addition
closure law of addition
Distributive law of addition
Commutative law of addition
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Question # 14
How many comittees of 5 numbers can be chosen from a group of 8 players person when each committee must include 2 particular persons
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8!
5!3!
5!
20
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Question # 15
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Symmetric
Skew-symmetric
Hermitian
Skew hermitian
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Question # 16
Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all the four cars of the same suit is
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44/4165
22/4165
11/4165
None of these
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Question # 17
The set of points {(x,y)|y = f(x),∀x∈} is called
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Relation
Graph of f
Function
All are correct
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Question # 18
1/2,1/3,1/4,1/5.........is
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a geometric sec
an arithmetric series
finite sequence
an infinite sequece
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Question # 19
Which of the following is factor of x11+a11, where n is an odd integer
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x-a
x+a
2x-a
2x+a
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Question # 20
Period of Tangent function is
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0°
-
π
π
2
π
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Question # 21
If A is an event then which of the following is true
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P(A)<0
0≥P(A)≤1
P(A)>0
None
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Question # 22
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 # 23
Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always
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Positive
Negative
Real
None of these
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Question # 24
In one hour the minute hand of a clock turns through
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Question # 25
A = B if
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A is equivalent to B
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Question # 26
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Natural numbers
Whole numbers
Integers
Rational numbers
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Question # 27
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Diagonal matrix
Scalar matrix
Triangular matrix
Identity matrix
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Question # 28
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Question # 29
The middle term of [1/x-x]
10
is
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-152
-252
371
-421
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Question # 30
Roots of the equation 2x
2
- 7x + 3 = 0 are
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Rational
Irrational
Complex
None of these
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Question # 31
The system of measurement in which the angle is measured in degrees, minutes and seconds is called the
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circular system
CGS system
sexagesimal system
none of these
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Question # 32
A point (x,y) which satisfy a linear inequality in two variables form its
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Solution
Domain
Range
None
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Question # 33
The line through the focus and perpendicular to the directrix is called ______ of the parabola
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axis
focal chord
tangent
latus rectum
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Question # 34
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3 sec
2
x
3 sec
2
3x
sec
2
3x
sec
2
x
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Question # 35
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0
1
-1
2
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Question # 36
One root of the equation cos x - x + 1/2 = 0 lies in the interval
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Question # 37
The set of first elements of the ordered pairs in a relation is called its
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domain
range
relation
function
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Question # 38
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Question # 39
The point which divides the line segment joining the points (a, b) and (c, d) in the ratio 2 : 3 internally is
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none of these
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Question # 40
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all are correct
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Question # 41
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none of these
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Question # 42
The radius of the circle x
2
+ y
2
- 6 x + 4 y +13 = 0 , is
Choose an answer
1
2
0
None of these
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Question # 43
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100x
99
100x
101
-99x
99
-100x
101
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Question # 44
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Rational
Irrational
Natural
Odd
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Question # 45
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Question # 46
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Question # 47
The set of integer is
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Finite group
A group w.r.t addition
A group w.r.t multiplication
Not a group
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Question # 48
The centre of the circle x2+y2 -2fx-2gy+x=0 is
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(-g,-f)
(g,f)
(f,g)
(-f,-g)
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Question # 49
The parabolay2=4ax open up if
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a<0
a≠0
a>0
All are incorrect
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Question # 50
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Question # 51
w
15
= ______
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0
1
w
w
2
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Question # 52
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Question # 53
By expressing cos 113° in terms of trigonometrical ratios, answer will be
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− cos 76° = -0.7093
− cos 65° = -0.4258
− cos 67° = -0.3907
− cos 62° = -0.8520
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Question # 54
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R/[0,4]
R/(0,4)
(0,4)
[0,4]
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Question # 55
If S is a sample space and event set E =Φ then P(E) is
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>0
1
<1
0
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Question # 56
cos
-1
(cos x) =
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x
cos x
x = 1/x
cos
-2
x
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Question # 57
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Question # 58
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4A - 3I
3A - 4I
A - I
None of these
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Question # 59
Two circle x
2
+ y
2
+2x - 8 = 0 and x
2
+ y
2
-6 + 6x -46 =0:
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touch internally
do not intersect
touch externally
None of these
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Question # 60
Multiplicative inverse of "1" is
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+- 1
0
1
None of these
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Question # 61
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A finite set
An infinite set
An empty set
None of these
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Question # 62
150°= ______
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Question # 63
n! > 2
n
-1 is true when
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n≤ 3
n≤ 6
n≥ 4
n≤ 6
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Question # 64
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1/2
2
1/4
4
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Question # 65
Sequence also called..............
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Series
Function
progressions
Elements
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Question # 66
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f(x) = x
2
f(x
2
) = x
f(x) = x
none of these
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Question # 67
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Question # 68
sin 540° =
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0
1
2
3
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Question # 69
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-3 -2i
3 +2i
1 + 2i
1 - 2i
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Question # 70
The set of complex numbers forms
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Commutative group w.r.t addition
Commutative group w.r.t multiplication
Commutative group w.r.t division
Non commutative group w.r.t addition
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Question # 71
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-1
0
1
undefined
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Question # 72
The point of concurrency of the angle bisectors of a triangle is called
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incentre
circumcentre
e-centre
centroid
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Question # 73
The multiplicative inverse of (a,b) is
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Question # 74
Every prime number is also
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Rational number
Even number
Irrational number
Multiple of two numbers
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Question # 75
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direction ratios
direction cosines
direction angles
none of these
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Question # 76
If 2x +y + λ =0 is normal to parabola y2 =-8x,λ= _____
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12
8
24
-24
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Question # 77
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Trichotomy property
Additive property of inequality
Transitive property
Multiplicative property
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Question # 78
An A.P., a G.P. and a H.P. have the same first and last terms and the same odd numbers of terms, the middle terms of the three series are in
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A.P.
G.P.
H.P.
None of these
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Question # 79
(a,0) x (c,0) =
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(0,ac)
(ac,0)
(0,0)
(a,c)
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Question # 80
A = B iff
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All elements of A also the elements of B
A and B should be singleton
A and B have the same number of elements
If both have the same element
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Question # 81
Name the property used in 4 + 9 = 9 + 4
Choose an answer
Associative property of addition
Commutative property of addition
Distributive property
Additive identity
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Question # 82
θ and 2kπ+θ are the ________ angles
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Quadrantal angles
Coterminal
Allied
None
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Question # 83
If n € N , then n(n+3) is always
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Multiple of 3
Multiple of 6
odd
even
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Question # 84
Name the property used in 100 + 0 = 100
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Additive inverse
Multiplicative inverse
Additive identity
Multiplicative identity
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Question # 85
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Question # 86
Each complex cube root of unity is square of
Choose an answer
itself
1
-1
the other
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Question # 87
The point of concurrency of the medians of a triangle is called
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incentre
circumcentre
e-centre
centroid
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Question # 88
A rule that assigns to each elements x in X a unique element y in Y is called a ____________
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domain
range
function
none of these
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Question # 89
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Question # 90
The function f{(x, y) | y = ax
2
+ bx + c} is
Choose an answer
One-one function
Constant function
Onto function
Quadratic function
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Question # 91
If a
1
= a
2
= 2, a
n
= a
n-1
- 1 (n > 2), then a
5
is
Choose an answer
1
0
-1
-2
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Question # 92
Inverse of the function y-10x is
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y=logx
y=lnx
x=10y
x=10y
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Question # 93
The solution of the equation 3 tan
2
x = 1 is ____________
Choose an answer
none of these
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Question # 94
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Question # 95
For any equilateral r :R :η :r1 :r2 :r3 =
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1:2:3:4:5
1:2:3:3:3
1:2:4:4:4
2:1 :2 :2 :2
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Question # 96
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Two real roots
Two positive roots
Two negative roots
One positive and one negative root
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Question # 97
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Question # 98
If n is a positive integer then n! is
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(n - 1) (n - 2) .....3,.2.1
n(n - 1) (n - 2) ...3.2.1
n(n - 1 ) ( n -2) ... 3
None of these
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Question # 99
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Question # 100
The synthetic division method is only used to divide a polynomial by
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quadratic equation
binomial
linear equation
monomial
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Question # 101
cos
4
θ
- sin
4
θ
=
Choose an answer
cos4
θ
cos2
θ
-sin
θ
sin2
θ
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