More Classes

5th Class
6th Class
7th Class
8th Class
9th Class
10th Class
11th Class
12th Class
NAT I
NAT II
CSS
IQ
General Knowledge
MDCAT
ECAT
GAT General
GAT Subject

Other Links

Go to Home
Online Tests

ECAT Computer Science Entry Test MCQs With Answers

Question # 1

Choose an answer

Previous

Skip

Next

Question # 2

The direction cosines of any normal to the xy-plane are

Choose an answer

<1, 0, 0>

<0, 1, 0>

<1, 1, 0>

<0, 0, 1>

Previous

Skip

Next

Question # 3

Choose an answer

ⁿC_r

ⁿ⁺¹C_r+1

ⁿC_r+1

None

Previous

Skip

Next

Question # 4

Choose an answer

sin 2x + c

-sin 2x + c

Previous

Skip

Next

Question # 5

In the interval 0≤ x ≤ π, the sine is

Choose an answer

Not a function

Not defined

Infinity

Not one-to-one function

Previous

Skip

Next

Question # 6

Choose an answer

Previous

Skip

Next

Question # 7

E-radius corresponding to < C is

Choose an answer

Previous

Skip

Next

Question # 8

Choose an answer

Previous

Skip

Next

Question # 9

If a polynomial P(x) is divided by x - a, then the remainder is

Choose an answer

P(o)

P(-a)

P(a)

None of these

Previous

Skip

Next

Question # 10

For n€ N,2^n>2 > n is to only when

Choose an answer

n<2

n≤ 4

n≥ 4

Previous

Skip

Next

Question # 11

If x is an image of y under the function f. This can be written as

Choose an answer

y = f(x)

f(x) = 0

x = f(y)

f(y) =0

Previous

Skip

Next

Question # 12

Choose an answer

360°

180°

90°

None of these

Previous

Skip

Next

Question # 13

The projections of a line segment on x, y, z axes are 12, 4, 3. The length and the direction cosines of the line segment are

Choose an answer

Previous

Skip

Next

Question # 14

For all points (x,y) on y-axis

Choose an answer

x is positive

x = 0

x is negative

y = 0

Previous

Skip

Next

Question # 15

sin 3a = ______;

Choose an answer

3sin a - 4sin3a

4sin a -3 sin3 a

3 cos3 a -cosa

4cos3 a - 3cos a

Previous

Skip

Next

Question # 16

Choose an answer

Previous

Skip

Next

Question # 17

The solution set of the equation tan^-1x - cot^-1x = cos^-1(2 - x) is

Choose an answer

[0, 1]

[-1, 1]

[1, 3]

None of these

Previous

Skip

Next

Question # 18

Choose an answer

Previous

Skip

Next

Question # 19

probability of a certain event is

Choose an answer

0

-1

1

∞

Previous

Skip

Next

Question # 20

Choose an answer

100x ⁹⁹

100x ¹⁰¹

-99x ⁹⁹

-100x ¹⁰¹

Previous

Skip

Next

Question # 21

The property used in -3 <-2 ⇒0 <1

Choose an answer

Commutative property

Additive property of inequality

Additive inverse

Additive identity

Previous

Skip

Next

Question # 22

0 (zero) is

Choose an answer

An irrational number

A rational number

A negative integer

A positive number

Previous

Skip

Next

Question # 23

sin(a-90°)=______;

Choose an answer

sina

cosa

-sinθ

-cosa

Previous

Skip

Next

Question # 24

A polynomial of arbitrary degree

Choose an answer

f(x) = o

f(x) = x

f(x) = a

f(x) = ax + b,a ≠ 0

Previous

Skip

Next

Question # 25

Choose an answer

Previous

Skip

Next

Question # 26

x = sin^-13, then the value of sin x is

Choose an answer

√(3/2)

3

Not possible

-1

Previous

Skip

Next

Question # 27

Choose an answer

parallel vectors

perpendicular vectors

concurrent vectors

collinear vectors

Previous

Skip

Next

Question # 28

The measure of the acute angle between the lines represented by x2 -xy -6y2 =0 is

Choose an answer

120°

30°

130°

45°

Previous

Skip

Next

Question # 29

If n is any positive integer then n! > 2^n-1for

Choose an answer

Previous

Skip

Next

Question # 30

The coordinates of a point P(x,y) referred to XY-system are

Choose an answer

(x+y,y+k)

(x-h,y-k)

(x,y)

(x-h,y-k)

Previous

Skip

Next

Question # 31

Find the geometric mean between 4 and 16

Choose an answer

Previous

Skip

Next

Question # 32

The range of the principle cot function is

Choose an answer

Previous

Skip

Next

Question # 33

Choose an answer

Previous

Skip

Next

Question # 34

Tan^-11/x = ______

Choose an answer

sin x

sec^-1X

cot^-1X

None of these

Previous

Skip

Next

Question # 35

22.5°=______

Choose an answer

Previous

Skip

Next

Question # 36

If f(x) = x²then f(0) is

Choose an answer

0

1

2

none of these

Previous

Skip

Next

Question # 37

Choose an answer

Previous

Skip

Next

Question # 38

f(x)g(x)- ∫g(x) f′(x) dx is equal to

Choose an answer

∫f(x)g′(x)dx

∫f′(x)g(x)dx

∫f′(x)g(x)′dx

∫f(x)g(x)dx

Previous

Skip

Next

Question # 39

If eccentricity of ellipse becomes zero then it takes the form of

Choose an answer

A parabola

A circle

A straight line

None of these

Previous

Skip

Next

Question # 40

Choose an answer

Previous

Skip

Next

Question # 41

The distance of the point (-2 , 3) from y-axis is

Choose an answer

2

-2

3

1

Previous

Skip

Next

Question # 42

If one root of the equation ix²- 2(i + 1) x +(2 - i) = 0 is 2 - i, then the other root is

Choose an answer

-i

2 + i

i

2 - i

Previous

Skip

Next

Question # 43

Choose an answer

1

5

7

9

Previous

Skip

Next

Question # 44

If a (p + q)²+ bpq +c = 0 and a (p + r)²+ 2 bpr + c = 0, then qr equals

Choose an answer

p²+ c/a

p²+ a/c

p²+ c/a

p²- c/a

Previous

Skip

Next

Question # 45

(0,0) is in the solution of the inequality

Choose an answer

x + y > 3

x - y > 2

3x + 2y > 5

3x - 2y < 2

Previous

Skip

Next

Question # 46

Choose an answer

Previous

Skip

Next

Question # 47

If the sum of two unit vectors is a unit vector the the magnitude of their difference is

Choose an answer

√2

√3

1

None of these

Previous

Skip

Next

Question # 48

Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8

Choose an answer

Associative property of addition

Associative property of multiplication

Additive identity

Multiplicative identity

Previous

Skip

Next

Question # 49

Choose an answer

2C

C³

1

0

Previous

Skip

Next

Question # 50

Choose an answer

0

1

1/2

Previous

Skip

Next

Question # 51

A point of a solution region where two of its boundary lines intersect, is called

Choose an answer

Boundary

Inequality

Half plane

Vertex

Previous

Skip

Next

Question # 52

The point P (5,8) and the origin lie on the side of the line 3x+ 7y+ 15 =0

Choose an answer

Same side

P above and origin below

Opposite side

P below and origin above

Previous

Skip

Next

Question # 53

Choose an answer

A prime number

An integer

A whole number

An irrational number

Previous

Skip

Next

Question # 54

Choose an answer

Previous

Skip

Next

Question # 55

Choose an answer

Previous

Skip

Next

Question # 56

The product of complex numbers (a,b) and (c,d) is

Choose an answer

(ac, bd)

(ac-bd, ad+bc)

(ab,cd)

(ac+bd,ad-bc)

Previous

Skip

Next

Question # 57

the curve of the parabola y² = -4ax is symmetric with respect to

Choose an answer

x -axis

y - axis

Botha x and y- axis

None of thes

Previous

Skip

Next

Question # 58

Choose an answer

Previous

Skip

Next

Question # 59

What is the circular measure of the angles between the hands of which at 4 o clock

Choose an answer

π/6

3π/2

π/4

2π/3

Previous

Skip

Next

Question # 60

If you are looking a bird in the tree from the ground then the angle formed is called angle of______;

Choose an answer

Elevation

Depression

Right angle

None of these

Previous

Skip

Next

Question # 61

Choose an answer

none of these

Previous

Skip

Next

Question # 62

If A and B are skew-symmetric then (AB)t is

Choose an answer

At Bt

AB

-AB

BA

Previous

Skip

Next

Question # 63

Choose an answer

Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

Previous

Skip

Next

Question # 64

sin²αcos²α=

Choose an answer

-1

0

1

None of these

Previous

Skip

Next

Question # 65

If Z₁ = 1+ i, Z₂ = 2+3i , then |Z₁ -Z₂| =?

Choose an answer

√5

√7

-1-2i

√3

Previous

Skip

Next

Question # 66

Choose an answer

2 x 2

2 x 3

3 x 2

3 x 3

Previous

Skip

Next

Question # 67

The function whose range consists of just one element is called

Choose an answer

One-One Function

Identity Function

Onto Function

Constant Function

Previous

Skip

Next

Question # 68

Choose an answer

none of these

Previous

Skip

Next

Question # 69

sin (2π-θ)

Choose an answer

cosθ

sinθ

tanθ

-sinθ

Previous

Skip

Next

Question # 70

Choose an answer

The law of sines

The law of tangents

The pythagorus theorem

None of these

Previous

Skip

Next

Question # 71

Find the next two terms of 7, 9, 12, 16,...

Choose an answer

18, 20

19, 22

20, 25

21, 27

Previous

Skip

Next

Question # 72

An equation of the form ax + by = k is homogeneous linear equation when:

Choose an answer

Previous

Skip

Next

Question # 73

Choose an answer

2

-2

none of these

Previous

Skip

Next

Question # 74

tan(π-θ)=_____;

Choose an answer

tanθ

cotθ

-tanθ

-cotθ

Previous

Skip

Next

Question # 75

Choose an answer

k3

0

3k

k6

Previous

Skip

Next

Question # 76

x = _________ is in the solution of 2x + 3 < 0

Choose an answer

0

2

-1

-2

Previous

Skip

Next

Question # 77

If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =

Choose an answer

1

12

5

29

Previous

Skip

Next

Question # 78

Choose an answer

Previous

Skip

Next

Question # 79

The surface generated by lines, consists of two parts, called:

Choose an answer

vertex

apex

nappes

axis

Previous

Skip

Next

Question # 80

If the roots of 3x2+kx + 12 = 0 are equal then k = ______

Choose an answer

Previous

Skip

Next

Question # 81

Choose an answer

Previous

Skip

Next

Question # 82

If (2, 3) and (2, 5) are end points of a diameter of a circle, then the centre of the circle is

Choose an answer

(2, 4)

(4, 8)

(0, 2)

(0, -2)

Previous

Skip

Next

Question # 83

n! > 2ⁿ-1 is true when

Choose an answer

n≤ 3

n≤ 6

n≥ 4

n≤ 6

Previous

Skip

Next

Question # 84

If A = {x / x ∈ R ∧ x² - 16 = 0} then A =

Choose an answer

- x

Infinite set

Φ

{-4,4}

Previous

Skip

Next

Question # 85

If y is an image of x under the function f, then we write

Choose an answer

y = f(x)

x = f(y)

y = x

none of these

Previous

Skip

Next

Question # 86

Choose an answer

cos x + c

-sin x + c

-cos x + c

sin x + c

Previous

Skip

Next

Question # 87

The vertex of the graph of the quadratic function f(x) =-x2+6x+1,is

Choose an answer

(-3,10)

(-3,-10)

(3,10)

(3,-10)

Previous

Skip

Next

Question # 88

Choose an answer

Previous

Skip

Next

Question # 89

System of linear equations is inconsistent if

Choose an answer

System has no solution

System has one solution

System has two solution

None of above

Previous

Skip

Next

Question # 90

Choose an answer

Previous

Skip

Next

Question # 91

Choose an answer

25

16

5

0

Previous

Skip

Next

Question # 92

A square matrix A = [aij] is upper triangular when

Choose an answer

cij = 0

bij = 0

aij = 0 for all i > j

dij = 0

Previous

Skip

Next

Question # 93

The inclination of a line parallel to x-axis is

Choose an answer

Previous

Skip

Next

Question # 94

Choose an answer

p < r

p > rr

p + r < 0

p - r < 0

Previous

Skip

Next

Question # 95

The sum of n terms of a series is denoted by

Choose an answer

d

n

S_n

a_n

Previous

Skip

Next

Question # 96

If ax + bx + c =0 is satisfied by every value of x,then

Choose an answer

b = 0,c = 0

c = 0

b = 0

a = b = c = 0

Previous

Skip

Next

Question # 97

Choose an answer

Previous

Skip

Next

Question # 98

Some of two real numbers is also a real number , this property is called:

Choose an answer

Commutative property w.r.t addition

Closure property w.r.t. addition

Associative property w.r.t. addition

Distributive property w.r.t addition

Previous

Skip

Next

Question # 99

If a +b +c =0 then which of the following is true

Choose an answer

a =b =c =0

a,b =b,c =c,a

a xb=b xc =c xa

None

Previous

Skip

Next

Question # 100

n(n-1)(2n-1), for all natural numbers n, is divisible by

Choose an answer

12

6

2

18

Previous

Skip

Next

Question # 101

Given two independent event A and B such that P(A) = 0.30 and P(B) = 0.60. Probability of getting neither A nor B is

Choose an answer

0.28

0.13

0.12

0.42

Previous

Skip

Next

Back