Question # 1

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4(x³- 3x²)³+ c

3x²- 6x + c

(51)⁴is equal to

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7065201

8065201

6765201

6565201

F(x) = x^xdecreases in the interval

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(0, e)

(0, 1)

(-∞,0)

None

The positive value of k for which the equation x2 + kx + 64 = 0 has one of the roots 0

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4

64

8

All values of k

π is the ration of

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Area of a circle to its diameter

Area of a circle to its radius

Circumference of a circle to its diameter

Circumference of circle to its radius

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1

0

-1

2

Arithmetic mean between x - 3 and x + 5 is

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x + 1

x + 2

x + 3

x + 4

The multiplicative inverse of 1 - 2i is

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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

n² - 1 divisible by 8 when n is

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an odd integer

an even integer

Irrational

Prime Number

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Multiplicative inverse of 0 is

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0

1

±1

Does not exist

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28 / 81

28 / 243

81 / 28

243 / 82

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

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[0, 1]

[-1, 1]

[1, 3]

None of these

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A function f(x) is said to be the periodic function if for all x in the domain of f, there exists a smallest positive number p such the f(x + p) = ______

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f(p)

f(x)

f(o)

None of these

tan(3π/2 +θ)=______;

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tanθ

cotθ

-tanθ

-cotθ

Circle x² + y² - 2y -y = 0 and x² + y² - 8y -4 =0:

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Interesect

touch externally

touch internally

do not touch

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

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2

-2

3

-3

The distance s of a particle in time t is given by s = t³- 6t²- 4t - 8. Its acceleration vanishes at t =

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1

2

3

4

The second degree equation 2x2 -xy+ 5x -2y +2 =0 represents

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Circle

Hyperbola

Ellipse

Pair of straight lines

If l, m, n are the d.c.'s of a line, then

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l2+ m2+ n2= 0

l2+ m2+ n2= 1

l + m + n = 1

l = m = n = 1

If f (x) = 2x+1 then fof (x) = _______;

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4x+3

2x +3

4x +1

None of these

General solution of 1 + cos x = 0 is

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If in a set of real no a is multiplicative identity then

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a,a = a²

a,a = 1

a,a = 0

None of these

Multiplicative inverse of 0 is

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0

1

+-1

Does not exist

1/3 is ______

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A prime number

An integer

A rational number

An irrational number

The number of non zero rows in echelon form of a matrix is called

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Order of matrix

Rank of matrix

Row operation

None of these

In the interval 0≤ x ≤ π, the sine is

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Not a function

Not defined

Infinity

Not one-to-one function

The point which is closet to the focus of a parabola is:

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vertex

Chord

Focus

Directix

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none of these

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Number of ways of writing the letters of WORD taken all at a time is

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24

4

12

6

Every prime number is also

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Rational number

Even number

Irrational number

Multiple of two numbers

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2²- n - 1

1 - 2^-n

n + 2^-n-1

2ⁿ- 1

The maximum value of 12 sinθ-9 sin²θis x

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3

4

5

None of these

I f a =5i + 2j, then|a| =

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√13

√7

1/√13

√29

The function sine and Cosine have the closed internal as their range

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[1, 0]

[-1, 1]

[0, 1]

[-1, 2]

The arbitrary constants involving in the solution can be determined by the given conditions. Such conditions are called

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Boundaries

Variable separable

Initial values

None

What is the probability of being born on Wednesday?

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1/7

1/2

1/3

1/8

Period of cosec x is ______

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2

0

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x =0, y =4

x = -1, y = 2

x = 2, y = 3

x = 3, y = 4

A committee consists of 9 experts taken from three institutions A, B, and C, of which 2 are from, A, 3 form B and 4 from C. If three experts resign, then the probability that they belong to different institutions is

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1 / 729

1 / 24

1 / 21

2 / 7

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In(x²- x + 1) + c

In(2x - 1) + c

For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?

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3a2

2a2

2a

-7a

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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If a=5j + 2j,b=2i -3j, then|a+2b|=

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√21

√97

√39

None of these

There is no integer n for which 3n is

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Even

Prime

Odd

Real

The mid point of the line segment joining the points (4,0) and (0,4) is

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(4,4)

(2,2)

(-4,-4)

(-2,-2)

The largest possible domain of the function:

y=√(x ) is:

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(0 ,∞)

12

(3 , 12)

( 3 ,∞)

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Cosec 60° = ______

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∫f(x) is known as:

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Definite itegral

Indefinite integral

Fixed integral

Multiple integral

The circle (x - 2)²+ (y + 3)²= 4 is not concentric with the circle

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(x - 2)²+ (y + 3)²= 9

(x + 2)²+ (y - 3)²= 4

(x + 2)²+ (y - 3)²= 8

(x - 2)²+ (y + 3)²= 5

If b²- 4ac is positive then the roots of the equation are

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Real

Imaginary

Positive

Negative

The distance between the points A(-8,3) and B(2,-1) is

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116

none of these

If A∩B=B, then n(A∩B) is equal to

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n(a)

n(a)+n(c)

n(c)

None of these

The slope of the tangent of the circle x³ + y³ =25 at (4,3) is:

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-4/5

4/3

-25/4

25/3

The vertex of the graph of the quadratic function f(x) = x2 -10, is

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(0 , -10)

(-10,0)

(10,0)

(0,10)

One second is denoted by

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1⁰

1'

1"

1 rad

To express a single rational fraction as a sum of two or more single rational fractions which are called

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improper fractions

Partial fractions

mixed form

Polynomials

A non-terminating non_recurring decimal represents an

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Irrational no

Both a & c

Rational no

None of these

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Commutative law of addition

Associative law of addition

Additive identity

Additive inverse

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0

1

2

none of these

If |αi + (α+1)j +2k| =3 then value of α is

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1,2

-1,-2

1,-2

-1,2

The distance of point P(x,y) from focus in a parabola

y² =4ax, is:

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2a

a

x + a

x-a

The range of the principle cos function is

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1

7

4

None of these

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9/4

4/9

1

None of these

The triangle that does not have a right angle is called.

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Isosceles triangle

right angle triangle

equivalent triangle

oblique triangle

QUQ'

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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

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0.28

0.13

0.12

0.42

The unit vector along x-axis is

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none of these

If uv= Projuv then

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Uandvare parallel

vis a unit vector

Uis a unit vector

Both b and c

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ab=-1

ab = 1

ab = 2

None

202.04 is an example of

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Recurring decimals

Non-recurring decimals

Terminating decimals

None of above

The set of the first elements of the ordered pairs forming a relation is called its

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Function on B

Range

Domain

A into B

A triangle has ____ elements

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3

4

5

6

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Which of the following is the subset of all sets

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Φ

{1,2,3}

{Φ}

{0}

The difference of two consecutive terms of an A.P. is called ______

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General term

Common ratio

Common difference

None of these

How many signals can be given by 5 flags of different colours, using 3 flags at a time

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120

60

24

15

The matrix A = [aij]mxn with m≠n is

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Rectangular

Symmetric

Square

None

The fifth term of the sequence a_n= 2n + 3 is ______

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13

-13

8

3

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x = 1 is in the solution of the inequality

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x + 1 > 0

x - 2 > 0

3x - 1 < 0

x + 2 < 0

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none of these

∀x∈(a,b),f(x) is increasing if

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f′(x) >0

f′(x) <0

f′′(x) >0

f′′(x) =0

1 radian = _____

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60°

57.296°

57.2°

180°

An even function is symmetric about the line

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y = x

x = 0

y = -x

y = 0

The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

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I & III

I & IV

II & IV

II & III