Question # 1

HCF of a³+b³ and a²-ab+b² is:

Choose an answer

a+b

a²-ab+b²

(a-b)²

a²+b²

Area of _______ is equal to (base X altitude):

Choose an answer

Parallelogram

Triangle

Square

None of these

A triangle has _____ angles:

Choose an answer

1

2

3

4

The degree of polynomial 4x⁴+2x²y is:

Choose an answer

1

2

3

4

4x + 3y - 2 is an algebraic:

Choose an answer

Expression

Sentence

Equation

In equation

The product of (x+y)(x-y)(x²+xy+y²) is:

Choose an answer

x⁶+y⁶

(x+y)⁶

(x+y)²(x-y)²

x^6-y⁶

A triangle is formed by ______ non-collinear points:

Choose an answer

1

2

3

4

The bisectors of the angle of triangle are:

Choose an answer

Equal

Perpendicular

Equal distance

Concurrent

The symbol of parallelogram is:

Choose an answer

||

||^gm

gm||

If a²+b²>c²then triangle is called:

Choose an answer

Acute

Obtuse

Scalene

Right

The right bisectors of the sides of an obtuse triangle intersects each other:

Choose an answer

Inside the triangle

Outside the triangle

On hypotenuse

On any vertex

Choose an answer

The union of two noncollinear rays, which have common end point is called.

Choose an answer

A Radian

A Minute

A degree

An angle

The most frequent occurring observation in a data set is called:

Choose an answer

Mode

Median

Harmonic mean

if a=1, b=-3 and c= 3, then discriminant is:

Choose an answer

3

-2

2

-3

In a proportion a : b :: c : d, b and c are called:

Choose an answer

Means

Extremes

Fourth proportional

None of these

In which quadrant only Cosθ and Secθ are positive?

Choose an answer

I

II

III

IV

In ratio a : b, the first term is called:

Choose an answer

Extremes

Means

Consequent

Antecedent

π/3 radians =..............................................

Choose an answer

30^o

45^o

60^o

90^o

O∪ E = ................

Choose an answer

∅

O

E

Z

The value obtained by reciprocating the mean of the reciprocal of x₁,x₂,x₃..............x₁₁ observation is called....................

Choose an answer

Geometric mean

Median

Harmonic mean

S.D

The product of three cube roots of unity is:

Choose an answer

Zero

Four

Two

One

The in-radius r of a triangle is given by:

Choose an answer

An infinite sequence has no:

Choose an answer

nth term

last term

sum

none

The number of ways in which fiver persons can sit at a round table is:

Choose an answer

4!

5!

none of these

Choose an answer

integer

rationalnumber

irrationalnumber

naturalnumber

Choose an answer

If, for all x in the domain of f, there exists a smallest positive number p such that f (x+p) = f(x), then p is the:

Choose an answer

period of f

period of 2f

period of 3 f

period of 4 f

If each element in any row or each element in any column of a square matrix is zero, then value of the determinant is:

Choose an answer

0

1

-1

none of these

The order of a matrix is shown by:

Choose an answer

number of columns + number of rows

number of rows × number of columns

number of columns - number of rows

No. of signals made by 5 flags of different colors using 3 flags at a time is:

Choose an answer

60

15

10

None

In an A.P.a₃ = 12 and a₇ = 32 then d = :

Choose an answer

5

3

7

9

If n is a positive integer, then the binomial co-efficient equidistant form the beginning and the end in the expansion of (x+a)ⁿ are:

Choose an answer

same

not same

additive inverse of each other

none of these

Choose an answer

4, -4

0

2, -2

0, 4

The axis of the parabola x² = 4ay is:

Choose an answer

x = 0

x = -a

y = 0

y = -a

Choose an answer

integration by parts

definite integral

Differentation

None of these

The graph of the parabola y² = -4ax lies in quadrants:

Choose an answer

I and II

III and IV

II and III

I and III

Choose an answer

Scalar

Free vector

Unit vector

Null vector

The focus of the parabola x² = 4ay:

Choose an answer

(0, a)

(-a , 0)

(0, -a)

(a, 0)

In the translation of axes which formula is true:

Choose an answer

x = X + h

X = x + h

x + X = h

None

The symbol | | is used for:

Choose an answer

Parallel lines

Perpendicular lines

Non-parallel lines

None of these

Point of intersection of lines x - 2y + 1 = 0 and 2x - y + 2 = 0 equals:

Choose an answer

(1, 0)

(0, 1)

(-1, 0)

(0, -1)

Choose an answer

sinh x

cosh x

-sinh x

-cosh x

The distance between the points (1, 2), (2, 1).

Choose an answer

1

2