Question # 1

The number of permutations of n objects of which there are n₁like of one kind, n₂like of the second kind and n₃like objects of third kind are

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f (x) = | x | is a/an

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Injective function

Bijective function

Surjective function

Implicit function

0 (zero) is

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An irrational number

A rational number

A negative integer

A positive number

The sum of all even numbers less than 100 is

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2450

2352

2272

2468

The point which divides the line joining the points (2, 4, 5) and (3, 5, -4) in the ratio -2 : 3 lines on

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ZOX plane

XOY plane

YOZ plane

None of these

The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is

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2 x 3

3 x 2

2 x 5

5 x 2

If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a

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Parabola

Circle

Hyperbola

Ellipse

A square matrix A = [aij] is lower triangular matrix when:

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aij = 0 for all i < j

bij = 0

cij = 0

dij =0

The point on y²= 4ax nearest to the focus has its abciassae equal to

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-a

a

a/2

0

The ortho center of triangle whose vertices are (0,0)(3,0)(0,4) is

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(0,0)

(1,1)

(2,2)

(3,3)

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a >b, b >c ⇒a >c is a

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Multiplicative property

Additive property

Trichotomy property

Transitive property of inequality

i =

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Each point of the feasible region is called

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Solution

feasible solution

Both a & b

None

cos (α-β) = cosαcosβ+ sinαsinβis true for all

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α>β> 0

α>β

β>α

None of these

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14 is not a

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Prime number

Whole number

Even number

Real number

If b₁, b₂, b₃, ... are in G.P. with first term unity and common ratio r, then the minimum value of b₁- b₃+ b₅is equal to

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3/4

1/4

1

None of these

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36

360

24

6

The angles of elevation of the top of a tower at the top and the foot of a pole of height 10 m are 30° and 60° respectively. The height of the tower is

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10 m

15 m

20 m

None of these

Tan 30° = _____

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0.25 is ______

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An irrational number

A natural number

A prime number

A rational number

The solution of differential equation:

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dy/dx+y/x = x²is :

4xy = x⁴+ c

4x = x⁴= c

4 y = x⁴+ c

4x=4x³ + c

Let S_ndenote the sum of the first n terms of an A.P. If S_2n= 3 S_n: S_nis equal to

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4

6

8

10

If a variable y dependents on a variable x in such a way that each value of x determines exactly one value of y, then we say that

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x is function of y

y is a function of x

y is independent variable

x is real valued function

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0

1

2

None of these

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An expression

Rational fraction

Equation

Identity

1+3x+6x2 +10x3 +....=

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(1+x)-3

(1-x)-2

(1-x)-3

(1+x)-2

System of linear equation is inconsistent if

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System has no solution

System has one solution

System has two solution

None of above

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