Question # 1

Choose an answer

0

1

If a 1-1 correspondence can be established b/w two sets A and B, then they are called

Choose an answer

Equal sets

Equivalent sets

Over lapping sets

None of these

The value of sin^-1 5/13 is equal to

Choose an answer

Cos 5/13

Tan^-1 5/12

cos^-15/12

2 cos^-14/5

In triangle ABC, in which b=95, c=34, a =52^𝜊then the value of a=

Choose an answer

18 cm

18.027 cm

20.7 cm

19 cm

If ab > 0 and a < 0, which of the following is negative?

Choose an answer

b

-b

-a

(a - b)²

The axis of the parabola x² = 4ay is:

Choose an answer

y = 0

x = 0

x = -a

y = a

Choose an answer

x = 1 is in the solution of the inequality

Choose an answer

x + 1 > 0

x - 2 > 0

3x - 1 < 0

x + 2 < 0

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

If S = {3,6,9,12.......}, then

Choose an answer

S = Four multiples of 3

S = Set of even numbers

S = Set of prime numbers

S = All multiples of 3

For Cosine Rule of any triangle ABC, b²is equal to

Choose an answer

a²- c²+ 2ab cos A

a³+ c³- 3ab cos A

a²+ c²- 2ac cos B

a²- c²4bc cos A

Choose an answer

3, -3, 11

3, 3, 11

-3, 3, -11

-3, -3, 11

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)

Choose an answer

The graph of the linear equation of the form ax =by = c is a line which divided the plane into:

Choose an answer

Two similar regions

Two disjoint regions

Four equal parts

One region

How many comittees of 5 numbers can be chosen from a group of 8 players person when each committee must include 2 particular persons

Choose an answer

8!

5!3!

5!

20

One second is denoted by

Choose an answer

1⁰

1'

1"

1 rad

x²+ x - 5 = 0 is

Choose an answer

A polynomial

An inequality

An identity

None

graph of trigonometric function y = sec x does not meet

Choose an answer

x - axis

y -axis

both axis

None of these

The area of circle of unit radius =

Choose an answer

0

1

4

π

Geometrically the modulus of a complex number represents its distance from the

Choose an answer

Point (1,0)

Point (0,1)

Point (1,1)

Point (0,0)

If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

Choose an answer

1-1 and onto

Bijective

1-1 and into

None of these

Choose an answer

n if n is even

0 for any natural number n

1 if in odd

None of these

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

Choose an answer

Common difference

Common ratio

Geometric series

Geometric mean

Choose an answer

An experiment yields 3 mutually exclusive and exhaustive events A, B, C, if P(A) =2 and P(B) = 3. then P(C) =

Choose an answer

1 / 11

2 / 11

3 / 11

6 / 11

Ifπ≤x≤2π, then cos-1 (cos x)=

Choose an answer

cos x

-x

1/x

-x

Choose an answer

none of these

Choose an answer

The law of sines

The law of tangents

The pythagorus theorem

None of these

Which of the following has the same value as i113

Choose an answer

i

-1

-i

1

Choose an answer

I

|A|

|A| I

None of these

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

Choose an answer

2 b

2 a

2 ab

a + b

1.4142135... is ______

Choose an answer

A natural number

A rational number

A prime number

An irrational number

tan^-1(1/4) + tan^-1(2/9) is equal to

Choose an answer

1/2 cos^-1(3/5)

1/2 sin^-1(3/5)

1/2 tan^-1(3/5)

tan^-11/2

A function whose domain is a subset of natural numbers is called ______

Choose an answer

Identity function

Sequence

Onto function

Series

cotθ= sin 2θifθ=

Choose an answer

If one end of the diameter of the circle x² + y²- 5x = 3y -22 = 0 is (3,4) the other end is:

Choose an answer

(2,7)

(-2,-7)

(-2,7)

(2,-7)

The standard parabolic form of the equation f(x) = x² +4 x +1 is

Choose an answer

x(x+4)+1

(x+2)²-3

(x+4)³ + 9

x(x-2)²+1

If ∀a,b ε R,then a +b ε R is a property

Choose an answer

Closure law of addition

Associative law of addition

Additive inverse

Additive identity

A function whose range is just one element is called

Choose an answer

One-one function

Constant function

Onto function

Identity function

0! = ______

Choose an answer

0

1

2

Not defined

I is not

Choose an answer

Real number

Natural number

Prime Number

Whole Number

Choose an answer

A parabola

An ellipse

A hyperbola

A circle

If z₁ = 1 + 2i, z₂ = 3 + 4i then

Choose an answer

z₁ > z₂

z₁ = z₂

z₁ < z₂

None of these

Choose an answer

If the intersecting plane is parallel to a generator of the cone, but intersects its one nappe only, the curve obtained is

Choose an answer

an ellipse

a hyperbola

a circle

a parabola

The multiplicative inverse of x such that x = 0 is

Choose an answer

-x

Does not exist

1/x

±1

Choose an answer

xa^x-1

a^x

x in a

a^xIn a

Choose an answer

(g,f)

(-g,f)

(g,-f)

(-g,-f)

Any point, where f is neither increasing nor decreasing and f(x) = 0 at that point, is called a

Choose an answer

Minimum

Maximum

Stationary point

Constant point

2π+θwill have terminal side in Quad

Choose an answer

I

II

III

IV

Domain of y = scs x is

Choose an answer

All real numbers except π/2 + n*π

R

All negative integers

None of these

Choose an answer

15/23

7/15

7/8

15/7

The parametric equation of a curve are x = t², y = t³then

Choose an answer

Ifᵨ> 1 , then the conic, is:

Choose an answer

Ellipse

Parabola

Hyperbola

None of these

The equation of the chord of the circle x²+ y²- 4x = 0 whose mid-point is (1, 0) is

Choose an answer

y = 2

y = 1

x = 2

x = 1

A joint equation of the lines through the origin and perpendicular to the lines ax2 +2hxy +by2 =0 is indentical is ax2 +2hxy +by2 =0 if

Choose an answer

h2 = ab

a + b =0

a = b

a≠ b

a = b = 0

The multiplicative inverse of -3i is

Choose an answer

3i

-3i

-1/3i

1/3 i

The point which divides the line segment joining the points (a, b) and (c, d) in the ratio 2 : 3 internally is

Choose an answer

none of these

For which of the following ordered pairs (s, t) is s + t > 2 and s - t < -3?

Choose an answer

(3, 2)

(2, 3)

(1, 8)

(0, 3)

Choose an answer

I quadrant

II quadrant

III quadrant

IV quadrant

For≥ -2 , 1+3+5+......+(2n+5)

Choose an answer

(n+2)²

(n-2)²

2n+1

(n+3)²

How many arrangements of the letters of the word MI SSI PPI, taken all together can be made?

Choose an answer

20. 19. 18. 17= _______

Choose an answer

For different values of k equation 4x+5y =k represents

Choose an answer

Parallel lines

Lines parallel to x -axis

Perpendicular lines

Lines parallel to y -axis

Choose an answer

With usual notations b2 = a2 + c2 -2ac cos is called______;

Choose an answer

Law of sines

Law of consines

Law of tangents

None of these

Choose an answer

The roots of the equation x2 +6x-7=0,are

Choose an answer

1

2

1 and -7

-7

i =

Choose an answer

6 is

Choose an answer

A prime integer

An irrational number

A rational number

An odd integer

Choose an answer

From an empty set

1

2

>2

If f(x) = cos x then f(0) is

Choose an answer

0

1

1/2

Choose an answer

The extraction of cube root of a given number is a

Choose an answer

Unary Operation

Binary Operation

Relation

None of these

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

Choose an answer

√21

√97

√39

None of these

Choose an answer

1

2

3

4

Choose an answer

Polynomial of degree 0

Polynomial of degree 1

Polynomial of degree 2

Polynomial of degree n

Choose an answer

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

Choose an answer

aij = 0 for all i<j

bij = 0

cij = 0

dij = 0

Choose an answer

none of these

The modulus of 12-5i is:

Choose an answer

7

13

√7

119

Choose an answer

2x + 2y

4 - x²

-x/y

x/y

If there are m rows and n columns in a matrix then its order is

Choose an answer

m x n

m x m

n x n

n x m

Choose an answer

0

1

If a_n= 2n -3, write the first four terms

Choose an answer

-3, -1, 1, 3

1, 3, 5, 7

-1, 1, 3, 5

None of these

r + 3 >5 then which is true

Choose an answer

r + 2 > 4

r + 2 < 4

r + 2 = 4

None

The equation of the directrix of the parabola x²= 4ay is

Choose an answer

x + a = 0

x - a = 0

y + a = 0

y - a = 0

If y=sin(ax+b) then y4=________:

Choose an answer

sin4(ax+b)

a4sin(ax+b)

a4cos(ax+b)

None of these

Choose an answer

Y = -x log x -x + c

Y = x log x + x

Y = x log x - x + c

None of these

If y = eax sin bx and y2 - 2ay1 + (a2+b2) y=0 the for what values of a and b we have y2+10y1+34y =0

Choose an answer

a = -10,b=34

a=-5,b=3

a=5,b=3

a=10,b=34

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

Choose an answer

Isosceles triangle

right angle triangle

equivalent triangle

oblique triangle

Choose an answer

If (1+x-2x³)⁶= 1+a₁x + a₂x²+ a₃x³+ ..... the the value of a₂+ a₄+ a₆+ .....+a₁₂will be

Choose an answer

32

31

64

1024

The degree of differential equation is the power of the

Choose an answer

Lowest order derivative

Highest order derivative

Integral

All are correct

If u =[3,-4],then modulus of uis:

Choose an answer

5

5i

-5

√5

Choose an answer

Which of the following elements is not stable:

Choose an answer

Xe

Ar.

Kr.

Li.

The maximum number of electrons in a subshell for which l = 3 is

Choose an answer

14

10

8

4

Sulphuric acid reacts with PCl₅to give

Choose an answer

Thionyl chloride

Sulphur monochloride

Sulphuryl chloride

Sulphur tetrachloride

An excess of aqueous silver nitrate is added to aqueous barium chloride and precipitate is removed by filtration. What are the main ions in the filtrate

Choose an answer

One mole of ethanol and one mole of ethane have an equal

Choose an answer

Mass

Number of atoms

Number of electrons

Number of molecules

Which of the following elements have the largest radius

Choose an answer

F

Cl

Br

l

SN₂reaction has order of reaction :

Choose an answer

First

Second

Third

Zero

Which of the following form normal oxide

Choose an answer

K

Li

Na

None

F₂, Cl₂, Br₂and l₂lie below SHE is the Electro chemical series that is why these

Choose an answer

Undergo reduction

Undergo oxidation

Liberate H₂gas with steam

None of these

Wohler synthesized first of all the organic compound:

Choose an answer

Carbohydrates

Urea

Aniline

Toluene

Methyl alcohol is not used:

Choose an answer

As a solvent

As an anti-freezing agent

As a subsitution for petrol

For denating of ethyle alcohal

RNA is a polymer of nucleotide which consist of three components. Which one is not the component in the nucleotide of an RNA

Choose an answer

D-Ribose

Wracil base

Prosphate group

Thyamine base

Reduction of alkyl halides give

Choose an answer

Alkanes

Alkenes

Ketones

Ether

How much pesticides have been synthesized at present?

Choose an answer

Four thousands

Six thousands

Eight Thousands

Ten thousands

The actual number of atoms or molecules taking part in rate determining step is

Choose an answer

Rate of reaction

Velocity of reaction

Order of reaction

Molecularly

Octane number is zero for

Choose an answer

n-Heptane

Isooctane

n-Hexane

Isoheptane

Acetamide and NaOBr/OH^-produce

Choose an answer

Ethanamine

Methanamide

CH₃CN

NH₃

Alkaline earth metals are usually

Choose an answer

Reducing agent

Oxidizing agent

Amphoteric

Acidic

The electrode through which the electrons enter the electrolytic solution is electrolytic solution is

Choose an answer

Anode

Cathode

May be anode or cathode

None of these

In Bohr model of hydrogen atom the distance between adjacent orbits increases away from the nucleus, the energy difference between the orbits

Choose an answer

Increases

Decreases

Reaming same

Orbits coincide

Plastics are a pollution problem because many plastics

Choose an answer

Are made from petroleum

Are very inflammable

Burn to produce toxic fumes

Decompose to produce toxic products

Amylacetate flavour is present in:

Choose an answer

Banana

Apple

Jasmine

Orange

How many g of dibasic acid (mol. wt. 200) should be present in 100 ml of the aqueous solution to give 0.1 Normality?

Choose an answer

1 g

2 g

10 g

20 g

In a compound an atom has negative oxidation state because

Choose an answer

Atom is negatively charged

Atom acts as cathode

Atom is more electronegative

Atom has lowest ionization energy

Which of the following factors does not influenced the rate of reaction

Choose an answer

Concentration of the reaction

Nature of the reactants

Molecularity of the reaction

Temperature

The free spaces between the metal atoms and its crystal lattice are called

Choose an answer

Valance spaces

Empty spaces

Interstices

None

Reation of which with Grignard's reagent gives primary alcohol:

Choose an answer

Formaldehyde

Aldehyde

Ketones

Acetone

The solutions of NaCl and KCl are prepared separately by dissolving same amount of solute in water, which of the following statements is true fro these solutions ?

Choose an answer

KCl solution will have higher boiling point than NaCl solution.

Both the solutions have same boiling points.

KCl and NaCl solutions possess same vapour pressure.

KCl solution possesses lower freezing point than NaCl solution.

Which of the following expressions show a heterolytic bond fission

Choose an answer

In the modern long form of the periodic table elements are arranged in the increasing order of

Choose an answer

Atomic mass

Atomic number

Mass number

Isotopic number

Which compound is more soluble in water

Choose an answer

C₂H₅OH

C₆H₅OH

CH₃OCH₃

n-hexanol

The volume of 0.1 M H₂SO₄required to neutralize completely 40 ml of 0.2 M NaOH solution is

Choose an answer

10 ml

40 ml

20 ml

50 ml

Which of the following fluorides does not exists?

Choose an answer

NF₅

PF₅

AsF₅

SbF₅

E.D.T.A is

Choose an answer

Mono-dentate

Bi-dentate

Polydentate

Having three lone pairs of electrons

A complete chemical characterization of a compound must include

Choose an answer

Qualitative analysis

Chemical analysis

Quantitative analysis

Both a and c

The reaction rate is expressed in the units of

Choose an answer

Mol dm^-3S^-

Mol dm^-3

Mol dm^-3N^-

dm^-3S^-

In which one of the following compound rings are not fused together at ortho positions

Choose an answer

Phenanthrene

Naphthalene

Diphenyemethane

Anthracene

The reaction between primary amine-chloroform and alcoholic caustic potash is called

Choose an answer

Wurtz reaction

Frankland reaction

Cannizzaro's reaction

Carbylamine reaction

Which has highest 1st I.E.

Choose an answer

Br

Cl

F

l

pH of 1 molar NaOH is

Choose an answer

7

zero

14

10

Alkyl benzenes are readily oxidized by axidfied

Choose an answer

KMnO₄

K₂CO₃

MnO₄

H₂SO₄

Vegetable oils are

Choose an answer

Unsaturated fatty acids

Glycerides of unsaturated fatty acids

Glyccerides of saturated fatty acids

Essential oils obtained from plants

In a heterollytic bond fission reaction

Choose an answer

A molecule of H₂O is formed

A molecule of H₂O is eliminated

A free radical is formed

A positive and a negative ion is formed

Sodium is never found free in nature because of its

Choose an answer

Chemical reactivity

Small ionic size

Small atomic volume

None of these

The oxidation number of chromium in K₂Cr₂O₇is

Choose an answer

14

12

6

None of these

Alpha rays consist of:

Choose an answer

Neutrons.

Helium nucleus.

Protons.

Hydrogen nucleus.

The measurement of degree of disorder is

Choose an answer

Internal energy

Enthalpy

Entropy

None

The experimental evidences for the existence of atomic nucleus comes from:

Choose an answer

Line spectrum of hydrogen.

Magnetic bonding of cathode rays.

Millikan oil drop experiment.

Scattering of alpha particles by thin metal foil.

Which element has 4 unpaired electrons in 3d-orbital

Choose an answer

Chromium - 24

Manganese - 25

Iron - 26

Cobalt - 27

Without proper suction filtration is

Choose an answer

Rapid process.

Fague process.

Slow process.

Useless process.

During a chemical reaction heat may be

Choose an answer

absorbed

Evolved

Both evolved and absorbed

None of these

Glacial acetic acid freezes to ice like solid at (°C)

Choose an answer

07

17

27

37

In primary alkyl halides, the halogen atom is attached to a carbon which attached to how many carbon atoms?

Choose an answer

Two

Three

One

Four

Which substances haveΔH =ΔE

Choose an answer

Solids

Liquids

Gases

Liquids and solids

In H₂O molecule the bond angle is

Choose an answer

90°

109.5°

107°

104.5°

Ethyl alcohol is industrially prepared from ethylene by

Choose an answer

permanganate oxidation

Catalytic reduction

Absorbing in H₂SO₄followed by hydrolysis

Fermentation

Non-formation of menisus by Hg in presence of O₃is due to the formation of

Choose an answer

Mercuric oxide

Mercurous oxide

Mercuric chloride

Mercurous chloride

Which of the following statements about acetic, anhydride is not correct

Choose an answer

It is immiscible with water but is hydrolysed to give acetic acid

It is prepared by the action of actyl chloride on the sodium salt of acetic acid

it reacts with ammonia to give acetamide

it is a strong acid

The fibre which is made form acrylonitrile as monomer

Choose an answer

PVC

Rayon fibre

Acrylic fibre

Polyester fibre

Amino acids contain functional groups in it:

Choose an answer

--CO--

--OH

---NH₂

All of these

Hybridization of each carbon atom in benzene ring is

Choose an answer

sp hybridized

sp²hybridized

sp³

dsp²

The raw materials for the manufacture of urea fertilizer is

Choose an answer

Hydrogen and ammonia

Steam, methane, ammonia

Methane and air

None of these

Atomic number of Al is 13. When it forms ionic bond with oxygen the number of electrons lost by 1 Al atom is

Choose an answer

1

2

3

4

Benzene is obtained from benzene sulphonic acid by treating with

Choose an answer

HCl

NaOH

H₂O

NaHCO₃

Na reacts with phenol to produce

Choose an answer

H₂gas

Benzene

CO₂gas

CO gas

Molecular orbital picture of N₂indicates

Choose an answer

One unpaired electron

Two unpaired electron

No unpaired electron

None of these

Anode is the surface on which probability of finding electron is:

Choose an answer

50%

Less than 10%.

More than 95%.

Zero.

Coupling of Pb with its Pb⁺⁺/Pb = -0.13 V and Ag with Ag⁺/ Ag = +0.80 V, the cell reaction

Choose an answer

Peat before conversion to bituminous coal is converted to

Choose an answer

Lignite

Anthracite

Asphalt

None

Thre rate of S_N2 reaction depends upon the

Choose an answer

Concentration of alkyl halides

Concentration of nucleophile

Concentration of alkyl halides and nucleophile

None of the above

Cannizzaro's reaction is type of reaction:

Choose an answer

Self oxidation-reduction reaction

Disproportion reaction

Addition

A and B

When ethylene glycol is heated with acidified potassium permanganate, the main organic compound obtained is

Choose an answer

Oxalic acid

Glyoxal

Formic acid

Ethanol

A reaction is reversible because :

Choose an answer

Products are stable.

Reactants are reactive.

Products are reactive.

Reactants re stable.

Which of the following orbitals have a dumb bell shape?

Choose an answer

s

p

d

f

Acetic Acid is obtained from:

Choose an answer

Red out

Vinegar

Butter

Milk

The value of Plank's constant 'h' is

Choose an answer

6.625 x 10^-34

6.625 x 10^-34J sec

6.625 x 10^-34KJ

6.625 x 10^-34K Cal

Factors affecting quality of water:

Choose an answer

D.O

BOD

COD

All of these

Which of the following reaction is characteristic of benzene

Choose an answer

Electrophilic substitution reaction

Reduction

Oxidation

Ozonolysis

Al is the most element in earth crust:

Choose an answer

O

Si

Al

Pb

Alkaline earth metals posses two electrons in their outermost

Choose an answer

F-orbital

D-orbital

S-orbital

P-orbital

What is wrong about transition metals?

Choose an answer

Diamagnetic

Paramagnetic

Form complexes

Shows variable oxidation state

The method in which alkanes prepared by alkyle halides in the presence of palladium - charcoal is

Choose an answer

Hydrolysis

Electrolysis

Hydrogenation

Hydrogenolysis

The solution of which acid is used for seosoning of food ?

Choose an answer

Formic acid

Acetic acid

Benzoic acid

Butanoic acid

A half reaction can be defines as :

Choose an answer

It always occurs at cathode.

Involves only half of a mole of electrolyte.

Occurs at one of the electrode.

Goes only half way to completion.

Which of the following elements is not present in all proteins?

Choose an answer

Carbon

Hydrogen

Nitrogen

Sulphur

Grignard reagent on reaction with a ketone forms

Choose an answer

Tertiary alcohol

Secondary alcohol

Primary alcohol

Carboxylic acid

Preparation of vegetable ghee involves:

Choose an answer

Halogenation

Hydrogenation

Hydroxylation

Dehydrogenation

The energy of the system and surrounding is conserved. This is a statement of

Choose an answer

Law of mass action

Law of definite proportion

Law of conservation of energy

Second law of thermodynamics

Maximum potential energy that an electron can have within the atom is:

Choose an answer

Equal to zero.

Less than zero.

Greater than zero.

Infinite

The number of bonds in nitrogen molecule is

Choose an answer

Oneφ and one π

Oneφ and two π

three sigma only

Two φ and one π

The rotation of two carbon atoms joined by double bond would happened only if

Choose an answer

Pi bond is broken

Sigma bond is broken

Both bonds are broken

None of above

Ammonia contains nitrogen in it:

Choose an answer

46%

50%

80%

82%

The pH range of the acid rain is

Choose an answer

8 - 7

7 - 6.5

6.5 - 6

Less than 5

The solubility product of AgCl is 2.0 x 10^-3 mol² dm^-6 , The maximum concentration of Ag ion in the solution is :

Choose an answer

2.0 x 10^-10 mol dm^-3

1.41 x 10^-10 mol dm^-3

1.0x 10^-10 mol dm^-3

4.0x 10^-10 mol dm^-3

Which of the following in an example of reversible reaction

Choose an answer

Silk is an example of

Choose an answer

Animal fiber

Vegetable fibre

Mineral fibre

None of these

The acid used in lead storage cells is

Choose an answer

Phosphoric acid

Nitric acid

Sulphuric acid

Hydrochloric acid

In Antarctica ozone depletion is due to the formation of following compound

Choose an answer

Acrolein

Peroxy acetyl nitrate

SO₂and SO₃

Chlorine nitrate

Formic Acid is obtained from Red out by:

Choose an answer

Distillation

Crystallization

Filtration

sublimation

The method involved for electrolysis of Na or K salts of carboxylic acids

Choose an answer

Sabatier's sendrens reaction

Kolbe's method

Clemmensen

Wolf kishner reduction

Choose an answer

N₂O₄is limiting reactant

N₂H₄is the limiting reactant

Reactants are completely converted to the products

Reactions is reversible

What happens when reaction is at equilibrium and more reactant is added :

Choose an answer

Forward reaction rate is increased.

Forward reaction rate is decreased.

Backward reaction rate is increased.

Equilibrium remains unchanged.

Which of the following is a not typical transition element

Choose an answer

Cr

Mn

Zn

Fe

High purity copper metal is obtained by

Choose an answer

Carbon reduction

Hydrogen reduction

Electrolytic reduction

Thermite reduction