Question # 1

Choose an answer

Which is the proper rational function

Choose an answer

The middle term in the expansion of (a +x)¹²is

Choose an answer

7th

8th

9th

6th

Choose an answer

0

-1

1

2

Choose an answer

One-to-one and onto

One-to-one but not on to

Onto but not one-to-one

Neither one-to-one nor onto

Choose an answer

i⁹ =

Choose an answer

i²

-1

1

i

The physical quantity which possesses both magnitude and direction is called a

Choose an answer

scalar

vector

constant

none of these

Choose an answer

Roots of the equation 9x²- 12x + 4 = 0 are

Choose an answer

Real and equal

Real and distinct

Complex

None of these

Choose an answer

If a₁= 3, r = 2, then the nth term of the G.P. is

Choose an answer

2.3^n-1

3.2ⁿ

3.2ⁿ⁺¹

3.2^n-1

Choose an answer

The matrix A = [aij]mxn with m≠n is

Choose an answer

Rectangular

Symmetric

Square

None

Choose an answer

none of these

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

Choose an answer

Which of the following integrals can be evaluated

Choose an answer

Domain of tangent function is

Choose an answer

(1,7/3)

(1, 7/5)

(1, 11/7)

(1, 3/5)

If the flag-staff 6 meters high placed on the top of a tower. Makes the shadow 2√3 m on the ground, then the angle of elevation of the sun is

Choose an answer

30^ο

35^ο

45^ο

60^ο

If Sin A = sin B, cos A = cos B, then the value of A in terms of B is

Choose an answer

202.04 is an example of

Choose an answer

Recurring decimals

Non-recurring decimals

Terminating decimals

None of above

Sequence also called..............

Choose an answer

Series

Function

progressions

Elements

A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from

Choose an answer

X to X

X to Y

Y to X

none of these

The square of the distance between two points P(x₁, y₁) and Q(x₂, y₂) is

Choose an answer

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>

sin[cot^-1{cos(tan^-1x)}]=

Choose an answer

8

9

10

11

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

Choose an answer

0

1

1/2

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

Choose an answer

√(3/2)

3

Not possible

-1

Choose an answer

Which of the following is a scalar

Choose an answer

weight

force

speed

momentum

If the domain of sequence is finite set then the sequence is called

Choose an answer

geometric sequence

infinite sequence

finite sequence

arithmetic sequence

The are of the circle centred at ( 1 , 2) and passing through ( 4 , 6) is:

Choose an answer

10π

25π

5π

25/2π

If A(a,b) lies on 3x +2y =13 and point B(b,a) lies on x-y =5 then equation of AB is

Choose an answer

x- y= 5

x+ y+ =5

x+ y= -5

5x +5y =21

The period of|sin⁡2x| is

Choose an answer

π/2

-π/2

π

π/3

Choose an answer

k3

0

3k

k6

F(x) = x^xdecreases in the interval

Choose an answer

(0, e)

(0, 1)

(-∞,0)

None

Choose an answer

Cofactor of an element aij denoted by Aij is

Choose an answer

(-2)i+j

Mij

(-1)i+j Mij

None of above

cos^-1(cos x) =

Choose an answer

x

cos x

x = 1/x

cos^-2 x

A Series which does not coverage to a Unique sum is called

Choose an answer

Harmonic Series

Oscillatroy Series

Arithmetic Series

None of these

Choose an answer

x³⁹

40x³⁹

40x⁴¹

none of these

Choose an answer

π

π/6

-π/2

2π

Choose an answer

0

-1

1

1/2

Choose an answer

A rational number

A natural number

An irrational number

An integer

Choose an answer

0

undefined

If z₁ = 1 + 2i, z₂ = 3 + 4i then

Choose an answer

z₁ > z₂

z₁ = z₂

z₁ < z₂

None of these

sin (sin^-1(1/2))=

Choose an answer

0

2

∞

1/2

Choose an answer

A machine operates if all of its three components function. The probability that the first component fails during the year is 0.14, the second component fails is 0.10 and the third component fails is 0.05. the probability that the machine will fail during the year is

Choose an answer

0.2647

0.2692

0.3647

None of these

Choose an answer

If f(x) = x²then f(0) is

Choose an answer

0

1

2

none of these

The two different parts of the hyperbola are called its

Choose an answer

Vertices

Directrices

Nappes

Branches

Choose an answer

1

2

-1

0

Period of cos x is _____

Choose an answer

The equation of line passing through intersection of line x = 0 and y = 0 and the point (2,2) is

Choose an answer

y = x

y = x - 1

y = x + 1

Choose an answer

2

7

8

12

sin h x = ___________

Choose an answer

Conclusion

Implication

Antecedent

Hypothesis

The law of consines is

Choose an answer

If distance of (a,b) from origin is 5 then

Choose an answer

a²+ b²=5

a = 5

b = 5

Choose an answer

If sin A = cos A, 0°<A<90° then A is equal to

Choose an answer

1

1/2

0

None of these

Choose an answer

Polynomial

Equation

Improper rational fraction

Proper rational fraction

The 60th part of one minute is called

Choose an answer

Degree

Second

Radiam

None of these

A triangle which is not right angle is called ______ triangle

Choose an answer

acute

Obtuse

Right

Oblique

A function of the form p(x)/Q(x) is called:

Choose an answer

Rational function

Logarithmic function

Exponential function

Hyperbolic function

The probability of getting a number between 1 and 100 which is divisible by 1 and itself if only is

Choose an answer

1 / 4

1 / 2

3 / 4

25 / 98

Choose an answer

ab=-1

ab = 1

ab = 2

None

Cofactor of an element a_ijis defined by

Choose an answer

(-1)^i+j|A|

(-1)^i+jM_ij

(-1)^i+jM^-1

None of these

Choose an answer

In (x + iy) x is the known as

Choose an answer

Imaginary part of complex number

Real part of complex number

Complex number

None of above

The sum of the squares of three distinct real numbers, which are in G.P., is S². if their sum isαS then

Choose an answer

For the parabola the line through focus and perpendicular to the directrix is called

Choose an answer

Tangent

Vertex

Axis

None

If T = {2,4,6,8,10,12}, then

Choose an answer

T = (First six natural numbers)

T = (First six odd numbers)

T = (First six real numbers)

T = ( First six even numbers)

Choose an answer

Does not exist because f is unbounded

Is not attained even though f is bounded

Is equal to 1

Is equal to -1

E-radius corresponding to < A is

Choose an answer

In the expansion of (a + x)ⁿthe sum of exponents of a and x in each term of the expansion is

Choose an answer

n + 1

n - 1

n

2n

If u =2i +pi + 5k and v = 3i + i +pk are perpendicular , then p=

Choose an answer

1

2

-1

-3

Choose an answer

sin x + c

-sin x + c

cos x + c

-cos x + c

For every positive integers n 1+5+9+....+ (4n - 3) is

Choose an answer

n(2n - 1)

(2n - 1)

n - 1

n

If (0, 0) and (-1, 0) are end points of a diameter, then the equation of the circle is

Choose an answer

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

Choose an answer

(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

Choose an answer

none of these

a >b, b >c ⇒a >c is a

Choose an answer

Multiplicative property

Additive property

Trichotomy property

Transitive property of inequality

Choose an answer

2x cos x2

-2xcosxsinx

2x Sin x2

-Sin x2

A square matrix A for which A^t= -A is called a

Choose an answer

Column matrix

Symmetric matrix

Skew-symmetric matrix

Row matrix

Choose an answer

A onto B

both a & c

A into B

none of these

The coefficient of the third term of (8a-b)^1/3, after simplification is

Choose an answer

-228

1/288

1/220

-1/177

In which of these processes are smell organic molecules made into macromolecules?

Choose an answer

The cracking of petroleum fractions

The fractional distillation of crude oil

The polymerization of ethane

The hydrolysis of proteins

Find the magnetic moment of a divalent ion in aqueous solution if its atomic number is 25

Choose an answer

3.0 BM

4.9 BM

5.9 BM

6.9 BM

Two vitamins absorbed from intestine along with fats are

Choose an answer

A, D

A, B

A, C

D, B

Sometimes a yellow turbidity appears while passing H₂S gas even in the absence of II group radicals. This is because

Choose an answer

Sulphur is present in the mixture as impurity

IV group radicals are precipitated as sulphides

Of the oxidation of H₂S gas by some acid radicals

III group radicals are precipitated as hydroxides

Which of the following is an electrophile

Choose an answer

Bromine

KBr

NH₃

Benzene

Ozone layer of stratosphere requires protection from indiscriminate use of

Choose an answer

Fungicides, insecticides, bactericides and medicines

Aerosols and high flying jets

Atomic explosions and industrial wastes

Baloons and turbo-prop aeroplanes

The shape of CIO^-₃according to valence shell electron pair repulsion theory will be

Choose an answer

Planar triangle

Pyramidal

Tetrahedral

Square planar

Identify the compound formed, when ethylene combines with water in the presence of 10% sulphuric acid and HgSO₄as catalyst

Choose an answer

Carbinol

Methanol

Ethanol

Glycol

Which of the following alkyl halides is used as a mathylating agent

Choose an answer

CH₂H₅l

CH₃l

C₂H₅Pr

C₂H₅Cl

3.01 x 10²²Ag⁺ions is present in

Choose an answer

85 grams AgNO₃

0.85 g AgNO₃

8.5 g AgNO₃

18.5 g AgNO₃

Carbon monoxide, emitted by automobiles, prevents transport of oxygen in body due

Choose an answer

Combining with oxygen to form carbon dioxide

Destruction of hemoglobin

Preventing reaction between oxygen and hemoglobin

Forming stable compound with hemoglobin

Decreases om concentration of reactant is denoted by

Choose an answer

dc/dt

-dc/dt

+dc/dt

None

The mass of the neutron is of the order of

Choose an answer

10^-23kg

10^-24kg

10^-26kg

10^-27kg

Forms of waste products :

Choose an answer

Heat

Smoke

Solid

All of these

A beaker contains 9 grams of water. The number of H-atoms is

Choose an answer

6.02 x 1023

3.01 x 1023

6.02 x 1024

3.01 x 1024

Coordination sphere may be:

Choose an answer

Cationic

Anionic

Neutral

All above

Type of isomerism in BrCH=CHBr is:

Choose an answer

Structural isomerism

Conformational isomerism

Geometrical isomerism

Positional isomerism

Which reagent is used to reduce a carboxylic group to an alcohol?

Choose an answer

H2/Ni

H2/Pt

NaBH4

LiAIH4

A compound containing carboxyl group in them are called:

Choose an answer

Ketone

Ether

Carboxylic acids

Polycarboxylic acid

Pollutant of automobile exhausts that affects nervous system/produces mental diseases is

Choose an answer

Mercury

Lead

Nitrogen oxide

Sulphuric oxide

The silver bromide in hypo (Na₂S₂O_{3) solution is}

Choose an answer

Soluble

Not soluble

Precipitated

Not effect

In a group IIA from top to bottom as the atomic number increases, there is regular decreases in

Choose an answer

Ionic size

Atomic size

Ionization potential

None of these

Sterols, vitamin D and terpenese belong to

Choose an answer

Simple lipids

Complex lipids

Derived lipids

None

The natural fertilizers consist of

Choose an answer

Plants

Animals

Both plants and animals

Microorganisms

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

Choose an answer

Carbon

Hydrogen

Nitrogen

Sulphur

The number of moles of solute dissolved per dm³of the solution is called :

Choose an answer

Normality.

Molarity.

None of above.

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

DNA has deoxyribose, a base and the third component is

Choose an answer

Phosphoric acid

Ribose

Adenine

Thymine

Rutherford's atomic model suggests the existence of

Choose an answer

Atom

Nucleus

alpha particle

Measons

Which is the derived lipid?

Choose an answer

Common fats

Vitamin-D

Common oils

Spinolipids

Eletronegativity difference in C-C bond in alkanes is:

Choose an answer

Zero

Double

Half

4.0

Which is not a fossil fuel

Choose an answer

Petroleum

Coal

Natural gas

None of them

Choose an answer

Pent -1-ene-3-yne

2-pentyne-4-ene

1-pentene-3-yne

Pent-2-yen-4-ene

Benzene is not prepared from

Choose an answer

Acetylene

Phenol

Benzoic acid

Bromo benzene

Ethyl acetate is obtained when methyl magnesium iodide reacts with

Choose an answer

Ethyl formate

Ethyl choroformate

Acetyl chloride

carbondioxide

Elements have the tendency to attain 8 electrons in their valence shell. This is known as

Choose an answer

Octer rule

Hunds rule

Pauli exclusion principle

Auf ban principle

Which one of the following is a water soluble vitamin

Choose an answer

Niacin

Riboflavin

Tyrosine

Ascorbic acid

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

For which of the following sets of quantum numbers and electron will have the highest energy?

Choose an answer

3,2,1,1/2

4,2,-1,1/2

4,1,0,-1/2

5,0,0,1/2

Mixture of alcohol and water can be separated by

Choose an answer

Solvent extraction techniques

Crystallization

Precipitation and filtration

Fractional distillation

Which of the following is not charged particle

Choose an answer

Proton

Electron

Neutron

Hydrogen nucleus

Reactivity of alkyl halides with magnisium is of the order:

Choose an answer

Rl > RBr> RCl > RF

RBr > RCl >RF > Rl

RCL > RF > Rl > RBr

RF >RI >RBr > RII

The metal present in blood is

Choose an answer

Al

Hg

Cu

Fe

If a salt bridge is removed between the two half cells, the voltage

Choose an answer

Drops to zero

Does not change

Increases gradually

Increases rapidly

Metal used in the preparation of Grignard's reagent is:

Choose an answer

Ca

Na

Mg

Zn

Which is not a method for solid waste management

Choose an answer

Landfill

Incinerating

Recycling

None of these

Aldehyde and small methyl ketones form crystalline ______ ppts with saturated sodium bisulphate solution

Choose an answer

White

Red

Yellow

None of these

Iodoform test is given by:

Choose an answer

Formaldehyde and Higher ketones

Formaldehyde

Acetaldehyde and methyl ketones

Acetaldehyde

The covalent bonds are

Choose an answer

Unidirectional

Bi-directional

Non-directional

Multi-directional

Direct conversion of solid intro vapours is called:

Choose an answer

Crystallization

Sublimation

Obligation

Vapourization

Which one of the following elements occurs free in nature?

Choose an answer

N

P

As

Sb

Molecular orbital picture of N₂indicates

Choose an answer

One unpaired electron

Two unpaired electron

No unpaired electron

None of these

What is the total number of different chloroethanes of formula C₂H_6-nCl_npossible (n may be 1 to 6)

Choose an answer

6

8

9

10

In Tolten's best, the end product is ______ formed

Choose an answer

White ppts

Red ppts

Yellow ppts

Silver mirror

A six membered ring containing one double bond called

Choose an answer

Cyclohexene

Cyclohexane

Cyclohexadiene

None

The degree of polarity of molecule is known as its

Choose an answer

Dipole moment

Moment arm

Bond energy

Ionic character

Carboxylic acids are more acidic than pehnol and alcohol because of

Choose an answer

Intermolecular hydrogen bonding

Formation of dimmers

Highly acidic hydrogen

Resonance stabilization of their conjugate base

Alkanes normally have ______ hybridization

Choose an answer

Sp

Sp²

Sp³

d sp³

NaHCO₃is commonly called

Choose an answer

Soda ash

Baking soda

Washing soda

None of these

Al is the most element in earth crust:

Choose an answer

O

Si

Al

Pb

Source of organic compounds primarily is:

Choose an answer

Plants

Animals

Minerals

A & B

What mass of NaOH is required to prepare 2.5 dm³of 1.5 M NaOH solution

Choose an answer

130 g

140 g

150 g

160 g

Two moles of HI was heated in a sealed tube at 440°C till the equilibrium was reached. HI was found to be 22% decomposed. The equilibrium constant for dissociation is

Choose an answer

0.282

0.0796

0.0199

1.99

Which is used as a coagulant:

Choose an answer

Ferric Salts

Potash alum

a and b both

Chlorine

Choose an answer

Increase in concentration of 1

Decrease in concentration of I₂

Increase in temperature

Increase in total pressure

Which of the following expressions show a heterolytic bond fission

Choose an answer

Cyanohydrin of which of the following forms lactic acid

Choose an answer

HCHO

CH₃COCH₃

CH₃CHO

CH₃CH₂CH₂CHO

Drawback DDT as presticide is

Choose an answer

I becomes ineffective after some time

It is less effective than others

It is not easily/rapidly degraded in nature

Its high cost

What is the volume in cm³of 3.01 x 10²³molecules of O₂gas at S.T.P

Choose an answer

1000 cm³

11000 cm³

1120 cm³

11200 cm³

A carbon atom carrying a postitive charge and attached to three other atoms of groups is called

Choose an answer

Caronium ion

Carbanion

Oconium ion

Carba ion

The bond order of individual C - C bond is benzene is

Choose an answer

One

Two

Between one and two

One and two alternately

A solution consisting of 92 grams ethyl alcohol (C₂H₅OH) 96 grams methyl alcohol (CH₃OH) 90 grams water the mole fraction and mole percent of methyl alcohol is

Choose an answer

0.3. 30%

0.2, 30%

0.5, 30%

0.2, 20%

According to Lewis concept ethers behave as:

Choose an answer

Acid

Base

Acid as well as a base

None of them

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

The energy required to break one mole of bonds to form neutral atoms is called

Choose an answer

Bond length

Bond strength

Bond energy

None of these

Which of the following liquid pairs shown a positive deviation from Raoult's law

Choose an answer

CH₃COOH₃+ CH₃CI

C₆H₆+ CH₄OH

H₂O + HCI

H₂O + HNO₃

In an experiment the concentration of a reactant 'A' is doubled the rate increases four times. If concentration in tripled, then rate increases nint times. Thus the rate is proportional to ______ of concentration of 'A'

Choose an answer

Square root

Square

Twice

Cube

In macromolecules DP stands for

Choose an answer

Dissociation parameter

Dissociation polymer

Degree of polymerization

None of these

The self linking property of carbon is called as

Choose an answer

Linking polymerization

Addition

Catenation

Elimination

Which one of the following gases is used for artificial ripening of fruits

Choose an answer

Ethene

Ethane

Methane

Propane

Acetamide is

Choose an answer

Highly acidic

Highly basic

Neutral

amphoteric

Factors affecting denaturation of proteins:

Choose an answer

Change in temp and pH

Strong reducing agent

Strong oxidizing agent

All of these

5g of glucose is dissolved fro 100 cm of solution. Percentage of solution is :

Choose an answer

5 % v/w

5 % w/v

5 % w/w

Which decolourizes the colour of Br₃

Choose an answer

CH₄

CH_3-CH₃

CH_3-CH_3-CH₃

CH₂₌CH₂

Which of the following forms a toxic substance in blood by combing with hemoglobin?

Choose an answer

Carbon dioxide

Carbon monoxide

Oxygen

Methane

Which of the following is formed by the action of water on sodium peroxide?

Choose an answer

H₂

N₂

O₂

CO₂

Polymer formation from monomers starts by

Choose an answer

Condensation reaction between monomers

Coordination reaction between monomers

Conversion of monomer to monomer ions by protons

Hydrolysis of monomers

Which is in differnet phase form other metals

Choose an answer

Ni

Hg

Cd

Na

Which of the following is not isoelectronic?

Choose an answer

Na⁺

Mg²⁺

O^2-

Cl^-

The bond order in No is 2.5 while that in NO⁺is 3.Which of the following statements is true for these two species?

Choose an answer

Bond length in NO⁺is greater than in NO

Bond length in unpredictable

Bond length in NO⁺is equal to that in NO

Bond length in NO is greater than in NO⁺

Which of the following will not give iodoform test?

Choose an answer

Ethanol

Ethanal

Isopropyl alcohol

Benzyl alcohol

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

The element with atomic number 55 belongs to which block of the periodic table

Choose an answer

s-block

p-block

d-block

f-block

An azeotropic mixture showing it's positive deviation from Raoult's law, the volume of the mixture is :

Choose an answer

Slightly more than the total volume of the components.

Slightly less than the total volume of the components.

Equal to the total volume of the components.

None of these.

Choose an answer

The heat released is enthalpy of neutralization

The heat released is enthalpy of atomization

The heat released is enthalpy of sublimation

The heat released is enthalpy of formation

The addition of unsymmetrical reagent to an unsymmetrical alkene is in accordance with the rule

Choose an answer

Hund's rule

Markowvikov's rule

Pauli's exclusion principle

Auf ban principle

The molar boiling point constant is the ration of elevation in boiling point to :

Choose an answer

Molarity

Mole fraction of solvent

Mole fraction of solute.

The unit of rate constant K ismole^-1 dm³for a chemical reaction, the order of reaction is :

Choose an answer

Order of reaction can determined by an experiment

Order of reaction can determined from a balance equation only.

Order of reaction can determined increases by increasing temperate.

Order of reaction must be in whole number and not in fraction.

The protection of steel by chrome plating is due to

Choose an answer

Cathodic protection

Anodic protection

Covering of steel surface

Formation of alloy with iron

Choose an answer

RCH(CH₃)CO₂H + CH₃OH

RCH(CH₃)CO₂H + HCO₂H

RCH(CH₃)OH + CO₂

RCH(CH₃)OH + HCO₂H

Dipole moment of CO molecule is:

Choose an answer

0.0

1.112 D

0.112 D

2.112 D