Question # 1

Choose an answer

x

y

The symbol of irrational is

Choose an answer

W

N

Q

Q'

The value of i⁴ⁿ⁺¹

Choose an answer

1

-1

i

i²

For a set A, A∪Ac= ---------------------

Choose an answer

A

∅

Ac

U

A fraction in which the degree of the numerator is less the degree of the denominator is called

Choose an answer

Polynomial

Proper fraction

Rational fraction

None

Name the property used in 4.1 + (-4.1) = 0

Choose an answer

Additive inverse

Multiplication inverse

Additive identity

Multiplication identity

Choose an answer

1.5

1.2

8

None of these

Choose an answer

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

Choose an answer

Boundaries

Variable separable

Initial values

None

Choose an answer

The range of the principal sine function is

Choose an answer

5x^{4 + c}

1/6 x⁶+ c

5x²+ c

1/5 x⁶+ c

Choose an answer

2x + 3

x²+ 3 + c

Choose an answer

x³

3x²

3x

3

An improper rational fraction can be reduced by division to a

Choose an answer

Proper fraction

Polynomial

mixed form

Choose an answer

9

-9

0

1

Inequalities have ______ symbol

Choose an answer

2

3

4

1

The solution set of the equation 1 + Cos x = 0 is __________

Choose an answer

none of these

If f(x) = -x³then f(-2) is

Choose an answer

-2

-4

-8

8

The roots of the equation will be irrational if b²- 4ac is

Choose an answer

Positive and perfect square

Positive but not a perfect square

Negative

Zero

Choose an answer

none of these

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

Choose an answer

[0, 1]

[-1, 1]

[1, 3]

None of these

The inclination of a line parallel to x-axis is

Choose an answer

A die is rolled. What is the probability that the dots on the top are greater than 4?

Choose an answer

1/4

1/2

1/3

1/33

The axis of the parabola y²= 4ax is

Choose an answer

X = 0

Y = 0

X = y

X = -y

If -1 < x < 0, which of the following statements must be true?

Choose an answer

x < x²< x³

x < x³< x²

x²< x³< x

x²< x < x³

The value of x, and y, when (x + iy)²= 5 + 4i

Choose an answer

X = 2, y = -1

X = -2, y=1

X = 2, y = -1

X = 2, y = 2

Choose an answer

In f(x) + c

f(x) - c

Express the perimeter P of square as a function of its area A?

Choose an answer

P = 4√A

P =√A

P = 2A

P =π√A

In R, the additive identity is

Choose an answer

0

1

-1

None

Choose an answer

The radius of the circle x²+ y² - 6 x + 4 y +13 = 0 , is

Choose an answer

1

2

0

None of these

i is equal

Choose an answer

(1 , 0)

(0 , 1)

(1 , 1)

(0 , 0)

n! > 2ⁿ-1 is true when

Choose an answer

n≤ 3

n≤ 6

n≥ 4

n≤ 6

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)

The unit vector along x-axis is

Choose an answer

none of these

Which term of the A.P 5,8,11,24.............is 320

Choose an answer

104th

106th

105th

64th

The end points of the major axis of the ellipse are called its

Choose an answer

Foci

Vertices

Co - vertices

None of these

Two quadratic equation in which xy term is missing and the coefficients of x²and y²are equal, give a linear equation by ______

Choose an answer

Addition

Subtraction

Multiplication

Division

Choose an answer

A polynomial P(x)has a factor (x-a)if P(a) =

Choose an answer

a

x

1

0

The point of concurrency of the medians of a triangle is called

Choose an answer

incentre

circumcentre

e-centre

centroid

A bag contains 7 whit, 5 black and 4 rd balls. If two balls are drawn at random from the bag, the probability that they are not of the same color is

Choose an answer

73 / 120

83 / 120

67 / 120

43 / 120

There are ______ basic techniques for solving a quadratic equation

Choose an answer

Two

Three

Four

None of these

Graph of the question x²+ y²= 4 is

Choose an answer

A circle

An ellipse

A parabola

A square

A die is thrown, the probability that the dots on the top are prime numbers or odd numbers is

Choose an answer

1/2

2/3

1/3

2/5

Zero is

Choose an answer

An irrational number

A rational number

A negative integer

A positive number

If origin is the mid point of (a, -3) and (-5, b) then

Choose an answer

a = -5 , b = -3

a = 5 , b =3

a = -5 , b = 3

a = 5 , b = -3

Choose an answer

x³+ 2x²- 3x + 5 is ______

Choose an answer

An equation

A polynomial

Proper rational fractions

Improper rational fractions

The identity element with respect to subtraction is

Choose an answer

0

1

-1

Does not exist

A∪(A∪B)= --------------------

Choose an answer

B

A

A∪B

None of these

Empty set is

Choose an answer

Not the member of real numbers

Infinite set

Finite set

Not subset of every set

Choose an answer

-2x³

2x^-3

-2x^-3

2x³

If S is a sample space and event set E =Φ then P(E) is

Choose an answer

>0

1

<1

0

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

The maximum value of 12 sinθ-9 sin²θis x

Choose an answer

3

4

5

None of these

The period of tan x/7 is

Choose an answer

3π

7π

15π

5π

6 is

Choose an answer

A prime integar

An irrational number

A rational number

An odd integer

If a +b +c =0 then which of the following is true

Choose an answer

a =b =c =0

a,b =b,c =c,a

a xb=b xc =c xa

None

A triangle which is not right is called an ______ triangle

Choose an answer

Acute

Obtuse

Oblique

None of these

Choose an answer

1

-1

If P, Q, R be the A.M., G.M., H.M. respectively between any two rational numbers a and b, then P - Q is

Choose an answer

If A and B are two sets then any subset R of B x A is called

Choose an answer

relation on A

relation on B

relation from A to B

relation from B to A

Multiplicative inverse of 0 is

Choose an answer

0

1

+-1

Does not exist

Choose an answer

0

Independent of a

Independent of b

Independent of c

The maximum value of the quadratic function f(x) = 2x2-4x+7,is

Choose an answer

3

5

-3

-5

What is the value of cos-1(1/2)?

Choose an answer

π/3

π/4

3π/2

π/6

Choose an answer

Which of the vectors have opposite direction?

Choose an answer

A,G,H are in

Choose an answer

A.P

G.P

H.P

None of these

The directrix of y2 =-4ax is

Choose an answer

y =-a

y = a

x = a

x = -a

Choose an answer

R

2R

r

2r

If A(x₁, y₁) , B(x₂, y₂) and C(x₃, y₃) are the vertices of a triangle then its centroid is

Choose an answer

InΔABC if y = 90° then the Pythagoras theorem is

Choose an answer

b2 + c2 =a2

a2 + b2 = c2

a2 +c2 = b2

None of these

(1+w)(1+w2)(1+w4)(1+w8)....50 factors

Choose an answer

0

-1

1

2

x = secθ,y = tanθ are the parametric equations of

Choose an answer

Circle

Hyperbola

Ellipse

parabola

the largest degree of the terms in the polynomials is called

Choose an answer

terms of the polynomial

degree of a polynomial

co-efficient

monomial

Gooch crucible is made of :

Choose an answer

Brass.

Porcelain.

Bronze.

Gold.

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

b = c

a = c

b = 0

Choose an answer

Addition

Multiplication

Division

Both addition and multiplication

Choose an answer

range of f

domain of f

both (a) and (b)

none of these

The set of rational number is represented by

Choose an answer

W

R

Q'

Q

The term involving x⁴in the expansion of (3 - 2x)⁷is

Choose an answer

120

1512

1250

15120

If A is skew Hermitian Matrix then which of the following is not skew Hermitian matrix

Choose an answer

A2

A5

A3

A7

Choose an answer

f(x) = 3x⁴ -2x² + 7 is:

Choose an answer

an even function

an odd function

an even and implicit function

neither even nor a odd

What is the circular measure of the angles between the hands of which at 4 o clock

Choose an answer

π/6

3π/2

π/4

2π/3

Choose an answer

Reciprocal equation

Exponential equation

Radical equation

None of these

The line y= 4x +c touches the hyperbola x2- y2 =1 if and only if

Choose an answer

c =±√2

c =0

c=±√17

c=±√15

Choose an answer

X = 100 sinθ

X = 10 sinθ

X = 100 secθ

None of these

Choose an answer

π/ 2

π/ 3

π/ 4

π

3/2 is

Choose an answer

An irrational number

Whole number

A positive integer

A rational number

The nth term of a G.P. is

Choose an answer

a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

Choose an answer

cos x

- sin x

- cos x

tan x

No term of a harmonic sequence can be

Choose an answer

0

1

2

3

Choose an answer

One-one but not onto

One-one and onto

Onto but not one-one

Neither one-one nor onto

Which of the following cannot conduct electricity :

Choose an answer

NaCl fused.

NaCl(aq)

NaCl(Solid)

Both (b) and (c)

When n-hexane is heated in the presence of Pt at 500°C, it cyclists to give

Choose an answer

Benzene

Cyclohexene

Benzene

Toluene

In CCL4 solvent I3 shows:

Choose an answer

Blue Color

Brown Color

Purple Color

Pink Color

Splitting of spectral lines when atoms are subjected to strong electron field is called

Choose an answer

Zeeman effect

Stark effect

Photoelectric effect

Compton effect

Benzene does not undergo polymerization and it is also resistant to

Choose an answer

Reduction

Oxidation

Alkylation

Ozonolysis

The main structure features of proteins is

Choose an answer

An ester linkage

An ether linkage

The peptide linkage

All

Inter molecular forces in solid hydrogen are

Choose an answer

Covalent forces

Van der Waal forces or London dispersion forces

Hydrogen bonds

All of these

Grignard's reagent on treatment with dry CO₂and HCI yields

Choose an answer

Ester

Alcohol

Carboxylic acid

Aldehyde

In the expression rate = K [A]^a[B]^bK is

Choose an answer

The order of reaction

The speed of reaction

The specific rate constant

The overall order of reaction

One of the following statements is incorrect

Choose an answer

Actual yeild is always less than the theoretical yield

The formula of a compound is not definite

Law of conservation of mass is applied in stoictiometry

Boyles law is applied in stoichiometry

Solutions with same osmotic pressures are called

Choose an answer

Hypertonic

Hypotonic

Isotonic

Normal

Number of sigma bonds in P₄O₁₀is

Choose an answer

6

7

17

16

Chromyl chloride and toluene react to produce

Choose an answer

p-chlorotoluene

Benzaldehyde

Benzyl chloride

Bezoic acid

Chloroflurocarbon releases a chemical harmful to ozone

Choose an answer

Fluorine

Chlorine

Nitrogen peroxide

Sulphure dioxdie

Which is not the poplar reaction

Choose an answer

Two different hydrocarbon each contain the same percentage by mass of hydrogen. It follows that they have the same

Choose an answer

Empirical formula

Number of atoms in a molecules

Number of isomers

Relative molecular mass

For what value ofK_{c almost forward reaction is complete :}

Choose an answer

K_{c =}10³⁰

K_{c =}10^-30

K_{c =}0

K_{c =}1

If 18 g glucose (C₆H₁₂C₆) is present in 1000 g of an aqueous of glucose it is said to be

Choose an answer

1 molal

1.1 molal

0.5 molal

0.1 molal

The elimination of hydrogen halide from adjacent carbon atoms is called

Choose an answer

Dehydrogenation

Hydrogenation

Dehydrohalogenation

Hydrohalogenation

Which statement in not correct about alcohol?

Choose an answer

Ethyl alcohol is heavier than water

Ethyl alcohol ecaporates more quickly

Alcohol with less number of carbon atoms is more soluble in water than alcohol with more number of carbons atoms

Alcohol produces H₂by reaction with sodium metal

Vinyl acetylene combines with HCl to form:

Choose an answer

Polyacetylene

Benzene

Chloroprene

Divinyl acetylene

Choose an answer

Non polar R group

Polar R group

Acidic R group

Metallic R group

Among O, C, F, Cl, Br, the correct order of increasing radii is

Choose an answer

F O C Cl Br

F C O Cl Br

F Cl Br O C

C O F Cl Br

Marsh gas was the name given to

Choose an answer

Methane

Ethane

Propane

Butane

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

Choose an answer

Formaldehyde

Aldehyde

Ketones

Acetone

When a nitrogeneous base combine with a sugar it is called

Choose an answer

Ribose

Nucleotides

Nucleoside

None

During electrolysis of KNO₃, H₂is evolved

Choose an answer

Anode

Cathode

Both a and b

None

The acid showing salt like character in aqueous solution is

Choose an answer

Acetic acid

Benzoic acid

Formic acid

α - Aminoacetic acid

Which one of the following is a water soluble vitamin?

Choose an answer

Naacin

Riboflavin

Trypsin

Ascorbic acid

If the value of azimuthal quantum number is 3, then values of m the magnetic quantum no. will be

Choose an answer

0, 1, 2, 3

+3, +2, +1, -1, -2, -3

0, -1, -2 ,-3

-3, 0, +3

In which molecule carbon atom is sp²hybridized

Choose an answer

CH₄

C₂H₄

C₂H₂

None of the above

The isotopes of an element

Choose an answer

Possess same mass number

Possess same number of protons

Do not possess same chemical properties

May or may not possess same chemical properties

The uncertainty principle was stated only

Choose an answer

De Brogilie

Heinsenberg

Einstein

Schrodinger

When during electrolysis of a solution of AgNO₃, 9650 coulombs of charge pass through the electroplating bath, the mass of silver deposited on the cathode will be

Choose an answer

1.08 g

10.8 g

21.6 g

108 g

During electrolysis, electrons are :

Choose an answer

Lost by anions and gained by cations

Gained by anions and lost by cations

Gained only

Lost only

Which of the following is a strong electrolyte?

Choose an answer

Ca(NO₃)₂

HCN

CH₃COOH

NH₄OH

The process in which solvent particles surround solute particles is called

Choose an answer

Hydrolysis

Hydration

Solvation

Dissolution

Given below are some statements concerning formic acid, which of them is true?

Choose an answer

It is a weaker acid than acetic acid

It is a reducing agent

When its calcium salt is heated, it forms a ketone

It is an oxidizing agent

The largest number of molecules are present in

Choose an answer

3.6 g of H₂O

4.8 g of C₂H₅OH

2.8 g of CO

5.4 g of N₂O₅

The symbol of the element whose atoms have the outer most electronic configuration 2s²2p³is

Choose an answer

N

Li

P

Na

Which of the following fluorides does not exists?

Choose an answer

NF₅

PF₅

AsF₅

SbF₅

Corrosion is basically a

Choose an answer

Altered reaction in presence of H₂O

Electrochemical phenomenon

Interaction

Union between two light metals and a heavy metal

Which of the following possesses the highest melting point?

Choose an answer

Chlorobenzene

0-Dichlorobenzene

m-Dichlorobenzene

p-Dichlorobenzene

The steroids of fungi and yeast are called:

Choose an answer

Vitamin D

Vitamin D₂

Ergosterol

Cholestorl

Which of the following compounds contains the highest percentage by mass of nitrogen?

Choose an answer

Ammonia, NH₃

Ammonium carbamate, NH₂CO₂NH₄

Ammonium carbonate, (NH₄)₂CO₃

Hydrazine, N₂H₄

Bohr model of atom is contradicted by:

Choose an answer

Planck's quantum theory

Pauli's exclusion theory

Heisenberg's uncertainty principle.

All of above.

Which one of the following is a product of the reaction between C₆H₅CH₂OH and CH₃COCI

Choose an answer

C₆H₅OCOCH₃

C₆H₅CH₂CI

C₆H₅CH₂OCOCH₃

C₆H₅CH₂COCI

The fibre which is made form acrylonitrile as monomer

Choose an answer

PVC

Rayon fibre

Acrylic fibre

Polyester fibre

Direct conversion of solid into vapors is called :

Choose an answer

Crystallization

Sublimation

Obligation

Vaporization.

The chemical formula of Epson salt is

Choose an answer

MgSO₄

MgCl₂

MgSO₄. 7H₂O

MgCl₂. 7H₂O

Choose an answer

-110.7 KJ/mole

+110.7 KH mole^-1

676.7 KJ mole^-1

+393.7 KH mole^-1

Freezing point depression is measured by

Choose an answer

Beckmann's apparatus

Lands Berger's method

Antifreeze apparatus

All of the above

Alkaline earth metals are usually

Choose an answer

Reducing agent

Oxidizing agent

Amphoteric

Acidic

The bond length b/w atoms of hydrogen in the hydrogen molecules is:

Choose an answer

7.54 nm.

0.0754 nm.

0.754 nm.

0.00754 nm.

White phosphorus is

Choose an answer

A mono atomic gas

P₄, a tetrahedral solid

P₈, a crown

A linear diatomic molecule

A solution having pH = 4 its OH^-ion concentration in mole dm^-3is

Choose an answer

1.0 x 10^-4

1.0 x 10^-10

1.0 x 10^-14

1 x 10⁰

Which element form group 15 gives most basic compound with hydrogen?

Choose an answer

Nitrogen

Bismuth

Arsenic

Phosphorus

Forms of waste products :

Choose an answer

Heat

Smoke

Solid

All of these

Hydrolysis of an ester gives a carboxylic acid which on Kolbe's electrolysis yields ethane. the easter is

Choose an answer

Ethyl methonoate

Methyl ethanoate

Propylamine

Ethylamine

strength of an acid can be determined by

Choose an answer

P^ka

P^kp

P^oH

P^kw

Which of the following statements is no correct regarding bonding molecular orbitals?

Choose an answer

Bonding molecular orbitals possess ls energy than atomic orbitals from which they are formed.

Bonding molecular orbitals have low electron density between the two nuclei.

Every electron in bonding molecular orbitals contributes to the attraction b.w atoms.

Bonding molecular orbitals are formed when the electron waves undergo constructive interference.

A solution has pH = 0, its H⁺ion concentration is

Choose an answer

1 x 10^-14

1 x 10¹⁴

1 x 10¹

1

The covalent radius of Cl atom is:

Choose an answer

99.4 pm.

176.7 pm

38 pm

76 pm.

Mixture of alcohol and water can be separated by

Choose an answer

Solvent extraction techniques

Crystallization

Precipitation and filtration

Fractional distillation

The fractions obtained from fractional distillation of petroleum are placed in increasing order of their boiling points. Which order is correct

Choose an answer

Natural gas, petroleum ether, gasoline kerosene

Petroleum ether, kerosene, natural gas, petroleum ether

Gasoline, kerosene, natural gas, petroleum ether

Kerosene, gasoline, petroleum ether, natural gas

Hybridization of each carbon atom in benzene ring is

Choose an answer

sp hybridized

sp²hybridized

sp³

dsp²

Those compound which have any atom other than C as member of rings are called as

Choose an answer

Monocyclic

Hetrocyclic

Aliphatic

Both a and b

Which is not a colligative property?

Choose an answer

Osmotic pressure

Lowering of vapour pressure

Depression of freezing point

Elevation of boiling point

Factors affecting denaturation of proteins:

Choose an answer

Change in temp and pH

Strong reducing agent

Strong oxidizing agent

All of these

Which of the element is not an alkaline earth metal

Choose an answer

Beryllium

Strontium

Barium

Caesium

Ionic hydrides are generally

Choose an answer

Liquid at room temperature

Good electrical conductors

Good reducing agents

Easily reduced

Choose an answer

Le-chatlier's principle

Only adding catalyst

Decreasing pressure

Decreasing temperature

When ammonia is heated with cupric oxide, a molecule of ammonia will

Choose an answer

Gain 3 electrons

Lose 3 electrons

Gain 2 electrons

Lose 2 electrons

Micro-nutrients are required in quantity ranging from

Choose an answer

4g-40g

6g-200g

6Kg-200Kg

4Kg-40Kg

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

Macromolecules or polymers are large molecules built up from small molecules called monomers. This hypothesis put forward by

Choose an answer

Schrodixger

Standinger

Lewis

Newton

Ethanal may be converted into a three-carbon acid in a two-step process.

Which compound is the intermediate

Choose an answer

CH₃CO₂H

CH₃CN

CH₃CH₂CN

CH₃CH(OH)CN

Compounds X, Y and Z, all react with PCI₅to release hydrogen chloride, but only one of them reacts eith 2,4-dinitrophenylhydrazine reagent. Which one of the following combinations could be X, Y and Z

Choose an answer

Nylon 6, 6 is prepared by the reaction of nexamethylene with

Choose an answer

Formic acid

Acetic acid

Adipic acid

None of these

Sodium hexametaphophate is known as

Choose an answer

Calgon

Permutite

Natalite

Nitrolim

The diameter of atoms is of the order:

Choose an answer

2* 10^-5m

2* 10^-10m

2* 10^-2m

2* 10^-3m

The most acidic of the following compounds is

Choose an answer

P₂O₃

Sb₂O₃

B₂O₃

As₂O₃

Protein are classified into

Choose an answer

Simple protein

Complex protein

Derived proteins

All of these

Ethylene decolorizes cold dilute solution of KMnO₄. This test is known as

Choose an answer

Colouration test

Baeyer's test

Silver mirror test

Ring test

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

Choose an answer

Hydrolysis

Electrolysis

Hydrogenation

Hydrogenolysis

A polymer may be

Choose an answer

Linear

Branched

Cross linked

All of these

In sp²type hybridization the three equivalent sp²orbitals lie in the same plane and at angle of

Choose an answer

0°

60°

120°

180°

Which of the following ion has the highest value of ionic radius?

Choose an answer

Li⁺

F^-

O^2-

B³⁺

What will react differently with the two isomeric pentols, (CH₃)₃CCH₂OH and (CH₃)₂CH CH₂CH₂OH

Choose an answer

Acidified (aq) KMnO₄

Concentrated H₂SO₄

PCl

Sodium

Which of the following has the maximum number of unpaired d-electrons?

Choose an answer

Zn

Fe²⁺

Ni³⁺

Cu⁺

Two H-atom combine to form a strong H₂molecule due to

Choose an answer

Increase in potential energy

Decrease in potential energy

Energy remains unchanged

Distance is increased

Two moles of acetic acid are heated with P₂O₅the product formed is

Choose an answer

2 moles of ethyl alcohol

Formic anhydride

Acetic anhydride

2 moles of methyl cyanide

Choose an answer

KC = KP

Kp = KcRT

Kp = kc(RT)^-2

Kp = Kc(RT)^-1

Choose an answer

Neutrons are attracted by nucleus

Neutrons carry out nuclear reactions

Neutrons carry no charge

Neutrons are electromagnetic radiations

Which of the following reaction is characteristic of benzene

Choose an answer

Electrophilic substitution reaction

Reduction

Oxidation

Ozonolysis

A compound X contains 50% sulphur and 50% oxygen by mass. What is the empirical formula of compound X?

Choose an answer

SO

SO₂

SO₃

SO₄

Which of the following orbitals have a dumb bell shape?

Choose an answer

s

p

d

f

Which of the following is not an example of addition polymer?

Choose an answer

Polyethene

Polystyrene

Neoprene

Terylene

What is the structure of the ester formed from propanoic acid and ethanol

Choose an answer

How many alcohol (including both structural isomers and stereoisomers) can have the molecular formula C₄H₁₀O

Choose an answer

3

4

5

6

Which is not nitrogeneous fertilizers?

Choose an answer

(NH₄)₂HPO₄

NH₄NO₃

Urea

Calcium phosphate