Question # 1

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e^x+ c

e^-x+ c

x e^x+ c

not possible

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5 / 12

3 / 8

5 / 8

7 / 4

If the angle between two vectors with magnitude 6 and 2 is 60° when their scalar product is

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12

6

3

0

If B⊆ A, then complement of B in A is = -----------------------

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A-B

A∩B

B-A

A∪B

The square roots of negative numbers is called

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Real no

Complex no

Positive no

Negative no

An infinite sequence has no

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nth term

Last term

Sum

None of these

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

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Equal sets

Equivalent sets

Over lapping sets

None of these

If A is such that a,A,B are in A.P then A is called

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A.M

Common ratio

Common difference

None of these

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

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y = x

y = x - 1

y = x + 1

22.5°=______

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The angle AOP which the ray from an observer's eye at O to an object at P at a lower level makes with horizontal ray OA through O is called the

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Angle of depression

Angle of elevation

Acute angle

Obtuse angle

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A rational number

A natural number

An irrational number

An integer

A line segment whose end points lie on a circle is called

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the secant of the circle

the arc of the circle

the chord of the circle

the circumference of the circle

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A

A'

U

None of these

14 is not a

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Prime number

Whole number

Even number

Real number

The graph of linear equation 2x + 3y = 10

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Parabola

Circle

Hyperbola

Straight line

p, q, r and s are integers. If the A.M. of the roots of x2- px + q2= 0 and G.M. of the roots of x2- rx + s2= 0 are equal, then

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q is an odd integer

r is an even integer

p is an even integer

s is an odd integer

A bag contains 3 white, 4 black and 2 red balls. If 2 balls are drawn at random, then the probability that both the ball are white is

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1/18

1/12

1/36

None of these

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The eccentricity of ellipse becomes zero, then it takes the form of:

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a parabols

a straight line

a circle

None of these

The number of words that can be formed out of the letters of the word ASSASSINATION is

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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

f(x) = 2x²+ 3x + 5 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

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

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-228

1/288

1/220

-1/177

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(-6,4)

(-3,2)

(6,-4)

(3, -2)

The discriminant of the quadratic equation ax²+ bx + c = 0 is

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b²+ 4ac

b²- 4ac

4ac - b²

a²- 4ac

The centre of the circle x2+y2 -2fx-2gy+x=0 is

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(-g,-f)

(g,f)

(f,g)

(-f,-g)

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

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An equation of the form ax + by = k is homogeneous linear equation when

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b = 0, a = 0

a = 0,b ≠ 0

b = -0,a≠ 0

a≠ 0,b≠ 0, k = 0

Associative law of multiplication

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ab = ba

a(bc) = (ab) c

a(b+c) = ab + ac

(a + b)c = ac + bc

The multiplicative inverse of 1 - 2i is

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If 5,7 and 9 are A.Ms between a and b, then a and b is equal to

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2 and 12

1 and 10

3 and 11

-7 and 2

G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are

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2, 2, 2

3, 3, 3

2, 2, 4

2, 3, 4

For two vector a and b, a+b = _______

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a b

b+a

b-a

None

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sin 2x + c

-sin 2x + c

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

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1-1 and onto

Bijective

1-1 and into

None of these

A card is drawn from a pack of cards numbered 1 to 52, the probability that the number on the card is a perfect square is

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1/13

2/13

7/52

None of these

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1, 1/2, 0

1, 2, 1

1, 2, 3

1, 2, 0

The distance of the point (a, b) from x-axis is

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a

b

a + b

Choose an answer

none of these

Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

How many types of an equation

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1

3

2

None

Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |A| =

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cos(a +β)-cos(a-β) = _______;

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2cosa cosβ

2sina cosβ

-25 in a cosβ

-2sin a sinβ

Φset is the ______ of all sets?

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Subset

Union

Universal

Intersection

sin 2 α=

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The number of divisors of 1029, 1547 and 122 are in

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A.P.

G.P.

H.P.

None of these

The sample space for tossing a coin twice is

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{H, T}

{HH, HT, TH, TT}

{H, T, HH}

{HH, HT, TT}

Choose an answer

- cot 4x + c

cot 4x + c

tan 4x + c

- tan 4x + c

If x⁴- 10x²- 2x + 4 is divided by x + 3, then the reminder is

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1

0

4

None of these

For any equilateral r :R :η :r1 :r2 :r3 =

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1:2:3:4:5

1:2:3:3:3

1:2:4:4:4

2:1 :2 :2 :2

csc(-π/2) = __________;

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0

1

-1

Undefined

2x + 3y > 4 is a linear inequality in

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one variable

two variables

three variables

none of these

If the exponent in the binomial expansion is 6, then the middle term is

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2nd term

3rd term

4th term

5th term

The number of values of x in the interval [0, 5π] satisfying the equation 3 sin²x - 7 sinx + 2 = 0 is

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0

5

6

10

Choose an answer

A triangle which is not right angle is called ______ triangle

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acute

Obtuse

Right

Oblique

The order of the matrix [1 2 3] is

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1 x 1

3 x 3

3 x 1

1 x 3

The first three terms in the expansion of (1 + x)^-1are

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1 + x + x²

1 - x - x²

-1 -x + x²

1 - x + x²

Choose an answer

Domain of cos x is ______

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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

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73 / 120

83 / 120

67 / 120

43 / 120

If a,b c are sides of a triangle taken in order then a x b =

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b x c

b x a

cxa

Both a & b

If f(x) = x + 1 then f(z²-1) is

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z²

z²+ 2

z²- 2

none of these

(x-1) is a factor of

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2x³-3x²+9

2x³-5x-8

48x^2-46x-9

x⁹-1

The identity element of a set X with respect to intersection in P(x) is

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X

Does not exist

∅

None of these

The mid point of the line segment joining the points (4,0) and (0,4) is

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(4,4)

(2,2)

(-4,-4)

(-2,-2)

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If y=f(x) is a function then x is called

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dependent variable

independent variable

constant

none of these

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

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incentre

circumcentre

e-centre

centroid

How many arrangements of the letters of the word PAKISTAN cab be made

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The probability to get an odd number in a dice thrown once is

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1/2

1/6

1/3

2

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If distance between (a,2) and (0,0) is 2 then a = _______

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0

2

4

Choose an answer

2 and 9

3 and 2

2/3 and 9

3/2 and 6

Choose an answer

f(x) = x²

f(x²) = x

f(x) = x

none of these

The 6th term of an arithmetic sequence whose first term is 3 and common difference in zero is

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18

6

3

0

If a set S contains n elements then P (S) has ........ number of elements

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2ⁿ

2ⁿ²

2.n

n²

The number of 5-digit number that can be formed from the digits 1,2,4,6,8, when 2 and 8 are never together is

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72

48

144

20

The range of the principle cos function is

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none of these

Gooch crucible is made of :

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Brass.

Porcelain.

Bronze.

Gold.

What is the period of tan 4/3 x =?

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π/4

4π/3

7π/4

3π/4

Choose an answer

If the graph of f is entirely below the x-axis, then the value of definite integral is

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= 0

< 0

> 0

None

w^-12= ______

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0

1

w

w²

In one hour, the hour hand of a clock turns through

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2 x 2

2 x 3

3 x 2

3 x 3

Choose an answer

1, 2, 3

1, 5, 9

2, 5, 8

3, 6, 9

Two positive integers whose sum is 30 and their product will be maximum are

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12,18

10,20

15,15

14,16

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

Choose an answer

The no of term is the expansion of (a+x)n-1 is

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n+1

n-1

n

n-2

The element range of sequence are called

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Series

progression

Members

Terms

An alkynes having Carbon count of 20 is

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gas

liquid

Solid

None

When potassium metal is exposed to violet light

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Ejection of electrons takes place

Ejection of some potassium atoms occurs

There is no effect

The absorption of electrons takes place

Cellulose does:

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Satisfy human appetite

Stimulates intestinal peristalsis

Gives fibre and bulk to the food

All of these

Which one of the following substances is a synthetic polyester

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Cotton

Nylon

Rayon

Terylene

A reaction is reversible because :

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Products are stable.

Reactants are reactive.

Products are reactive.

Reactants re stable.

The amount of heat evolved or absorbed in a process in the same whether the process takes place in one or several steps is the statement of

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First law of thermodynamics

Hess's law

Coulomb's law

Phase law

Formula of chloroform is

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CH₃CI

CCI₄

CH₂CI₂

CHCI₃

Choose an answer

Acidic amino acid

Basic amino acid

Neutral amino acid

None of these

Acid rain is due to increase in atmospheric concentration of

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Ozone and dust

CO₂and CO

SO₃and CO

SO₂and NO₂

An oil or fat with no double bond have iodine number:

Choose an answer

Zero

100%

50%

minimum

A peptide having molecular mass upto 10,000 is called a

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Vitamin

Protein

Polypeptide

Dipetide

Which of the following statement is correct for a chemical reaction to occur molecules of substances must

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Collide with each other

Collide with energy more than activation energy

Collide with energy less than activation energy

Collide with high frequency

Which reaction produces a free radical

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SN reaction

Homelytic fission reaction

Heterolytic fission reaction

Addition reaction

The oxides of electronegative elements are

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Basic

neutral

Acidic

Amphoteric

Hydrocarbans, SO₂, CO, NH₃, nitrogen oxides and compounds of fluorine are called

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Primary pollutant

Secondary pollutant

Tertiary pollutant

None of these

Which of the following expressions show a heterolytic bond fission

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Identification of a substance, determination of its structure an quantitative analysis of its composition are the aspects covered by:

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Modern analytical physics.

Mechanical chemistry.

Biochemistry.

Modern analytical chemistry.

Which is not the condition for the formation of smog

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There must be sufficient NO gas

There must be sunlight to help photo chemical reaction to take place

Air must be blowing swiftly

There must be SO₂in the air

Which is non typical transition element :

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Ni

Co

Y

Fe

Isotopes of an element differ in

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Number of protons

Number of electrons

Number of neutrons

Number of electrons and protons

C₆H₁₂O₆and C₁₂H₂₂O₁₁ are:

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Mono-atomic molecules

Diatomic molecules

Poly-atomic molecules

Hetero atomic molecules

Peroxyacetylnitrate (PAN) is an irritant to human beings and it affects:

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Eyes

Ears

Stomach

Nose

Which of the following nitrogen fertilizer contains more nitrogen

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NaNO₃

KNO₃

NH₄NO₃

Urea

At room temperature, the mole fraction of a solution in 0.25 and the vapour pressure of the solvent is 0.80 atm. Then the lowering of vapour pressure is

Choose an answer

0.75

0.512

0.80

0.0512

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

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K_{c =}10³⁰

K_{c =}10^-30

K_{c =}0

K_{c =}1

Elimination bimolecular reactions usually obey

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First order kinetics

Second order kinetics

Third order kinetics

Zero order kinetics

DDT is formed from

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Benzene and Chlorobenzene

Chloral and Chlorobenzene

Chloral and Benzene

Chlorobenzene and chlorine

Which of the following compound is no formed according to octet rule:

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KrF₂

XeF₂

XeO₃

SF₆

At what pH glycine shows the structure H_3N⁺-- CH₂-- COOH

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2

7

10

14

Which of the following reagents is used to distinguish acetone and acetophenone

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NaHSO₃

Grinard reagent

Na₂SO₄

NH₄Cl

Under what condition of temperature and pressure the formation of atomic hydrogen from molecular hydrogen will be favourd

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High temperature and high pressure

Low temperature and low pressure

High temperature and low pressure

:Low temperature and high pressure

The colour of a transition metal complex is due to d-d transition The colour of the complex is the complementary of the colour absorbed. Thus [Ti(H₂O₆]³⁺abosrbs yellow light and transmits blue and red colours therefore the solution of titanium complex appears

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Blue

Red

Yellow

Mixture of blue and red or violet

Azimuthal quantum number of last electron of ₁₁Na is

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1

2

3

0

Ammonia is injected under the soil surface:

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1 Feet

6 inches

6 Feet

9 inches

Proteins and amino acid can be separated by:

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Filtration

^Sublimation

Chromatography

Suction

Free radical mechanism of halogenation of alkanes follow step:

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Initiation

Propagation

Termination

All of these

Wacker method involves the conversion of alkene using PdCl₂into corresponding

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Alcohol

Ketone

Aldehyde

Ether

Choose an answer

Shift reaction toward forward direction

Shift reaction backward

Lower the value of K_c

No change in reaction

Which one is the major reason for pollution in high cities?

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Fossil fuel

Acid rain

Heat dispersion

None of the above

Acetic acid is manufactured by the fermentation of

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Ethanol

Methanol

Ethanal

Methanal

Which compound is more soluble in water?

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C₂H₅OH

C₅H₅OH

CH₃OCH₃

n-Hexanol

Two elements whose electronegativities are 1.2 and 3.0, the formed between them would be

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Ionic

Covalent

Coordinate

Metallic

pH of 0.1 molar HCl solution is

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1

zero

13

14

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

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Ethene

Ethane

Methane

Propane

Acetamides are formed by the reaction of carboxylic acids with

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Acids

Bases

Salts

NH₃

Which class of compound is more reactive

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Alkane

Alkene

Alkyne

None

Where lime is not used

Choose an answer

In refining or metals

In paper industry

In glass industry

In the preparation of NaOH

Partial pressure of a solution component is directly proportional to its mole fraction. This statement is known as

Choose an answer

Henry's law

Raoult's law

Distribution law

Ostwald's dilution law

The percentage of methane in natural gas is

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50%

60%

85%

90%

Choose an answer

99.2%

99.5%

90.5%

96.2%

Which of the following contains single bonds

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Benzene

Alkyne

Alkene

Alkane

Which statement is incorrect about standard hydrogen electrode

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Its oxidation and reduction potential is zero

It consists of Pt wire dipped on 1 molar HCI solution

The electrolyte is 1 molar NaOH solution

H₂gas is passes in it at 1 atmospheric pressure

Choose an answer

Hear of reaction

Heat of formation

Heat of neutralization

Heat of combustion

The polymers which can not be re-softened again and again are called

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Thermoplastic

Thermosetting

Both a and b

None

Which of the following will be good conductor of electricity

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Pure distilled water

Molten NaCl

Dilute solution of glucose

Chloroform

When a carboxylic acid reacts with alcohol, it produces a new class of compounds

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Ethers

Esters

Anhydride

Amides

Which technique is used to determine the absorption of radiations?

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Dilatometer method

Optical rotation method

Spectrometry

Refractometric method

Half life period of a first order reaction is independent of:

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Presence of catalyst.

Conditions of temperature

Initial concentration of the compound

All of above

Variable valency is generally exhibited by

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Normal elements

Transition elements

Metallic elements

None of these

If 5.85 g of NaCl are dissolved in 90 g of water, the mole fraction of NaCl is

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0.1

0.01

0.2

0.0196

1-Chlorobutane on reaction with alcoholic potash gives

Choose an answer

But 1-ene

Butan-1-ol

But-2-ene

Butan-2-ol

SO₂and NO₂produce pollution by increasing

Choose an answer

Alkalinity

Acidity

Neutrality

Buffer action

Which one of the following is not an alkali metal

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Francium

Caesium

Rubidium

Radium

Picric acid is

Choose an answer

2, 4, 6-Trinitrotoluene

2, 4, 6-Tribomoethanol

2, 4,6-Trinitrophenol

Para-Nitrophenol

The quantum number which describes the shape of the orbital is

Choose an answer

Principle quantum number

Spin quantum number

Azimathal quantum number

Magnetic quantum number

The molarity of toluene solution in benzene is 0.22 if 5 grams of toluene dissolved, then mass of benzene is grams is

Choose an answer

267

260

240

247

Cell in which an electric current drives a non-spontaneous reaction is called

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Electrolytic cell

Voltaic cell

Biological cell

Electrochemical cell

Which statement is true for Na and Na⁺

Choose an answer

Size of Na is smaller than Na⁺

Size of Na is greater than Na⁺

Both have same properties.

Both have equal sizes.

The formula of lime stone is

Choose an answer

CaCl₂

MgCO₃

Na₂CO₃

CaCO₃

It rate law of an equation is written asdx/dt=K[A][B] ?

Choose an answer

Reaction is independent of the concentration of A and B.

Product is decreasing with passage of time.

Reactant in increasing with passage of time.

Reactant is increasing with passage of time.

Fluted filter paper is used to:

Choose an answer

Decrease rate of filtration

Increase rate of filtration

Maintain rate of filtration

None of above

Which of the following is a polyamide?

Choose an answer

Nylon

Orlon

Teflon

Terylene

The next homologue of C₁₀H₂₂will be

Choose an answer

C₉H₂₀

C₁₂H₂₆

C₁₁H₂₄

C₁₃H₂₈

Which one of the following statement is wrong regarding differences between aldehydes and ketones

Choose an answer

Aldehydes undergo reduction to form primary alcohols while ketones undergo reduction to form secondary alcohols

Aldehydes undergo oxidation to form acids having less number of carbon atoms while ketones undergo oxidation to form acids having same number of carbon atoms

Aldehydes give positive silver mirror test while ketones give negative -mirror test

Aldehydes can undergo polymerization while ketones cannot undergo polymerizarion

Number of sigma bonds in P₄O₁₀is

Choose an answer

6

7

17

16

Which will have the maximum value of heat of hydration

Choose an answer

Na⁺

Cs⁺

Ba⁺²

Mg⁺²

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

Equal volumes of 0.1 M AgNO₃and 0.2 M NaCl are mixed. The concentration of NO^-₃ions in the mixture will be

Choose an answer

0.1 M

0.05 M

0.2 M

0.15 M

Which functional group is present in glycerol tristearate

Choose an answer

Carboxylic acid

Alcohol

Aldehyde

Ester

Phenol is also known as

Choose an answer

Acetic acid

Carbolic acid

Tararic acid

Trichloroacetic acid

A smuggler could not carry gold by chemically depositing iron on the gold surface since

Choose an answer

Gold is denser

Iron rusts

Gold has higher reduction potential then iron

Gold has lower reduction potential then iron

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

Which of the following is hypnotic?

Choose an answer

Acetaldehyde

Metaldehyde

Paraldehyde

None

Which of the following salt is used as purgative

Choose an answer

CaSO₄

MgSO₄

BeSO₄

NaCl

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

Choose an answer

Formaldehyde

Aldehyde

Ketones

Acetone

The factor which effect the rate of reaction

Choose an answer

Nature of reactants

Surface area

Light

All of the above

Which of all following compound is not possible

Choose an answer

1.0 g pure calcium carbonate was found to require 50 ml of dilute HCl for complete reaction. The strength of HCl solution is given by

Choose an answer

4 N

2 N

0.4 N

0.2 N

The comparative rates at which the solutes move in paper chromatography, depend on:

Choose an answer

the size of per sued.

R_f values of solutes

temperature of the experiment

size of the chromatography tank used.

Bakelite is obtained from phenol by reacting with

Choose an answer

Acetaldehyde

Acetal

Formaldehyde

Chlorobenzene

Which of the following species participate in sulphonation of benzene ring?

Choose an answer

H2SO4

HSO4

SO3

SO^-₂

Salol is prepared from

Choose an answer

Salicylic acid and phenol

Salicylic acid and methyl alcohol

Both

None

Equal volumes of ethylene glycol (molar mass = 62) and water (molar mass = 18) are mixed. The depression in freezing point of water is (given K_rof water = 1.86 K mol^-1kg and specific gravity of ethylene glycol is 1.11)

Choose an answer

0.003

3.33

0.333

33.3

Termochemistry is the study of chemical reaction accompanying

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Heat change

Rate change

Mass change

Volume change

The rate of reaction is denoted by

Choose an answer

dc/dp

dc/ac

dc/dT

dc/dt

Ionic hydrides are generally

Choose an answer

Liquid at room temperature

Good electrical conductors

Good reducing agents

Easily reduced

The carbon, carbon bond length in benzene is

Choose an answer

1.54A°

1.34A°

1.20A°

1.39A°

When carbon dioxide is passed through the R - Mg - X is produced

Choose an answer

Any carboxylic acid

Propanoic acid

Propanedioic acid

None of these

Hydrogen gas and iodine vapours combine to form Hl at 425°C, the same composition of mixture is present if we start with decomposition of Hl. It suggests

Choose an answer

A static equilibrium

Law of mass action

A dynamic equlibrium

Irreversible reaction

Amongst the following the compound that can be most readily sulphonated is

Choose an answer

Toluene

Benzene

Nitrobenzene

Chlorobenzene

German silver does not contain

Choose an answer

Cu

Zn

Ni

Mn