Question # 1

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none of these

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Free vector

Null vector

Unit vector

None of these

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k3

0

3k

k6

The distance of the plane 2x - 3y + 6z + 14 = 0 from the origin is

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14

2

-2

11

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

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Cos 5/13

Tan^-1 5/12

cos^-15/12

2 cos^-14/5

A relation in which the equality is true for all values of the unknown is called ______

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An identity

An equation

A polynomial

None of these

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none of these

If f(x) = ax², and a>0, then the lowest point on the parabola is called.

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Vertex of parabola

Co-ordinates of parabola

Roots of the equation

Coefficient of the equation

Only one of the root of ax2 + bx + c =0, a≠ 0 is zero if

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c = 0

c = 0,b≠ 0

b = 0,c = 0

b = 0,c≠ 0

If A and B are two matrices such that AB = B and BA =A, then A²+ B²=

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2 AB

2 BA

A + B

AB

Choose an answer

2.333....is a

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Irrational no

Complex no

Rational no

None of these

A conjunction of two statement p and q is true only if

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p is true

q is true

Both p and q are true

both p and q are false

√(-1b) =?

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b i

-i b

b2

i√b

A non-homogeneous linear system AX = B has no solution if

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|A| = 0

|A|≠ 0

Rank (a) = no of variables

Rank > no of variables

The real number system contains.

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Positive Numbers

Negative numbers

Zero

(option a, b and c)

The sum of coefficients in the binomial expansion equals to

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2

2ⁿ⁺¹

2^n-1

2ⁿ

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There are 25 tickets bearing number from 1 to 25. One ticket is drawn at random. The probability that the number on it is a multiple of 5 or 6 is

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7 / 25

9 / 25

11 / 25

None of these

There are n seats round a table numbered 1, 2, 3 .... n. The number of ways in which m person can take seats is

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ⁿP_m

ⁿC_mx (m - 1) !

^n-1P_m

None of these

Every natural number is

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A prime number

An irrational number

An integer

An even number

Choose an answer

real number

complex number

rational number

irrational number

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How many 6-Digit number can be formed without repairing any digit from the digits 0,1,2,3,4,5

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720

600

120

6-5!

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sin (α -β)=

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sinαcosβ- cosαsinβ

sinαcosβ+ cosαsinβ

sinαcosα- cosβsinβ

The value of sin [ arc cos (-1/2)] is

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if the value of the sphere, v =4/3πr²^, then the which of the following statement is true?

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r is the function of v

v is the function ofπ

π is independent variable

None of these

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The maximum value of 12 sinθ-9 sin²θis x

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3

4

5

None of these

3x + 4 < 0 is

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not inequality

equation

identity

inequality

The central angle of an arc of a circle whose length is equal to the radius of the circle is called one

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Degree

Second

Minute

Radian

The symbol of irrational is

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W

N

Q

Q'

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n!

0!

1

None of these

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0

-1

1

2

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Sin 45° = ______

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If the function y=2x -3, what is the preimage of 11?

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11

7

5

2

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x^-2+ c

not possible

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(x3-1/x)12

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295

495

395

722

Every real number is

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a positive integer

a rational number

a negative integer

a complex number

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Singleton set

A set with two points

Empty set

None of these

The term independent of x is the expansion (x³+1/x)¹²

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295

495

395

722

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The value of n, when ⁿP₂= 20 is

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3

4

6

5

The vertices of the ellipse x²+ 4y²= 16 are

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The polynomial x - a is a factor of the polynomial f(x) if and only if

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f(a) is positive

f(a) is negative

f(a) = 0

None of these

120° degrees are equal to how many radians?

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tan270° =__________;

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0

1

-1

Undefined

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cos x

sec x tan x

sec²x

-cosec²x

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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

If there is one-one correspondence between A and B, then we write.

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A = B

A⊆ B

A⊇ B

A ∼ B

If one root of the equation ix²- 2(i + 1) x +(2 - i) = 0 is 2 - i, then the other root is

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-i

2 + i

i

2 - i

The distance of the point (-2 , -3) from x-axis is

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2

-3

3

5

In (x +iy) y is called as

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Imaginary part

Complex number

Real part

None of above

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a f(x) + c

f(x) + a

Choose an answer

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

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

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b

-b

-a

(a - b)²

The point _________ is in the solution of the inequality 2x + 3y < 5

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(1,1)

(2,2)

(0,1)

(0,2)

Choose an answer

1

12

5

29

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

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dependent variable

independent variable

constant

none of these

cos(a +β)-cos(a-β) = _______;

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2cosa cosβ

2sina cosβ

-25 in a cosβ

-2sin a sinβ

Let A and B be two sets. If every element of A is also an element of B then

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The principal value of sin^-1(-1/2)

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π/3

π/4

π/6

-π/6

The number of ways of arranging the letter AAAAA BBB CCC D EE F in a row when no two C's are together is

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Improper rational fraction

Proper rational fraction

Polynomial

Equation

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

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T = (First six natural numbers)

T = (First six odd numbers)

T = (First six real numbers)

T = ( First six even numbers)

If x³- x²+ 5x+ 4 is divided by x - 2, then the reminder is

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0

2

18

14

The law of cosines reduces to a2 +c2 =b2 for

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α = 90°

β = 90°

γ = 90°

α +β +γ =180°

n different objects can be arranged taken all at a time in ______

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(n + 1)! ways

(n - 1)! ways

n! ways

n ways

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The set {-1, 1} is closed under the binary operation of

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Addition

Multiplication

Subtraction

Division

∫ x cos dx is equal to :

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x cos x + sin x

cos x + x sin x

x cos x + x sin x

x sin x + cos x

The tangents drawn from the point P to a circle are real and distinct if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

If in a set of real no a is multiplicative identity then

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a,a = a²

a,a = 1

a,a = 0

None of these

i⁹ =

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i²

-1

1

i

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-a -b -c

1

0

-1

If G is the centroid of the triangle, then GA +GB+GC=

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0

1

-1

3

Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then

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A = B

B = C

A≠ C

A ≠ B

Choose an answer

The area between the x-axis and the curve y = x² + 1 from x = 1 to 2 is:

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15/6

15/4

10/4

10/3

Root of the equation 3^x-1+ 3^1-x= is

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2

1

0

-1

If A is a non singular matrix then A^-1= ______

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tan 3x + c

cot 3x + c

- cot 3x + c

θ and 2kπ+θ are the ________ angles

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Quadrantal angles

Coterminal

Allied

None

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In(x²- x + 1) + c

In(2x - 1) + c

Choose an answer

1

-i

i

0

∀x∈(a,b),f(x) is increasing if

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f′(x) >0

f′(x) <0

f′′(x) >0

f′′(x) =0

Choose an answer

The real numbers which satisfy an inequality form its

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solution

coefficient

domain

range

The first three terms in the expansion of (1 + x)³are

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1 + 3x +6x²

1- 3x + 6x²\

-3 -3x -6x²

1- 3x -6x²

The set of rational number is represented by

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W

R

Q'

Q

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

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A.P.

G.P.

H.P.

None of these

If a₁, r are first term and the common ratio respectively then the sum of an infinite geometric series is

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Grignard reagent is not prepared in aqueous medium but prepared in ether medium because

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The reagent is highly reactive in ether

The reagent does not react with water

The reagent becomes inactive in water

The reagent reacts with water

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Electronphilic substitution

Electrophilic addition

Free radical substitution

Nuclephilic substitution

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

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Molarity

Mole fraction of solvent

Mole fraction of solute.

The art of electroplating was given by

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Faraday

Edison

Thomas Gradam

Brugan

Which of the following molecules have sp³hybridized carbon

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CH₄

C₂H₄

C₂H₂

CO₂

Which of the following solution have zero pH

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1 M HCI

MH₂SO₄

0.1 M HNO₃

1 M CH₃COOH

Misch mental is

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An alloy of Aluminium

A mixture of chromium and lead chromate

An alloy of lanthanoid metals

An alloy of copper

Steel may be manufacture by two processes which two are correct

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Open hearth process and besemer process

Open hearth process and Haber process

Bassemer process and Haber process

Contact process and Haber process

pH of 1 molar NaOH is

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7

zero

14

10

Choose the correct answer of transition elements?

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Transition elements have low melting points

Transition elements do not have catalytic activity

Transition elements exhibit variable oxidation states

Transition elements exhibit inert pair effect

Time required to deposit one millimole of aluminium metal by the passage of 9.65 amperes through molten electrolyte containing aluminium ion is

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30 s

10 s

30,000 s

10,000 s

Which of the following is a polyamide?

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Nylon

Orlon

Teflon

Terylene

A zero order reaction is one in which :

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Rate is not affected by changing concentration of reactants.

concentration of reactants do not change with the passage of time.

Reactants do not react.

One reactants in large excess.

Which of the following may affect the rate constant (k) fro a reaction :

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Change in concentration.

Change in pressure.

Change in pH.

Change in temperature.

Both E₁and E₂mechanism can be shown by

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1° - RX

2° - RX

3° - RX

None of these

The sample being analyzed is called :

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Electrolyte.

Substance.

Analyte.

All of above.

The catalyst,. which is used as specialist for cracking, are

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Aluminates

Alumlnosilicates

Aluminium slats

All can be used

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Adding 2(ii) + 3(iii) and subtracting i

Add i + ii + iii

Add i - ii + iii

Add i - ii - iii

Tincal is a mineral of:

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Al

B

Si

C

Which of the following fertilizers is useful for paddy rice

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Ammonium nitrate

Ammonium sulphate

Urea

Ammonium chloride

The isotopes of an element

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Possess same mass number

Possess same number of protons

Do not possess same chemical properties

May or may not possess same chemical properties

A solution of glucose is of methanol in water has vapor pressure :

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Equal that of water.

Equal to that of methanol.

More than that of water.

Less than that f water.

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

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07

17

27

37

What happens when isotonic solution of A (mol.wt.342) and B (mol.wt 60) are put in to communication through semipermeable membrane?

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Transference of solvent from solution A to that of B take place

Transference of solvent from solution B to that of A takes place

No transference of solvent from solution A to that of B takes place

Change in temperature of solutions takes place

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

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Ag⁺ and NO_3- only

Ag⁺ and Ba² and NO^-3

Ba² and NO^-3

Ba² and NO^-3and Cl-

Compared to a 1.0M aqueous solution of calcium chloride will have

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The same freezing and boiling point

A lower freezing point and lower boiling point

A lower freezing point and higher boiling point

A higher freezing point and higher boiling point

Property of transition element is :

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Low m.p and b.p

Parramagnetism

Oxidation state

Low binding energies

Choose an answer

Excitantion of an electron from 2s to 2p-orbital

Transfer of three electrons from B to the other atoms

Excitation of two electrons form 2s orbital to 2p orbital

Formation of molecular ion

Commercial common salt becomes slight damp on storing because

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Common salt is hygroscope

Common salt contains some impurity, which is hygroscopic

Salt in efflorescent

Salt is crystalline

Composition of clay in cement is:

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25%

50%

75%

80%

Alkyl halides on treatment with aqueous KOH give

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Phenol

Alcohol

Aldehyde

Ketone

Which of the following compound is obtained on passing ethanol vapours on heated Al₂O₃?

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Ethylether

Acetone

Ethane

Ethanol

The radius of ion while considering it to be spherical in shape is called:

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Covalent radii.

Atomic radii.

Ionic radii.

Both (a) and (C).

Choose an answer

CnH_2nis the general formula of

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Alkanes

alkynes

None of above

Transition elements have valence electrons in

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s-orbital

p-orbital

d-orbital

f-orbital

Which is not a colligative property?

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Osmotic pressure

Lowering of vapour pressure

Depression of freezing point

Elevation of boiling point

Copolymer is

Choose an answer

Nylon-6

Nylon 66

PMMA

Polyethene

Selection of filter paper depends upon sizes of particles to be:

Choose an answer

Tested

^Filtered

Checked

All of above

Isopropyl alcohol on oxidation gives

Choose an answer

Acetone

Ether

Ethylene

Acetaldehyde

Major food factors are:

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Fats and oils

Carbohydrates

Protiens

All of these

The arrangement of subshells in the ascending order of their energy on complete filing of 4f subshell the entering electrons goes to

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5s

5p

5d

5f

The state of equilibrium refers to

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State of rest

Dynamic state

Stationary state

State of inertness

What is the formula of asbestos?

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CaMg₃(SiO₃)₄

CaSiO₃

Na₂SiO₃

Mg₃H₂(SiO₃)₄

Fluted filter paper is used to:

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Decrease rate of filtration

Increase rate of filtration

Maintain rate of filtration

None of above

Baking powder has which one of the following formula

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Na₂CO₃

Na₂SO₄

NaHCO₃

K₂CO₃

The specific conductance of 0.1 M NaCl solution is 1.06 x 10^-2ohm^-1mol^-1. Its molar conductance in ohm^-1cm²mol^-1is

Choose an answer

1.06 x 10²

1.06 x 10³

1.06 x 10⁴

53

Which gas is used for welding purposes

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Butane

Nitrogen

Methane

Acetylene

The measurement of degree of disorder is

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Internal energy

Enthalpy

Entropy

None

Which of the following phosphorus is most reactive?

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Red phosphorus

White phosphorus

Scrlet phosphorus

Violet phosphorous

The compounds or species in search of electrons are called

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Elctrophiles

Nucleophile

Nitrities

Bases

Catenation is a process in which carbon shows the properties of making

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Multiple bonds

Hybridization

Long chains or rings of carbon atom

Showing isomerism

Preparation of vegetable ghee involves

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Halogenations

Hydrogenations

Hydroxylation

Dehydrogenations

When electric current is used to carry out non-spontaneous redox, the process is called

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Hydrolysis

Electrolysis

Decomposition

Neutralization

The standard e.m.f. of a galvanic cell involving cell reaction with n = 2 is found to be 0.2965 V at 25°C. The equilibrium constant of the reaction would be

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1.0 x 10¹⁰

2.0 x 10¹¹

4.0 x 10¹²

1.0 x 10²

The substance having highest conductivity at room temperature among the following is

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0.1 N HCl

0.1 N NaCl

Graphite

Glass

Which of the following is directly related with entropy

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Pressure

Degree of freedom

Temperature

Both b and c

When sodium benzoate is treated with soda lime (NaOH) benzene is formed. What is the other product

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Na₂CO₃

NaHCO₃

Ca(OH)₂

CaCO₃

B-B'-dichloroethyl sulphide is commonly known as

Choose an answer

Mustard gas

Laughing gas

Phosgene gas

Bio gas

The example of colligative property is

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Boiling point

Osmosis

Freezing point

Osmotic pressure

The depression of freezing point is directly proportional to

Choose an answer

Mole fraction of the solution

Molarity of the solution

Molality of the solution

Molarity of the solvent

A solution containing maximum amount of solute dissolved at a given temperature is called

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Saturated solution

Unsaturated solution

Supersaturated solution

Impure solution

Grignard reagent on reaction with a ketone forms

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Tertiary alcohol

Secondary alcohol

Primary alcohol

Carboxylic acid

An artificial smell of banana is produced in many articles y using esters which of the following is that

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Amyl acetate

Isoamyl valerate

Octyl acetate

Methyl butyrate

An organic compound will decolorise dill acidified (aq) KMnO₄on warming, but will not decolorise bromine water. What is the compound

Choose an answer

KMnO₄

Ethanol

Ethane

CH₃CH₂Cl

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

The amount of Ni in stainless steel is

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3%

4%

5%

8%

The substance upon which an enzyme acts is known as its

Choose an answer

Domain

Field

Substrate

Reactant

Shielding effect intervening electrons causes

Choose an answer

Decreases in atomic radii in a period from right to left

Increase in atomic radii in a period from left to righ t

Decrease in atomic radii down the group

Increase in atomic radii down the group

Which statement is incorrect for and ideal solution

Choose an answer

The forces of attractions between solute and solvent molecules are same

There is no evolution or absorption of heat

Volume of the solution is less than sum of volumes of individual components

Vapour pressure of solution is directly proportional to the mole fraction of solvent

If the radius of first Bohr orbit be a_o, then the radius of third Bohr orbit would be

Choose an answer

3 x a_o

6 x a_o

9 x a_o

1/2 x a_o

Which of these polymers is an addition polymer?

Choose an answer

Nylon-6,6

Polystyrene

Terylene

Epoxy resin

Which of the following is an electrophile

Choose an answer

Bromine

KBr

NH₃

Benzene

Propyne on hydrolysis in presence of H₂SO₄and HgSO₄gives

Choose an answer

Acetaldehyde

Acetone

Formaldehyde

None

A catalyst is a substance which increase the rate of a chemical reaction, but remains unchanged at the end of reaction, nut remains unchanged at the end of reaction, because

Choose an answer

It increases the temperature

It increase the surface area

It increases the rate constant

It decrease the energy energy of activation

The word paper is derived from the name of which reedy plany

Choose an answer

Rose

Sun flower

Papyrus

Water hyacinth

Which of these polymers is an addition polymer?

Choose an answer

Nylon-6,6

Polystrene

Terylene

Epoxy resin

The color of Cr³⁺ion is

Choose an answer

Violet

Blue

Pink

Green

For every reaction occurring in the body three is at least one type of

Choose an answer

Enzyme

Vitamin

Protein

Amino acid

Heat absorbed or released during the chemical reaction of physical process at constant pressure is equal to

Choose an answer

A compound R has all of the following properties. It is neutral; It gives an orange precipitate with 2,4-dinitrophenythydrazine; it evolves hydrogen chloride when treated with PCI₅in the cold What could R be

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Which the increase in carbon number of solubility of an alcohol

Choose an answer

Increases

Decreases

Remains unaffected

None of these

Which of the following does not give iodoform test?

Choose an answer

Ethanol

Ethanal

Acetophenone

Bezophenone

Molecular orbitals are filled with the available:

Choose an answer

Hund's of rule.

Pauli's exclusion principle.

Aufbau principle.

All of above.

Which one of the following step is not involved in determination of empirical formula

Choose an answer

Determination % of each element

Determination of gram atom of each element

Determination of isotopes of each element

Determination of atomic ratio of element

When the electron jumps form third, fourth, fifth orbits to the second orbit, the transitions are known as

Choose an answer

Paschen

Pfund

Balmer

Brackett

The number of unpaired electrons in ferrous ion ( Z - 26) is

Choose an answer

3

2

4

5

Rutherford's model of atom failed because:

Choose an answer

The atom did o have a nucleus and electrons

It did not account fro the attraction b/w protons and neutrons

It did no account for the stability of the atom.

There is actually no space b/w the nucleus ad the electrons.

Acetic acid is manufactured by:

Choose an answer

Distillation

Fermentation

Ozonolysis

Esterification

Eletronegativity difference in C-C bond in alkanes is:

Choose an answer

Zero

Double

Half

4.0

Isotonic solutions have same

Choose an answer

Molar concentration

Molality

Normality

None of these

Precipitation will occur until the ionic product becomes

Choose an answer

Equal to K_sp

Lesser than K_sp

Greater than K_sp

None of these

An alkynes having Carbon count of 20 is

Choose an answer

gas

liquid

Solid

None

If a large number of amino acids (hundreds to thousands) are joined by peptide bonds, the resulting product is called

Choose an answer

Dipeptide

Tripeptide

Polypeptide

None of these

The valence orbital configuration of an element with atomic number 23 is

Choose an answer

3d⁵

3d³, 4s²

3d³, 4s¹, 4p¹

3d²,4s²,4p¹

Ifα us the degree of dissociation of Na₂SO₄the vant Hoff's factor (1) used for calculating the molecular mass is

Choose an answer

1 +α

1 -α

1 + 2α

1 - 2α

Sodium chloride imparts a yellow colour to the Bunsen flame. This can be interpreted due to the

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low ionization energy of sodium

sublimation of metallic sodium to give yellow vapour

emission of excess energy absorbed as a radiation in the visible region as a radiation in the visible region

photosenitivity

Wohler succeeded in obtaining, urea from

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Cyanogen

Ammonium cyanate

Ammonium hydroxide

None of these

The elements like boron, chlorine, cobalt, copper etc are added in small amounts to the soil. They are called

Choose an answer

Macrountrients

Trace elemetns

Micronutrients

Additives

The colour of transition metal complexes is due to

Choose an answer

d-d transitions of electrons

Para magnetic nature of transition elements

Ionization

Loss of s-electrons

When chlorofluoro carbon are subjected to U.V. they form

Choose an answer

Cations

Anions

Free radicals

None of these

The radius of second Bohr's orbit is

Choose an answer

0.053 nm

0.053/4 nm

0.053 x 4 nm

0.053 x 20 nm

Which one of the following is a water soluble vitamin?

Choose an answer

Naacin

Riboflavin

Trypsin

Ascorbic acid

Chlorofluorocarbon, CF₂CI₂, plays an effective role in removing O₃(ozone) in the stratosphere. Which reaction does not cause the depletion of ozone