Question # 1

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a tan(ax + b) + c

- a tan(ax + b) + c

Total number of subsets that can be formed out of the set {a,b,c} is

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1

4

8

12

If n is a negative integer n! is

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1

0

Unique

Not defined

If A is a subset of B and B contains at least one element which is not an element of A, then A is said to be

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Improper subset of B

Super set of B

Proper subset of B

None of these

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z is purely imaginary

a is any complex number

z is real

None of these

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Each complex cube root of unity is square of

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itself

1

-1

the other

The proposition S(k+1) is true when ______ is true∀K∈N

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S(n)

S(k)

S(1)

S(k-1)

A triangle which is not right angle is called ______ triangle

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acute

Obtuse

Right

Oblique

If the 4th term in the expansion of (px + x^-1)^mis 2.5 for all x∈ R, then

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Given two numbers a and b. Let A denote the single A.M. between these and S denote the sum of n A.M.'s between them. Then S/A depends upon

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n, a, b

n, a

n, b

n

f(x) = 3x⁴ -2x² + 7 is:

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an even function

an odd function

an even and implicit function

neither even nor a odd

Two circles are said to be concentric if they have

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same radius

same chord

same centre

same diameter

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i³ =

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-1

i

-i

1

(a,0) x (c,0) =

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(0,ac)

(ac,0)

(0,0)

(a,c)

The solution set of x < 4 is

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-∞< x < 4

-∞> x > 4

-∞< x < 2

-∞> x > 2

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3, -3, 11

3, 3, 11

-3, 3, -11

-3, -3, 11

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Two cards are drawn at random from a well shuffled pack of cards. The probability that at least one of them is a face card is

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3 / 17

5 / 17

7 / 17

9 / 17

f(x) = 3x/x² + 1 is:

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an even function

an odd function

an even and implicit function

neither even nor a odd

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

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none of these

Ifᵨ> 1 , then the conic, is:

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Ellipse

Parabola

Hyperbola

None of these

A matrix with a single row is called a

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Column matrix

Row matrix

Null matrix

Identity matrix

Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all the four cars of the same suit is

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44/4165

22/4165

11/4165

None of these

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n!

0!

1

None of these

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

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α = 90°

β = 90°

γ = 90°

α +β +γ =180°

w¹¹= ______

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0

1

w

w²

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0

-1

1

2

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G is geometric mean between a and b if a, G, b is

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A.P.

G.P.

H.P.

None of these

The exponent of x in 10th term in the expansion of (a+x)n

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10

12

11

9

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

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π/4

4π/3

7π/4

3π/4

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 area of circle of unit radius =

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0

1

4

π

sn (2sin-10.8)

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0.56

0.69

-0.16

0.96

π is the ration of

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Area of a circle to its diameter

Area of a circle to its radius

Circumference of a circle to its diameter

Circumference of circle to its radius

If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is

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α

c

b

d

The standard form of the quadratic function f(x) = -x² +4x+2, is

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(x-2)²+6

-(x-2)² + 6

(x-3)²+5

(x+4)²-7

∫ 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

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cos x

sec x tan x

sec²x

-cosec²x

The multiplicative inverse ofx^(-1) is

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x

a-2

0

1

If five triangles are constructed having sides of the lengths indicated below, the triangle that will NOT be a right triangle is

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8, 15, 17

3, 4, 5

12, 15, 18

5, 12, 13

The graph of a quadratic function is

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Circle

Ellipse

Parabola

Hexagon

Period of sin 3x is ______

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If e,e′ be the eccentricities of two conics S=0 and S′ =0 and if e2 +e′2 =3 then both S and S′ can be

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Hyperbola

Parabolas

Ellipses

None of these

The equation of the plane which bisects the line joining (2, 3, 4) and (6, 7, 8) is

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x + y + z - 15 = 0

x - y + z - 15 = 0

x - y - z - 15 = 0

x + y + z + 15 = 0

If G is a G.M between a and b then a,G,b are in

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A.P

H.P

G.P

None of these

The unit vector along y-axis is

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none of these

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In(x²- x + 1) + c

In(2x - 1) + c

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Reflexive property

Symmetric property

Cancellations property w.r.t. addition

Transitive property

In R, the multiplicative identity is

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0

1

-1

None

The zero vector is regarded to be parallel to

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Every vector

Is some cases

Both a,b

None

tan(π-θ)=_____;

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tanθ

cotθ

-tanθ

-cotθ

The equation of the circle wit (-1, 1) and radius 2 is

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A sequence is a functions whose domain is a subset of the set of

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Natural numbers

Real numbers

Whole numbers

Rational numbers

The multiplicative inverse of 2/3 is

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3/2

-2/3

-3/2

1

Domain of tangent function is

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The parametric equations of a circle are

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2x

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

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2

-3/2

1

0

The centroid of a triangle divides each median in the ratio

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2 : 1

3 : 1

3 : 2

1 : 1

The positive real number which is the measure of the length of a vector is called the

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Unit vector

Modulus

Inverse

None of these

nCn-r is equal to

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n!

n-1Cr

nCr

None of these

There are ______ types of rational fraction

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Three

Four

Five

Two

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99th term of the series 2 + 7 + 14 + 23 + 34 + ..... is

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9998

9999

10000

None of these

i =

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Cofactor of an element aij denoted by Aij is

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(-2)i+j

Mij

(-1)i+j Mij

None of above

1⁰= ______

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1.5 rad

0.5 rad

0.175 rad

None of these

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0

1

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A = x, B = 1

A = 0, B = 2

A = -1, B = 1

A = x-1, B = x + 1

Tangent is ...............function

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Inverse

one-one

in-to

Periodic

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

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n + 1

n - 1

n

2n

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15

9

7

8

Considering Cosine Rule of any triangle ABC, possible measures of angle A includes

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Angle A is obtuse

Angle A is acute

Angle A is right-angle

All of above

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0

1

Multiplicative inverse of "1" is

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0

±1

1

{0,1}

Which of the following is factor of x11+a11, where n is an odd integer

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x-a

x+a

2x-a

2x+a

The range of the principle cos function is

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sin(π/2+θ) = _______;

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sinθ

cosθ

-sinθ

-cosθ

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2²- n - 1

1 - 2^-n

n + 2^-n-1

2ⁿ- 1

The inclination of a line parallel to y-axis is

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The only function which is both even and odd is

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f(x) =α

f(x) = x

f(x) =0

Both A & B

Domain of cosθis

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Set of odd numbers

Set of integers

Set of real numbers

Set of complex numbers

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0

1

-1

None of these

Derivative of a w.r.t x is

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0

1

x

The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called

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Constant function

Polynomial function

Identity function

Linear function

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2

6

If n is a positive integer then n! is

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(n - 1) (n - 2) .....3,.2.1

n(n - 1) (n - 2) ...3.2.1

n(n - 1 ) ( n -2) ... 3

None of these

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

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Common difference

Common ratio

Geometric series

Geometric mean

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Benzene does not undergo

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Substitution reaction

Addition reaction

Oxidation reaction

Elimination reaction

Bakelite is obtained from phenol by reacting with

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Acetaldehyde

Acetal

Formaldehyde

Chlorobenzene

Which of the following is not the reactions of lithium

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When fused PbBr₂is electrolyzed

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Bromine appears at he cathode

Lead is deposited at the cathode

Lead appears at the anode

None of these happens

Urea has concentration when prepared before prlilling:

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46%

82%

99.7%

100%

The degenerate orbitals p-sub shell are

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2

3

5

7

Acid rain is due to increase in atmospheric concentration of

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Ozone and dust

CO₂and CO

SO₃and CO

SO₂and NO₂

Most common reactions of benzene and its derivatives are

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electrophilic addition reactions

electrophilic substitution reactions

Nucleophilic addition reactions

Nucleophilic subtitution reactions

The pH of 10^-3mole dm^-3of an aqueous solution of H₂SO₄is

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3.0

2.7

2.0

1.5

The acid present in the stings of bees and wasps in

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Acetic acid

Formic acid

Formalin

Formaldehyde

Which of the following is obtained when Fe reacts with dil. HNO₃?

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N₂O

NO

NO₂

None of these

The rate equation for a reaction is Rate =k[A]. what are unit of K ?

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Mole-1 dm³ S^-1

Mole dm³ S^-1

Moledm³

S^-1

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The value of K_pfalls with a rise in temperature

The value of K_pfalls with increasing pressure

Adding V₂O₅catalyst increase the equilibrium yield of sulphur trioxide equilibrium yield of sulphur trioxide

The value of K_pis equal to K_c

DDT is

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Biodegradable pollutant

Nondegradable pollutant

Not a pollutant

An antibiotic

The process of electrical coating of one metal on another to protect, decorate or to have greater resistance to corrosion is called

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Electroplating

Electrolysis

Conduction

Induction

Alkanes are soluble in all except

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Benzene

Ether

Water

Carbon tetra chloride

Which of the following posses linear geometry

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Alkane

Alkene

Alkyne

Benzene

XeF₄has shape of

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Sphere

Trigonal bipyramidal

Tetrahedral

Square planar

A certain current liberate 0.5 g of hydrogen in 2 h. How many grams of copper can be liberated by the same time in a copper sulphate solution?

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12.7 gm

15.9 gm

31.8 gm

63.5 gm

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0.073

0.147

0.05

0.026

Electrons in degenerate orbitals are placed in separate orbitals with same spin according to

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Hund's rule

Pauli exclusion principle

Aufbau principle

Mosley's law

Which of the following correctly describes the process occurring at the electrodes when molten NaCl is electrolyzed:

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No reaction at anode, reduction at cathode.

No reaction at cathode, oxidation at anode.

Oxidation at anodes, reduction at cathode.

Oxidation at cathode, reduction at anode.

The two half cells of a galvanic cell are connected by

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Ammeter

Salt bridge

Hydrogen electrode

Copper electrode

Gooch crucible is made of:

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Brass

Porcelain

Bronze

.Gold

A combination of glucose and fructose is called:

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Sucrose

Table sugar

a and b

Lactose

Orbital having same energy is called:

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Hybrid orbital.

Valence orbital.

Degenerate orbital.

D-orbital.

Which one of the following has highest density

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Zn

Os

Ni

Cu

Glucose in the presence of zymase is converted into

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Alcohol

Acid

Ethyl alcohol

Ketone

Which of the following process is employed to convert alkyl halide into alcohol?

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Addition

Substitution

Dehydrohalogenation

Molecular rearrangement

Which teat is not given by both glucose and fructose

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Give yellow ppt of CHl₃with alkaline aqueous iodine

With 2, 4-DNPH give yellow ppt of hydrazone

Evolve H₂gas with Na metal

Oxidised with [Ag(NH₃)₂]⁺i.e. Tollen's reagent

Which of the following will affect the rate :

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First step of reaction.

Last step of reaction.

Rate determining step.

Fastest step.

Which is the used as test for the presence of alkenes

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Reaction of cold dilute alkaline KMnO₄

Combustion

Polymerization

Catalytic hydrogenation

When CO₂is made to react with ethyl magnesium iodide, followed by acid hydrolysis, the product formed is

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Propane

Propanoic acid

Propanal

Propanol

The next homologue of C₁₀H₂₂will be

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C₉H₂₀

C₁₂H₂₆

C₁₁H₂₄

C₁₃H₂₈

The coordination number of iron in [Fe(H₂O)₆]³⁺is

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2

3

4

6

Ammonia contains nitrogen in it:

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46%

50%

80%

82%

Which of the following is most electronegative?

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Carbon

Silicon

Lead

Tin

Most hazardous metal pollutant of automobile exhaust is

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Mercury

Lead

Cadmium

Copper

Which one of the following is not an example of chain growth polymer?

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Neoprene

Bunna-S

PMMA

Glyptal

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

E = hv is the

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Spectral equation

Plank's equation

de Broglie's equation

None of these

An electron has principal quantum number 3. The number of its 1 subshell and 2 orbitals would be respectively

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3 and 5

3 and 7

3 and 9

2 and 5

1.12 dm³of N₂gas at S.T.P. has mass of N₂gas

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2.8 g

2.4 g

1.4 g

14 g

The reference calomel electrode is made from which of the following?

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ZnCl₂

CuSO₄

Hg₂Cl₂

HgCl₂

A single chloride free radical can destroy bow many ozone molecules?

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100

100000

10000

10

Which of the following element's outermost orbits last electron has magnetic quantum number m=0?

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Na

O

Cl

N

Maximum number of active hydrogens are present in

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Acetic acid

Glycerol

Methane

Methanol

Clemensen's reduction of ketones is carried out in

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H₂with Pd catalyst

Glycol with KOH

LiAIH₄in water

Zn-Hg with conc. HCl

Drawback DDT as presticide is

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I becomes ineffective after some time

It is less effective than others

It is not easily/rapidly degraded in nature

Its high cost

Which is not the affect of polluted air on environment

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Acid rain

Smog

Ozone

Global warming

The heat of formation of graphite and P(white) is ______ KJ/mole

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0.00

-273.0

+8.7

813.99

Glass calorimeter reaction is one which we measure

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Enthalpy of combustion

Enthalpy of reaction

Pressure volume work

None of above

An organic compound, on treatment with Br2 in CC14 gives bromoderivative of an alkene. The compound will be

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CH3 - CH = Ch2

CH3CH = CHCH3

HC = CH

H2C = CH2

Phosphine is not obtained by the reaction when

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White P is heated with NaOH

Red P is heated with NaOH

Ca₂P₂reacts with water

PH₄l is boiled with water

Heavy water is obtained by

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Prolonged electrolysis of water

Dissolving heavy salt in water

Simple distillation of water

Removing impurities of calcium and magnesium form water

Phenol is more readily soluble in

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Dil. HCl

Both NaOH and HCl

NaOH sol

Sodium bicarbonate solution

Which of the following is a not typical transition element

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Cr

Mn

Zn

Fe

Two or more similar monomers combine to form:

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Homopolymer

Copolymer

Ter Polymer

Thermoplastic polymers

The boiling points of alcohols are higher than the corresponding alkanes, This is because

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Of hydrogen bonding existing between molecules of alcohols

Alkanes are dipolar compounds

Alcohols are sweet in taste

Alcohols are soluble in water

Select from the following the one which alcohol

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Boric acid cannot be used:

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An antiseptic in medicine

For washing eyes

In soda bottles

For enamels and glazes

The group linkage present in fats is

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Peptide linkage

Ester linkage

Glycosidic linkage

None of these

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

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1.06 x 10²

1.06 x 10³

1.06 x 10⁴

53

Which of the following charge

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Li

Be

H

He

Acetamide is prepared by:

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Heating ammonium acetate

Heating methyl cyanide

Heating ethyl acetate

The hydrolysis of methyl cyanide

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

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H₂/Ni

H₂/Pt

NaBH₄

LiAIH₄

Etherification is catalyzed by

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Acids

Gases

Salts

None of the these

Molarity of pure water is :

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33.3

55.5

44.4

66.6

Aspirin is

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Acetyl salicylic acid

Phenyl salicylic acid

Salicylic acid

Benzoic acid

Turnbull's blue is a compound called?

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Ferricyanide

Ferrous ferricyanide

Ferrous cyanide

Ferri - Ferro cyanide

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

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Increase in potential energy

Decrease in potential energy

Energy remains unchanged

Distance is increased

Which of the following compounds could be prepared by reacting bromoethane with KCN and then reducing the product

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CH₃CH₃

CH₃CH₂NH₂

CH₃CH₂CH₂NH₂

CH₃CH₂CH₃

On adding sodium nitroprusside ketones give

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Red

Wine red

White

Orange

The pH of the rain water in areas where acid rain is the cause of pollution may be

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6.5

5.6

4.5

2.2

The cell which generates electricity as a result of spontaneous oxidation-reduction reaction is called

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Electrolytic cell

Nelson's cell

Galvanic cell

Down's cell

If the difference of pKa values of the two acids is 2, then

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Acid with smaller pKa is 10 times stronger acid

Acid with greater pKa is 10 times stronger acid

Acid with smaller pKa is 100 times stronger acid

Acid with greater pKa is 100 times stronger acid

Hybridzation explain the --------- of orbitals

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Type of bonding

Shapes

Shape and type of bonding

None of above

Covalent compound s mostly exist in the form of:

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Protons

Atoms

Neutrons

Molecules

Best medhod of preparation of alkyl halide from alcohals is by its reaction with:

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HX

SOCl₂

Px₅ and PX₃

All

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

The general formula of alkyl halides is

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C_nH_2nX

C_nH_2n-1X

C_nH_2n+1X

C_nH_2n-2X

Group l-A elements react with water fastly than the reaction of group ll-A elements because

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l_Aelements are more soft then ll_A

l_Aelements are non-metals

l_Aelements have 1 electron in their outermost s-orbital and are strongly electropositive

l_Aelements make ionic bond

Which one of the following mixture shows positive deviation form Rault's law and forms an azetrope with minimum boiling point

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Methanol + CCI₄

Methanol + acetone

Ether + HCI

Acetone + chloroform

Generally ionization energy of atoms decreases by

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Decreases in atomic size

Increase in atomic size

Increase in nuclear charge

None of these

In 1000 molecules of 0.001 M acetic acid the number of H⁺ions is 12.6, then its percentage of ionization is

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1.33%

1.26%

12.6

1%

Carboxylic acids generally exists in cyclic

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Monomers

Dimers

Trimers

Tetrameter

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Cu

H

N

O

Which is used to remove air bubbles form metals?

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B

Be

Mg

Al

Reduction with aluminium isopropoxide in excess of Isopropyl alcohol is called Meerwein Ponndroff-Verley reduction (MPV). What will be the final product when cyclohex-2-enone is selectively reduces in MPV reaction?

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Cyclohexanol

Cyclohex-2-enol

Cyclohexanone

Benzene

The range of UV-B is:

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320 to 400 nm

200 to 280 nm

280 to 320 nm

50 to 400 nm

A molecular ion is formed by

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Passing a high energy electron beam through gaseous molecule

Dissolving a salt i dilute acid

Passing electric current through molten salt

Passing electricity through aqueous solutions

Internal energy of a system is equal to

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Kinetic energy of particles

Potential energy due to binding forces between particles

Sum of kinetic energy plus potential energy of the particles

Heat contents

Which of the substances Na, Hg, S Pt and graphite can be used as electrodes in electrolytic cells having aqueous solution?

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Na, Pt and graphite

Na and Hg

Pt and graphite only

Na and S only

Ethyl bromide on treatment with alcoholic KOH gives

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Ethylene

Ethanol

Acetic Acid

Ethane

The statement that the properties of every eight elements are similar to the first is the law of

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Dobereiner

Newland

Mendeleev

L. Meyer

Which is the derived lipid?

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Common fats

Vitamin-D

Common oils

Spinolipids

The example of a photo chemical reaction is photosynthesis has order of reaction :

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1

2

0

3

Orbitals having same energy are called

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Hybrid orbitals

Valence orbitals

Degenerate orbitals

D-orbitals

Which statement about molecule is incorrect ?

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Molecules of a substance are similar

Hemoglobin is a homo atomic molecules

Oxygen molecule is a macro molecule

It exist independently

Which one is a nitrogen fertilizer

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Urea

Calcium sulphate

Potassium phospahte

Magnesium carbonate

A reaction in which an atom or a group of atoms replaces an atom or a group of atoms in the molecule of a substance is known as

Choose an answer

Addition reaction

Condensation reaction

Elimination reaction

Substitution reaction