Question # 1

If s = 2t³- 3t²+ 15t - 8 is the equation of motion of a particle, then its initial velocity is

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8

15

-6

None

A triangle has six

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side

elements

angle

tangents

If (2,0) is the vertex and y-axis is directrix of parabola then focus is

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(2,0)

(-2,0)

(4,0)

(-4,0)

If a₁, r and a_nare the first term, common ratio and the nth term respectively of a G. P. then a_n=

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a₁rⁿ

a₁r^n-1

a₁rⁿ⁺¹

a₁r

Domain of cos x is ______

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3.5+5.4=5.4+3.5 =8.9 this property of addition is called

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additive identity

assoclative property

commulative property

closure property

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IfΔABC is right, law of cosine reduce to

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Law of sine

Law of tangent

Phthogorous theorem

Hero's formula

p(x) = 2x⁴- 3x³+ 2x - 1 is polynomial of degree

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1

2

3

4

No term of a harmonic sequence can be

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0

1

2

3

The domain of the principal tan function is

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A box containing 10 mangoes out of which 4 are rotter. Two mangoes are taken together from the box. If one of them is found to be good, the probability that the other is also good is

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1 / 3

8 / 15

5 / 13

5 / 9

Additive inverse of -a -b is

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a

-a + b

a - b

a + b

The square root of every incomplete square is an

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Rational numbers

Even numbers

odd numbers

Irrational numbers

Which of the following statement is true?

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A set is a collection of non-empty object

A set is a collection of only numbers

a set is any collection of things

a set is well-defined collection of objects

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

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a = -5 , b = -3

a = 5 , b =3

a = -5 , b = 3

a = 5 , b = -3

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cosec x + c

-cosec x + c

-sec x + c

sec x + c

If a particle moves according to the law s = t³- t², then its velocity at time t = 1.5 is

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9/2

15/4

5

None

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graph of sine function is bounded between lines

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y± 1 = 0

x± 1 = 0

x± y - 0

None of these

The√ is used for the

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Positive square root

Negative square root

+ve and -ve square root

Whole number

Out of 10, 000 families with 4 children each, the number of families all of whose children are daughters is

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375

500

625

150

Let P(x₁, y₁) and Q(x₂, y₂) be two points in the co-ordinate plane. Let d = distance between P and Q

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The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is

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120

100

140

160

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none of these

If Z₁= 1 + i, Z₂= 2+3i, then |Z₁- Z₂| = ?

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2

-3/2

1

0

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4A - 3I

3A - 4I

A - I

None of these

With usual notations b2 = a2 + c2 -2ac cos is called______;

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Law of sines

Law of consines

Law of tangents

None of these

When the angle between the ground and the sun is 30^𝜊,flag pole costss a shadow of 40 mg long. the height of the top of the flag is

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25m

23m

12m

29m

The coefficient of xn in the expansion of (1-x)-1 is

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(-1)n2n

1

(-1)n(n+1)

(n+1)

If A is any matrix then its additive inverse is

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A

A^-1

A^t

-A

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There are ______ basic techniques for solving a quadratic equation

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Two

Three

Four

None of these

The sum of n terms of a series is denoted by

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d

n

S_n

a_n

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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

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images

pre-images

constants

none of these

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Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is

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k = 9

k = ±9

k=-9

k=11

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2^x

2^xIn x

2^xIn 2

The domain of f(x) = log x is

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[0,∞]

(0,∞)

[0,∞[

[∞,∞]

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0

2

4/3

5/3

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H.M. between 3 and 7 is

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When rational fraction is separated into partial fractions, the result is

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an identity

A fraction

A partial sum

Improper fraction

Two coins are tossed twice each. The probability that the head appears on the first toss and the same forces appear in the two tosses is

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1/4

1/2

1/3

1/7

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0

1

-1

2

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0

U

u/2

log u

Cos (cos4π/3)=

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π/2

π/3

2π/3

-π/3

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Rational

Irrational

Even

Odd

The expansion of (1 - 3x)^-1is valid if

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| x | < 1

| x | < 3

| x | < 1/3

None of these

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Principle of equality of fractions

Rule for product of fractions

Golden rule for fractions

Rule for quotient of fractions

If θ be angle between u,v and u,v determine the sides of a triangle then the third side opposite to angle θ has length

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|u+v|

|u|+|v|

|u-v|

|u|-|v|

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Rational

Irrational

Non-real

Zero

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0

1

-1

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A matrix with a single row is called a

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Column matrix

Row matrix

Null matrix

Identity matrix

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

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G.P

H.P.

A.P.

No particular sequence

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A function f(x) is said to be the periodic function if for all x in the domain of f, there exists a smallest positive number p such the f(x + p) = ______

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f(p)

f(x)

f(o)

None of these

The first three terms in the expansion of (1 + x)^-2are ______

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1 - 2x + 3x²

1 - 2x - 3x²

1 + 2x + 3x²

-2 -2x + 3x²

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The process of finding the unknown elements in triangle is called the

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solution of the triangle

Mean differnece

Engineering distance

angle of depressin

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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

(A∩Bc)c= -------------------------

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Ac∪Bc

Ac∪B

Ac∩B

None of these

{0} is a

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Empty set

Singleton set

Zero set

Null Set

The point ________ is in the solution of the inequality 4x - 3y < 2

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(0,1)

(2,1)

(2,2)

(3,3)

The function {f(x,y)|y = ax2 +bx +c} is

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One-one function

Constant function

Onto function

Quadratic function

Zero is

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An irrational number

A rational number

A negative integer

A positive number

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1

-1

0

I

The direction cosines of y-axis are

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1, 0, 0

0, 1, 0

0, 0, 1

1, 1, 1

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2

-2

none of these

The angle of elevation of the top of a tree from a point 17 meters from is foot is 42^𝜊The height of the tree is

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12m

21m

17m

15m

√-1 b=

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b

2

2b

None of these

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A onto B

both a & c

A into B

none of these

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A quadrilateral whose diagonals are perpendicular bisector of each other is

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Square

Rectangle

Rhombus

Parallelogram

Trapezium

The 60th part of one minute is called

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Degree

Second

Radiam

None of these

Period of Cotangent function is

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π

-π

0

-2π

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Cos 60° = ______

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1

2

1/2

3

The slope of the normal at the point (at², 2at) of the parabola y²= 4ax is

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1/t

t

-t

-1/t

Cot 45° = ______

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1/3 is ______

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A prime number

An integer

A rational number

An irrational number

Which of the following sets is finite

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The set of natural numbers between 3 and 10

The set of rational numbers between 3 and 10

The set of real numbers between 0 and 1

The set of rational numbers between 0 and 1

A line joining two distinct points on a parabola is called a ______ of the parabola.

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Chord

Tangent

Lust rectum

directrix

A sequence is a function whose domain is

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N

Subset of N

R

None of these

{x|x∈R∧x≠x} is a

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Infinite set

Null set

Finite set

None of these

The standard parabolic form of the equation f(x) = x² +4 x +1 is

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x(x+4)+1

(x+2)²-3

(x+4)³ + 9

x(x-2)²+1

The square matrix A is skew-symmetric when At=

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-B

-C

-A

-D

a chord passing through the focus of a parabola is called a:

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Focal chord

Latus rectum

Tangent

Directrix

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

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2ⁿ

2²ⁿ

2 . n

n²

Transition elements have valence electrons in

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s-orbital

p-orbital

d-orbital

f-orbital

UV radiations bring about

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Skin cancer

Mouth cancer

Lung cancer

Liver cancer

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

Size of an anion is increased as compared to its atom because of the

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Addition of new shell

Repulsion of electrons in the valence shell

Decrease in nuclear charge

Increase in the unclear charge

The solubility product of Ca(OH)₂is 6.5 x 10^-6. The concentration of OH^-ions is

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1.175 x 10^-2

2.35 x 10^-2

3.25 x 10^-3

3.25 x 10^-4

Rutherford's experiment led to the discovery of

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Nucleus

Electron

Proton

alpha particle

β-D-glucose is a monomer for

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Strach

Cellulose

Glycogen

Protein

The next homologue of C₁₀H₂₂will be

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C₉H₂₀

C₁₂H₂₆

C₁₁H₂₄

C₁₃H₂₈

During oxidation in k₂Cr₂O_{7, Cr VI changes to :}

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I

II

III

IV

Coal heated in the absence of air of about 500 - 1000°C is converted to

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Coke

Coal gas

Coal tar

All above

Terylen fibre is made by reaction of terephthalic acid with

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Ethylene

Ethylene glycol

Glycol

Terylene

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

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A static equilibrium

Law of mass action

A dynamic equlibrium

Irreversible reaction

Specific conductivity of a solution

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Increases with dilution

Decreases with dilution

Remains unchanged with dilution

Depends on mass of electrolyte

Taste of lower alcohols is:

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Sweet

Bitter

Our

Salty

One mole of ethanol and one mole of ethane have an equal

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Mass

Number of atoms

Number of electrons

Number of molecules

Which of the following represents elements in order of increasing atomic size?

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I, Br, Cl

Na, Mg, C

C, N, O

Li, Na, K

A carboxylic acid with one caboxyl group:

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Monocarboxylic acid

Dicarboxylic acid

Tricarboxylic acid

Polycarboxylic acid

On heating glycerol with conc. Sulphuric acid a compound with unpleasant odour is obtained. The compound is

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Methyl alcohol

Formic acid

Prop-2-enal

Glycerol sulphate

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High temperature and low pressure

Low temperature and high pressure

Low temperature and low pressure

High temperature and high pressure

The filtration process is used to to separate solid from :

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Liquid.

Gas.

Solid.

All of above.

The solubility of KCIO₃salt in water is decreased by adding

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NaCIO₃

NaCI

KCIO₄

KCI

To get DDT, chlorobenzene has to react with one of the following compound in the presence of conc.H₂SO₄

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Trichloroethane

Dichloroacetone

Dichloroacetaldehyde

Trichloroacetealdehyde

Titanium is used as a catalyst in

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Hydrogenation

Dehydrogenation

Polymerization of P.E.

Oxidation of ammonia

Monosaccharides are

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Aldoses

Ketoses

Either a and b

None of these

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0.02

0.2

50

25

The use of tetra ethyl lead in petrol as an efficient antiknock agent is being discouraged. Which reason is correct

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It is costly

It damages the engine

Pb is difficult to obtain in bulk quantities

The combustion product, lead, causes air pollutions

Methanol is prepared from CO and H_{2 using catalyst:}

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ZnO

Cr₂O₃

Pt

Ni

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

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Bond length

Bond strength

Bond energy

None of these

Series starting from57La,42Hf -80Hg is in the period:

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4th

5th

6th

7th

Rearrangement of an oxime to an amide in the presence of strong acid is called

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Curtius rearrangement

Fries rearrangement

Beckman rearrangement

Aldol condensation

Which of these polymers is an addition polymer

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Nylon 6,6

Polystyrene

Terylene

Epoxy resin

The substance which contains the water of crystallization is called

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Hydrated

Solvated

Crystal

None

Which of the following reacts with chloroform and base to form phenyl isocynaide?

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Nitrobenzene

Phenol

Chlorobenzene

Aniline

In endothermic reaction, the heat content of the

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Products is more than that of reactants

Reactants is more than that of products

Both a and b

None of the above

Which is not nitrogeneous fertilizers?

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(NH₄)₂HPO₄

NH₄NO₃

Urea

Calcium phosphate

Water which his considered to be safe for human consumption is known as

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Distilled water

Contaminated water

Potable water

Rain water

Acetylene when treated with 10% H₂SO₄in the presence of HgSO₄adds one molecule of water to form

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Aldehydes

Esters

Alcohols

Acids

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Forward reaction is favoured

Backward reaction is favoured

No effect

None of the above

Which of the following has zero depole-moment?

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CIF

PCl₃

SiF₄

CFCl₄

The electronegativity of elements in a period from left to right

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Decreases

Increases

First decreases then increases

First increases then decreases

Cracking products are :

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Only alkanes

Only alkenes

Alkanes and alkenes

Alkynes

Components of environment are:

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Atmosphere

Hydrosphere

Lithosphere

All of these

In alkynes the bonds between carbon atoms are

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All sigma bonds

All pi(π) bonds

One is sigma and two areπ(pi) bonds

One isπ(pi) and two are sigma bonds

Turnbull's blue is a compound called?

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Ferricyanide

Ferrous ferricyanide

Ferrous cyanide

Ferri - Ferro cyanide

Ricket is caused due to the deficiency of vitamin

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A

D

B

E

With the progressive of the reaction the slope of the curve between concentration of product and time

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Gradually becomes more steep

Gradually becomes less steep

No change occurs in slope

None of these occurs

10% aqueous solution of NaCI has molarity

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1.7 M

2.7 M

0.17 M

3.7 M

The most acidic of the following compounds is

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P₂O₃

Sb₂O₃

B₂O₃

As₂O₃

Acetone is prepared by

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Oxidation of n-propyl alcohol

Oxidation of acetaldehyde

Pyrolysis of calcium acetate

Pyrolysis of calcium acetate as well as acetic acid

Hydrochloric acid available in the laboratory is 36% w/w. The density of HCl solution is 1.19 g cm^-3. The molarity of HCl solution is

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10.23 moles dm^-3

11.55 moles dm^-3

11.73 moles dm^-3

12.67 moles dm^-3

Some of the elements of a period show similar behavior with the elements of next group in next period this is called

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Vertical relationship

Oblique relationship

Diagonal relationship

None

Cuprous ore among the following is

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Chalcopyites

Azurite

Cuprite

Malachitre

Which of the following geometry is associated with the compound in which the central atom assumes sp³d hybridization?

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Planar

Pyramidal

Angular

Trigonal bipyramidal

A fat or oil is characterised for extent of unsaturation by one of the following number, which one

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Rancidity number

Acid number

Iodine number

Saponicfication number

The organic compound, alcohols are much closer to, in structure and hence is also called its derivative:

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Water

Oxidizes of lithium oxides

Oxidizes of magnesium

Oxidizes of aluminium

Mark the correct statement

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Na⁺is smaller than Na atom

Na⁺is larger than Na atom

Cl^-is the smaller than Cl atom

Cl^-(ion) and Cl (atom) are equal in size

The heat contents of all the elements in their standard states are taken to be

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1

2

0

None

In endothermic reactions, the heat content of the

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Products is more than that of reactants

Reactants is more than that of products

Both a and b

None of the above

1 erg of energy corresponds to

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6.02 x 10²³J/mol

6.02 x 10¹⁶J/mol

1 erg/mol

10^-7J/mol

Formula of acetone is:

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HCHO

CH₃CHO

CH₃OCH₃

CH₃OC₂H₅

DDT is formed from

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Benzene and Chlorobenzene

Chloral and Chlorobenzene

Chloral and Benzene

Chlorobenzene and chlorine

Whenever a week base is dissolved in water, it give its conjugate acid. similarly a weak acid in water produces its conjugate base. This conjugate acid-base pair concept is stated by

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Law of mass action

Le-charlier's principle

Common ion effect

Lowery Bronsted concept

On alkali and alkaline earth metals down the group, there is decreasing trend in

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m.p.

b.p.

Ionization potentiall

All of these

Which of the following is non-typical transition element?

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Cr

Mn

Zn

Fe

Which of the following is not correct about transition metals?

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Their melting and boiling points are high

Their compounds are generally coloured

They can form ionic or covalent compounds

They do not exhibit variable valency

HNO₂acts as an/a

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Acid

Oxidizing agent

Reducing agent

All the three

Analytical chemistry is the science of

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Chemical characterization

Physical characterization

Biological characterization

Biochemical characterization

Alkyle halides can be prepared by treating halogen acids with

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Ethane

Ethanol

Ethene and ethanol

Aldehyde

A carboxylic acid contains:

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A hydroxyl group

A carboxyl group

A hydroxyle & carboxyl group

A carboxyl &aldehyde group

CsF is an ionic compound because:

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High I.P of Cs and high E.A of F.

High I.P of Cs and low E.A of F.

Low I.P of Cs and high E.A of F.

Low I.P of Cs and low E.A of F.

Grignard's reagent was prepared in:

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1900

1910

1920

1930

When H₂and I₂are mixed and equilibrium is attained, then

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Amount of HI formed is equal to the amount of H₂dissociated

HI dissociation stops

The reaction stops completely

None of these

Which gas is produced by treating CaC₂with water

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Methane

Ethane

Acetylene

HCI

When of the following is isolelectronic with krypton

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Ca⁺⁺

Al⁺⁺⁺

Br^-1

I^-1

Molecules of High molecular weight usually greater than 10,000 are called:

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Macro molecules

Mega molecules

Poly molecules

Gega molecules

The principle quantum number describes

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The distance form the nucleus

The shape of the orbital

The orientation of the orbital

The spin of the electron

Grignard reagent on reaction with a ketone forms

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Tertiary alcohol

Secondary alcohol

Primary alcohol

Carboxylic acid

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

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Type of bonding

Shapes

Shape and type of bonding

None of above

Which of the following is not an element?

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Graphite

Diamond

22-Carat gold

Rhombic sulphur

On heating acetaldehyde with ammonical silver nitrate solution, we get

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CH₃OH

Silver acetate

HCHO

Silver mirror

The optimum conditions of temperature and pressure to get maximum NH₃form N₂and H₂gases is

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2000°C and 10 atmosphere

0°C and 1 atmosphere

400°C and 200-300 atmosphere

200°C and 100 atmosphere

Aldehydes which do not haveα-hydrogen undergo

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Aldol combination

Cannizzaro's reaction

Substitution

Elimination

Non-formation of menisus by Hg in presence of O₃is due to the formation of

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Mercuric oxide

Mercurous oxide

Mercuric chloride

Mercurous chloride

Which of the following synthetic phosphorous fertilizers is marked as super phosphate

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Calcium dihydrogen phosphate

Appetite

Calcium phosphate

Wavellite

When electricity is passed through molten electrolyte consisting of alumina and cryolite, 13.5 g of Al are deposited. The number of faradays of electricity passed must be

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2.0

1.5

1.0

0.5

The rate determining step is the :

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Slowest step.

Fastest step.

Moderate step.

Both (a) and (b).

What is the molarity of the solution that contains 20 grams of NaOH in 500 ml of solution [Na = 23, O = 16, H = 1]

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0.25

0.5

1

20

The alkali metal which is liquid at 15°C is

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K

Cs

Na

None

During a chemical reaction heat may be

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absorbed

Evolved

Both evolved and absorbed

None of these

The unit rate of constan K ismole^-1 dm³S^-1for a chemical reaction, the order of reaction is :

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3

2

1

0

Eutrophication causes reduction in

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Dissolved hydrogen

Dissolved oxygen

Dissolved salts

All the above

Quantum number values for 2p orbitals are

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n = 2, l = 1

n = 1, l = 2

n = 1, l = 0

n = 2, l = 0

Which statement is incorrect for NICAD battery

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The electrolyte is alkali

Cd acts as anode

MnO₂acts as electrolyte

NiO₂acts as cathode

In which molecule carbon atom is sp²hybridized

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CH₄

C₂H₄

C₂H₂

None of the above

The reaction of alcohol with SOCI₂in the presence of pyridine as catalyst gives

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Acids

Acid chloride

Alkyl halide

Benzene

In the rate equation when the concentration of reactants are unity, then rate is equal to

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Instantaneous rate

Average rate

Active mass of products

Specific rate constant

The structure of white phosphorus is

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Square planar

Pyramidal

Tetrahedral

Trigonal planer

The structure of benzene is

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Hexagonal

Pyramidal

Square planer

Tetrahedral

Which of the following is weakly acidic in nature

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Alcohol

Phenol

Aidehyde

Amide

Which of the following derivative cannot be prepared directly from acetic acid?

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Acetamide

Acetyl chloride

Ethyl acetate

Acetic acid

By applying Hess's law, we can calculate

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ΔH

ΔS

ΔF

K