Question # 1

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A

A'

U

U'

If z₁ =√-36 ,z₂ =√-25,z3 =√-16 then

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15

15i

-15i

-15

The approximate percentage increase in the volume of a cube if the length of its each edge changes from 5 to 5.02 is

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1.2%

1.5%

0.16%

100.16%

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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

The period of|sin⁡2x| is

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π/2

-π/2

π

π/3

The value of the expression sinθ+ cosθlies between

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w⁴= ______

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0

1

w

w²

A number H is said to be the H.M. between a and b if a, H, b are in

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A.P.

G. P.

H. P.

None of these

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(x +a)(x +b)(x +c)(x +) = k, k≠0 is reducible to quadratic form only if

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a+b=c+d

a+c=b+d

a+d=b+c

All are correct

The roots of the equation ax²+ bx + c = 0 are complex/imaginary if

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b²- 4ac < 0

b²- 4ac = 0

b²- 4ac > 0

None of these

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-1

0

1

None of these

i¹⁰¹ =

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i

i²

-i

-1

Find the next two terms of 7, 9, 12, 16,...

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18, 20

19, 22

20, 25

21, 27

Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4 and then the men select the chairs from amongst the remaining. The number of possible arrangement is

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⁶C₃x ⁴C₂

⁴C₂x ⁴P₃

⁴P₂x ⁶P₃

None of these

The points of intersection of the line y = 2x -3 and the circle x²+ y² - 3x =2y -3 = 0 are:

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two

three

less thean two

not intersect

Multiplicative inverse of 0 is

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0

1

±1

Does not exist

If a and b are real numbers then a+b is also real number this law is called

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associative law of addition

closure law of addition

Distributive law of addition

Commutative law of addition

The point (1,3) is one solution of

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3x + 5y > 29

3x + 5y < 7

x + 2y < 4

x + 4y > 3

Circle x² + y² - 2y -y = 0 and x² + y² - 8y -4 =0:

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Interesect

touch externally

touch internally

do not touch

The multiplicative inverse of x such that x = 0 is

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-x

Does not exist

1/x

±1

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Every real number is

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A complex number

A rational number

A natural number

A prime number

For all points (x,y) on y-axis

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x is positive

x = 0

x is negative

y = 0

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none of these

The distance s of a particle in time t is given by s = t³- 6t²- 4t - 8. Its acceleration vanishes at t =

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1

2

3

4

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additive property

multiplicative property

additive identity

multiplicative identity

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

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

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14

2

-2

11

If x² + px + 1 is a factor of ax³+ bx +c, then

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a²+ c²= -ab

a²- c²= -ab

a²- c²= ab

None of these

If 4 sin²θ=1, then values ofθare

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Right angled

Obtuse angled

Isosceles

Equilateral

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Multiplication property

Additive property

Trichotomy property

Transitive property of inequality

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

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(0,1)

(2,1)

(2,2)

(3,3)

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The real numbers which satisfy an inequality form its

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solution

coefficient

domain

range

The exact value of cos-1 (0) is

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π/2

-π/2

3π

π-π/6

The roots of the equation 4x - 3.2x+2 + 32 = 0 would include

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1 and 3

1 and 4

1 and 2

2 and 3

If z=(x,y) then z has no multiplicative inverse when

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x ≠ 0, y = 0

x = 0, y = 0

x = 0, y ≠ 0

None of these

The vertex of the parabola (xsin a -ycos a)2 =4a(xcos a +ysin a) lies at

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(acos a,asin a)

(a,0)

(cos a,sin a)

(0,0)

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

The perpendicular bisector of any chord of a circle

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Passes through the centre of the circle

Does not pass through the centre of the circle

May or may not pass through the centre of the circle

None of these

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

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2ⁿ

2²ⁿ

2 . n

n²

The two lines y = 2x and x =2y are

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Parallel

Perpendicular

Equally inclined with axes

Congruent

The sum of co-efficient in (1+x-3x²)⁴¹⁶³is

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0

1

-1

None

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Digit in the unit place of the number 183! + 3¹⁸³

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7

6

3

0

f(x) = 2x²+ 3x + 5 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

{x : xε Z and x < 1} is

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Singleton set

A set with two points

Empty set

None of these

Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =

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4

3

2

1

The function ø(x) is ananti derivativeof function f (x),x∈Df if

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ø′(x) =∫f(x)dx

ø(x) =∫f(x)dx

ø′(x) =f(x)

ø(x) =∫′(x)dx

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[0, 0, 0]

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

An event having more than one sample point is called

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Certain event

Compound event

Simple event

None

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0

1

-1

None

The equation of vertical asymptotes of y = cos ecx is

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x = 0

y = 0

x =∞

y =∞

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If 2 tan¹(cos x) = tan^-1(cosec²x), then x is equal to

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π/ 3

π/ 2

π/ 6

π

π is ______

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A complex number

A rational number

A natural number

An irrational number

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

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3

5

-3

-5

The second degree equation 2x2 -xy+ 5x -2y +2 =0 represents

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Circle

Hyperbola

Ellipse

Pair of straight lines

A ________ divides the plane into left and right half planes.

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Vertical line

Horizontal line

Non vertical line

Inequality

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Parallel to the plane

At right angles to the plane

Lies in the plane

Meet the plane obliquely

The set of positive integers, 0 and negative integers is known as the set of

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Natural numbers

Rational numbers

All integers

Irrational numbers

Which element is the additive inverse of (a,b) in Complex numbers

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(a,0)

(0,b)

(a,b)

(-a,-b)

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3

2

8

0

Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8

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Associative property of addition

Associative property of multiplication

Additive identity

Multiplicative identity

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In natural logarithm the base is

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1

0

10

e

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I andII quadrants

II andIII quadrants

III andIVquadrants

none of these

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square root function

identity function

linear function

quadratic function

If a statement S(n) is true for n = i where i is some natural number and the truth of S(n) for n = k > i implies the truth of S(n) for n = k +1 then S(n) is true for all positive integers

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If n is add the expansion (a + x)ⁿhas middle terms

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2

3

4

5

tanθ/2

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For trival solution |A| is

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A

|A| is non zero

A = 0

None of these

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Improper rational fraction

Rational fraction

Proper rational fraction

None of above

The set of integers is a subset of

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The set of natural numbers

The set of whole numbers

The set of prime numbers

The set of rational numbers

The set of all antiderivaties of f(= ∫f(x)dx) is the

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Definite integral

Indefinite integral

Integral

Area

The common point to four standard parabolas

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Focus

Centre

Vertex

P(x,y)

If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

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(ac,bd)

(ac+bd, ad-bc)

(ac-bd , ad+bc)

(ac-bd , ad-bc)

The equation of the circle with centre (5, -2) and radius 4 is

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(x-5)²+ (y+2)²= 16

(x-5)²+ (y+2)²= 4

(x-5)²+ (y-2)²= 16

(x-5)²+ (y-2)²= 4

Choose an answer

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

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x < x²< x³

x < x³< x²

x²< x³< x

x²< x < x³

Period of cosec x is ______

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Both the roots of the equation (x -b) (x - c ) + (x -c) (x-a) +(x-a) (x-b) = 0 are always

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Positive

Negative

Real

None of these

Sin h^-1x = _________

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The equation x²+ y²= 0 represents

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A circle

A degenerate circle

An empty set

A st. line

Roots of the equation x²+ 7x + 12 = 0 are

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{3, -4}

{-3, 4}

{3, 4}

{-3, -4}

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If A is a non-singular matrix then adj A is

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Non-singular

Symmetric

Singular

Non defined

The value of sin-1 24/25 is equal to

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csc-1 25/24

sec-1 24/25

2 tan-1 4/5

2cos-1 24/25

Period of sin x is

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Which one is not defined∀n∈Z+

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-n!

n!

(-n)!

n!+0!=n!+1

Each of the following is true of white and red phosphours except that they

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Are both soluble in CS₂

Can be oxidized by heating in air

Consist of the same kind of atoms

Can be converted into one another

After chlorination, the pulp is washed at:

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20°C

30°C

40°C

60°C

A limiting reactant is one which according to the stoichiometric equation

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Has excess mass

Has least mass

Has excess number of moles

Has least number of moles

Which species represented by the following formula has the largest radius

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P^3-

Cl^-

A_r

K⁺

If a salt bridge is removed between the two half cells, the voltage

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Drops to zero

Does not change

Increases gradually

Increases rapidly

Eutrophication causes reduction in

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Dissolved hydrogen

Dissolved oxygen

Dissolved salts

All the above

Aldehydes are reduced to :

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Pri-alcohol

Sec-alcohol

Ter-alcohol

All of these

In the reaction of oxalic acid with KMnO₄and H₂SO₄is slow at the beginning but after sometimes the reaction becomes faster due to

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Formation of MnSO₄which acts as 'Auto catalyst

Formation of CO₂which acts as 'Auto catalyst

Formation of K₂SO₄which acts as 'Auto catalyst

Evolution of O₂gas which acts as 'Auto catalyst

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

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KMnO₄

Ethanol

Ethane

CH₃CH₂Cl

Rutherford's planetary like picture of the atomic modal was defective because

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It did not describe the quantity of positive charge

It did not explain the repulsion of protons within the nucleus

No empty space between nucleus and the electrons

Moving electron should radiate energy

Hydrocarbons are organic compounds which contain elements such as

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Hydrogen

Carbon

Hydrogen and carbon

Halogens

A beaker contains 9 grams of water. The number of H atoms is

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6.02 x 10²³

3.01 x 10²³

6.02 x 10²⁴

3.01 x 10²⁴

The reaction-method that does not give an alkane is

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Catalytic hydrogenation of alkanes

Wurtz reaction

Hydrolysis of alkyl magnesium bromide

Dehydrohalogenation of an alkyl halide

Which of the following are thermoplastic materials

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PVC

Polystyrenes

Polyethylene

All these

Steps in SN , reactions are:

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One

Two

Three

Four

The test used for the detection of ethanol in the mouth of a drunk driver is that the drunk driver is asked to blow air from mouth into a solution of K₂Cr₂O₇and H₂SO₄. The colour changes, if the driver is drunk

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From orange to green

From pink to green

From orange to colorless

From pink to colorless

A solution has 92 g of ethyl alcohol, 96 g of methyl alcohol and 90 g of water. Mole percentage of ethyl alcohol in the solution is

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10

20

25

50

What is the name of the comlex [Ni(CO)₄]

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Tetracarbonylnickel (o)

Tetracabonylnickel

Tetracabonylnickel (II)

Tetracabonylnickel (IV)

Which of the following elements have the largest radius

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F

Cl

Br

l

Grignard reagent is reactive due to :

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The presence of halogen atom

The presence of Mg atom

The polarity of C - Mg bond

None of them

Which of the following is the strongest acid?

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CF₃COOH

CBr₃COOH

CH₃COOH

CCl₃COOH

In OF₂, number of bond pairs and Ione paris of electrons are respectively

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2,6

2,8

2,10

2,9

Tripple bond is present in

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O₂

H₂

N₂

Cl₂

A dry alkaline cell has porous Zn anode and MnO₂as cathode the electrolyte used is

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Ca(OH)₂

NaOH

KOH

NH₄OH

Primary alcohols and aldehydes are oxidized to corresponding:

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alkanes

alkenes

Alkynes

Carboxylic Acid

Gradation in properties in the periods of periodic tables are due to change in

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Atomic weight

The number of electrons

Number of protons

Electronic configuration

Phenol is heated with CCl₄and alkaline KOH when salicylic acid is produced.The reaction is known as

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Frledel-Craft reaction

Riemer-Tiemann's reaction

Rosenmund's reaction

Sommelet reaction

Precipitation will occur until the ionic product becomes

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Equal to K_sp

Lesser than K_sp

Greater than K_sp

None of these

SN₂reactions can be best carried out with:

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Prl. alkyl halide

Sec. Alkyl halide

Ter. Alkyl halide

All of three

The osmotic pressure of a dilute solution is directly proportional to the

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Diffusion rate of the solute

Ionic concentration

Elevation in boiling point

Flow of solvent from a concentrated to a dilute solution

Which of the following organic compounds exhibits positive Fehling test as well as iodoform test?

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Methanal

Ethanol

Propanone

Ethanal

Francium is an element at the bottom of Group I in the Periodic Table. Which one of the following predication is likely to be correct?

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It will react with water to liberate oxygen

Its hydroxide will be a strong alkali in water

Its carbonate will decompose on heating to give carbon dioxide

Its nitrate on heating will give nitrogen dioxide and oxygen

Which of the following is responsible for depletion of the ozone layer in the upper strata of the atmosphere?

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Fullerences

Freons

Polyhalogens

Ferrocene

Hydrolysis of Grignard's reagent yields

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Alcohol

Aldyhyde

Ester

Alkane

Quality of fuel is judged from its octane number. The best fuels are

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Straight chain hydrocarbons

Branched chain hydrocarbons

Cyclic compounds

Compounds containing benzene ring

In t-butyl alcohol, the tertiary carbon is bonded to:

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Two hydrogen atom

Three hydrogen atoms

One hydrogen atoms

No hydrogen atoms

Alcohol can be prepared from Grignard's reagent with an aldehyde: If we start with formaldehyde the product alcohol with be

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Primary

Secondary

Territory

Aromatic

Chromic acid used to oxidize

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Aldehyde

Ketone

Both a and b

None of these

Poly hydroxyl compounds of aldehyde and ketones are:

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Carbohydrates

Proteins

Fats

Lipids

Which one of the following is a water soluble vitamin

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D

K

A

Ascorbic acid (Vic C)

Rutherford's atomic model suggests the existence of

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Atom

Nucleus

alpha particle

Measons

HCOOH reacts with conc. H₂SO₄to produce

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CO

CO₂

NO

NO₂

Molarity of pure water is :

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33.3

55.5

44.4

66.6

The equilibrium constant in a reversible chemical reaction at a given temperature

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Depends on the initial concentration of the reactants

Depends on the concentration of one of the products at equilibrium

Does not depend on the initial concentration of rectants

It is characteristic of the reaction

Choose an answer

K_p> K_c

K_c> K_p

K_p= K_c

None of these

Choose an answer

Zero

253 sec

150 sec

500 sec

An organic compound 'A' has the molecular formula C₃H₆O, it undergoes iodoform test. When saturated with HCl it gives 'B' of molecular formula C₉H₁₄O. A and B, respectively are

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Propanal and mesitylene

Propanone and mesityl oxide

Propanone and 2, 6-dimethyl-2,5-heptadien-4-one

Propanone and mesitylene oxide

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

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

Peat before conversion to bituminous coal is converted to

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Lignite

Anthracite

Asphalt

None

Which compound does not show hydrogen bonding with water

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CH₃OH

C₂H₅OH

CH₃- O - CH₃

C₆H₅OH

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

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

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

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

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

The wave number of the line emitted is 109.678 x 10⁵m^-1in the Lyman series when electron transition occurs

Choose an answer

The compounds or species in search of electrons are called

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Elctrophiles

Nucleophile

Nitrities

Bases

A Solution containing 6.8 g of non-ionic solute in 100g of water was found to freeze at -0.93°C. If k_rfor water is 1.86 and molecular mars of solute is

Choose an answer

13.6

34

68

136

1.1 mol of A is mixed with 2.2 mol of B and the mixture is kept in on litre flask till the equilibrium is reached. At equilibrium, 0.2 mol of C is formed. If the equilibrium reaction is A+2B 2C+D, the value of equilibrium constant is

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0.002

0.004

0.001

0.003

For the representative elements from left to right across a period in the periodic table, the electron effinity of the atom generally

Choose an answer

Increases

Remains constant

Decreases

Not clear

One calorie is equal

Choose an answer

4.132 J

760 J

4.184 J

1 J

Vinyl acetylene combines with HCl to form:

Choose an answer

Polyacetylene

Benzene

Chloroprene

Divinyl acetylene

Which of the following reagent cannot be used for preparing alkyl chloride from alcohol?

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HCl + anhyd. Zncl₂

NaCl

PCl₅

SOCl₂

Bakelite is obtained from phenol by reacting with

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Acetaldehyde

Acetal

Formaldehyde

Chlorobenzene

The oxidation number of H is -1 in the compound

Choose an answer

H₂O

H₃BO₃

NaOH

NaH

The alkyl halide is converted into an alcohol by

Choose an answer

Addition

Substitution

Dehydrohalogenation

Elimination

Choose an answer

Addition Elimination

Addition Reduction

Elimination Reduction

Substitution Elimination

Which set of hybrid orbitals has planar triangle shape?

Choose an answer

sp³

sp

sp²

dsp²

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

Choose an answer

1.08 g

10.8 g

21.6 g

108 g

The coinage metals are

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Ni, Pd, Pt

Cu, Ag, Au

Zn, Al, Pb

Fe, Si, Sn

Which of the following does give violet colour with neutral ferric chloride?

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Acetic acid

Salicaylic acid

Formine acid

Benzoic acid

Which is not true with respect to cathode rays?

Choose an answer

A stream of electrons

Charged particles

Move with speed as that of light

Can be deflected by magnetic fields

Which of the following salt is soluble in water

Choose an answer

CaCO₃

CaSO₄

MgSO₄

BaSO₄

When aqueous solution of NaOH is electrolysed useing graphite electrodes, the product obtained at anode is

Choose an answer

O₂gas

H₂gas

Na metal

Na₂O

Choose an answer

[A] = [B]

[A] < [B]

[B] = [C]

[A] > [B]

Chief air pollutant which is likely to deplete ozone layer

Choose an answer

Sulphure dioxide

Carbon dioxide

Nitrogen oxides and chloro fluorocarbons

In endothermic reaction, the heat content of the

Choose an answer

Products is more than that of reactants

Reactants is more than that of products

Both a and b

None of the above

Choose an answer

0.5

4.0

2.5

0.25

Which one of the following metal ions is colourless?

Choose an answer

V²⁺

Cr³⁺

Zn²⁺

Ti³⁺

When sodium metal reacts with alcohols

Choose an answer

Hydrogen gas evolves

Sodium hydroxide is obtained

Alcohol is reduced

Alcohol is polymerised

The spectrum of helium is expected to be similar to that of

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H

Li⁺

Na

He⁺

Which reaction is example of nucleophilic substitution

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Vinyl acetylene combines with HCI to form

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Poly acetylene

Benzene

Chloroprene

Divinylacetylene

Besides Zn and Cu , German silver contains the metal

Choose an answer

Sn

Ag

Ni

Mg

N₂3H₂⇌ 2NH₃

_{Which of the following change will favorthe formation of more}NH₃at equilibrium in above reaction :

Choose an answer

By adding NH_3.

By removingH_2.

By decreasing pressure.

By increasing pressure.

Newspaper can be recycled again and again by how many times?

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2

3

4

5

The solid remained on filter paper during the filtration is called the :

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Substance.

Residue.

Undue.

Filtrate.

In carboxyl group the bond between C and oxygen is:

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Sigma bond

Single bond

Double Bond

Triple bond

Preparation of vegetable ghee involves

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Halogenations

Hydrogenations

Hydroxylation

Dehydrogenations

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

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Thermoplastic

Thermosetting

Both a and b

None

The benzene molecule contains

Choose an answer

Three double bonds

Two double bonds

One double bonds

Delocalizedπ-electron charge

Which is not the poplar reaction

Choose an answer

1

2

3

4

Choose an answer

Alkyl

Alkyl nitrile

Cyanogens

Amine

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

Choose an answer

Acidified (aq) KMnO₄

Concentrated H₂SO₄

PCl

Sodium

Which of the following statements is not true?

Choose an answer

Isotopes with even atomic masses are comparatively abundant

Isotopes with even atomic masses and even atomic numbers are comparatively abundant

Isotopes with even atomic masses and odd atomic number are comparatively abundant

The electrolysis of CuSO₄aqueous solution using copper as cathode as well an anode the substance which deposits at cathode is

Choose an answer

H₂SO₄

Oxygen

Copper

Hydrogen

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

Choose an answer

Bond length

Bond strength

Bond energy

None of these

Which reagent will distinguish a ketone from an aldehyde

Choose an answer

Br₂

2, 4-dinitrophenylhydrazine

NaBH₄

Tollen's reagent

Heating a mixture of sodium benzoate and soda lime gives

Choose an answer

Methane

Benzene

Sodium bezoate

Calcium benzoate

Lime, calcium oxide, is used in agriculture for

Choose an answer

Adding ca metal in soil

Making soil acidic

Neutralizing acidic soil

Adding oxygen to soil

Phosphide ion has the electronic structure similar to that of

Choose an answer

Nitride ion

Fluoride ion

Sodium ion

Chloride ion

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

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Ethers

Esters

Anhydride

Amides

Which of the following is commonly called polyamide

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Nylon

Rayon

Terylene

Oridon