Question # 1

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Multiplying each side of an inequality by (-1) will:

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Not effect

Change the sign

Become zero

Not defined

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3/4

-3/4

4/3

-4/3

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The law of sines

The law of consines

The law of tangents

None of these

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The set R is ........w.r.t subtraction

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Not a group

A group

No conclusion drawn

Non commutative group

The fixed point from which all the points of a circle are equidistant is called the

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chord of the circle

centre of the circle

diameter of the circle

radius of the circle

There may be ______ feasible solution in the feasible region

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Infinite

Finite

Defined

None of above

Tangent is a periodic function and its period is ______

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2π

3π

π

4π

If d₁is the distance between (0,0) and (1,2) and d₂is the distance between (0,0) and (-1,-2) the

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d₁< d₂

d₁> d₂

d₁= d₂

none of these

a ______quantity is one that possesses both magnitude and direction.

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Scalar

Vector

Segment

None of these

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(x³- 3x²)⁸+ c

3x²- 6x + c

The sum of even coefficient in the binomial expansion is

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2ⁿ⁺¹

2ⁿ

2^n-1

2n

The axis of the parabola y²= 4ax is

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X = 0

Y = 0

X = y

X = -y

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X = 100 sinθ

X = 10 sinθ

X = 100 secθ

None of these

The 31 term of the A.P 5,2,-1.....is

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-82

82

85

-85

The differential equation of all st. lines which are at a constant distance to form the origin is

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The corner point of the boundary lines, x- 2x

x+2y=10 is:

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(8,1)

(1,8)

(6,10)

(3,5)

The maximum value of sinθcosθis

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1

1/2

1/4

1/6

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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

If b₁, b₂, b₃, ... are in G.P. with first term unity and common ratio r, then the minimum value of b₁- b₃+ b₅is equal to

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3/4

1/4

1

None of these

The equation x2+ y2- 8x+ 6y+ 25= 0 represents

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A circle

A pair of straight lines

A point

None of these

Every real number is

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A complex number

A rational number

A natural number

A prime number

The transpose of a row matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

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

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α = 90°

β = 90°

γ = 90°

α +β +γ =180°

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3K

K2

K3

K

Which is not a half plane

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ax + by < c

ax + by > c

Both A and B

None

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0

1

A triangle which is not right is called an ______ triangle

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Acute

Obtuse

Oblique

None of these

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Sine rule for a triangle states that

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a/sin A = b/sin B = c/sin C

sin A/a = sin B/b = sin C/c

a/sin A + b/sin B + c/sin C

2a/sin A = 2b/sin B = 2c/sin C

Sin 50°-sin 70°+sin 10° is equal to

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1

0

1/2

2

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quadratic function

constant function

trigonometric function

linear function

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sin (sin^-1(1/2))=

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0

2

∞

1/2

A matrix in which the number of rows is equal to the number of columns is called a

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Diagonal matrix

Rectangular matrix

Square matrix

Scalar matrix

An expression involving any of the symbols <,>,< or > is called

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equation

inequality

linear equation

identity

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A

0

Unit vector

None

A relation in which the equality is true only for some values of the unknown is called

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An identity

An equation

A polynomial

None

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none of these

3x + 4 > 0 is

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equation

inequality

identity

none of these

If a (p + q)²+ bpq +c = 0 and a (p + r)²+ 2 bpr + c = 0, then qr equals

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p²+ c/a

p²+ a/c

p²+ c/a

p²- c/a

IfΔABC is right, law of cosine reduce to

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Law of sine

Law of tangent

Phthogorous theorem

Hero's formula

The arbitrary constants involving in the solution can be determined by the given conditions. Such conditions are called

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Boundaries

Variable separable

Initial values

None

Range of 3 sin x is ______

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[ -3, 3]

[-1, 1]

R

None of these

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

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b x c

b x a

cxa

Both a & b

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At

-A

A

A-1

A die is rolled. What is the probability that the dots on the top are greater than 4?

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1/4

1/2

1/3

1/33

If|a| =|b|=|a + b|=1, then|a+ b| = 5, then|a-b| =

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4

6

5

3

The slope of the tangent at the point (h,h) of the circle x2 +y2 =a2 is

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0

1

-1

h

The roots of the equation ax²+ bx + x = 0 are real and distinct if

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b²- 4ac <0

b²- 4ac = 0

b²- 4ac > 0

None of these

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The exact degree value of the function sin-1( -√3/2) is

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70^ο

50^ο

90^ο

60^ο

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For two events A and B if P(A) = P (A/B) = 1/4 and P(B/A) = 1/2, then

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A is sub-event of B

A and B are mutually exclusive

A and B are independent and P(A/B) = 3/4

None of these

If |a x b|2 + (a,b)2 = _____

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|a|2 + |b|2

|a|2- |b|2

|a|2|b|2

None

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xy

y

0

x

√x = ______ if is a prime number

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Rational no

Natural no

Irrational no

Complex no

The unit vector along x-axis is

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none of these

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

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A.P.

G.P.

H.P.

None of these

w¹¹= ______

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0

1

w

w²

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none of these

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1, 2, 3

1, 5, 9

2, 5, 8

3, 6, 9

Sin-1(-x)=

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x

-x

-sin-1 x

cos-1 x

sin (2π-θ)

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cosθ

sinθ

tanθ

-sinθ

5x³+ 3x - is a ______

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Polynomial of degree 3

Polynomial of degree 2

Polynomial of degree 1

Polynomial of degree 0

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What is the period of cos 6x =?

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π/2

π/3

π/4

π

The centre of the conic x2 +16x +4y2 -16y +76 =0 is

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(0,10)

(-8,4)

(-8,-2)

(1,1)

Rational number is a number which can be written as a terminating decimal fraction or a

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Non-terminating decimal fraction

Non-recurring

Recurring decimal fraction

a, b and c

Period of cos x is _____

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The ratio in which the line y- x+ 2 =0 divides the line joining (3,-1) and (8,9) is

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2:3

-2:3

3:2

-3:2

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Sum of two quantities is at least 20 is denoted by

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x +y =20

x +y≥ 20

x +y≠ 20

x +y≤20

The exact value of cos-1 (0) is

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π/2

-π/2

3π

π-π/6

I f a =5i + 2j, then|a| =

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√13

√7

1/√13

√29

If the lines 2x-3y-1=0,3x-y-5=0 and 3x+py+8=0 meet at a unique point then

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p = -14

p = -1

p =0

p=12

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

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2nd term

3rd term

4th term

5th term

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An empty set

Universal set

A singleton set

None of these

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

A diagonal matrix in which the diagonal elements are equal is called a

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Null matrix

Identity matrix

Scalar matrix

Row matrix

If a,b = 0 then

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a |b

a||b

a = b

None

√(-1b) =?

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b i

-i b

b2

i√b

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A function in which the second elements of the order pairs are distinct is called

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Onto function

One-one function

Identity function

Inverse function

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-1

0

1

undefined

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If S and P are the sum and the product of roots of a quadratic equation, then the quadratic equation is

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x²+ Sx - P = 0

x²- Sx + P = 0

x²- Sx - P = 0

X²+ Sx + P = 0

Which of the following is not a solution of system of inequalities 2x- 3y ≤6,2x +y≥ 2,x +2y≤ 8, x≥ 0,y ≥ 0

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(1,0)

(0,4)

(3,0)

(8,0)

If a=5j + 2j,b=2i -3j, then|a+2b|=

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√21

√97

√39

None of these

ax + by < c is linear inequality in

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four variables

three variables

two variables

one variable

Which is not a calcareous material

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Lime

Clay

Marble

Marine shell

Which of the following with aqueous KOH will give acetaldehyde?

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1, 2-Dichloroethane

1,1-Dichloroethane

Chloracetic acid

Ethyl chloride

The shape of CIO^-₃according to valence shell electron pair repulsion theory will be

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Planar triangle

Pyramidal

Tetrahedral

Square planar

Any other aldehyde except formaldehyde on reaction with Grignard's will produce

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Secondary alcohol

Primary alcohol

Tertiary alcohol

Aromatic alcohol

Out of 110 known elements, transition elements are

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40

60

50

80

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

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N₂ + 3H₂ ⇌2NH₃

The unit of K_c for tis reaction will be:

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mol² dm^-6

mol^-2 dm⁺⁶

mol dm^-3

mol^-1 dm⁺³

Which of the following statement is incorrect about SHE(Standard hydrogen electrode):

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Reduction potential of Cu⁺² is smaller than H⁺ions whenit is coupled with copper electrode.

gas is passed in it at 1 atm pressure.

Its oxidation potential and reduction potential is zero.

It is made of platinum wire dipped in HCl solution

Electron affinity of sulphur is

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More than O and Se

More than O but less than Se

Less than O but more than Se

Equal to O and Se

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

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Zero

100%

50%

Minimum

In the electronic configuration of Cr one electron from 4s sub-shell is transfered to 3d sub-shell because

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The 3rd orbital is of lower energy than 4s

The 4s orbital is of equal energy to 3d orbital

The half filled d-subshell is more stable than incomplete d-sub shell

6 unpaired electrons make Cr more paramagnetic

Phenol gives ---------- Colour with neutral FeCl₃solution

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Violet

Green

Red

Blue

Ammonium nitrate fertilizer is not used for which crop

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Cotton

Wheat

Sugar cane

Paddy rice

Tetrabromoethane on treatment with alcoholic zinc gives

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Ethylbromide

Ethane

Ethene

Ethyne

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

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1.08 g

10.8 g

21.6 g

108 g

For preparing an alkane, a concentrated aqueous solution of sodium or potassium salt of saturated carboxylic acid is subjected to

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Hydrolysis

Oxidation

Hydrogenation

Electrolysis

In a group IIA from top to bottom as the atomic number increases, there is regular decreases in

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Ionic size

Atomic size

Ionization potential

None of these

Among the alkaline earth metals the element forming predominantly covalent compounds is

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Be

Mg

Sr

calcium

Which is a weak nucleophile

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OH^-

Br^-

NH₃

CI^-

ΔH is equal to

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E + PV

E + PΔV

ΔE + P

ΔE + PΔV

The relative lowering of vapour pressure is equal to the mole fraction of the solute, This law is called

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Henry's law

Raoult's law

Ostwald's law

Arrhenius law

The branch of science dealing with structure, composition and changes in matter and laws and principles which govern these changes is called as

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chesmistry

Geology

Physics

Mechanics

Which one is a polymer compound?

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SO₂

CO₂

CH₄

PVC

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

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2

3

4

5

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 is not a steroid

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Cholesterol

Ergosterol

Phospholipids

None of these

CaC₂on hydrolysis form

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CH₄

C₂H₄

C₂H₂

C₆H₆

Increased asthmatic attacks in certain seasons are related to

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Inhalation of seasonal pollen

Eating of seasonal vegetables

Low temperature

Wet and dry environment

Protein are classified into

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Simple protein

Complex protein

Derived proteins

All of these

which one of the following is not a nucleophile?

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H₂O

H₂S

BF₃

NH₃

Use of ethanol as:

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Drink

Solvent and fuel

In beverage

All of these

Substances that tend to decrease the activity of enzymes are called

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Coenzyme

Activators

Inhibitors

Apoenzyme

In the atmosphere, CO₂is about

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0.01%

0.03%

0.05%

0.09%

The base used in Cannizzaro's reaction is

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NaOH

KOH

CHI₃

All of these

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-76 KJ

-57 KJ

-171 KJ

-114 KJ

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 liquid obtained after passing the mixture through filter paper is termed as:

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Extract

Residue

Filtrate

Sample

Ricket is caused due to the deficiency of vitamin

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A

D

B

E

Spontaneous reaction is such in which the system decreases its ______

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Energy

Free energy

Entropy

All

Polycyolic aromatic hydrocarbons are taught to be

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Disinfectant

Carcinogenic

Helpful

Reactive

K_avalue of HF acid is 6.7 x 10^-15the acid is a

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Weak acid

Moderately strong acid

Strong acid

Very weak acid

Silver mirror test is applied for

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Aldehydes

Alcohols

Acids

Esters

The toxic organic compounds and heavy metals and metalloids results in contamination of

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Surface water

Ground water

Both surface and ground water

Neither surface nor ground waters

Which statement about the following equilibrium in correct?

2SO_{2 (g)}+ O_2(g)---------------2sO_3(g)H= - 188.3 KJ mol-1

Choose an answer

T value of K_{p falls witha rise in temperate.}

The value of K_{p falls withincreasing pressure}

Adding V_2O₅catalyst increase the equilibrium yield of sulfur trioxide

The value of K_{p is equal to}K_p

How many cm³of 1 M H₂SO₄required to neutralize 10 cm³of 1 M NaOH

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2 cm³

2.5 cm³

5 cm³

10 cm³

Ethyl alcohol may be identified by

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Ring test

Iodoform test

Tollen's test

Bazeyer's test

The hydrocarbon used for polymerization is

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Alkanes

Alkenes

Alkynes

All of above

______ are called biocatalysts

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Organic acids

Organic bases

Enzymes

All

Which of the following is a strong electrolyte?

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Ca(NO₃)₂

HCN

CH₃COOH

NH₄OH

The pressure of vapours when sent to the ionization chamber in mass spectrometer is

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10^-5to 10^-6torr

10^-6to 10^-7torr

10^-7to 10^-8torr

10^-3to 10^-4torr

The electropositive elements from

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Acidic oxides

Basic oxides

Neutral oxides

None

Which of the following is a method of converting a unsaturated ketone into unsaturated hydrocarbon?

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Aldol condensation

Reimer Tiemann reaction

Cannizaaor's reaction

Wolf-kishner reduction

Natural fertilizers are materials derived from

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Plants only

Animals only

Both plants and animals

None of these

Which of the following elements is most electronegative?

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Oxygen

Chlorine

Nitrogen

Fluorine

In the presence of copper electrodes the electrolysis of aqueous CuSO₄produces at cathode

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H₂gas

O₂gas

SO₂gas

Cu metal

Which one of following is not monocyclic aromatic hydrocarbon

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Benzaldehyde

Benzoic acid

Benzene sulfonic acid

Biphenyl

Which of the following has magnesium?

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Carbonic anhydrase

Haemocyanin

chlorophyll

Vitamin B₁₂

Smallest charge of electricity that has been measured so far is

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Charge on a-rays

Charge on electron (1.602 x 10^-19C)

Charge on x-rays

Charge on gamma rays

Alkanes are soluble in all except

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Benzene

Ether

Water

Carbon tetra chloride

Which of the following molecules has a net dipole moments

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CO₂

CS₂

SO₂

CCI₄

The structure of complex hydrides is

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Tetrahedal

Trigonal

Octahedral

Square planar

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 equivalent conductivity of 0.1 M week acid is 100 times less than at infinite dilution. The degree of dissociation is

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100

10

0.01

0.001

Who one mole of each of the following is completely burned in oxygen, which gives the largest mass of carbon dioxide?

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Carbon monoxide

Diamond

Ethane

Methane

Zn + HCI are used in

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Clemenson reduction

Wof kishner reduction

Kolb's electrolysis

Wutruz reaction

On passing HCI gas through a saturated solution of commercial sodium chloride, pure crystals of NaCI are precipitated due to

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Increase in pH of the solution

Decrease in pH of the solution

Common ion effect

Increase in ionization of NaCl

Ascorbic acid is a chemical name of

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Vitamin D

Vitamin A

Vitamin C

Vitamin B₆

Each of the following compounds is effective as a refrigerant. The release of which one of these causes the greatest depletion of the ozone layer

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CCl₂F₂

CH₃OCH₃

CH₃CHF₂

CH₃CH₂CH₃

The oxyacids of phosphorus in which phosphorus has the lowest oxidiation state is

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Hypophosphorus acid

Orthophosphorus acid

Pyrophosphorus acid

Metaphosphorus acid

When an electric current is passed through discharge tube at low pressure, cathode rays are emitted from cathode these rays consist of:

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Alpha rays.

Negative particles.

Electromagnetic rays.

Positive particles.

Which reagent will distinguish a ketone from an aldehyde

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Br₂

2, 4-dinitrophenylhydrazine

NaBH₄

Tollen's reagent

Silk is an example of

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Animal fiber

Vegetable fibre

Mineral fibre

None of these

A bond between two atoms may be obtained by sharing of electrons such a bond is called

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An ionic bond

A coordinate bond

A dative bond

A covalent bond

Which of the following is a typical transition metal?

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Sc

Y

Ra

Co

Organic synthetic or man made polymers are plastics, rubber and fibre. Which is not a synthetic polymer

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Silk

Polyester

Polyvinyl chloride

Nylon

For which system does the equilibrium constant, kc has units of (concentration) ?

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N₂+3H_2-------2NH₃

H₂+L₂---------2HL

2NO₂----------N₂O₄

2HF--------H2+F₂

Choose an answer

Zn

H

S

O

Those amino acids which contain two carboxylic groups are called ______ amino acids

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Acidic

Basic

Neutral

None of these

Peptide bond is a key feature in

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Polysaccharide

Proteins

Nucleotide

Vitamins

Monosaccharides belong to the group

Choose an answer

Lipids

Fats

Proteins

Carbohydrates

Choose an answer

High temperature and low pressure

Low temperature and low pressure

Low temperature and high pressure

High temperature and high pressure

Aldehydes are produce in atmosphere by

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Oxidation of secondary alcohols

Reduction of alkenes

Reaction of oxygen atoms with hydrocarbons

Reaction of oxygen atoms with ozone

Lattice energy of NaCI

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+5000 KJ

-344 KJ

-776 KJ

-411 KJ

Titanium is used as a catalyst in

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Hydrogenation

Dehydrogenation

Polymerization of P.E.

Oxidation of ammonia

Synthetic polymer prepared from caprolactum is known is

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Nylon 610

Teflon

Terylene

Nylon-6

In which type of following solutions we don't know the total volume of the solutions :

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Percentage weight/weight

Percentage weight/volume

Percentage volume/volume

Percentage volume/weight

Transition elements differ from s and p block elements due to their characteristic properties. What is not he characteristic property of transition elements

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Transition elements show variable oxidation states

Their salts are coloured

They can be used as catalyst

All of them are metals

All the elements belongs to the 2nd period are

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Normal elements

Transition elements

Stable elements

Halogens

Which substances are mixed to form a buffer solution?

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A strong acid and its salt of a strong base

Strong acid and its salt of weak base

Weak acid and its salt of strong base

Weak acid and its salt of weak base

The degree of unsaturation in fats or oils is usually measured by numbers of grams of iodine required by 100 grmas of fat, this is called

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Oil number

Saturation number

Iodine number

Un saturation number

Coordination number of Pt in [PtCI(NO₂) (NH₃)₄]²⁺is

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2-

4

1

6

Reaction of ethanes with KMnO₄gives:

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Ozonide

Glyoxal

Glycol

Oxalic acid

Choose an answer

Temperature is increased

Pressure is increased

HCl is added

HCl is removed

The function of salt bridge is :

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To increase movement onions.

To increase the emf of cell.

To decrease the temperate

To maintain electrical neutrality

C₂H₅CHO and (CH₃)₂CO can be distunguished by testing with

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Phenyl hydrazine

Hydroxylamine

Fehling solution

Sodium bisulphate

The polymers which can be re-softened again and again are caled

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Thermoplastic

Thermosetting

Both a and b

None

Two vitamins absorbed from intestine along with fats are

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A, D

A, B

A, C

D, B

Alcohols are derivatives of:

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Alkanes

Alkens

Alkynes

Benzene

Carbon monoxide, emitted by automobiles, prevents transport of oxygen in body due

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Combining with oxygen to form carbon dioxide

Destruction of hemoglobin

Preventing reaction between oxygen and hemoglobin

Forming stable compound with hemoglobin

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Q and R Q and R

R only Q and R

Q and R R only

Q only R only