Question # 1

tan270° =__________;

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0

1

-1

Undefined

How many numbers are there between 103 and 750 which are divisible by 6

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125

107

108

113

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

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(0,ac)

(ac, 0)

(0,0)

(a, c)

A = B if

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A is equivalent to B

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100x ⁹⁹

100x ¹⁰¹

-99x ⁹⁹

-100x ¹⁰¹

If 4 sin²θ=1, then values ofθare

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Empty set is

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Not the member of real numbers

Infinite set

Finite set

Not subset of every set

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

Geometrically, the modulus of a complex number represents its distance from the

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Point (1, 0)

Point (0, 1)

Point (1, 1)

Point (0, 0)

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1

2

3

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none of these

sin(π+θ)=_______;

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sinθ

cosθ

-sinθ

-cosθ

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

Find the geometric mean between 4 and 16

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The domain of the principle cos function is

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The set {1,-1, i, -i} form a group under

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Addition

Multiplication

Subtraction

None

The position vector of a point (x, y) in xy plane is

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none of these

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

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In(x²- x + 1)⁴+ c

For any set X, X∪X is

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X

X'

Φ

Universal Set

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120

5

4

6

There are ______ types of rational fraction

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Three

Four

Five

Two

Matrix multiplication is

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Commutative

Not commutative

Not associative

Not distributive

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Two real roots

Two positive roots

Two negative roots

One positive and one negative root

A diagonal matrix is always

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Identity

Triangular

Scalar

Non-singular

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Intersection of two parabolas

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parabola

Two points

Four points

Hyperobla

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none of these

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The negative square root of 9 can be written as:

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-√9

√9

√18

-√18

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Which of the following function form 1 to itself are bi-jective

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F(x) = x + 3

F(x) = x⁵

F(x) = 3x + 2

F(x) = x²+ x

If C={p/p < 18, p is a prime number}, then C =

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{2,3,4,.........17}

{2,4,6,8................16}

{1,3,5,7,9,11,13,15,17}

{3,6,9,12,15}

45° = ______

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1

5

7

9

If f(x) = cos x then f(0) is

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0

1

1/2

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)

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2^x

2^xIn x

2^xIn 2

Express as a sum or difference: 2 sin 5θcosθ

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cos 4θ- cos 2θ

sin 4θ+ sin 2θ

cos 4θ+ cos 2θ

sin 4θ- sin 2θ

If A = [a_ij] is (m x n) matrix, then transpose of A is of the order

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m x m

m x n

n x n

n x m

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If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =

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5

{-3,-2,-1,0,1,2,3,4,5,6}

8

9

tan (-135°) = ______θ

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0

1

2

3

i^-(4n+2)= -------------------------------

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1

i

-1

-i

A fraction in which the degree of the numerator is less than the degree of the denominator is called

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Polynomial

Equation

Proper fraction

Improper fraction

A fraction in which the degree of the numerator is less the degree of the denominator is called

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Polynomial

Proper fraction

Rational fraction

None

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π

π / 2

π / 3

π / 4

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

Decimal part of irrational number is

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Terminating

Repeating only

Neither repeating nor terminating

Repeating and terminating

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Optimal solution is found by evaluation the objective function at

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All point of feasible region

Corner point

Origin

None

A and B be two square matrices and if their inverse exist the (AB)-1 =

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A-1 B-1

AB-1

A-1B

B-1A-1

Number of lines passing through three non-collinear points is

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2

3

1

0

∞

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

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Focal chord

Latus rectum

Tangent

Directrix

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The transport of a rectangular matrix is a

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Square matrix

Rectangular matrix

Row matrix

Column matrix

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0

-1

1

The point ________ is in the solution of the inequality 2x - 3y > 5

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(1, -1)

(2,2)

(0,0)

(3,0)

The matrix A = [aij]mxn with m ≠n is always

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Symmetric

Hermition

Skew-symmetric

None

w²⁸+ w³⁸= ______

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0

1

w

-1

The roots of the equation ax²+ bx + c = 0 are real and equal if

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b²- 4ac < 0

b²- 4ac = 0

b²- 4ac > 0

None of these

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

If y = sin (ax + b), then fourth derivative of y with respect to x =

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a⁴cos (ax + b)

a⁴sin (ax + b)

-a⁴sin (ax + b)

a⁴tan (ax + b)

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1/3

1

3

None of these

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Roots of the equation x²+ 5x - 1 = 0 are

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Rational

Irrational

Complex

None of these

∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a

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Symmetric property

Cancellation property w.r.t multiplication

Reflexive property

Transitive property

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A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes is

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50

25

10

100

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cos (α+β) + cos (α-β) =

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4 cosαcosβ

2 cosαcosβ

2 sinαsinβ

2 sinαcosβ

In triangle ABC, in which b=95, c=34, a =52^𝜊then the value of a=

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18 cm

18.027 cm

20.7 cm

19 cm

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c/a

-c/a

b/a

-b/a

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

If A is an event then which of the following is true

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P(A)<0

0≥P(A)≤1

P(A)>0

None

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∀x, y ∈ R, either x = y or x > y or x < y is

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Transitive property

Reflexive property

Trichotomy property

None of these

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

Sec^-1x =

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Cos^-11/x

cosec^-11/x

Cos^-1(-x)

Tan^-1x

If for two events A and B , P(A∪B)=1,then events A and B are

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Certain events

Mutually exclusive

Complementary events

Independent

22.5°=______

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The order of the matrix A is 3 x 2 and that of B is 2 x 3. The order of the matrix BA is

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3 x 3

3 x 2

2 x 5

5 x 2

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none of these

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Roots of the equation 2x²- 7x + 3 = 0 are

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Rational

Irrational

Complex

None of these

Domain of cosec x is ______

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The point on y²= 4ax nearest to the focus has its abciassae equal to

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-a

a

a/2

0

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none of these

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

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(2x+a+b+c)

(a+b+c)

(a+b+c+x)

0

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

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y + 1 = Ae^x

y + 1 = Axe^x

xe^x= C

y + xe^x= C

The probability to get an odd number in a dice thrown once is

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1/2

1/6

1/3

2

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Conclusion

Implication

Antecedent

Hypothesis

The amount of heat required to convert one mole of solid directly into its vapour state at STP is called as

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Molar heat of vaporization

Standard heat of vaporization

Heat of reaction

Heat of neutralization

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

Eutrophication causes reduction in

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Dissolved hydrogen

Dissolved oxygen

Dissolved salts

All the above

The open chain organic compounds are called

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Linear compounds

Aromatic

Aliphatic

Both A and B

BiCl₃on hydrolysis forms a white precipitate of

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Bismuthio acid

Bismuth oxychloride

Bismuth pentachloride

Bismuth hydroxide

Benzene is obtained by fractional distillation of

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Heavy oil

Anthracene oil

Middle oil

Light oil

Indicate the correct statement

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All lanthanidees are present in the same group

All halogens are present in the same period

All the alkali metals are present in the same group

All the noble gases are present int he same period

Sulphonation of benzoic acid produces mainly

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o-Sulphobenzoic acid

m-sulohobenzoic acid

p-Sulphobenzoic acid

o-and p-Sulphobenzoic acid

Stainless steel contains Cr upto

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12%

18%

10%

5%

Which statement is not true. A solution is a homogeneous mixture of

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Two ionic substance like NaCl and HCl

Two molecular substances sugar and water

A solute and a solvent 1% NaHCO₃in water

NaCl and sand

Light emitted from a source has its wave length 500nm, then its wave number will be

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2 x 10⁶m^-1

2 x 10⁷m^-1

5 x 10⁸m^-1

5 x 10⁹m^-1

The sun of all the energies of atoms, molecule, ion, within system is called

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Enthalpy

K.E. of the system

Internal energy

None

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Alkyl

Alkyl nitrile

Cyanogens

Amine

Lithium reacts with air to form

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Peroxide

Normal oxide

Superoxide

None of these

Which one of the following has highest density

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Zn

Os

Ni

Cu

A cell constant is generally found by measuring the conductivity of aqueous solution of

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BaCl₂

KCl

NaCl

MgCl₂

The alkaline earth elements have in their s-orbital

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One electron

Two electron

No electron

Three electron

3.6% WN solution of HCI has the molairity

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1.0

1.15

0.98

1.98

The number of paper industries in Pakistan are

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30

25

35

20

The art of electroplating was given by

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Faraday

Edison

Thomas Gradam

Brugan

Electronegativity values of the elements F, CI and Br vary

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F > CI > Br

Br > CI > F

Cl > Br > F

CI > F > Br

The main source of natural fibre is

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Animal fibres

Vegetables fibres

Mineral fibres

All of the above

Hydrolysis of ethyl-acetate (ester) has order of reaction :

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3

2

1

Rate of chemical reaction depends upon :

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The number of total collisions per second.

Number of molecules taking part in a chemical reaction.

Number of fruitful collisions per second

Number of fruitless collisions per second.

The oxidation state of Fe in [Fe(CN)₆]^3-is

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+2

+3

+4

-3

1, 3-Dibromopropane reacts with metallic zinc to form

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Propene

Propane

Cyclopropane

Hexane

Which of the following is not a hydrocarbon

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Butane

Methyl benezene

Acetylene

Glucose

Copolymer is

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Nylon-6

Nylon 66

PMMA

Polyethene

The forced which holds together two or more atoms or ions to form a large variety of compounds in called:

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A chemical bond.

An ionic bond.

A covalent bond.

A coordinate bond.

The detection of functional group is called:

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Numerical analysis

Qualitative analysis

Quantitative analysis

Combustion analysis

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

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Ethers

Esters

Anhydride

Amides

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

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13.6

34

68

136

Which of the following species has unpaired electrons in antibonding molecular orbitals

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Which woody raw material is used for the manufacture of paper pupl

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Cotton

Bagasse

Poplar

Rice straw

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

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Aldehydes

Esters

Alcohols

Acids

In formadaldehyde and KOH are heated then we get

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Acetylene

Methane

Methyl alcohol

Ethyl formate

Which are used as essences(flowers)?

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aldehydes

Ketones

alcohols

esters

The boiling point of an a zeotropic mixture of water and ethye alcohol is less than that of water and alcohol. The mixture shows

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That solution is highly saturated

No deviation from Raoult's law

Positive deviation from Raoult's law

Negative deviation from Raoult's law

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Zn

H

S

O

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

Ascorbic acid is a chemical name of

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Vitamin D

Vitamin A

Vitamin C

Vitamin B₆

Relative atomic mass of an element is the mass of the element relative to

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1/12 mass of carbon-12

1/12 mass of carbon

1 mass of hydrogen atom

1/16 mass of oxygen

d-block elements are also called :

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alkali metal

Alkaline earth metals

Transition elements

Electron deficient elements

The elements of group lA are called

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Chalocogens

Halogens

Alkali metals

Alkaline earth metals

Ethylene reacts will 1% cold alkaline KMnO₄to give

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Oxalic acid

Acetone

Ethylene glycol

Formaldehyde

To calculate volume of the solvent, we need to know, the :

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Density of solute

Normality of solute

Mass of solute

Molarity of solute

Formaldehyde is used to make

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Plastics

Medicine

Antiseptic

All of these

In sp²type hybridization the three equivalent sp²orbitals lie in the same plane and at angle of

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0°

60°

120°

180°

Which statement is not correct

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Enzymes catalyst a specific reaction

Enzymes show catalytic activity at a specific temperature

The catalytic activity of enzymes is stopped if optimum pH is changed

The catalytic activity is poisoned by a co-enzymes

Pollutant of automobile exhausts that affects nervous system/produces mental diseases is

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Mercury

Lead

Nitrogen oxide

Sulphuric oxide

Glacial acetic acid freezes to ice like solid it.

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07

17

27

37

Which one of the following does not belong to alkaline earth metals

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Be

Ra

Ba

Rn

Which of the following molecules have multiple bonds

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CH₄

C₂H₄

C₂H₆

CCI₄

The shape of methanol, ammonia and water molecule can be explained by assuming

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Sp³hybridization

Sp²hybridization

Sp hybridization

All of these

______ is used in breathing equipments for mountaineers and in space craft

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Li₂O

BeO

N₂

KO₂

Which is not true with respect to cathode rays?

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A stream of electrons

Charged particles

Move with speed as that of light

Can be deflected by magnetic fields

The correct order of 2nd l.P. of C,N,O and F is

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O > F > N > C

O > N > F > C

C > N > O > F

F > O > N > C

Polymerization of ethane take place at pressure of 100 atm and a temperature of

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200°C

400°C

600°C

800°C

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

According to Mendeleev, the properties of the elements are periodic function of their

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Atomic number

Atomic volumes

Atomic masses

Atomic densities

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4 mole per dm³

2 mole per dm³

0.33 mole per dm³

0.67 mole per dm³

Which of the following method is most appropriate for the manufacture of methane?

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By reduction of CH2CL2

Wurtz reaction

Liquification of natural gas

None of these

The oxidation number of Mn is KMnO₄is

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+2

+4

+6

+7

Which of these reactions is shown by buranone, CH₃COCH₂CH₃

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On warming with acidified potassium dichromative (IV) the solution turns green

On heating with Fehling's reagent a red precipitate is formed

With 2,4-dinitrophenlhydrazine reagent an orange precipitate is formed

With hydrogen cyanide an aldehyde is formed

A nuclophile must

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Be an atom

A group of atoms

Have a lone pair

Be negatively charged

A polymeric substance that is formed in the liquid state and then hardened to a rigid solid is called a:

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Fiber

Plastic

Vanish

Polyamide resin

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

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Amyl acetate

Isoamyl valerate

Octyl acetate

Methyl butyrate

Value of rate constant k is specific for a reaction, and varies from reaction to reaction. The value of k of a reaction changes with

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Time

Temperature

Concentration of reactants

Order of reaction

N₂+3H₂⇌ 2NH_{3 + Heat for above equation, themaximum product will be obtained at :}

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Low temperature at high pressure.

High temperature and low pressure.

High temperature and high pressure.

Low temperature at low pressure.

Which alcohol may be oxidised to a product which react with 2,4-dinitorphenylhydrazine reagent but not with Fehling's reagent

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Butan-1-ol

Butan-2-ol

2-methylpropan-1-ol

2-methylpropan-2-ol

Choose an answer

It decolourises aqueous bromine rapidly

It is insoluble in water

It reduces Fehling's reagent

Two molecules react with each other in the presence of a strong acid

Which is a component of macronutrient?

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Zn

N

Mo

Cl

Addition of solid NaHCO₃in water causes ionization of NaCHO₃its K_a= 4.7 x 10^-1. Then this solution has character

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Acidic

Very weakly basic

Alkaline

Neutral

The atomic radius of hydrogen is 37

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Pecometer

Manometer

Angstrom

Micrometer

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

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1 +α

1 -α

1 + 2α

1 - 2α

In a group form top to bottom, the hardness of alkali metals

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Remains unchanged

Increases

Decreases

None

Essentialα-amino acids are those which are necessary in the diet

Which one is an essentialα-amino acids

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Alanine

Aspartic acid

Glycine

Tryptophan

The method involved for electrolysis of Na or K salts of carboxylic acids

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Sabatier's sendrens reaction

Kolbe's method

Clemmensen

Wolf kishner reduction

The protection of steel by chrome plating is due to

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Cathodic protection

Anodic protection

Covering of steel surface

Formation of alloy with iron

Which of the following elements is most metallic?

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P

As

Sb

Bi

Units of molarity are

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gm/lit

mol/lit

kg/lit

None of these

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

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Zero

100%

50%

Minimum

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

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2

3

4

6

The presence of a double bond in a compound is the sign of

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Saturation

Unsaturation

Substitution

None of above

Plastics are a pollution problem because many plastics

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Are made from petroleum

Are very inflammable

Burn to produce toxic fumes

Decompose to produce toxic products

Outer shells of two elements X and Y have two and six electrons respectively. If they combine, the expected formula of compound will be

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XY

X₂Y

X₂Y₃

XY₂

Vegetable oils are

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Unsaturated fatty acids

Glycerides of unsaturated fatty acids

Glycerides of saturated fatty acids

Essential oils obtained from plants

The function of salt bridge in the galvanic or voltaic cell is to

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Carry out oxidation at anode

To carry out reduction at cathode

Carry out electrolysis

To prevent the net charge accumulation in either of the half cells

Which one of the following is a buffer

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HCI + NaCI solution

CH₃COOH + CH₃COONH₄solution

H₂SO₄+ CaSO₄solution

CH₃COOH + CH₃COONa

Which of the following pair contains isomers of each other

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Propanoic acid and propanone

Acetone and acetaldehyde

Ethyl alcohol and diethyl ether

Methyl alcohol and dimethyl ether

Which of the following is an electrophile

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Bromine

KBr

NH₃

Benzene

Carbonates of alkali metals dissolves freely in water to form

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Acidic solutions

Neutral solution

Alkaline solution

None of these

The number of electron that are paired in oxygen molecule are

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16

12

14

7

Glacial Acetic acid is

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Pure acetic acid at 100°C

Acetic acid mixed with methanol

Pure acetic acid at 0°C

Pure acetic acid above 16.6°C

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

Choose an answer

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

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Methanal

Ethanol

Propanone

Ethanal

N₂and O₂are present in air but they don't react chemically at ordinary conditions of temperature and pressure because it is a

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Spontaneous reaction

Reversible reaction

Exothermic reaction

Non-spontaneous reaction

In which of the following cases, the reaction goes farthest to completion

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K = 10³

K = 10^-2

K = 10

K = 10⁰

Which the increase in carbon number of solubility of an alcohol

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Increases

Decreases

Remains unaffected

None of these

What is the maximum mass of aluminium which can be obtained from 240g of aluminium oxide Al₂O₃?

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26 g

127 g

51 g

108 g