Question # 1

We solve the system of non-homogeneous linear equations by

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a and b

b and c

c and a

a,b and c

The set of integer is

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Finite group

A group w.r.t addition

A group w.r.t multiplication

Not a group

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The equation ax²+ 2hxy + by²+2gx + 2fy + c =0 represents an ellipse if

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The ellipse and hyperbola are called

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Concentric conics

Central conics

Both a b

None

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additive property

multiplicative property

additive identity

multiplicative identity

A coin is tossed. If head comes up, a die is thrown but if tail comes up, the coin is tossed again. The probability of obtaining a head and an even number is

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1/8

2/8

3/8

None of these

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(a+bi) - (c+di)=

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(a+b) = (c+d)

(a+c) + i(b+d)

(a - c) + (c- d)i

(a - c)+ (b - d)i

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1

-1

A die is thrown, the probability that the dots on the top are prime numbers or odd numbers is

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1/2

2/3

1/3

2/5

The angle between lines xy =0 is

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45°

60°

90°

180°

The modulus of 12-5i is:

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7

13

√7

119

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If A⊆ B, and B is a finite set, then

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n (a) < n(B)

n(B)<(A)

n(A)≤ n (B)

n(A)≥ n(B)

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Less then 1

Equal to 1

Greater than 1 but less then 2

Greater then or equal to 2

The set { {a, b} } is

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Infinite set

Singleton set

Two points set

Empty set

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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

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

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(0, -2)

(1, -3)

(2, 2)

(3, 0)

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Rational

Irrational

Non-real

Zero

The set {-1,1} is

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Group under the multiplication

Group under addition

Does not form a group

Contains no identity element

The domain and range of a trigonometric function can be allocate by their

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graph

Continuity

Discontinuity

Periods

The point P (5,8) and the origin lie on the side of the line 3x+ 7y+ 15 =0

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Same side

P above and origin below

Opposite side

P below and origin above

5 unbiased coins coins are tossed simultaneously. The probability of getting at least one head is

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1 / 32

31 / 32

1 / 16

None of these

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

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3, -3, 11

3, 3, 11

-3, 3, -11

-3, -3, 11

The number of permutation that can be formed from the letters of the word OBJECT is

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700

600

720

620

A series consisting of an unlimited number of terms is termed as an

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Finite sequence

Infinite sequence

^{Infinite series}

geometric sequence

The number of values of x in the interval [0, 5π] satisfying the equation 3 sin²x - 7 sinx + 2 = 0 is

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0

5

6

10

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If A = [aij]mxpand B =[aij]pxnthen order of BA is

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m x n

p x n

n x m

None of these

The general equation of circle x³ + y³ + 2gx + 2fy + c = 0 , contains:

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Three independent variables

Two independent conntants

Three indepentent parameters

Three independent constants

The domain of a finite sequence is a

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Set of natural numbers

R

Subset of N

Proper subset of N

Two unbiased dice are thrown. The probability that the total score is > 5 is

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1 / 18

7 / 18

13 / 18

11 / 18

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

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Symmetric

Hermition

Skew-symmetric

None

F(x) = x^xdecreases in the interval

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(0, e)

(0, 1)

(-∞,0)

None

y=0 of the parabola y² = 4ax is the

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equation of directirx

Equatio of the tangent

Equation of axis

equation of latus rectum

The point where the axis meets the parabola is called

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Directrix

Foucu

Chord

Vertix

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-8

8

8i

32

In R, the multiplicative inverse of a is

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0

1

-a

1/a

If cos 20°=K and cos x=2 k²-1, then the possible values of x between 0° and 360° are

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140°

50° and 140°

50° and 130°

40° and 320°

If A(a,b) lies on 3x +2y =13 and point B(b,a) lies on x-y =5 then equation of AB is

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x- y= 5

x+ y+ =5

x+ y= -5

5x +5y =21

What is the period of cos 6x =?

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π/2

π/3

π/4

π

The transport of a rectangular matrix is a

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Square matrix

Rectangular matrix

Row matrix

Column matrix

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none of these

If the roots of ax²+ bx + c = 0 (a > 0) be greater than unity, then

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a + b + c = 0

a + b + c > 0

a + b + c < 0

None of these

The tangents drawn from the point P to a circle are imaginary if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

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Associative law of addition

Commutative law of addition

Additive identity

Closure law of addition

H.M. between 3 and 7 is

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The distance between the points (0 , 0) and (1, 2) is

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5

0

3

2.333....is a

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Irrational no

Complex no

Rational no

None of these

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The distance of the point (-2 , -3) from y-axis is

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2

-2

3

-3

The line y = 2 x + c is a tangent to the parabola y²= 16 x if c equals

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-2

-1

0

2

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The roots of ax2 + bx + c = 0 are always unequal if

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b2 - 4ac = 0

b2- 4ac ≠ 0

b2- 4ac > 0

b2- 4ac ≥ 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

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A

A'

U

A A'

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

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Interesect

touch externally

touch internally

do not touch

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The law of sines can be used to solve oblique triangle when following information is given:

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Two angles and a side

Two sides and an angle opposite one of the given sides

Two sides and the angle between two sided

Option a and b

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Which is the proper rational function

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An equation of the form ax + by = k is homogeneous linear equation when

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b = 0, a = 0

a = 0,b ≠ 0

b = -0,a≠ 0

a≠ 0,b≠ 0, k = 0

The sum of indicated terms of a sequence is called

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Arithmetic series

Series

Harmonic series

None of these

The constant distance of all points of the circle from its centre is called the

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Radius of the circle

Secant of the circle

Chord of the circle

Diameter of the circle

Name the property used in 4 + 9 = 9 + 4

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Associative property of addition

Commutative property of addition

Distributive property

Additive identity

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

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Number of combination of zero or more things out of n different things

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nPn

nPr

nCr

2n

If cos (2 sin-1 x) = 1/9 , then what is the value of x?

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1/3

-2/3

2/3

2/3 , -2/3

The quadratic equation 8 sec2θ - 6 secθ +1 =0 has

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Infinitely many roots

Exactly two roots

Exactly four roots

No roots

Tangent is a periodic function and its period is ______

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2π

3π

π

4π

By expressing sin 125° in terms of trigonometrical ratios, answer will be

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sin 65° = 0.9128

sin 55° = 0.8192

sin 70° = 0.5384

sin 72° = 0.1982

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

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1

4

8

12

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If A is singular then |A| = ______

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1

0

2

None of these

cosθ/2=

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Every set is an improper subset of

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Empty set

Equivalent set

Itself

Singleton set

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A finite non-empty set

Null set

Both a and b

None of these

The graph of a quadratic function is

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Circle

Straight line

Parabola

Triangle

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15

15 i

-15 i

-15

tan(π-θ)=_____;

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tanθ

cotθ

-tanθ

-cotθ

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for n€ N, 3^{2n + 7 is divisible by}

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7

8

9

10

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What is the axis of the parabola y²= 4ax?

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x = 0

y = 0

x = a

y = 0

The eccentricity of the conic 9x²- 16y²= 144 is

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4/5

5/4

4/3

3/4

An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

None of these

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none of these

If x < y, 2x = A, and 2y = B, then

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A = B

A < B

A < x

B < y

If sin x + sin²x = 1, then the value of Cos¹²x + 3cos¹⁰x + 3cos⁸x + cos⁶x + 2 cos⁴x + cos²x-2 is equal to

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0

1

2

sin²x

Mercury is the only metal which is liquid at 0°C. this is due to its

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Very high ionization energy and weak metallic bond

Low ionization potential

High atomic weight

High vapour pressure

Group VA of the periodic table consists of the elements N, P, As, Sb and Bi, On passing from N to Bi, the oxides of the elements of general formula M₂O₃become

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Stronger reducing agents

More ionic

More basic

More volatile

C₆H₁₂O₆ is molecualr formula of:

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Glucose

Dextrose

Fructose

All of these

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

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N₂O

NO

NO₂

None of these

Primary carbon attaches with other hydrogen atoms directly:

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One

Two

Three

At least one or more than it

Preparation of vegetable ghee involves

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Halogenations

Hydrogenation

Hydroxylation

Dehydrogenation

The solubility product of AgCl is 2.0 x 10^-10mol²dm^-6The maximum concentration of Ag⁺ions in the solution is

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2.0 x 10^-10mol dm^-3

1.41 x 10^-5mol dm^-3

1.0 x 10^-10mol dm^-3

4.0 x 10^-20mol dm^-3

Which of the following reagent will react with both aldehyde and ketones?

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Grinard's reagent

Tollen's reagent

Fehling's reagent

Benedict's reagent

The value of R (Rydberg's constant) is _______ m-1

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1.0974 x 107

1.0842 x 107

1.082 x 10-7

Both a and b

The oxides of electronegative elements are

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Basic

neutral

Acidic

Amphoteric

The number of paper industries in Pakistan are

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30

25

35

20

Which of the following does not give iodoform test?

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Ethanol

Ethanal

Acetophenone

Bezophenone

Which gasses are produced from landfills

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NH₃

H₂S

N₂

All of these

The hydrocarbon used for polymerization is

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Alkanes

Alkenes

Alkynes

All of above

Orbitals having same energy are called

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Hybrid orbitals

Valence orbitals

Degenerate orbitals

D-orbitals

Specific conductivity of a solution

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Increases with dilution

Decreases with dilution

Remains unchanged with dilution

Depends on mass of electrolyte

How many mole of acidfied FeSO₄solution can be completely oxidized by one mole of KMNO₄?

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10

5

6

2

Acidification of the soils due to addition of synthetic nitrogen fertilizer, is corrected by using

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Gypsum

Sodium nitrate

Limestone

Potassium nitrate

Which statement is true for Na and Na⁺

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Size of Na is smaller than Na⁺

Size of Na is greater than Na⁺

Both have same properties.

Both have equal sizes.

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

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Acids

Acid chloride

Alkyl halide

Benzene

Among the nitrogen containing fertilizer, the one with about 82% nitrogen content is

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Ammonium nitrate

Ammonia

Ammonium phosphate

Ammonium sulphate

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

Ethyl alcohol is industrially prepared from ethylene by

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permanganate oxidation

Catalytic reduction

Absorbing in H₂SO₄followed by hydrolysis

Fermentation

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

The chemist who synthesized urea form ammonia cyanate was:

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Berzelius

Kolbe

Wohler

Lavoiser

acetylene can be converted into-while passing through a Cu-tube at 300°C:

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Glyoxal

Vinyl acetylene

Vinyl alcohol

Benzene

In purification of potable water the coagulant used is

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Nickle sulpahte

Copper sulpahte

Barium sulpahte

Alum

The most reactive compound for electrophilic nitration will be

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Benzyl chloride

Benzoic acid

Nitrobenzene

Chlorobenzene

Meta directing group decreased the ----------- of benzene ring

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Physical activity

Chemical reactivity

Density

None

CFCs destroy ozone layer. How many ozone molecule a chlorine free radical can destroy

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10,000

20,000

100,000

50,000

Formation of PVC form vinyl chloride is an example of

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Substitution reaction

Addition polymerization

Condensational reaction

Aldol condensation

Which of these polymers is a synthetic polymer

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Animal fat

Starch

Cellulose

Polyester

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Reversible reaction

Irreversible reaction

Spontaneous reaction

None of these

To determine the rate of reaction chemically a graphical method is applied. A graph is plotted between the amount or reactant decomposed or product formed against the time. The rate d_x/d_tat any time is equal to

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k

Tangentθ

1/a, a is initial conc.

1/a²

Which of the following phenomena will occur when two atoms of the elements having same spin of electron approach for bonding?

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Orbital overlap will not occur

Bonding will not occur

Both (A) and (B) are correct

None of the above are correct

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

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Acetic acid

Salicaylic acid

Formine acid

Benzoic acid

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

Benzene is obtained by fractional distillation of

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Heavy oil

Anthracene oil

Middle oil

Light oil

Which of the following has greatest tendency to lose electron?

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F

Fr

S

Be

The solutions of NaCl and KCl are prepared separately by dissolving same amount of solute in water, which of the following statements is true fro these solutions ?

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KCl solution will have higher boiling point than NaCl solution.

Both the solutions have same boiling points.

KCl and NaCl solutions possess same vapour pressure.

KCl solution possesses lower freezing point than NaCl solution.

Glyptal polymer is obtained from glycerol on reacting with

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Malonic acid

Phthalic acid

Maleic acid

Acetic acid

Which of the atoms has 1s², 2s², 2p_x²2p¹_y2p¹_zconfiguration

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Nitrogen

Carbon

Fluorine

Oxygen

What is the formula of asbestos?

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CaMg₃(SiO₃)₄

CaSiO₃

Na₂SiO₃

Mg₃H₂(SiO₃)₄

An electrochemical cell is based upon

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Acid-base reaction

Redox reaction

Nuclear reaction

None of the above

18 g glucose is dissolved in 90 g of water. The relative lowering vapor pressure is equal to :

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1/5

5.1

1/51

6

Poly hydroxyl compounds of aldehyde ketones are:

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Carbohydrates

Protiens

Fats

Lipids

Sulphur dioxide affects

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Cell wall

Plasmodesmata

All membrane systems

Nucleus

Pure water does not conduct electricity because it

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Has low boiling point

Is almost unionized

Is neutral

Is readily decomposed

For every reaction occurring in the body three is at least one type of

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Enzyme

Vitamin

Protein

Amino acid

When carbon dioxide is passed through the R - Mg - X is produced

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Any carboxylic acid

Propanoic acid

Propanedioic acid

None of these

Which of the following is most electronegative?

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Carbon

Silicon

Lead

Tin

The electron releasing effect of methyl group is significant and it makes ring a good

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Electrophilic

Nucleophilic

Nucleophobic

Hydrophobic

Which if the following has the highest freezing point at one atmosphere

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0.1 M NaCI

0.1 M sugar solution

0.1 M BaCI₂

0.1 M FeCI₂solution

Which is not interstitial hydride

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LaH

VH

TaH

None

Which of the following is a characteristic of a reversible reaction?

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It never proceeds to completion

It can be influenced by a catalyst

It proceeds only in the forward direction

Number of moles of reactants and products are equal

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

Toluene is also called

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Hydroxyl benzene

Methyl benzene

ethyl benzene

None

The structure of white phosphorus is

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Square planar

Pyramidal

Tetrahedral

Trigonal planer

Compounds of carbon and hydrogen in which the tetra valency of carbon is fully satisfied are called,

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Saturated

Un-saturated

Magnetic

Para-magnetic

Ozone hole refers to

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Hole in ozone layers

Reduction in thickness of ozone layer in stratosphere

Reduction of thickness of ozone in troposphere

Increase concentration of ozone

95% ethanol is called :

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Rectified ether.

Diesel.

Rectified spirit.

Petrol.

What is formed when propanone is refluxed with an anhydrous solution of NaBH₄

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Propanal

Propan-1-ol

Propan-2-ol

Propane

Complex protein molecules which catalyses the organic reactions in the living cells are called

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Living organisms

Enzymes

Viruses

Bacteria

which one of the following is a heteroheneous catalysis

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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

S-block elements consist of

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Alkali metals

Alkaline earth metals

Alkali and alkaline earth metals

None of these

Acetic acid is miscible in:

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Water

Alcohol

Either

All of these

A smuggler could not carry gold by chemically depositing iron on the gold surface since

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Gold is denser

Iron rusts

Gold has higher reduction potential then iron

Gold has lower reduction potential then iron

Which of the following alkyl halides is used as a mathylating agent

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CH₂H₅l

CH₃l

C₂H₅Pr

C₂H₅Cl

The concentration units independent of temperature would be

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Normality

Mass-volume precent

Molality

Molarity

Methanol and ethanol can be distinguished by

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Iodoform test

Iucas test

Dichromate/H₂SO₄oxidation test

Flame test

Williamson's synthesis is used to prepare

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Diethylether

Phenolphthalein

Hydrogenation

Bakelite

According to Le-Chatelier's principal, adding heat to a solid and liquid in equilibrium will cause the

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Amount of solid to decrease

Amount of liquid to decrease

Temperature to rise

Temperature to fall

Pressure volume work is

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Cotton is ______% cellulose

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90

100

99

30

The OH group present in acids may be replaced by CI atom on treatment with

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PCI₅

SOCI₂

Both of them

None of the above

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Acidic amino acid

Basic amino acid

Neutral amino acid

None of these

The shape of gaseous SnCl₂is

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Tetrahedral

Linear

Angular

T-shaped

First atomic theory was put forward by an English school teacher:

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Maxewell

Newton

Sanger

John Dalton

When methane reacts with Cl₂in the presence of diffused light the products obtained are

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Chloroform only

Carbon tetrachloride only

Chloromethane and dichloromethane

Mixture of a, b, c

The treatment of benzene with isobutene in the presence of sulphuric acid give

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isobutyl benzene

tert-Butyl benzene

n- Butyl benzene

no reaction

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

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O₂gas

H₂gas

Na metal

Na₂O

The hydrocarbons having double bonds normally end with suffix

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Ane

Ene

Yne

Oic

The organic compounds containing Ph--OH group are called:

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Phenol

Aldehyde

Ketones

Carboxylic acids

The uncertainty principle was stated only

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De Brogilie

Heinsenberg

Einstein

Schrodinger

Dehydration of ethyl alcohol yields

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Aldehyde

Ketone

Acid

Alkene

A filtration process could be very time consuming if it were not aided by a gentle suction which is developed:

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If the paper covers the funnel up to its circumstances

If the paper has got small sized pores in

If the stem of funnel is large so that it dips in to filtrate

If the paper fits tightly.

With increases of 10°C temperature the rate of reactiondoubles. This increase in rate of reactionis due to :

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Decrease in activation energy or reaction.

Decrease in number of collisions between reactant molecules.

Increase in activation energy of reactants.

Increase in number of effective collisions

Geographical survey of Pakistan estimates about billion tons of coal in Pakistan:

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182

183

184

185

All the following decompose easily on heating to give oxygen except

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Lead nitrate

Potassium chlorate

Mercuric oxide

Manganese dioxide

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

Which of the following is commonly called polyamide

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Nylon

Rayon

Terylene

Oridon

Density of aluminium is (g cm^-3):

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B

Al

Si

Ge

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Br_2(aq)

2, 4-dinitrophenylhydrazine

NaBH

Tollen's reagent

Which of the following molecules has unpaired electrons in anti-bonding molecular orbitals?

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O₂

N₂

Br₂

F₂

A set of compounds in which reactivity of halogen atom in the ascending order is

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Chlorobenzene, vinyl chloride, chloroethane

Chloroethane, chlorobenzene, vinyl chloride

Vinyl chloride,chlorobenzene chloroethane

Vinyl chloride, chloroethane,chlorobenzene

N₂3H₂⇌ 2NH₃

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

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By adding NH_3.

By removingH_2.

By decreasing pressure.

By increasing pressure.

Al³⁺is a symbol for aluminium

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Atom

Ion

Cation

Anion

Which reaction sequence would be best to prepare 3-chloro-aniline from benzene?

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Chlorination, nitration, reducing

Nitration, chlorination, reducition

Nitration, reduction,chlorination

Nitration, reduction, acylation, chlorination, hydrolysis

The charge over mass ratio of electron is:

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1.6 x 10^-1 C Kg^-1

9.1 x 10^-31 C Kg^-1

1.7588 x 10¹¹ C Kg^-1

6.62 x 10^-34 C Kg^-1

Acetic anhydride is obtained form acetyl chloride by the reaction of

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P₂O₅

H₂SO₄

CH₃COONa

CH₃COCH₃