Question # 1

For all points (x,y) in fourth quadrant

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x > 0 , y < 0

x > 0 , y > 0

x < 0 , y < 0

x < 0 , y > 0

A point where two of its boundary lines intersect is called

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Corner point

Feasible point

Vertex

Feasible solution

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graph of trigonometric function y = sec x does not meet

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x - axis

y -axis

both axis

None of these

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

1 + 2 + 3 + ...... + n = ______

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What is the conjugate of -7 -2i ?

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-7 + 2i

7 +2i

7 -2i

√53

tan270° =__________;

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0

1

-1

Undefined

A bag contains 3 white, 4 black and 2 red balls. If 2 balls are drawn at random, then the probability that both the ball are white is

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1/18

1/12

1/36

None of these

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0

-1-w²

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1

12

5

29

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

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1

-1

0

I

In R, the multiplicative inverse of a is

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0

1

-a

1/a

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

What is the conjugate of -7 -2i?

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-7 + 2i

7 + 2i

7 -2i

None of these

The set of the first elements of the ordered pairs forming a relation is called its

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Function on B

Range

Domain

A into B

In R, the additive inverse of a is

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0

1

-a

1/a

For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?

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3a2

2a2

2a

-7a

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QUQ'

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The feasible region which can be enclosed within a circle is called

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Bounded region

Convex region

Unbounded region

None

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

f(x) = 3x⁴ -2x² + 7 is:

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an even function

an odd function

an even and implicit function

neither even nor a odd

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A

A'

U

None of these

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The discriminant of the quadratic equation ax²+ bx + c = 0 is

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b²+ 4ac

b²- 4ac

4ac - b²

a²- 4ac

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The probability that a slip of numbers divisible by 4 is picked from the slips of number 1,2,3,4,......10 is

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1/5

2/5

1/10

3/10

If a, b, c are in A.P., then 3^a, 3^b, 3^care in

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A.P.

G.P.

H.P.

None of these

If f(x) = x²-x then f(0) is

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0

1

2

3

If n is any positive integer then 4ⁿ>3ⁿ+ 4 is true for all

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The solution set of the equation 1 + Cos x = 0 is __________

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none of these

Which of the following is the subset of all sets?

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The transport of a square matrix is a

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Row matrix

Column matrix

Square matrix

Null matrix

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45°

30°

75°

60°

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Area ofΔABC=

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ab sinα

1/2 ab sinα

1/2 ac sinγ

1/2 ac sinβ

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If A is a non singular matrix then A^-1= ______

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A^-

A^t

-A

A

f(x) = sin x + cos²x is

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trigonometric function

algebraic function

exponential function

logarithmic function

Two quadratic equation in which xy term is missing and the coefficients of x²and y²are equal, give a linear equation by ______

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Addition

Subtraction

Multiplication

Division

Ifπ≤x≤2π, then cos-1 (cos x)=

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cos x

-x

1/x

-x

The angle AOP which the ray from an observer's eye at O to an object at P at a lower level makes with horizontal ray OA through O is called the

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Angle of depression

Angle of elevation

Acute angle

Obtuse angle

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sec 3x + c

- cosec 3x + c

Range of cot x is ______

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[-1, 1]

R

Negative real numbers

R - {x | - 1 < x < 1}

The solution set of the equation 4 cos²x - 3 + 0 is

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none of these

If f(x) = x²- x then f(-2) is

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4

6

2

0

The distance between the points A(3,1) and B(-2,-4) is

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5

25

10

What is the conjugate of -6 -i

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-6 +i

6 + i

-6 -i

6 -i

The set {Z\{0}} is group w.r.t

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Addition

Multiplication

Division

Subtraction

If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =

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1

12

5

29

The lotus of intersection of perpendicular tangents to the parabola y² = 4ax is:

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Axis of the parabola

Focal chord of the parabos

The tangent at vertex of the parabola

a directrix of the parabola

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Rational

Irrational

Non-real

Zero

The graph of a linear function is

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a circle

triangle

a straight line

none of these

A line segment whose end points lie on a circle is called

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the secant of the circle

the arc of the circle

the chord of the circle

the circumference of the circle

If k2x2 +2hxy- 4y2 =0 represents two perpendicular lines then

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k = 2

k = ±2

k = -2

k ≠0

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2 x 2

2 x 3

3 x 2

3 x 3

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1.5

1.2

8

None of these

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

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A.M

A.P

G.P

G.M

{1, 2, 3, 4,.....} is set of ______

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Natural numbers

Whole numbers

Integers

Rational numbers

60° = ______

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120°=______

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If eccentricity of ellipse becomes zero then it takes the form of

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A parabola

A circle

A straight line

None of these

The term involving x⁴in the expansion of (3 - 2x)⁷is

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120

1512

1250

15120

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The angle between lines xy =0 is

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45°

60°

90°

180°

√-1 b=

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b

2

2b

None of these

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5

-5

none

If a polynomial P(x) is divided by x + a, then the remiander is

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P(a)

P(-a)

P(0)

None of these

The fifteenth term of (3-a)¹⁵ is

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-17a¹²

-945a¹³

-941a¹³

-515a¹²

The zero vector is regarded to be parallel to

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Every vector

Is some cases

Both a,b

None

a + x is ______

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A trinomial

A binomial

A monomial

None of these

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A,. B, C are coincident

A, B, C are collinear

Both A and B

None of these

If B-A≠φ , then n(B-A) is equal to

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n(a)+n(c)

n(c)-n(a)

n(a)-n(c)

None of these

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The length of the tangent from (2, 1) to the circle x²+ y²+ 4y + 3 = 0 is

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If a > 0 they parabola y2 =-4ax lies in

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I and iv quadrant

I quadrant

II and III quadrant

All are incorrect

Which of the following has the same value as i¹¹³?

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i

-1

-i

1

If D = {a} , the P(D) =

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{a}

∅

{∅,{a}}

{∅,a}

x = secθ,y = tanθ are the parametric equations of

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Circle

Hyperbola

Ellipse

parabola

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Principle of equality of fractions

Rule for product of fractions

Golden rule for fractions

Rule for quotient of fractions

The direction cosines of y-axis are

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1, 0, 0

0, 1, 0

0, 0, 1

1, 1, 1

For any set X, X∪X is

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X

X'

Φ

Universal Set

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π/ 4

π/ 6

π/ 3

2π/ 3

The difference of two consecutive terms of an A.P is called the

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Common difference

Common ratio

Geometric series

Geometric mean

The range of the principle cos function is

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Less then 1

Equal to 1

Greater than 1 but less then 2

Greater then or equal to 2

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Symmetric property

Cancellation property w.r.t. multiplication

Reflexive property

Transitive property

The value of x, and y, when (x + iy)²= 5 + 4i

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X = 2, y = 1

X = -2, y = 1

X = 2, y = -1

X = 2, y = 2

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cot x + c

tan x + c

-cot x + c

-tan x + c

for n€ N, 3^{2n + 7 is divisible by}

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7

8

9

10

a ______quantity is one that possesses both magnitude and direction.

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Scalar

Vector

Segment

None of these

Wohler succeeded in obtaining, urea from

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Cyanogen

Ammonium cyanate

Ammonium hydroxide

None of these

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

Reactions that proceed on both sides and never go to completion are called

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Irreversible reactions

Reversible reactions

Opposing reactions

Spontaneous reactions

Polyester resins have special use in:

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Clothing

Paints

Emulsion

Floor covering

Absolute alcohol is obtained by adding rectified apirit in alcohol:

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Water

Na₂CO₃

NaOH

CaO

Micro-nutrients are required in quantity ranging from

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4g-40g

6g-200g

6Kg-200Kg

4Kg-40Kg

Li, Be, B, C, O, Fl Ne are elements of

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Second period

First period

Third period

Fourth period

Which statement is true about a free radical

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An atom with a positive charge

An atom with a negative charge

An atom with a lone pair of electrons

An atom with unpaired electron

The human body can synthesize ______ amino acids

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1

10

20

19

If the rate of decay of radioactive isotope decreases from 200 cpm to 25 cpm after 24 hours, what is its half life :

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8 hours

6 hours

4 hours

3 hours

The rate equation for a reaction is Rate =k[A]. what are unit of K ?

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Mole-1 dm³ S^-1

Mole dm³ S^-1

Moledm³

S^-1

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Zero

253 sec

150 sec

500 sec

Which of the following has greatest tendency to lose electron?

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F

Fr

S

Be

Preparation of ethylbenzene by the reaction of bromobenzene, ethylbromide and sodium is called

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Wurtz reaction

Fitting reaction

Wurtz fitting reaction

None of these

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

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Nitrogen

Carbon

Fluorine

Oxygen

The reaction in which ketone is reduced to the alkane is called

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Kolb

Clemmensen

Cannizzaro

None

Hydrolytic reaction of fats by causic soda is known as

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Acetylation

Carboxylation

Esterification

Saponification

pH of the human blood which is essentially maintained constant due to carbonates, biocarbonates, phosphates etc., is

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7.00

7.25

7.35

7.47

Elevation of boiling point is measured by

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Beckmann's apparatus

Lands Berger's method

Antifreeze apparatus

None of these above

An excess of aqueous silver nitrate is added to aqueous barium chloride and precipitate is removed by filtration. What are the main ion in filtrate?

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Ag⁺ and NO_3- only

Ag⁺ and Ba² and NO^-3

Ba² and NO^-3

Ba² and NO^-3and Cl-

Vital force theory was rejected by

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Berzellius

Kolbe

Wholer

Lavoiser

Which of the following statement is correct for a chemical reaction to occur molecules of substances must

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Collide with each other

Collide with energy more than activation energy

Collide with energy less than activation energy

Collide with high frequency

In electronic watches or electronic calculators the tiny batteries used are

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Alkaline battery

NICAD battery

Fuel cell

Silver oxide battery

Which is the formula of tetra-ammine chloronitro platinum (VI) sulphate?

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[Pt(NH₃)₄(NO₂)]SO₄

[PtNO₂Cl(NH₃)₄]SO₄

[PtCl(NO₂)(NH₃)₄]SO₄

[Pt(NH₃)₄(NO₂)Cl]SO₄

Transition elements are called so because:

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Form interstital sompounds

have high m.p

In between 's' and' 'p' block elements

All of these

Write the name of following compound

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5 - methyle - 2- hexene

2 - methyle hexene

4 - ethyle - 2 - methyle hexene

3 - ethyle - 3 - methyl hexene

The total number of inner transition elements in the periodic table is

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10

14

28

30

DDT is

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Biodegradable pollutant

Nondegradable pollutant

Not a pollutant

An antibiotic

Which is the correct electronic configuration of Cr - 24

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1s², 2s², 2p⁶, 3s², 3p⁶, 3d⁴, 4s²

1s², 2s², 2p⁶, 3s², 3p⁶, 3d³, 4s², 4p¹

1s², 2s², 2p⁶, 3s², 3p⁶, 3d⁵, 4s¹

1s², 2s², 2p⁶, 3s², 3p⁶, 3d⁵, 4p¹

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

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Mercuric oxide

Mercurous oxide

Mercuric chloride

Mercurous chloride

Which is not an enzyme

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Transverses

Lipase

Lyase

None of these

Hydrolysis of alkyl nitriles is done to get carboxylic acids in the presence of

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Mineral acids

Mineral alkalies

Organics acids

Minerals acids & alkalies

Grignard reagent on reaction with a ketone forms

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Tertiary alcohol

Secondary alcohol

Primary alcohol

Carboxylic acid

Al is the most element in earth crust:

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O

Si

Al

Pb

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 elements like boron, chlorine, cobalt, copper etc are added in small amounts to the soil. They are called

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Macrountrients

Trace elemetns

Micronutrients

Additives

Choose an answer

Rate = k[FeCl₃] [Kl]²

Rate = k[Fe⁺³][Cl^-1] [Kl]

Rate = k[Fe⁺³] [Cl^-1][K;]

Rate = k[Kl]³[FeCl₃]°

Corrundam is ore of:

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Li

Be

B

Al

Which is a good nucleophile?

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F^-1

Cl^-1

Be^-1

I^-1

Choose an answer

1

10

5

0.33

Which of the element is not alkali metal

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Lithium

Rubidium

Francium

Magnesium

Coordination sphere may be:

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Cationic

Anionic

Neutral

All above

5g of glucose is dissolved fro 100 cm of solution. Percentage of solution is :

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5 % v/w

5 % w/v

5 % w/w

Hybridized in oxygen is:

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sp

sp²

sp³

dsp³

As it passes into food chain, the concentration of DDT

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Remains same

Decreases

Increases

Unpredictable

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

Number of neutrons in heavy hydrogen atom is

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0

1

2

3

The major reaction occurring in the engines of automobiles is

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Oxidation

Reducing

Combustion

Decomposition

Which of the following is an aromatic compound

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Propanol

Cyclohexane

Acetone

Benezene

Lime, calcium oxide, is used in agriculture for

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Adding ca metal in soil

Making soil acidic

Neutralizing acidic soil

Adding oxygen to soil

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

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0°

60°

120°

180°

DNA has deoxyribose, a base and the third component is

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Phosphoric acid

Ribose

Adenine

Thymine

In the atmosphere, O₂is about

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10%

15%

21%

25%

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

Electronic configuration of Cu⁺²is

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4S², 3d⁹

4s^-1, 3d¹⁰

4S⁰, 3d⁹

None of these

C- X bond is strong in

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CH₃Cl

CH₃Br

CH₃F

CH₃I

1 mole of N₂and 2 moles of H₂are allowed to react in a 1 dm³vessel. At equilibrium 0.8 mole of NH₃is formed. The concentration of H₂in the vessel is

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0.6 mole

0.8 mole

0.2 mole

0.4 mole

Alcohol can be denaturated by adding:

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Acetone

Methanol

Pyridine

All

The self linking of carbon atoms is called

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Chelation

Isomerism

Catenation

None of the above

At present the number of fertilizers plants in Pakistan are

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10

12

14

20

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

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2-

4

1

6

Ethyl alcohol reacts with acetyl chloride to form

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Ethyl chloride

Acetic acid

Methyleacetate

Ethyleacetate

______ is called milk of magnesia

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NaOH

KOH

LiOH

None

Isotopes differ in the

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Number of neutrons

Number of protons

Number of electrons

Number of atoms

In an ooctahedral crystal field splitting, the number of orbitals pushed down in energy is

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3

2

5

Zero

Which of these polymers is a synthetic polymer?

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Animal fat

Starch

Cellulose

Polyester

RNA is a polymer of nucleotide which consist of three components. Which one is not the component in the nucleotide of an RNA

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D-Ribose

Wracil base

Prosphate group

Thyamine base

Vant Hoff's factor of Ca(NO₃)₂is

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1

2

3

4

The third line of the Balmer series, in the emission spectrum of the hydrogen atom,is due to the transition from the

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Fourth Bohr orbit to the first Bohr orbit

Fifth Bohr orbit to the second Bohr orbit

Sixth Bohr orbit to the third Bohr orbit

Seventh Bohr orbit to the third Bohr orbit

Ketons are prepared by the oxidation of

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Primary alcohol

Secondary alcohol

Tertiary alcohol

None of these

Which of the following will affect the rate :

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First step of reaction.

Last step of reaction.

Rate determining step.

Fastest step.

Simple sugars are :

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Monosacchrides

Disaccharides

Oligo saccharides

Trisaccharides

Which acid is used in the manufacture of synthetic fibre

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Formic acid

Phthalic acid

Carbonic acid

Acetic acid

How many zones through which the charge passes in a rotary kiln

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4

3

2

5

Phosphorous helps the growth of

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Root

Leave

Stem

Seed

Formic acid is given names from Latin word a "formic" which means:

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Red out

Vinegar

butter

Milk

Which of the following is weakly acidic in nature

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Alcohol

Phenol

Aidehyde

Amide

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

An element in +3 oxidation state has the electronic configuration (Ar) 3d³. Its atomic number is

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24

23

22

21

According to Raoult's law

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Relative lowering of V.P. is equal to mole fraction of solute

The lowering of V.P. is directly proportional to mole fraction of solute

V.P. of solvent above solution is equal to product of V.P. of pure solvent and mole fraction of solvent ins solution

All of the above

White P when boiled with strong solution of caustic soda produces

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Phosphine

Posh acid

Phosphorous acid

None

Splitting of spectral lines of the hydrogen atom under the influence or magnetic field is called

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Stark effect

Zeeman effect

Compton effect

Photoelectric effect

Which one of the followings is a heterocyclic compound

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Cyclohexanol

Phenol

Pyridine

Anthracene

Benzene was discovered by Michael Faraday's in

Choose an answer

1824

1825

1826

1827

The osmotic pressure of solution increases if

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Temperature is decreased

Solution constant is increased

Number of solute molecules are increased

Volume is increased

With increasing principle quantum number, the energy difference between adjacent energy levels in H atom

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Decreases

Increases

Remains constant

Decreases for low value of Z and increase for higher value of Z

The elimination of hydrogen halide from adjacent carbon atoms is called

Choose an answer

Dehydrogenation

Hydrogenation

Dehydrohalogenation

Hydrohalogenation

De halogenatiion of tetrahalides happens in the presence of active metal like

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Zn

Mg

Both a and b

None of them

Elimination bimolecular reactions usually obey

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First order kinetics

Second order kinetics

Third order kinetics

Zero order kinetics

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

Which is non typical transition element :

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Ni

Co

Y

Fe

Choose an answer

2-bromonitrobenzene

2-nitrobromobenzene

1-bromonitrobenzene

1-nitrobromobenzene

Internal energy of a system is equal to

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Kinetic energy of particles

Potential energy due to binding forces between particles

Sum of kinetic energy plus potential energy of the particles

Heat contents

Cl₂reacts with CS₂in presence of AlCl₃to form

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CHCl₃

CCl₄

C₂H₅Cl

C₂H₆

The percentage by weight of NaCl, if 6.0 g of NaCl is dissolved in 120 g of water is

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10.5 %

5%

8.02%

11.5%

Phenol is also known as

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Acetic acid

Carbolic acid

Tararic acid

Trichloroacetic acid

The monomeric units of starch is/are

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Glucose

Fructose

Glucose and fructose

Mannose

The development of disagreeable odur in fats or oil is called

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Fragrance

Perfume

Rancidity

Smell

The driving force for making a bond is

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To attain noble gas electronic configuration

To make soled compounds

To make different compounds

To make gaseous substances

Polycyolic aromatic hydrocarbons are taught to be

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Disinfectant

Carcinogenic

Helpful

Reactive

Fe⁺³and Mn²⁺are strong paramagnetic because the number of unpaired electrons in each is

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4

5

6

7

BOD is the oxygen demand with in days(s):

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Four

Two

Three

Five

Which is not the form of silica?

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Amethyst quatz

Rose quatz

Smoky

None of these

Theα-carbon of 19 out of 20α-amino acids found in protein is chiral or asymmetric. Hence they are optically active. Only one of the 20α-amino acids is not optically active which one is the

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Proline

Glycine

Hitidine

Alanine