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    1) ENGLISH (10)2) MATH(FSC & BSC LEVEL)(20)

    A. BASIC CALCULUS

    B. DIFFERENTIAL EQUATIONS

    C. COMPLEX VARIABLES

    D. BOOLEAN ALGEBRA

    E. VECTOR ALGEBRA

    F. MATRICES

    G. STATISTICS3) PHYSICS(FSC & BSC LEVEL) (20)

    A. MECHANICS

    B. WAVES

    C. THERMODYNAMICS

    D. ELECTRICITY AND MAGNETISM

    E. LIGHT AND OPTICS

    F. MODERN PHYSICS

    4) ELECTRICAL / ELECTRONICS / TELECOMMUNICATION (50)A. BASIC ELECTRICAL ENGINEERING (APPROX. 45%)

    I. ELECTRIC CIRCUITS

    II. ELECTRIC AND MAGNETIC FIELD THEORY AND APPLICATIONS

    III. DIGITAL LOGIC

    B. ELECTRONICS (APPROX. 20%)

    I. ELECTRONICS

    II. ELECTRONIC CIRCUITS AND COMPONENTS

    C. CONTROLS AND COMMUNICATIONS SYSTEMS APPROX. 15%

    D. POWER APPROX. 20%

    50 MCQS FROM FOLLOWING:

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    PAST PAPER OF PIEAS.

    Past Paper o f PIEAS (2012)

    Maths Portion:

    1) Two dice are thrown. What is the probability that the sum of dots shown is 4 or 6?

    d) 5/18a) 1/4

    b) 1/6

    c) 2/9

    2) A poll is 20 m apart from a man. The man is making an angle of elevation of 45

    degree with the pole head. What is the height of poll?

    a) 15m

    b) 25m

    c) 20m

    d) 17.707m

    3) If -2, 4, 10 are in A.P then which term of the A.P is 148?

    a) 25

    b) 26

    c) 32

    d) 33

    4) If f(x+1/x) = x- 1/x then f(x) =?

    5) If a cylindrical bar has a radius 2 m and height 9 cm and if it is melted and become a

    sphere. What is the radius of sphere?

    a. 3

    b. 6

    c. 9

    d. None

    http://entrytest-preparation.blogspot.com/2013/06/past-paper-mcqs-of-pieas.htmlhttp://entrytest-preparation.blogspot.com/2013/06/past-paper-mcqs-of-pieas.html
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    6) Find dy/dt if x=sqrot7/8 and x^2+ y^3=1 and dx/dt=2.

    a) -4/3 14b) -3/4 14

    c) -4/3 15d) -3/4 14

    [(1-underoot 3 i) /(1+underoot 3 i)]^5 is equivalent toa) (1-undroot 3 i)/2

    b) (1+undroot 3i)/2

    c) (1+3i)/2

    d) none

    8) 7x^2=9y is

    a) parabola

    b) cycloid

    c) hyperbola

    d) ellipse

    9) integral from -1 to 2 of x + modulus (x)

    a) 0

    b) 3c) -1

    d) 2

    10) A cuboid has length y, width 3y and depth y then what is its surface area??

    a) 14y^2

    b) 15y^2

    c) 3y^3

    d) 5y^2

    11) A sphere has radius 6cm. if it is changing at rate 2cm/sec then what will be the rateof change of volume?

    a) 288 pi

    b) 300 pi

    c) 36 pi

    d) 8 pi

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    12) A car starts at 10.00 am at speed of 60km/h and 2nd

    starts one hour later at 80km/h.

    at what time will the 2ndcar overtake the 1st?

    a) 1 pm

    b) 2 pm

    c) 3 pm

    d) will never cross

    13) 3x-4y+11=0

    3x-4y+5=0

    find the minimum distance between the lines.

    14) Equation of circle is x^2 + y^2 +2gx + 6fy = 0.

    What is the equation of tangent passing through the point (-1, 1)

    15) The length of chord of circle represented by x^2+4x+4+y^2+6y+9=9 passing

    through centre is??

    16) Length of diameter of circle represented by equation 2x^2+2y^2-8=0 ??

    Physics Portion:

    1) What is the total current if 6 bulbs of 100 watt are connected to 120 volts?

    2) If 50 N force is used to lift 240 N weight with pulley system. And if weight is lifted 1 m

    by pulling rope 5 m towards us. Whats the efficiency??

    3) A force of 300N lifts a mass of 120kg with help of lever whose length is 2.4 m.

    The distance between fulcrum and mass is

    a) 40cm

    b) 48cm

    c) 80cmd) 171cm

    4) A satellite at 8000 km and where gravity is 6.2 what is it velocity?

    5) What happens to entropy when a solid melts into liquid

    a) increase

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    b) decreases

    c) remains constant

    6)If the equation of a wave exhibiting SHM is : 5sin(.1t-.3x)

    What is phase and whats frequency here

    7) a spring is cut into 3 equal parts. Whats the new spring constant if original was k. a) k/3

    b) 3k.

    c) k

    d) none

    8) The gravitational force of earth is F and its mass is 81 times more than of moon.

    Then the gravitati0nal force of m00n on earth is

    a. FB. F/81

    c. 81F

    d. N0ne

    9) if an object is placed b/w two mirrors then hoe many images will u see?

    10) If green light fall on red rose which colour will u see??

    11) If electron is brought inward towards other electron. ELECTRIC P.E of system?? Increases

    or decrease

    12) on changing direction of velocity and magnetic field, the force experienced by charge changes its

    direction through??

    7) Question was one of these:

    how much time a 250 watt heater take to heat up 1 kg of water from 20 degree c to 50degree c?

    a beaker contain 50 gm water at 20 degree c.how much water having temperature 60

    degree should b added to have an equilbrium temperature of 40 degree c?

    English Portion:

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    1) Some people feel that his. . . . to the president was unnecessary

    a) Allusion

    b) Illusion

    c) Elision

    2) our services..... your expectations.

    a) Excess

    b) Exceed

    c) Accede

    d) Decrease

    3) every human has feet of

    a) Mud

    b) Clayc) Wood

    d) Glass

    4) He is happy after getting job he is like a cat who has . . . in his mouth.

    a) Bug

    b) Rat

    c) Canary

    d) Cat

    5) if s0me0ne seems that he has chip on his shoulder and looking for trouble. What thatmeans he is inclined to

    a) Fight

    b) Run

    c) Cry

    6) The hall........ appauled after the music performance

    a) Audience

    b) Spectators

    c) Bystanders

    d) out lookers

    7) would the guests like dinner. The cooks ...... hard to made it delicious

    a) Worked

    b) Will working

    c) Had worked

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    d) Have worked

    8) Megalopolis means?

    a) Big Police department

    b) Hospital

    c) Market

    d) Big city

    9) Are we____ to leave on vacati0n

    a) All ready

    b) Altogether

    c) All together

    d) except

    10) There is.... too much violence on tv today

    a. Alreadyb. All ready

    c. Altogether

    d. All together

    11) Go to Ahmed autos.you'll get a ____deal.

    A)oblongd

    b)rounded

    c)squared

    d)circled

    12) work :earn/plant

    a)harvest

    b)cultivate

    c)eat

    13) John _____to be a good student

    a)turned up

    b)turned out

    c)turned into

    d)turned in

    14) The 'awan-e-saddar' is ____the parliament house.

    A-behind

    b-infront ov

    c-next to

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    d-above

    2011 Paper:

    if two mirrors are placed perpendicular to each other then the number of images formed will be

    a) 3

    b) 4

    c) 2

    d) 5

    the best chlorinating agent is

    a) SOCl2

    b) PCl5

    c) Cl2

    d) ClO2

    Alkali metals are good

    a) oxidising agents

    b) reducing agents

    c) both

    d) none

    in adiabatic expansion temperaturea) increase

    b) decrease

    c) remain same

    d) none

    1. 0's on right side of non-zero numbers are?

    A.Significant

    B.non-significant

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    C.sometimes significant and sometimes

    D.none of these

    Workspace

    2. What is the magnification when the image of an object through convex lens is formed at its Focal

    length?

    A.1

    B.1.5

    C.2

    D.2.5

    Workspace

    3. Maxima in young's experiment indicate?

    A.bright bands

    B.constructive interference

    C.dark bands

    D.Both a and b

    Workspace

    4. how much heat a 100 watt bulb will generate in 1 hour?

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    A.0 joule

    B.60 joule

    C.3600 joule

    D.360000 joule

    Workspace

    5.If y-component of a force acting in y direction is 6N the x-component will be

    A.6N

    B.12N

    C.zero

    D.none of these

    Workspace

    6. Time seen from ground in clock of airplane?

    A.seems slower

    B.

    seems faster

    C.constant

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    D.unpredictable

    Workspace

    7. Resistance of RCL series circuit at resonance is?

    A.Xc

    B.R

    C.Xl

    D.Xlx R x Xc

    Workspace

    8. Power of RCL circuit at resonance is?

    A.zero

    B.minimum

    C.maximum

    D.none of these

    Workspace

    9. an emf of 10 v is observed in one coil when the current is changing at the rate of 5 As^-1 in the

    other coil. What is the mutual inductance of the coil?

    A.50H

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    B.40H

    C.5H

    D.2H

    Workspace

    10. an electron is placed between two charged plates the upper plate is positively charged and the lower

    plate is negative charged. The electron will

    A.deflect downwards

    B.deflect upwards

    C.go straight

    D.none of these

    Workspace

    11. A spring clock is wound by a key. Which of following is true

    A.neither elastic potential energy nor kinetic energy exists

    B.both elastic potential energy and kinetic energy exist

    C.kinetic energy exists whereas there's no elastic potential energy

    D.elastic potential energy exists whereas there's no kinetic energy

    Workspace

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    12. Rate of change of momentum is

    A.torque

    B.force

    C.time

    D.none of these

    Workspace

    13. If V=100 is applied to RLC series circuit. If 200 watt power is dissipated by passing 4A current. Then

    in the capacitor

    A.Current leads by 90

    B.Current lags by 90

    C.Voltage lags by 60

    D.Voltage leads by 60

    Workspace

    14. For V=Vosint find period

    A.pie

    B.2pie

    C.pie/2

    D.zero

    Workspace

    15. In interference energy ___ destroyed

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    D.copper

    Workspace

    18. wave fronts coming from small light bulb

    A.spherical

    B.cylindrical

    C.plane

    D.none of these

    Workspace

    19. moving charge produces a

    A.magnetic field

    B.electric field

    C.both a and b

    D.none of these

    Workspace

    20. if the grating element is made 1/10th the resolving power will become

    A.1/100 times

    B.1/10 times

    C.100 times

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    D.10 times

    Workspace

    21. if 60 capacitors are connected in series and then in parallel what is the ratio of Cs/Cp=?

    A.250

    B.3600

    C.1/60

    D.1/3600

    Workspace

    22. source of light is

    A.sun

    B.moon

    C.glass

    D.none of these

    Workspace

    23. When wood is replaced by air as dielectric. The capacitance of capacitor

    A.decreases

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    B.increases

    C.remains constant

    D.none of these

    Workspace

    24. at resonance RLC circuit has impedance

    A.inductive

    B.capacitive

    C.R/LC

    D.resistive

    Workspace

    25. Which of the following is not an example of periodic motion

    A.a man walking in street

    B.rolling ball

    C.a moving fan

    D.vibratory motor

    Workspace

    26. energy of alpha and beta particles has the relation:

    A.alpha > beta

    B.alpha < beta

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    C.alpha=beta

    D.depends on source

    Workspace

    27. Newton first law is applicable on

    I)body in motion

    II)body in rest

    A.I only

    B.II only

    C. neither a nor b

    D.both a and b

    Workspace

    28. Two conducting objects, x and y having charge q on them exert force F on each other. now third

    conductor having charge -q is touched with x and removed, the new force between x and y is

    A.

    F

    B.F/2

    C.2F

    D.zero

    Workspace

    29. which has the highest internal resistance

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    A.refrigerator

    B.100 watt bulb

    C.tube light

    D.ceiling fan

    Workspace

    30.entropy is the measure of ________ of a system

    A.heat

    B.kinetic energy

    C.momentum

    D.disorder

    Workspace

    31. scattering of photon by electron is called

    A.photoelectric effect

    B.

    pair production

    C.annihilation

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    D.compton effect

    Workspace

    32. when the source moves towards an observer then its frequency

    A.increase

    B.decrease

    C.remain constant

    D.none of these

    Workspace

    33. which of the following cant be used as a dielectric in a capacitor

    A.wax

    B.iron

    C.air

    D.all of these

    Workspace

    34. in a pure resistive circuit current and voltage are

    A.in phase

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    B.out of phase

    C.current leads

    D.voltage leads

    Workspace

    35. the constant between I and V is

    A.R

    B.1/R

    C.2R

    D.none of these

    Workspace

    36. when a body moves with the speed of light then its mass approaches to

    A.zero

    B.infinity

    C.

    remains same

    D.none of these

    Workspace

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    37. Efficiency of the Carnot's cycle will be 100% if the absolute temp is

    A.+273K

    B.-273K

    C.100K

    D.0K

    Workspace

    38. what happens to bulk of potential energy of a glass that falls from a table and breaks

    A.converted into kinetic energy

    B.wasted in air

    C.converted into sound

    D.consumed in breaking of glass

    Workspace

    39. the earth magnetic field deflects high velocity positive charge towards

    A.north

    B.south

    C.west

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    D.east

    Workspace

    40. In Einstein's theory, the deflection of light is predicted to be exactly ________ as great as it is

    according to Newton's theory

    A.Four times

    B.Thrice

    C.One and a half time

    D.Twice

    Workspace

    41. In hot day white clothes are worn because they are good

    A.absorbers

    B.emitters

    C.reflectors

    D.none of these

    Workspace

    42. Forces in nature always occur in

    A.triplet

    B.quadrupled

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    C.isolation

    D.pair

    Workspace

    43. In F= GMm/R the dimensions of G is?

    A.[M-1L+2T-2]

    B.[M-1L+3T-2]

    C.[M-1L+2T-3]

    D.none of these

    Workspace

    44. Mass of body is 10kg . What will be its weight if body moves 500*10^6 m away from the surface of

    earth?

    A.9.8

    B.0.98

    C.0.098

    D.equivalent to zero

    Workspace

    45. blue colored source is seen Red if

    A.

    source is moving away from

    observer B.

    observer is moving away from

    source

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    C.

    gamma rays effect is

    observed D.none of these

    Workspace

    46. a ballistic missile is

    A.unpowered

    B.unguided

    C.both a and b

    D.none of these

    Workspace

    47. Debroglie wavelength for an electron and proton are Le and Lp respectively. And frequencies are Feand Fp then correct one is

    A.Fe < Fp , Le > Lp

    B.Le < Lp , Fp < Fe

    C.Le < Lp , Fe = Fp

    D.Le > Lp , Fe > Fp

    Workspace

    48. light rays coming from the tube light are

    A.plane

    B.spherical

    C.cylindrical

    D.none of these

    Workspace

    49. when some charge is given to a soap bubble it

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    A.increases in size

    B.decreases in size

    C.remain same

    D.collapses

    Workspace

    50.Which one has the more resistance 500 watt or 40 watt?

    A.40 watt

    B.500 watt

    C.both have equal

    D.depends on teh volatge source

    Workspace

    1. What is the geometric mean btw 9 and 4

    A.6i

    B.-6i

    C.6

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    D.7.5

    Workspace

    2. The inverse of derivation is called

    A.differential

    B.rotation

    C.integration

    D.scaling

    Workspace

    3. if the median of a triangle on a hypotenuse has a length 6 then what is the length of hypotenuse?

    A.36

    B.6

    C.16

    D.12

    Workspace

    4. Derivative of 2x5

    A.10

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    B.10x

    C.10x6

    D.10x4

    Workspace

    5. If (9-n)/n=9 , then n=?

    A.1

    B.10/9

    C.9/10

    D.4/5

    Workspace

    6. if 3x- 1 = 8, then x=?

    A.2

    B.3

    C.

    4

    D.5

    Workspace

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    7. next number of series 5, 8, 11, 14, 17 is

    A.19

    B.20

    C.18

    D.21

    Workspace

    8. 1,4,8,13

    9th number of series is ?

    A.34

    B.43

    C.53

    D.54

    Workspace

    9. Two dies are thrown simultaneously. What is the probability that the sum of numbers shown at the

    top is 5?

    A.1/4

    B.4/5

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    C.1/7

    D.1/9

    Workspace

    10. Modulus of iota is

    A.i

    B.1

    C.-1

    D.-i

    Workspace

    11. Two A.Ms b/w 5 and 11 are

    A.7,8

    B.7,9

    C.6,8

    D.

    6.5,8.5

    Workspace

    12. equation of tangent to hyperbola x2/2 - y2=1 at (2,1) is

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    A.2y + x 3 =0

    B.2x + y +3 =0

    C.2x y 3 = 0

    D.2y - x + 3 = 0

    Workspace

    13.The two lines : 7x + 2y + 3 = 0 and 6y + 21x + 9 =0 are

    A.intersecting

    B.perpendicular

    C.anti-parallel

    D.parallel

    Workspace

    14. Which of the following is the point slope form of the equation

    A.Ax + By = C

    B.y - y 1 = m ( x - x1 )

    C.y = mx + b

    D.

    none of these

    Workspace

    15. sum of reciprocals of 4th root of unity is?

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    D.-i

    Workspace

    18. which of the following is the equation of hyperbola?

    A.x^2/a - y^2/b = 1

    B.x^2 + y^2 = 1

    C.x^2/ a + y^2/b = 1

    D.none of these

    Workspace

    19. If sin(x) =1/2 where s is in 1st quadrant , find the values of tan(2x)

    A.1

    B.-1

    C.1.732

    D.-1.732

    Workspace

    20. How many diagonals can be formed of 7-sided polygon figure?

    A.21

    B.14

    C.19

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    D.23

    Workspace

    21. If f(x) = 1/x2, find f-1(1)

    A.sq. root 2

    B.1/sq. root 2

    C.0

    D.1

    Workspace

    22. A line with point (1, 1) is perpendicular to a line having slope -3/4. Whats the equation of the line?

    A.4x 3y 1 = 0

    B.3x 4y 1= 0

    C.4y 3x 1 = 0

    D.4y + 3x + 1 = 0

    Workspace

    23. There is a rectangle with diagonal 10 cm. And one length is 6 cm. Find the perimeter of the rectangle

    A.30

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    B.28

    C.16

    D.34

    Workspace

    24. The value of sin 13 cos 77 + cos 13 sin 103 =?

    A.sin 26

    B.cos 26

    C.0

    D.1

    Workspace

    25. If a12= 19 and a17= 29 then what is the value of d?

    A.2

    B.3

    C.4

    D.5

    Workspace

    26. If the value of cosine is -0.5. Then what will be the value for half of that angle for sine.

    A.0.866

    B.0.5

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    C.-0.5

    D.0.707

    Workspace

    27. Two chords in a circle are equal distance from the center. The chords are??

    A.proportional

    B.bisectors

    C.perpendicular

    D.congruent

    Workspace

    28. If t1is 3 and t10is 39 then S10is

    A.216

    B.214

    C.212

    D.210

    Workspace

    29. ax2+ bx + c= 0 has only one root if

    A.b=0

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    B.a=0

    C.c=0

    D.ab=0

    Workspace

    30. Sigma n=1 to Infinity (-e)^(-2n)

    A.infinity

    B.0

    C.e^2

    D.(e^2 1 )-1

    Workspace

    31. if x=3y and 3x-2y=7 then y = ?

    A.0

    B.1/2

    C.

    -1

    D.1

    Workspace

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    32. Sum of coefficients in expansion of (x+y)^ 5 is

    A.31

    B.32

    C.33

    D.none of these

    Workspace

    33. f(x)=g(x) and g(x)is inverse of f(x) then what is the value of g'(1)?

    A.0

    B.1

    C.ln 1

    D.e

    Workspace

    34. which one is increasing function in 1st quadrant?

    A.sin x

    B.cos x

    C.e

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    D.e^x

    Workspace

    35. Sum n=0 to infinity of (-3/7)^2n

    A.3/7

    B.9/40

    C.7/3

    D.infinity

    Workspace

    36. Which of the following two lines intersect each other

    A.3x - 6y + 9 = 0 ; 2y x 3 = 0

    B.2x + 5y + 3 = 0 ; x y =9

    C.4x 2 = 2y ; 2x y -1 =0

    D.8x + y = 0 ; - 0.25y = 0.5x

    Workspace

    37. what is the coefficient of a^8 b^4 in the expansion (a+b) ^12 ?

    A.490

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    B.493

    C.494

    D.495

    Workspace

    38. If we throw a stone in water we see ripples (in form of circle). If the rate of change of circumference

    is 12 pie. What is the rate of change of area at the instant when radius is changed to 3 cm.

    A.60 pie

    B.54pie

    C.28pie

    D.36 pie

    Workspace

    Chemistry Portion

    39. PAN is irritating to

    A.nose

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    B.ear

    C.lungs

    D.eyes

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    40. catalysts increase rate of

    A.forward reaction

    B.backward reaction

    C.none

    D.both a and b

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    41. catalyst used in hydrogenation

    A.Fe

    B.Cu

    C.

    Ni

    D.U

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    42. C3H8+5O2==>3CO2+4H2O

    How many moles of O2 required to combust 2 moles of C3H8

    A.1

    B.2

    C.15

    D.10

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    43. In tertiary alkyl halides the halogen is attached to the carbon which is further attached to

    A.3 other carbon atoms

    B.2 other carbon atoms

    C.1 other carbon atom

    D.no other carbon atom

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    44. What is the formula of nitric acid?

    A.H2NO2

    B.HNO

    C.HN3O

    D.HNO3

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    45. Different liquids have _______ vapor pressures at _______ temperature

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    A.different, same

    B.same, different

    C.different, different

    D.same, same

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    46. ethyl alcohol can easily react with

    A.sodium chloride

    B.sodium carbonate

    C.sodium hydroxide

    D.sodium nitrate

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    47. number of hydrogen atoms in formaldehyde is

    A.4

    B.3

    C.1

    D.2

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    48. energy in a spontaneous process

    A.increases

    B.decreases

    C.increases then decreases

    D.none of these

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    49. The relation between V and T was described by which scientist?

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    A.Charles

    B.Boyle

    C.Thomson

    D.Graham

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    50.which of the following series is observed in visible region of electromagnetic spectrum

    A.balmer

    B.bracket

    C.lyman

    D.Pfund

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