1) ENGLISH (10) 2) MATH(FSC & BSC LEVEL)(20) A. B. C. D. E. F.
BASIC CALCULU CALCULUS S DIFFERENTIAL EQUATIONS COMPLEX VARIABLES BOOLEAN ALGEBRA VECTOR ALGEBRA MATRICES STATISTICS
G. 3) 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 / TELECOMMUNICAT TELECOMMUNICATION ION (50) A. BASIC ELECTRICAL ENGINEERING (APPROX. 45%) I. ELECTRIC CIRCUITS II. ELECTRIC AND AND MAGNETIC FIELD THEORY AND AND APPLICATIONS 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:
PAST PAPER OF PIEAS. Past Paper o f PIEAS (2012)
Math’s Portion:
1) Two dice are thrown. What is the probability that the sum of dots shown is 4 or 6? d) 5/18 a) 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
PAST PAPER OF PIEAS. Past Paper o f PIEAS (2012)
Math’s Portion:
1) Two dice are thrown. What is the probability that the sum of dots shown is 4 or 6? d) 5/18 a) 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
6) Find dy/dt if x=sqrot7/8 and x^2+ y^3=1 and dx/dt=2. a) -4/3 √14 b) -3/4 √14 c) -4/3 √15 d) -3/4 √14
[(1-underoot 3 i) /(1+underoot 3 i)]^5 is equivalent to a) (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) 3 c) -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 rate of change of volume? a) 288 pi b) 300 pi c) 36 pi d) 8 pi
12) A car starts at 10.00 am at speed of 60km/h and 2 nd starts one hour later at 80km/h. at what time will the 2 nd car overtake the 1 st? 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. What’s 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) 80cm d) 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
b) decreases c) remains constant
6)If the equation of a wave exhibiting SHM is : 5sin(.1t-.3x) What is phase and what’s frequency here 7) a spring is cut into 3 equal parts. What’s 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. F B. 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 50 degree 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:
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) Clay c) 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 that means 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
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. Already b. 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
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 temperature a) increase b) decrease c) remain same d) none
1.
0's on right side of non-zero numbers are?
A.
B.
Significant
non-significant
Not
Click give to S Test auto Don'
C.
D.
sometimes significant and sometimes
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.
B.
C.
D.
1
1.5
2
2.5
Workspace
3.
Maxima in young's experiment indicate?
A.
B.
C.
D.
bright bands
constructive interference
dark bands
Both a and b
Workspace
4.
how much heat a 100 watt bulb will generate in 1 hour?
A.
B.
C.
D.
0 joule
60 joule
3600 joule
360000 joule
Workspace
5.
If y-component of a force acting in y direction is 6N the x-component will be
A.
B.
C.
D.
6N
12N
zero
none of these
Workspace
6.
Time seen from ground in clock of airplane?
A.
B.
C.
seems slower
seems faster
constant
D.
unpredictable
Workspace
7.
Resistance of RCL series circuit at resonance is?
A.
B.
C.
D.
Xc
R
Xl
Xl x R x Xc
Workspace
8.
Power of RCL circuit at resonance is?
A.
B.
C.
D.
zero
minimum
maximum
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
B.
C.
D.
40H
5H
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.
B.
C.
D.
deflect downwards
deflect upwards
go straight
none of these
Workspace
11.
A spring clock is wound by a key. Which of following is true
A.
B.
C.
D.
neither elastic potential energy nor kinetic energy exists
both elastic potential energy and kinetic energy exist
kinetic energy exists whereas there's no elastic potential energy
elastic potential energy exists whereas there's no kinetic energy
Workspace
12.
Rate of change of momentum is
A.
B.
C.
D.
torque
force
time
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.
C.
Current leads by 90
Voltage lags by 60
B.
D.
Current lags by 90
Voltage leads by 60
Workspace
14.
For V=Vosint find period
A.
B.
C.
D.
pie
2pie
pie/2
zero
Workspace
15.
In interference energy ___ destroyed
A.
B.
C.
D.
May be
will be
can be
cannot be
Workspace
16.
Speed of sound is greatest in
A.
B.
C.
D.
glass
water
wood
plastic
Workspace
17.
Speed of sound is greatest in
A.
B.
C.
plastic
wood
water
D.
copper
Workspace
18.
wave fronts coming from small light bulb
A.
B.
C.
D.
spherical
cylindrical
plane
none of these
Workspace
19.
moving charge produces a
A.
C.
magnetic field
both a and b
B.
D.
electric field
none of these
Workspace
20.
if the grating element i s made 1/10th the resolving power will become
A.
B.
C.
1/100 times
1/10 times
100 times
D.
10 times
Workspace
21.
if 60 capacitors are connected in series and then in parallel what is the ratio of Cs/Cp=?
A.
B.
C.
D.
250
3600
1/60
1/3600
Workspace
22.
source of light is
A.
B.
C.
D.
sun
moon
glass
none of these
Workspace
23.
When wood is replaced by air as dielectric. The capacitance of capacitor
A.
decreases
B.
C.
D.
increases
remains constant
none of these
Workspace
24.
at resonance RLC circuit has impedance
A.
B.
C.
D.
inductive
capacitive
R/LC
resistive
Workspace
25.
Which of the following is not an example of periodic motion
A.
C.
a man walking in street
a moving fan
B.
D.
rolling ball
vibratory motor
Workspace
26.
energy of alpha and beta particles has the relation:
A.
alpha > beta
B.
alpha < beta
C.
alpha=beta
D.
depends on source
Workspace
27.
Newton first law is applicable on I)body in motion II)body in rest
A.
B.
C.
D.
I only
II only
neither a nor b
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 a nd removed, the new force between x and y i s
A.
B.
C.
D.
F
F/2
2F
zero
Workspace
29.
which has the highest internal resistance
A.
B.
C.
D.
refrigerator
100 watt bulb
tube light
ceiling fan
Workspace
30.
entropy is the measure of ________ of a system
A.
B.
C.
D.
heat
kinetic energy
momentum
disorder
Workspace
31.
scattering of photon by electron is called
A.
B.
C.
photoelectric effect
pair production
annihilation
D.
compton effect
Workspace
32.
when the source moves towards an observer then its frequency
A.
B.
C.
D.
increase
decrease
remain constant
none of these
Workspace
33.
which of the following can’t be used as a dielectric in a capacitor
A.
B.
C.
D.
wax
iron
air
all of these
Workspace
34.
in a pure resistive circuit current and voltage are
A.
in phase
B.
C.
D.
out of phase
current leads
voltage leads
Workspace
35.
the constant between I and V is
A.
B.
C.
D.
R
1/R
2R
none of these
Workspace
36.
when a body moves with the speed of light then its mass approaches to
A.
B.
C.
D.
zero
infinity
remains same
none of these
Workspace
37.
Efficiency of the Carnot's cycle will be 100% if the absolute temp is
A.
B.
C.
D.
+273K
-273K
100K
0K
Workspace
38.
what happens to bulk of potential energy of a glass that falls from a table and breaks
A.
B.
C.
D.
converted into kinetic energy
wasted in air
converted into sound
consumed in breaking of glass
Workspace
39.
the earth magnetic field deflects high velocity positive charge towards
A.
B.
C.
north
south
west
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.
B.
C.
D.
Four times
Thrice
One and a half time
Twice
Workspace
41.
In hot day white clothes are worn because they are good
A.
B.
C.
D.
absorbers
emitters
reflectors
none of these
Workspace
42.
Forces in nature always occur in
A.
triplet
B.
quadrupled
C.
isolation
D.
pair
Workspace
43.
In F= GMm/R the dimensions of G is?
A.
B.
C.
D.
[M-1L+2T-2]
[M-1L+3T-2]
[M-1L+2T-3]
none of these
Workspace
44.
Mass of body is 10kg . Wh at will be its weight if body moves 500*10^6 m away from the surface of earth?
A.
B.
C.
D.
9.8
0.98
0.098
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
C.
gamma rays effect is observed
D.
none of these
Workspace
46.
a ballistic missile is
A.
C.
unpowered
both a and b
B.
D.
unguided
none of these
Workspace
47.
Debroglie wavelength for an electron and proton are Le and Lp respectively. And frequencies are Fe and Fp then correct one is
A.
B.
C.
D.
Fe < Fp , Le > Lp
Le < Lp , Fp < Fe
Le < Lp , Fe = Fp
Le > Lp , Fe > Fp
Workspace
48.
light rays coming from the tube light are
A.
C.
plane
cylindrical
B.
D.
spherical
none of these
Workspace
49.
when some charge is given to a soap bubble it
increases in size
A.
decreases in size
B.
remain same
C.
collapses
D.
Workspace
50.
Which one has the more resistance 500 watt or 40 watt? 40 watt
A.
500 watt
B.
both have equal
C.
depends on teh volatge source
D.
Workspace
1.
What is the geometric mean btw 9 and 4
A.
B.
C.
6i
-6i
6
D.
7.5
Workspace
2.
The inverse of derivation is called
A.
B.
C.
D.
differential
rotation
integration
scaling
Workspace
3.
if the median of a triangle on a hypotenuse has a length 6 then what is the length of hypotenuse?
A.
B.
C.
D.
36
6
16
12
Workspace
4.
Derivative of 2x5
A.
10
10x
B.
10x6
C.
10x4
D.
Workspace
5.
If (9-n)/n=9 , then n=?
A.
B.
C.
D.
1
10/9
9/10
4/5
Workspace
6.
if 3x - 1 = 8, then x=?
A.
B.
C.
D.
2
3
4
5
Workspace
7.
next number of series 5, 8, 11, 14, 17… is
A.
B.
C.
D.
19
20
18
21
Workspace
8.
1,4,8,13 9th number of series is ?
A.
B.
C.
D.
34
43
53
54
Workspace
9.
Two dies are thrown simultaneously. What is the probability that the sum of numbers shown at the top is 5?
A.
B.
1/4
4/5
C.
D.
1/7
1/9
Workspace
10.
Modulus of iota is
A.
B.
C.
D.
i
1
-1
-i
Workspace
11.
Two A.Ms b/w 5 and 11 are
A.
B.
C.
D.
7,8
7,9
6,8
6.5,8.5
Workspace 12.
equation of tangent to hyperbola x 2 /2 - y2 =1 at (2,1) is
A.
B.
C.
D.
2y + x – 3 =0
2x + y +3 =0
2x – y – 3 = 0
2y - x + 3 = 0
Workspace
13.
The two lines : 7x + 2y + 3 = 0 and 6y + 21x + 9 =0 are
A.
C.
intersecting
anti-parallel
B.
D.
perpendicular
parallel
Workspace
14.
Which of the following is the point slope form of the equation
A.
B.
C.
D.
Ax + By = C
y - y 1 = m ( x - x1 )
y = mx + b
none of these
Workspace
15.
sum of reciprocals of 4th root of unity is?
A.
B.
C.
D.
2
i
1
0
Workspace
16.
if 2 and 32 are in Gp Find their geometric mean
A.
B.
C.
D.
8
-8
16
-16
Workspace
17.
Summation from n=1 to n=5 of 1/i n equals
A.
B.
C.
0
1
i
D.
-i
Workspace
18.
which of the following is the equation of hyperbola?
A.
B.
C.
D.
x^2/a - y^2/b = 1
x^2 + y^2 = 1
x^2/ a + y^2/b = 1
none of these
Workspace
19.
If sin(x) =1/2 where s is in 1st quadrant , find the values of tan(2x)
A.
C.
1
1.732
B.
D.
-1
-1.732
Workspace
20.
How many diagonals can be formed of 7-sided polygon figure?
A.
B.
C.
21
14
19
D.
23
Workspace
21.
If f(x) = 1/x2, find f -1(1)
A.
B.
C.
D.
sq. root 2
1/sq. root 2
0
1
Workspace
22.
A line with point (1, 1) is perpendicular to a line having slope -3/4. What’s the equation of the line?
A.
B.
C.
D.
4x – 3y – 1 = 0
3x – 4y – 1= 0
4y – 3x – 1 = 0
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
B.
C.
D.
28
16
34
Workspace
24.
The value of sin 13 cos 77 + cos 13 sin 103 =?
A.
B.
C.
D.
sin 26
cos 26
0
1
Workspace
25.
If a12 = 19 and a17 = 29 then what is the value of d?
A.
C.
2
B.
4
D.
3
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
C.
-0.5
D.
0.707
Workspace
27.
Two chords in a circle are equal distance from the center. The chords are??
A.
B.
C.
D.
proportional
bisectors
perpendicular
congruent
Workspace
28.
If t1 is 3 and t 10 is 39 then S10 is
A.
B.
C.
D.
216
214
212
210
Workspace
29.
ax2 + bx + c= 0 has only one root if
A.
b=0
B.
C.
D.
a=0
c=0
ab=0
Workspace
30.
Sigma n=1 to Infinity (-e)^(-2n)
A.
B.
C.
D.
infinity
0
e^2
(e^2 – 1 )-1
Workspace
31.
if x=3y and 3x-2y=7 then y = ?
A.
B.
C.
D.
0
1/2
-1
1
Workspace
32.
Sum of coefficients in expansion of (x+y)^ 5 is
A.
B.
C.
D.
31
32
33
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.
B.
C.
D.
0
1
ln 1
e
Workspace
34.
which one is increasing function in 1st quadrant?
A.
B.
C.
sin x
cos x
e
D.
e^x
Workspace
35.
Sum n=0 to infinity of (-3/7)^2n
A.
B.
C.
D.
3/7
9/40
7/3
infinity
Workspace
36.
Which of the following two lines intersect each other
A.
B.
C.
D.
3x - 6y + 9 = 0 ; 2y – x – 3 = 0
2x + 5y + 3 = 0 ; x – y =9
4x – 2 = 2y ; 2x – y -1 =0
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
B.
C.
D.
493
494
495
Workspace
38.
If we throw a stone in water we see ripples (in form of circle). If the rate of c hange of circumference is 12 pie. What is the rate of change of area at the instant when radius is changed to 3 cm.
A.
B.
C.
D.
60 pie
54pie
28pie
36 pie
Workspace
Chemistry Portion
39.
PAN is irritating to
A.
nose
B.
C.
D.
ear
lungs
eyes
Workspace
40.
catalysts increase rate of
A.
B.
C.
D.
forward reaction
backward reaction
none
both a and b
Workspace
41.
catalyst used in hydrogenation
A.
B.
C.
D.
Fe
Cu
Ni
U
Workspace
42.
C3H8+5O2==>3CO2+4H2O How many moles of O2 required to combust 2 moles of C3H8
A.
C.
1
15
B.
D.
2
10
Workspace
43.
In tertiary alkyl halides the halogen is attached to the carbon which is further attached to
A.
B.
C.
D.
3 other carbon atoms
2 other carbon atoms
1 other carbon atom
no other carbon atom
Workspace
44.
What is the formula of nitric acid?
A.
B.
C.
D.
H2NO2
HNO
HN3O
HNO3
Workspace
45.
Different liquids have _______ vapor pressures at _______ temperature
A.
C.
different, same
different, different
B.
D.
same, different
same, same
Workspace
46.
ethyl alcohol can easily react with
A.
C.
sodium chloride
sodium hydroxide
B.
D.
sodium carbonate
sodium nitrate
Workspace
47.
number of hydrogen atoms in formaldehyde is
A.
B.
C.
D.
4
3
1
2
Workspace
48.
energy in a spontaneous process
A.
C.
increases
increases then decreases
B.
D.
decreases
none of these
Workspace
49.
The relation between V and T was described by which scientist?
