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. STATISTICS 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 / 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: PAST PAPER OF PIEAS. Past Paper of 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. Significant B. non-significant Note: Click the 'Submit Test' button given in the bottom of this page to Submit your answers. Test will be submitted automatically if the time expired. Don't refresh the page. 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? 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 D. unpredictable Workspace 7. Resistance of RCL series circuit at resonance is? A. X c B. R C. X l D. X l x R x X c 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 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 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=V o sint find period A. pie B. 2pie C. pie/2 D. zero Workspace 15. In interference energy ___ destroyed A. May be B. will be C. can be D. cannot be Workspace 16. Speed of sound is greatest in A. glass B. water C. wood D. plastic Workspace 17. Speed of sound is greatest in A. plastic B. wood C. water 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 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 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 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 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 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 can’t 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 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 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 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 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 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 Fe and 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 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 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 2x 5 A. 10 B. 10x C. 10x 6 D. 10x 4 Workspace 5. If (9-n)/n=9 , then n=? A. 1 B. 10/9 C. 9/10 D. 4/5 Workspace 6. if 3 x - 1 = 8, then x=? A. 2 B. 3 C. 4 D. 5 Workspace 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 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 x 2 /2 - y 2 =1 at (2,1) is 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? A. 2 B. i C. 1 D. 0 Workspace 16. if 2 and 32 are in Gp Find their geometric mean A. 8 B. -8 C. 16 D. -16 Workspace 17. Summation from n=1 to n=5 of 1/i n equals A. 0 B. 1 C. i 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 D. 23 Workspace 21. If f(x) = 1/x 2 , 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. What’s 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 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 a 12 = 19 and a 17 = 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 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 t 1 is 3 and t 10 is 39 then S 10 is A. 216 B. 214 C. 212 D. 210 Workspace 29. ax 2 + bx + c= 0 has only one root if A. b=0 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 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 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 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 B. ear C. lungs D. eyes Workspace 40. catalysts increase rate of A. forward reaction B. backward reaction C. none D. both a and b Workspace 41. catalyst used in hydrogenation A. Fe B. Cu C. Ni D. U Workspace 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 Workspace 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 Workspace 44. What is the formula of nitric acid? A. H2NO2 B. HNO C. HN3O D. HNO3 Workspace 45. Different liquids have _______ vapor pressures at _______ temperature A. different, same B. same, different C. different, different D. same, same Workspace 46. ethyl alcohol can easily react with A. sodium chloride B. sodium carbonate C. sodium hydroxide D. sodium nitrate Workspace 47. number of hydrogen atoms in formaldehyde is A. 4 B. 3 C. 1 D. 2 Workspace 48. energy in a spontaneous process A. increases B. decreases C. increases then decreases D. none of these Workspace 49. The relation between V and T was described by which scientist? A. Charles B. Boyle C. Thomson D. Graham Workspace 50. which of the following series is observed in visible region of electromagnetic spectrum A. balmer B. bracket C. lyman D. Pfund Workspace