PAEC TEST SAMPLE D

PAKISTAN ATOMIC ENERGY COMMISSION
ENTRANCE TEST FOR POSTGRADUATE TRAINING CHEMICAL SAMPLE
      TEST D

1. Which number should come next?  1 6 13 32 ______
A) 44
B) 43
C) 42
D) 41
E) 40

2. Choose the lettered word or phrase that is the most nearly Opposite in meaning to the word in capital letters:
RELEVANT:
A) immaterial
B) random
C) hidden
D) false
E) inopportune

3. City ABC has installed 30 parking meters at 15 – foot intervals along a straight street. What is the number of feet between the first meter & the last meter?
A) 435
B) 420
C) 200
D) 465
E) 450

4. A constant force of 100N is being tangentially applied on a flywheel of a machine which rotates at constant angular speed of 9420 radians per second. The radius of the flywheel is 0.5 meter. What is the torque acting on the flywheel?
A) 100 Nm
B) 0.5 Nm
C) 50 Nm
D) 5 Nm
E) Torque is not defined for rotating objects.

5. Let  f g ( x ) = (2 x – 3 )⌃ 2 . If g ( x) = 2 x + 3 and  f ( x) = x ⌃2  what will be  g f ( x) :
A) 2 x⌃ 3 + 3 x ⌃2
B) x 2 + 2 x +3
C) 2 x
D) 2 x ⌃2 + 3
Add caption
E) None of above
6. If y be the function of x as given in the figure, then =
 


A) 1
B) 0
C) -1
D) 0.5
E) None of the above

7. In the figure,  ԁy/ԁx during the interval (1 - 2) is_______
A) 1
B) 0
C) -1
D) 0.5
E) None of the above

8. Shimla accord between India & Pakistan was signed after the war of:
A) 1948
B) 1965
C) 1971
D) Kargil war
E) None of the above

9. If the area of a square increases by 69%, then the side of the square increased by?
A) 69%
B) 34.5%
C) 17.25%
D) 30%
E) 25%

10. The population of Bacteria in some blood sample was observed to be 5.3 millions. The rate of increase in population was proportional to the present population. The population was observed to be 6.4 million after 10 hours. Estimate population after further 20 hours.
A) 7.33 million
B) 8.33 million
C) 9.33 million
D) 10.33 million
E) 11.33 million

11. The half life of some radioactive element is 24 days. How much mass will remain unchanged of 100g after 36 days?
A) 0 g
B) between 30g and  40g
C) between 41g and 50g
D) more than 50 g
E) 100 g

12. MeV (Mega electron Volt) is unit of energy
A) It is equivalent to 1 joule
B) It is equivalent to 1.6 x 10⌃-19 joules
C) It is equivalent to 6.02 x 10⌃23 joules
D) It is equivalent to 1 erg.
E) None of the above

13. The equation of a line with slope – 3 and passing through the point (0,0) is
A) 3x + y = 0
B) 3x – y  = 0
C) x + 3y = 0
D) x + y = 3
E) none of the above

14. For what value of x is it true that  ( x – 3)⌃1 <  4 ?
A) All values of x except 3 ≤ x ≤ 3¼ 
B) All values of x
C) All values of x greater than 3¼
D) All values of x less than 3¼
E) None of the above

15. Isobars are produced as a result of the emission of
A) Beta particles
B) Alpha particles
C) Gamma particles
D) X-rays
E) None of the above

16. pH values of different solution was measured, one of them was NaOH. What value in the following would be for that
A) 11
B) 7
C) 6
D) 3
E) 0

17. A metallic piece of 420g in air, 360g in water and 210g in an unknown fluid. It can be concluded that
A) The unknown fluid is exactly 3-times as dense s water
B) The metallic piece has a specific gravity of 3.
C) The metallic piece is three times as dense as water
D) The metallic piece is twice as dense as water
E) None of the above

18. If a vector



and  ,



then the inner product
equals


A) 0
B) 8
C)




D)

 
E) None of the above

19. A room having the dimensions (25 ft ? 14 ft ?12 ft) and contains two (8 ft ? 3 ft) doors and four (6ft?4ft) windows. What would be the cost of whitewashing the walls and the roof of the room if the cost of one square foot is Rs.2.00?
A) Rs. 2284
B) Rs. 1142
C) Rs. 2572
D) Rs. 1286
E) None of the above

20. The given figure is a sector of a circle having radius r cm and the angle is 𝚹 radians. The area of the sector is


A)  𝚹/2 cm2
B)  𝚹/2 cm2
C) 2 r𝚹2 ? cm2
D) r2 cm2
E) None of the above

21. Mr. Aslam sent his servant to the store to get 9 large cans of cooking oil. The servant could only carry 2 at a time. How many trips to the store did the servant have to make?
A) 4
B) 4 ½
C) 5
D) 5 ½
E) 6

22. A solid cube is made of a white material, but with the exterior is painted black. If the cube is cut into 125 smaller cubes of exactly the same size, how many of the cubes will have at least 2 of their sides painted black?
A) 48
B) 44
C) 28
D) 24
E) 20

23. Two trains A & B are running face to face at the same track in opposite directions. Train A has a speed of 50 miles/hr while Train B is running at 25 miles/hr speed. How long will they take to collide with each other from the moment when they are 100 miles apart from each other?
A) 4 hours
B) 2 hours
C) I hour, 30 minutes
D) 45 minutes
E) 30 minutes

24. All of the students at a college are majoring in psychology, business, or both. 73% of the students are psychology majors and 62% are business majors. If there are 200 students, how many of them are majoring in both psychology and business?
A) 146
B) 124
C) 73
D) 62
E) 70

25. In training for a competition, you find that swimming downstream (with the current) in a river, you can swim 2 miles in 40minutes, and upstream (against the current), you can swim 2 miles in 60 minutes. How long would it take you to swim a mile in still water?
A) 20 minutes
B) 24 minutes
C) 26 minutes
D) 30 minutes
E) 40 minutes



26. Which of the following compounds can improve the cetane number of diesel oils when added in small quantities
           A) Ethyl mercapatan
           B) Amyl nitrate
           C) Methyl tertiary butyl ether
           D) Tetra ethyl lead
           E) None of the above

27. The peak heat flux in a boiling curve is called
           A) Burnout point
           B) Leidenfrost point
           C) Boiling point
           D) Nusselt point
           E) None of the above

28. The reaction        CH2=CH2+Br2→CH2-CH2Br     is
           A) A substitute reaction
           B) An addition reaction
           C) A molecular reaction
           D) A photochemical reaction
           E) None of the above

29. A Redox reaction is
           A) Proton transfer reaction
           B) A reaction in gas phase
           C) Electron transfer reaction
           D) Job combination reaction
           E) None of the above

30. In an Oxidation process
           A) Oxidation number decreases
           B) Number of electrons decreases
           C) Oxygen content decreases
           D) Number of ions decreases
           E) None of the above

31. Both temporary and permanent hardness of water can be removed by
           A) Boiling
           B) Distillation
           C) Filtration
           D) Decantation
           E) None of the above

32. Hydrogenation of edible oil
           A) Increases their melting point
           B) Decreases their melting point
           C) Does not effect their melting point
           D) Is an endothermic reaction
           E) None of the above

33. The expression for the work done for a reversible polytropic process can be used to obtain the expression for work done for all process except:
           A) Reversible adiabatic process
           B) Reversible isothermal process
           C) Reversible isometric process
           D) Reversible isobaric process
           E) None of the above

34. What is the ratio in which Sodium acetate and acetic acid must be mixed in order to give a buffer solution of pH=5? The pKa value of acetic acid is 4.74
           A) 4.74
           B) 1.5
           C) 2.5
           D) 1.82
           E) None of the above

35. If the selectivity of the solvent used in liquid-liquid extraction is unity
           A) Any degree of separation of solute is possible
           B) Only little amount of solute may be separated
           C) No separation is possible
           D) Large amount of solute may be separated
           E) None of the above

36. When can the relative humidity of air decrease in spite of an increase in the absolute humidity?
           A) When the pressure rises
           B) When the pressure falls
           C) When the temperature rises
           D) When the temperature falls
           E) None of the above

37. All gases have approximately the some compressibility factor at
           A) Same temperature and pressure
           B) Critical temperature and critical pressure
           C) Reduced temperature and reduced pressure
           D) Reduced temperature and high pressure
           E) None of the above

38. A gas can be liquefied by pressure alone only when its temperature is
           A) Higher than its critical temperature
           B) Equal to or higher than its critical temperature
           C) Less than or equal to its critical temperature
           D) Less than its critical temperature
           E) None of the above

39. Above atmospheric pressure the specific heat of a gas at constant-pressure (C𝒑)
           A) Increases with increase in pressure
           B) Decreases with decrease in pressure
           C) Remains unaffected with change in pressure
           D) Increases first and then decreases with increase in pressure
           E) None of the above

40. The formation of crystal can occur in
           A) A saturated solution only
           B) An unsaturated solution only
           C) A supersaturated solution only
           D) Strong solution only
           E) None of the above

41. For an ideal refrigeration cycle the change in internal energy of the fluid is
           A) Zero
           B) Positive
           C) Negative
           D) May be zero, positive or negative depending upon the fluid
           E) None of the above

42. The proximate analysis of coal gives
           A) Carbon, Hydrogen and ash
           B) Volatile matter, moisture, ash and fixed Carbon
           C) Carbon, Hydrogen, Sulphur and Nitrogen
           D) Volatile matter, moisture, Nitrogen and fixed Carbon
           E) None of the above

43. In a body-centred cubic lattice system there are
           A) 1 atom per unit cell
           B) 2 atoms per unit cell
           C) 3 atoms per unit cell
           D) 4 atoms per unit cell
           E) None of the above

44. Percentage of carbon is same in
           A) Cast iron and pig iron
           B) Cast iron and steel
           C) Pig iron and steel
           D) Pig iron and wrought iron
           E) None of the above

45. A disadvantage of using water as manometer liquid is its
           A) High vapour pressure
           B) Corrosive nature
           C) High boiling point
           D) Low vapour pressure
           E) None of the above

46. The principal constituent of Pyrex glass is
           A) Zn
           B) B
           C) Pb
           D) Ce
           E) None of the above

47. The equilibrium constant of a reaction depends on
           A) Temperature only
           B) Pressure only
           C) Temperature and pressure both
           D) Doesn’t depend on pressure & temperature
           E) Temperature and pressure & volume

48. Routh test for stability of a control systems uses
           A) Open-loop transfer function
           B) Closed-loop transfer function
           C) Characteristics equation
           D) Z-equation
           E) None of the above

49. Phosphatic fertilizer is graded based on its
           A) P2O5 content
           B) P content
           C) PCL3 content
           D) H3PO4 content
           E) None of the above

50. Heating value of liquid fuels in BTU/lb
           A) Decreases with decrease in specific gravity
           B) Increases with decrease in specific gravity
           C) Remains constant with change in specific gravity
           D) Increases with decrease in degree API
           E) None of the above















ANSWER SHEET D


Q. 1 B Q. 26 B
Q. 2 A Q. 27 A
Q. 3 A Q. 28 B
Q. 4 C Q. 29 C
Q. 5 D Q. 30       B
Q. 6 D Q. 31 B
Q. 7 A Q. 32 A
Q. 8 C Q. 33 B
Q. 9 D Q. 34 D
Q. 10 C Q. 35 C
Q. 11 B Q. 36 C
Q. 12 E Q. 37 C
Q. 13 A Q. 38 C
Q. 14 C Q. 39 A
Q. 15 A Q. 40 C
Q. 16 A Q. 41 A
Q. 17 E Q. 42 B
Q. 18 A Q. 43 D
Q. 19 A Q. 44 A
Q. 20 A Q. 45 A
Q. 21 C Q. 46 C
Q. 22 B Q. 47 D
Q. 23 D Q. 48 C
Q. 24 E Q. 49 A
Q. 25 B Q. 50 B



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