PAEC TEST SAMPLE C
PAKISTAN ATOMIC ENERGY COMMISSION
ENTRANCE TEST FOR POSTGRADUATE TRAINING CHEMICAL SAMPLE
TEST C
1. Which number should come next? 1 5 17 37 ______
A) 63
B) 64
C) 65
D) 66
E) 67
2. Stationary point at curve y = x 2 is x = __________________
A) 0
B) 1
C) 2
D) 2 x
E) Can’t be determined with the given data
3. Choose the lettered word or phrase that is the most nearly Opposite in meaning to the word in capital letters:
ENDORSE:
A) provoke criticism
B) receive payment
C) submit unwillingly
D) oppose publicly
E) perform quickly
4. An elliptical field has its major axis equal to 10 km and minor axis equal to 8 km. If some one is interested to place a rope around the field at a distance of 100 m from the periphery of the ellipse, how long rope will he approximately need?
A) 28.78 km
B) 38.44 km
C) 35.25 km
D) 57.56 km
E) not enough data to approximate
5. If y = 1 / ( x + 2 ), then Inverse Function f -1(y):
A) 1 / (x – 2)
B) (2 / x) -1
C) (1 / y) - 2
D) (2 / y) -1
E) None of above
6. Hydrogen gas is contained at 20 degrees Celsius in a rigid cylinder having a volume of 10 litres. Which of the following figures is an approximation of the pressure in Mega Pascal which is being exerted on the walls of the cylinder?
A) 0.101
B) 0.24
C) 101
D) 24
E) Not enough data to have an idea
7. The nucleus of an atom with atomic number 92 and atomic mass number 238 emits an ?- rays. What will be the atomic number and the atomic mass number of the new nucleus formed?
A) 92 and 238
B) 94 and 240
C) 90 and 236
D) 90 and 234
E) No new nucleus is formed in this process
8. 6C11 and 5B11 are two
A) isotopes
B) isobars
C) isotones
D) isomers
E) None of the above
9. Log 9 100 is
A) greater than 0 and less than 1
B) greater than 1 and less than 2
C) greater than 2 and less than 3
D) greater than 3 and less than 4
E) greater than 4 and less than 5
10. In the diagram, lengths are shown in centimeters. What is area in square centimeters of the unshaded part of this rectangle
A) 84
B) 168
C) 49
D) 35
E) 126
11. A palindromic number is a whole number that reads the same both ways (for examples 28482). How many palindromic numbers are there between 150 and 250
A) 9
B) 10
C) 99
D) 90
E) 100
12. If f(x) = 5 + 2x then f(f(x)) is
A) (5 + 2x )2
B) 15 + 4x
C) 5
D) 5???x
E) 2
13. For what value of x is it true that (x – 3)???1 < ?
A) All values of x ¼
B) All values of x except 3 ? x ? 6
C) All values of x greater than 3
D) All values of x less than 6
E) All values of x greater than 6
14. Given that Sin(?) = –3.2, to which of the following statements do you agree
A) The given mathematical sentence is wrong because Sin(?) can never have a negative value
B) The mathematical sentence is wrong because Sin(?) can never have a value less than –1 or greater than +1
C) The mathematical sentence is wrong because Sin(?) has always a value greater than +1
D) The mathematical sentence is wrong because Sin(?) has always an integer value
E) The mathematical sentence is correct
15. Twenty people at a gathering shook hands with each other (once). The number of hand shakes which took place was
A) 190
B) 19
C) 400
D) 380
E) 40
16. A sixteen players’ squad was announced by cricket council in which a captain, four batsmen and three bowlers were permanent members of the team. How many possibilities are there to select a team of eleven players in such a condition?
A) 8
B) 16
C) 24
D) 40
E) 56
17. If X = A t + B t2 where X is in meters and t is in hours, the unit of A will be
A) m2/hr
B) m/hr2
C) m/hr
D) m
E) hr
18. 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.
19. Which of the following country is not a member of SAARC
A) Maldives
B) Bhutan
C) Myanmar
D) Nepal
E) Srilanka
20. Oil is leaking from an oil tanker at a rate of 300 cm3/s. The oil forms an expanding circular pool, 5mm deep around the tanker. How fast is the radius of the circle changing when the radius is 100 cm?
A) 3? cm/s
B) ?/3 cm/s
C) 3/? cm/s
D) 3 cm/s
E) ? cm/s
21. A meltdown has occurred at a nuclear reactor. The intensity of the radiation, I, is related to S, the distance in kilometers from the reactor according to the equation
I = 100/S2
If a person upon hearing about the disaster gets in his car and drives at 80 km/hr away from the reactor, how far is I changing when S=20 km?
A) – 2 units/hr
B) – 4 units/hr
C) – 6 units/hr
D) – 8 units/hr
E) – 9.34 units/hr
22. Estimate mean head in meters of a hydroelectric generation station in which surface of a reservoir 4000 m2 in extent falls by 30 cm when 75 kWh is developed in the turbine. The efficiency of the turbine is 70%. Neglect fractional losses of water flow and assume density of water to be 1000 kg/m3.
A) 48.3 m
B) 39.4 m
C) 32.8 m
D) 27.6 m
E) 22.1 m
23. Nasima had a number of cookies. After eating one, she gave half the number to her sister. After eating another cookie, she gave half of what was left to her brother. Nasima has now only five cookies left. How many cookies did she start with?
A) 11
B) 22
C) 23
D) 45
E) 46
24. A spaceship received three messages in a strange language from a distant planet. The astronauts studied these messages and found that “Elros Aldarion Elendil” means “Danger Rocket Explosion” and “Edain Mnyatur Elros” means “Danger Spaceship Fire” and “Aldarion Gimilzor Gondor” means “Bad Gas Explosion”.
What does “Elendil” mean?
A) Danger
B) Explosion
C) Nothing
D) Rocket
E) Gas
25. pH value of a solution was measured as 5, pOH of the solution will be
A) 11
B) 7
C) 9
D) 3
E) None of the above
26. The bulk modulus of elasticity for a liquid has the units
A) kg/m3
B) N/m2
C) m3
D) N
E) None of the above
27. An ideal fluid is one which is
A) Very viscous
B) Frictionless and incompressible
C) Has negligible surface tension
D) Obeys Newton’s law of viscosity
E) None of the above
28. The mutual solubility of two liquids
A) Decreases with increase in temperature
B) Increases with increase in temperature
C) Remains constant with change in temperature
D) Decreases linearly with increase in temperature
E) None of the above
29. The thermal conductivity of a perfect heat insulator is
A) Zero
B) Infinity
C) One
D) Between zero and infinity
E) None of the above
30. Heat transfer by convection is described by
A) Fick’s law
B) Fourier’s law
C) Newton’s law of cooling
D) Stefen-Botzmann law
E) None of the above
31. Esterification is
A) Irreversible process
B) Reversible process
C) Reaction of an acid and an aliphatic base
D) Reversible process under some specific conditions
E) None of the above
32. Molten iron withdrawn from the blast furnace is called
A) Pig iron
B) Wrought iron
C) Bessemer iron
D) Steel
E) None of the above
33. The e.m.f. of a Danielle cell
Zn | Zn2+ || Cu2 | Cu
Can be increased by
A) Increasing the concentration of zinc sulphate solution
B) Increasing the concentration of copper sulphate solution
C) Increasing the surface area of he electrodes
D) Decreasing the surface area of the electrodes
E) None of the above
34. The steady state temperature reached by a small amount of liquid evaporating into a large amount of unsaturated vapor gas mixture is called:
A) Dry bulb temperature
B) Dew point
C) Wet bulb temperature
D) Bubble point
E) None of the above
35. An azeotropic mixture of two liquids has boiling point higher than either of them when it is
A) Saturated
B) Shows negative deviation from Raoult’s law
C) Shows positive deviation from Raoult’s law
D) Shows no deviation from Raoult’s law
E) None of the above
36. The flooding in a distillation column is detected by
A) A sharp increase in pressure drop
B) A sharp increase in murphree plate efficiency
C) A sharp decrease in pressure drop
D) A sharp decrease in liquid hold-up in the column
E) None of the above
37. The total vapour pressure of an ideal solution
A) Varies linearly with composition expressed as mole fractions
B) Varies exponentially with composition expressed as mole fractions
C) Varies inversely with composition expressed as mole fractions
D) Is always 760 mm Hg.
E) None of the above
38. A system in which there may be exchange of energy but not mass is known as
A) Open system
B) Closed system
C) Isolated system
D) Insulated system
E) None of the above
39. An open system implies
A) The use of a control volume
B) No interchange between system and surroundings
C) The presence of a free surface
D) That a definite mass of material is considered
E) None of the above
40. Which of the following is a state function?
A) Temperature
B) Pressure
C) Specific volume
D) Work
E) None of the above
41. The enthalpy of an ideal gas
A) Depends on its temperature only
B) Depends on its pressure only
C) May decrease while the internal energy increases
D) Depends on its volume only
E) None of the above
42. A vessel has two compartments A and B containing H2 and O2 respectively both at one atmospheric pressure. If the wall separating the two compartments is removed
A) The pressure will remain unchanged
B) The pressure will increase in A
C) The pressure will increase in B
D) The pressure will increase both in A and B
E) None of the above
43. The ultimate 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
44. In a face-centered cubic lattice there are
A) 1 molecule per unit cell
B) 2 molecules per unit cell
C) 4 molecules per unit cell
D) 8 molecules per unit cell
E) None of the above
45. Iron pipes lying under acidic soil are often attached to blocks of magnesium for protection from rusting. Magnesium offers protection to iron against corrosion because it is
A) Lighter than air
B) More readily converted into positive ions
C) Prevents air from reaching the surface of iron
D) Form a corrosion-resistant alloy with iron
E) None of the above
46. Manipulated variable in a heat exchanger is
A) The inlet temperature of heating fluid
B) The outlet temperature of cooling fluid
C) The flow rate of heating or cooling fluid
D) The outlet temperature of heating fluid
E) The inlet temperature of heating fluid
47. For under damped second-order response, damping coefficient (?) is
A) Equal to 1
B) Less than 1
C) Greater than 1
D) Equal to zero
E) None of the above
48. The rate at which a chemical substance reacts is proportional to its
A) Equivalent weight
B) Atomic weight
C) Molecular weight
D) Active mass
E) None of the above
49. The characteristic equation for the control system with a closed-loop transfer function G1/1 + G is
A)
B) 1 + G = 0
C) G = 0
D) G1 = 1 + G
E) None of the above
50. Which of the following process is used for the commercial production of nitric Acid
A) NaNO3 + H2SO4 process
B) Ammonia oxidation process
C) Passing air through an electric arc
D) None of these answers
None of the above
Q. 1 C Q. 26 B
Q. 2 A Q. 27 B
Q. 3 D Q. 28 B
Q. 4 A Q. 29 B
Q. 5 C Q. 30 C
Q. 6 E Q. 31 B
Q. 7 D Q. 32 A
Q. 8 B Q. 33 B
Q. 9 C Q. 34 C
Q. 10 E Q. 35 B
Q. 11 B Q. 36 A
Q. 12 B Q. 37 A
Q. 13 E Q. 38 B
Q. 14 B Q. 39 A
Q. 15 A Q. 40 D
Q. 16 E Q. 41 A
Q. 17 C Q. 42 A
Q. 18 C Q. 43 C
Q. 19 C Q. 44 B
Q. 20 C Q. 45 B
Q. 21 A Q. 46 C
Q. 22 B Q. 47 B
Q. 23 C Q. 48 D
Q. 24 D Q. 49 B
Q. 25 C Q. 50 B
ENTRANCE TEST FOR POSTGRADUATE TRAINING CHEMICAL SAMPLE
TEST C
1. Which number should come next? 1 5 17 37 ______
A) 63
B) 64
C) 65
D) 66
E) 67
2. Stationary point at curve y = x 2 is x = __________________
A) 0
B) 1
C) 2
D) 2 x
E) Can’t be determined with the given data
3. Choose the lettered word or phrase that is the most nearly Opposite in meaning to the word in capital letters:
ENDORSE:
A) provoke criticism
B) receive payment
C) submit unwillingly
D) oppose publicly
E) perform quickly
4. An elliptical field has its major axis equal to 10 km and minor axis equal to 8 km. If some one is interested to place a rope around the field at a distance of 100 m from the periphery of the ellipse, how long rope will he approximately need?
A) 28.78 km
B) 38.44 km
C) 35.25 km
D) 57.56 km
E) not enough data to approximate
5. If y = 1 / ( x + 2 ), then Inverse Function f -1(y):
A) 1 / (x – 2)
B) (2 / x) -1
C) (1 / y) - 2
D) (2 / y) -1
E) None of above
6. Hydrogen gas is contained at 20 degrees Celsius in a rigid cylinder having a volume of 10 litres. Which of the following figures is an approximation of the pressure in Mega Pascal which is being exerted on the walls of the cylinder?
A) 0.101
B) 0.24
C) 101
D) 24
E) Not enough data to have an idea
7. The nucleus of an atom with atomic number 92 and atomic mass number 238 emits an ?- rays. What will be the atomic number and the atomic mass number of the new nucleus formed?
A) 92 and 238
B) 94 and 240
C) 90 and 236
D) 90 and 234
E) No new nucleus is formed in this process
8. 6C11 and 5B11 are two
A) isotopes
B) isobars
C) isotones
D) isomers
E) None of the above
9. Log 9 100 is
A) greater than 0 and less than 1
B) greater than 1 and less than 2
C) greater than 2 and less than 3
D) greater than 3 and less than 4
E) greater than 4 and less than 5
10. In the diagram, lengths are shown in centimeters. What is area in square centimeters of the unshaded part of this rectangle
A) 84
B) 168
C) 49
D) 35
E) 126
11. A palindromic number is a whole number that reads the same both ways (for examples 28482). How many palindromic numbers are there between 150 and 250
A) 9
B) 10
C) 99
D) 90
E) 100
12. If f(x) = 5 + 2x then f(f(x)) is
A) (5 + 2x )2
B) 15 + 4x
C) 5
D) 5???x
E) 2
13. For what value of x is it true that (x – 3)???1 < ?
A) All values of x ¼
B) All values of x except 3 ? x ? 6
C) All values of x greater than 3
D) All values of x less than 6
E) All values of x greater than 6
14. Given that Sin(?) = –3.2, to which of the following statements do you agree
A) The given mathematical sentence is wrong because Sin(?) can never have a negative value
B) The mathematical sentence is wrong because Sin(?) can never have a value less than –1 or greater than +1
C) The mathematical sentence is wrong because Sin(?) has always a value greater than +1
D) The mathematical sentence is wrong because Sin(?) has always an integer value
E) The mathematical sentence is correct
15. Twenty people at a gathering shook hands with each other (once). The number of hand shakes which took place was
A) 190
B) 19
C) 400
D) 380
E) 40
16. A sixteen players’ squad was announced by cricket council in which a captain, four batsmen and three bowlers were permanent members of the team. How many possibilities are there to select a team of eleven players in such a condition?
A) 8
B) 16
C) 24
D) 40
E) 56
17. If X = A t + B t2 where X is in meters and t is in hours, the unit of A will be
A) m2/hr
B) m/hr2
C) m/hr
D) m
E) hr
18. 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.
19. Which of the following country is not a member of SAARC
A) Maldives
B) Bhutan
C) Myanmar
D) Nepal
E) Srilanka
20. Oil is leaking from an oil tanker at a rate of 300 cm3/s. The oil forms an expanding circular pool, 5mm deep around the tanker. How fast is the radius of the circle changing when the radius is 100 cm?
A) 3? cm/s
B) ?/3 cm/s
C) 3/? cm/s
D) 3 cm/s
E) ? cm/s
21. A meltdown has occurred at a nuclear reactor. The intensity of the radiation, I, is related to S, the distance in kilometers from the reactor according to the equation
I = 100/S2
If a person upon hearing about the disaster gets in his car and drives at 80 km/hr away from the reactor, how far is I changing when S=20 km?
A) – 2 units/hr
B) – 4 units/hr
C) – 6 units/hr
D) – 8 units/hr
E) – 9.34 units/hr
22. Estimate mean head in meters of a hydroelectric generation station in which surface of a reservoir 4000 m2 in extent falls by 30 cm when 75 kWh is developed in the turbine. The efficiency of the turbine is 70%. Neglect fractional losses of water flow and assume density of water to be 1000 kg/m3.
A) 48.3 m
B) 39.4 m
C) 32.8 m
D) 27.6 m
E) 22.1 m
23. Nasima had a number of cookies. After eating one, she gave half the number to her sister. After eating another cookie, she gave half of what was left to her brother. Nasima has now only five cookies left. How many cookies did she start with?
A) 11
B) 22
C) 23
D) 45
E) 46
24. A spaceship received three messages in a strange language from a distant planet. The astronauts studied these messages and found that “Elros Aldarion Elendil” means “Danger Rocket Explosion” and “Edain Mnyatur Elros” means “Danger Spaceship Fire” and “Aldarion Gimilzor Gondor” means “Bad Gas Explosion”.
What does “Elendil” mean?
A) Danger
B) Explosion
C) Nothing
D) Rocket
E) Gas
25. pH value of a solution was measured as 5, pOH of the solution will be
A) 11
B) 7
C) 9
D) 3
E) None of the above
26. The bulk modulus of elasticity for a liquid has the units
A) kg/m3
B) N/m2
C) m3
D) N
E) None of the above
27. An ideal fluid is one which is
A) Very viscous
B) Frictionless and incompressible
C) Has negligible surface tension
D) Obeys Newton’s law of viscosity
E) None of the above
28. The mutual solubility of two liquids
A) Decreases with increase in temperature
B) Increases with increase in temperature
C) Remains constant with change in temperature
D) Decreases linearly with increase in temperature
E) None of the above
29. The thermal conductivity of a perfect heat insulator is
A) Zero
B) Infinity
C) One
D) Between zero and infinity
E) None of the above
30. Heat transfer by convection is described by
A) Fick’s law
B) Fourier’s law
C) Newton’s law of cooling
D) Stefen-Botzmann law
E) None of the above
31. Esterification is
A) Irreversible process
B) Reversible process
C) Reaction of an acid and an aliphatic base
D) Reversible process under some specific conditions
E) None of the above
32. Molten iron withdrawn from the blast furnace is called
A) Pig iron
B) Wrought iron
C) Bessemer iron
D) Steel
E) None of the above
33. The e.m.f. of a Danielle cell
Zn | Zn2+ || Cu2 | Cu
Can be increased by
A) Increasing the concentration of zinc sulphate solution
B) Increasing the concentration of copper sulphate solution
C) Increasing the surface area of he electrodes
D) Decreasing the surface area of the electrodes
E) None of the above
34. The steady state temperature reached by a small amount of liquid evaporating into a large amount of unsaturated vapor gas mixture is called:
A) Dry bulb temperature
B) Dew point
C) Wet bulb temperature
D) Bubble point
E) None of the above
35. An azeotropic mixture of two liquids has boiling point higher than either of them when it is
A) Saturated
B) Shows negative deviation from Raoult’s law
C) Shows positive deviation from Raoult’s law
D) Shows no deviation from Raoult’s law
E) None of the above
36. The flooding in a distillation column is detected by
A) A sharp increase in pressure drop
B) A sharp increase in murphree plate efficiency
C) A sharp decrease in pressure drop
D) A sharp decrease in liquid hold-up in the column
E) None of the above
37. The total vapour pressure of an ideal solution
A) Varies linearly with composition expressed as mole fractions
B) Varies exponentially with composition expressed as mole fractions
C) Varies inversely with composition expressed as mole fractions
D) Is always 760 mm Hg.
E) None of the above
38. A system in which there may be exchange of energy but not mass is known as
A) Open system
B) Closed system
C) Isolated system
D) Insulated system
E) None of the above
39. An open system implies
A) The use of a control volume
B) No interchange between system and surroundings
C) The presence of a free surface
D) That a definite mass of material is considered
E) None of the above
40. Which of the following is a state function?
A) Temperature
B) Pressure
C) Specific volume
D) Work
E) None of the above
41. The enthalpy of an ideal gas
A) Depends on its temperature only
B) Depends on its pressure only
C) May decrease while the internal energy increases
D) Depends on its volume only
E) None of the above
42. A vessel has two compartments A and B containing H2 and O2 respectively both at one atmospheric pressure. If the wall separating the two compartments is removed
A) The pressure will remain unchanged
B) The pressure will increase in A
C) The pressure will increase in B
D) The pressure will increase both in A and B
E) None of the above
43. The ultimate 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
44. In a face-centered cubic lattice there are
A) 1 molecule per unit cell
B) 2 molecules per unit cell
C) 4 molecules per unit cell
D) 8 molecules per unit cell
E) None of the above
45. Iron pipes lying under acidic soil are often attached to blocks of magnesium for protection from rusting. Magnesium offers protection to iron against corrosion because it is
A) Lighter than air
B) More readily converted into positive ions
C) Prevents air from reaching the surface of iron
D) Form a corrosion-resistant alloy with iron
E) None of the above
46. Manipulated variable in a heat exchanger is
A) The inlet temperature of heating fluid
B) The outlet temperature of cooling fluid
C) The flow rate of heating or cooling fluid
D) The outlet temperature of heating fluid
E) The inlet temperature of heating fluid
47. For under damped second-order response, damping coefficient (?) is
A) Equal to 1
B) Less than 1
C) Greater than 1
D) Equal to zero
E) None of the above
48. The rate at which a chemical substance reacts is proportional to its
A) Equivalent weight
B) Atomic weight
C) Molecular weight
D) Active mass
E) None of the above
49. The characteristic equation for the control system with a closed-loop transfer function G1/1 + G is
A)
B) 1 + G = 0
C) G = 0
D) G1 = 1 + G
E) None of the above
50. Which of the following process is used for the commercial production of nitric Acid
A) NaNO3 + H2SO4 process
B) Ammonia oxidation process
C) Passing air through an electric arc
D) None of these answers
None of the above
ANSWER SHEET C
Q. 1 C Q. 26 B
Q. 2 A Q. 27 B
Q. 3 D Q. 28 B
Q. 4 A Q. 29 B
Q. 5 C Q. 30 C
Q. 6 E Q. 31 B
Q. 7 D Q. 32 A
Q. 8 B Q. 33 B
Q. 9 C Q. 34 C
Q. 10 E Q. 35 B
Q. 11 B Q. 36 A
Q. 12 B Q. 37 A
Q. 13 E Q. 38 B
Q. 14 B Q. 39 A
Q. 15 A Q. 40 D
Q. 16 E Q. 41 A
Q. 17 C Q. 42 A
Q. 18 C Q. 43 C
Q. 19 C Q. 44 B
Q. 20 C Q. 45 B
Q. 21 A Q. 46 C
Q. 22 B Q. 47 B
Q. 23 C Q. 48 D
Q. 24 D Q. 49 B
Q. 25 C Q. 50 B
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