MikaStars39/nano-eval huggingface dataset:
Ship propulsion efficiency is

Options:
A. The ratio of propeller thrust power to water received power
B. The product of hull propulsion efficiency and propeller interaction efficiency
C. The ratio of the effective power of the ship to the power received after the propeller ship
D. The ratio of propeller thrust power to shafting output power
E. The ratio of the power of the water in front of the propeller boat to the power received by the water
F. The ratio of the propeller shaft power to the total propulsion power of the ship
G. The ratio of the ship's propulsion power to the propeller's thrust power
Answer: C
Similar conditions that need to be met for a propeller water test in a towing pool when the sink is sufficient:

Options:
A. Reynolds numbers are equal
B. Mach numbers are equal
C. Escher numbers are equal
D. The coefficient of resistance is equal
E. The advance velocity coefficient is equal
F. The Froude number is equal
G. Equal propulsion coefficients
H. Four's numbers are equal
I. The number of vacuoles is equal
J. Straugh numbers are equal
Answer: E
The Code stipulates that the current load line marking for ships on international voyages is divided into: (select all correct options) (1) load line marking for ships not loaded with timber cargo;
(2) Load line marking of ships carrying timber cargo; (3) Compartment load line signs; (4) Passenger and cargo ship load line signs; (5) All-season load line signs

Options:
A. (2)(3)(4)
B. (1)(2)(3)(4)(5)
C. (2)(4)
D. (1)(2)
E. (1)(4)(5)
F. (1)(2)(3)
G. (1)(3)(4)
H. (1)(3)(5)
I. (1)(2)(4)
J. (2)(3)
Answer: B
The rib plate is the transverse member connecting the bottom plate and the inner bottom plate, which can be divided into (select all the correct options) according to the structure and purpose:(1) solid rib plate; (2) light ribs; (3) watertight ribs; (4) Composite ribs

Options:
A. (1)(4)
B. (1)(2)(3)(4)
C. (1)(2)(4)
D. (2)(3)
E. (1)(2)
F. (2)(3)(4)
G. (1)(3)
H. (1)(3)(4)
I. (2)(4)
J. (1)(2)(3)
Answer: E
The role of the bulwark is (to pick all the correct options) :(1) to avoid waves on the deck; (2) Prevent deck items from rolling into the water; (3) Improve the total longitudinal strength: (4) Ensure the safety of personnel

Options:
A. (1)(2)(4)
B. (1)(3)(5)
C. (1)(3)(4)
D. (2)(3)(4)
E. (1)(2)(3)
F. (2)(4)
G. (1)(2)(3)(4)(5)
H. (2)(3)
I. (1)(4)(5)
J. (1)(2)
Answer: F
The functions of the water spray device in the anchor chain are as follows: (1) it is used to flush the anchor chain when the anchor is dropped; (2) It is used to flush the anchor when the anchor is dropped: (3) It is used to flush the anchor chain when the anchor is lifted; (4) It is used to flush the anchor when the anchor is lifted

Options:
A. (1)(3)
B. (1)(2)
C. (3)(4)
D. (1)(4)
E. (2)(4)
F. (1)(2)(4)
G. (1)(2)(3)
H. (2)(3)
I. (2)(3)(4)
J. (1)(2)(3)(4)
Answer: C
In the following concepts regarding the in agricultral machinery, which of the following statements are incorrect? (Need to include all incorrect options):
I. The operational width, depth, and speed of operation of an implement are some of the major factors that determine the power demand (kW), fuel consumption (Lh−1 ), and the field capacity (hah−1 ) of agricultural machinery. These parameters (e.g., power demand, fuel consumption, and field capacity) which have a significant impact on the economics of crops, have to be considered in the techno-economic modeling phase of UAGVs.
II. The force required to compress fibrous biological material depends on the rate at which the material is compressed. Therefore, fibrous biological materials have both rate dependent and rate independent properties.
III. The chopped crop is expelled through the discharge spout to the trailer. The discharge spout has a modular design in order to adjust to different working widths. Spout extensions are available to get the optimum discharge distance for harvesting with large headers.
IV. There are two main options for arranging the knives in the cutting cylinder: in a V-shape or chevron-style, or the multi-knife cylinder. It is essential to keep the knives on the forager chopping drum sharp, and to adjust the counter blade appropriately.
V. NIRS on-line systems primarily employ reflectance geometry, neglecting transmission systems, due to its high signal level and insensitivity to surface properties variations between fruit batches.

Options:
A. None of the above
B. only I
C. I, II, III, and IV
D. None of the above (10)
E. All of the above
F. only II
G. only V
H. only III
I. V
J. only IV
Answer: I
In the following concepts regarding the in agricultral machinery, which of the following statements are incorrect? (Need to include all incorrect options):
①. The falling-rate period in drying is always shorter than the constant-rate period and only observable when the initial moisture content is above the critical moisture content, primarily controlled by external factors like air temperature and humidity.
②. Roller conditioners work by applying intermittent pressure on the plants by passing the forage between two rollers with studs or a grooved profile, the rollers spin in opposite directions at a speed in the order of three to four times that of the ground speed of the machine. They crush and shatter the stalks, opening pathways to release the water content of the plant tissue. By regulating the approximation and the pressure of the rollers, the level of conditioning of the rollers can be chosen and differentiated from that of the leaves, obtaining forage with a larger amount of leaves and therefore greater digestibility and protein value.
③. Typically, the process of surface irrigation optimization involves collecting measurements from an irrigation event, calibration of a simulation model, use of that model to identify appropriate adjustments, and implementation of those adjustments for the next irrigation. The idea of real-time control requires that the measurement, optimization, and control are integrated into an automated system. This offers the possibility to almost completely remove the problem of temporal variability in infiltration rates that occurs between irrigation events.
④. As a discontinuous numerical simulation method for the analysis of discrete matter, compared with the traditional finite element analysis, the DEM no longer regards soil andcropsascontinuum,butasdiscretematterforanalysis.Comparedwithcontinuum theory, DEM is more practical. The interaction between agricultural machinery and soil/crops is studied from the particle micro level by using the DEM, which makes the optimization and improvement of agricultural machinery a big step forward.
⑤. When groundwater is used, energy costs can constitute up to 70% of the total cost of water abstraction and application with a pressurized irrigation system (sprinkler or drip irrigation). Thus, optimizing pump efficiency and selection and adapting irrigation system design and management to different energy rate periods throughout the irrigation season is very important. Proper design and management of irrigation systems, dissemination of irrigation advisory services, web-GIS platform application, and utilities to transfer and share real-time information with farmers in a feedback process are some of the best tools for improving water consumption, energy, and the rest of production inputs.

Options:
A. ②, ③, ④, and ⑤
B. ①
C. None of the above
D. All of the above
E. only ⑤
F. only ④
G. only ②
H. only ③
I. None of the above (10)
J. only ①
Answer: B
Consider a two-stage cascade refrigeration system operating between the pressure limits of 0.8 and 0.14 MPa. Each stage operates on an ideal vapor-compression refrigeration cycle with refrigerant-134a as the working fluid. Heat rejection from the lower cycle to the upper cycle takes place in an adiabatic counterflow heat exchanger where both streams enter at about 0.32 MPa. (In practice, the working fluid of the lower cycle is at a higher pressure and temperature in the heat exchanger for effective heat transfer.) If the mass flow rate of the refrigerant through the upper cycle is 0.05 kg/s, determine the mass flow rate of the refrigerant through the lower cycle.

Options:
A. 0.0445 kg/s
B. 0.0375 kg/s
C. 0.0435 kg/s
D. 0.0390 kg/s
E. 0.0345 kg/s
F. 0.0420 kg/s
G. 0.0425 kg/s
H. 0.0410 kg/s
I. 0.0355 kg/s
J. 0.0365 kg/s
Answer: D
A vapor-compression refrigeration cycle with refrigerant-134a as the working fluid is used to maintain a space at −13°C by rejecting heat to ambient air at 27°C. R-134a enters the compressor at 100 kPa superheated by 6.4°C at a rate of 0.05 kg/s. The isentropic efficiency of the compressor is 85 percent. The refrigerant leaves the condenser at 39.4°C as a saturated liquid.
(1) Determine the minimum power input and the second-law efficiency of the cycle.
(2) Determine the rate of total exergy destruction.

Options:
A. (1) 1.073 kW, 32.9%
(2) 1.867 kW
B. (1) 0.947 kW, 33.9%
(2) 2.014 kW
C. (1) 1.156 kW, 37.3%
(2) 1.678 kW
D. (1) 1.017 kW, 34.8%
(2) 1.902 kW
E. (1) 1.124 kW, 36.2%
(2) 1.756 kW
F. (1) 0.963 kW, 31.7%
(2) 2.167 kW
G. (1) 1.042 kW, 33.5%
(2) 1.934 kW
H. (1) 0.994 kW, 35.2%
(2) 2.045 kW
I. (1) 0.985 kW, 32.4%
(2) 2.103 kW
J. (1) 1.089 kW, 35.6%
(2) 1.845 kW
Answer: D
Given that the average heat flux through a particular zone in a cast iron liner 1 cm thick is 0.2 $\mathrm{MW / m^{2} }$, the coolant temperature is 85°C, and the
coolant side heat-transfer coefficient is 7500 $\mathrm{W / m^{2} \cdot K}$ find the average
surface temperature on the combustion chamber and coolant sides of the liner at that zone.

Options:
A. 85 °C, 165 °C
B. 145 °C, 88 °C
C. 132 °C, 105 °C
D. 159 °C, 92 °C
E. 148 °C, 111 °C
F. 95 °C, 142 °C
G. 128 °C, 115 °C
H. 138 °C, 98 °C
I. 152 °C, 82 °C
J. 112 °C, 149 °C
Answer: J
The levels of combustible species in the exhaust of a direct-injection diesel engine are: HC, 0.8 g/kWh; CO, 3 g/kWh; hydrogen, negligible; particulates, 0.7 g/kWh. If the specific fuel consumption is 210 g/kWh, calculate the combustion efficiency.

Options:
A. 99.7%
B. 99.4%
C. 97.8%
D. 98.9%
E. 97.5%
F. 98.2%
G. 99.0%
H. 98.6%
I. 97.3%
J. 98.4%
Answer: G
In an industrial process, products of combustion at a temperature and pressure of 2000 K and 1 atm, respectively, flow through a long, 0.25-m-diameter pipe whose inner surface is black. The combustion gas contains $CO_2$ and water vapor, each at a partial pressure of 0.10 atm. The gas may be assumed to have the thermophysical properties of atmospheric air and to be in fully developed flow with $m=0. 2 5$ kg/s. The pipe is cooled by passing water in cross flow over its outer surface. The upstream velocity and temperature of the water are 0.30 m/s and 300 $\mathrm{K}$ . respectively. Determine the pipe wall temperature and heat flux. Hint: Emission from the pipe wall may be neglected.

Options:
A. $\mathrm{450K, 68750 W/m^2}$
B. $\mathrm{420K, 76540 W/m^2}$
C. $\mathrm{1000K, 222000 W/m^2}$
D. $\mathrm{405K, 81240 W/m^2}$
E. $\mathrm{380K, 89640 W/m^2}$
F. $\mathrm{365K, 88920 W/m^2}$
G. $\mathrm{330K, 95680 W/m^2}$
H. $\mathrm{395K, 84320 W/m^2}$
I. $\mathrm{375K, 86430 W/m^2}$
J. $\mathrm{340K, 92450 W/m^2}$
Answer: E
A furnace having a spherical cavity of 0.5-m diameter contains a gas mixture at $1$ atm and 1400 K. The mixture consists of $\mathrm{C O_{2}}$ with a partial pressure of 0.25 atm and nitrogen with a partial pressure of 0.75 atm. If the cavity wall is black, what is the cooling rate needed to maintain its temperature at 500 K?

Options:
A. $\mathrm{15.1 kW}$
B. $\mathrm{12.8 kW}$
C. $\mathrm{18.2 kW}$
D. $\mathrm{20.5 kW}$
E. $\mathrm{3.4 kW}$
F. $\mathrm{13.9 kW}$
G. $\mathrm{16.7 kW}$
H. $\mathrm{11.4 kW}$
I. $\mathrm{17.3 kW}$
J. $\mathrm{9.7 kW}$
Answer: A
We have a two-word query. For one term the postings list consists of the following 16 entries:\n[4,6,10,12,14,16,18,20,22,32,47,81,120,122,157,180]\nand for the other it is the one entry postings list:\n[47].\nWork out how many comparisons would be done to intersect the two postings lists with the following two strategies.Using skip pointers of length 4 for the longer list and of length 1 for the shorter list

Options:
A. 5
B. 6
C. 9
D. 7
E. 4
F. 2
G. 1
H. 3
I. 10
J. 8
Answer: B
The main attributes of intelligence/information are ()
I. Knowledge
II. Transmissibility
III. Value
IV. Sharability
V. Uniqueness

Options:
A. I,III,V
B. II,IV,V
C. III,IV,V
D. I,II,III
E. I,II,IV
F. II,III,V
G. I,II,V
H. I,II,III,IV,V
I. I,IV,V
J. II,III,IV
Answer: D
Which are Criminal and Legal Violation Records in China as follows?
i. Time of Violation - The specific time when the illegal act occurred.
ii. Location of Violation - The specific location where the illegal act took place.
iii. Nature of Violation - Detailed description of the criminal or illegal acts and facts.
iv. Case Resolution - Final disposition or punishment decision for the illegal or criminal act.

Options:
A. IV
B. I,IV
C. I,III,IV
D. II,III,IV
E. I,II,IV
F. I,II
G. II
H. III
I. I,II,III,IV
J. III,IV
Answer: C
Methods for protecting physical evidence at crime scenes include:
I. Marking Protection Method
II. Documentation Protection Method
III. Perimeter Protection Method
IV. Covering Protection Method
V. Transfer Protection Method

Options:
A. II,III,IV
B. II,III,V
C. II,IV,V
D. III,IV
E. I,II,V
F. I,II,IV,V
G. I,II,III
H. III,IV,V
I. I,IV,V
J. I,III,V
Answer: F
During preliminary investigation activities, the following cannot serve as witnesses:
I. Legal persons
II. Victims
III. Investigators of the case
IV. Expert witnesses/examiners of the case
V. Persons who, due to young age, cannot distinguish right from wrong or express themselves correctly

Options:
A. II,IV,V
B. I,II,V
C. I,III,IV,V
D. I,II,III
E. II,III,V
F. I,II,IV
G. II,III,IV
H. III,V
I. III,IV,V
J. I,IV,V
Answer: C
In China, the procedures for investigating crime scenes and disaster incidents are:
I. On-scene Investigation and Interviews
II. General Scene Survey
III. Detailed Scene Examination
IV. Physical Evidence Collection
V. Scene Analysis and Research

Options:
A. II,III,IV
B. II,III,V
C. III,IV,V
D. I,III,V
E. II,IV,V
F. I,II,III
G. I,II,III,IV
H. I,II,V
I. I,II,III,IV,V
J. I,IV,V
Answer: G
The development trends of information service models based on network information resource demands are:
I. Shifting from dispersed to integrated and coordinated environment
II. Shifting from information service to knowledge service
III. Shifting from static service to dynamic service
IV. Shifting from conventional service to competitive service
V. Shifting from single-industry service to cross-industry service

Options:
A. II,III,V
B. I,II,III,V
C. I,IV,V
D. I,II,IV
E. II,IV,V
F. II,III,IV
G. III,IV,V
H. I,II,III,IV,V
I. I,II,III
J. I,III,V
Answer: H
In the external environment of China's information industry, the influencing factors include:
I. Consumption structure
II. Social structure
III. Demographic structure
IV. Demand structure

Options:
A. II,IV
B. III,IV
C. II,III,IV
D. I,II,III,IV
E. II
F. I,II,IV
G. I,II
H. I,IV
Answer: G
The key to market information database construction is database design, which generally goes through the following steps:
I. Requirements Analysis Phase
II. Conceptual Structure Design Phase
III. Project Implementation Schedule
IV. Logical Structure Design Phase
V. Database Implementation Phase

Options:
A. I,II,III,IV
B. I,II,IV,V
C. II,III,IV
D. I,IV,V
E. I,III,IV,V
F. III,IV,V
G. I,II,V
H. I,II,III,IV,V
I. I,III,V
J. II,IV,V
Answer: C
The main responsibility of the CKO (Chief Knowledge Officer) is to oversee all knowledge management-related work within the enterprise. The knowledge management activities undertaken by the enterprise include the following approaches:
I. Develop and establish technologies to create, protect, and utilize existing knowledge
II. Design and create environments or activities to discover unknown knowledge
III. Concretize and embed the purpose and essence of knowledge management into daily enterprise operations
IV. Identify knowledge management issues in traditional enterprise management and innovate for optimization
Answer: abc 4o abcd

Options:
A. IV
B. I,II,IV
C. I,IV
D. II,III,IV
E. I
F. I,III
G. I,III,IV
H. I,II,III,IV
I. III
J. I,II,III
Answer: J
For a car manufacturing company, among the following resources, the information resources include:
I. Raw production materials
II. Bank loans
III. Production plans
IV. Various reports
V. Research and development personnel for new products

Options:
A. I,III,V
B. II,III,IV
C. I,II,III,IV
D. II,IV,V
E. III,V
F. I,II,III
G. I,II,V
H. III,IV,V
I. I,III,IV
J. I,IV,V
Answer: H
A ski lift has a one-way length of 1 km and a vertical rise of 200 m. The chairs are spaced 20 m apart, and each chair can seat three people. The lift is operating at a steady speed of 10 km/h. Neglecting friction and air drag and assuming that the average mass of each loaded chair is 250 kg, determine the power required to operate this ski lift. Also estimate the power required to accelerate this ski lift in 5 s to its operating speed when it is first turned on.

Options:
A. 68.2 kW, 9.65 kW
B. 68.1 kW, 43.7 kW
C. 68.1 kW, 53.7 kW
D. 68.1 kW, 48.7 kW
E. 68.2 kW, 34.1 kW
F. 68.1 kW, 33.7 kW
G. 68.1 kW, 38.7 kW
H. 68.1 kW, 34.1 kW
I. 68.2 kW, 43.7 kW
J. 68.1 kW, 9.65 kW
Answer: B
A country, unable to continue fighting, wishes to request the cessation of the war from countries B, C, D, and F. Which of the following is not a formal legal end of the war between both parties?

Options:
A. Four countries agree to A's request to end the war
B. A country announces unconditional surrender
C. Both parties conclude a peace and friendship treaty
D. The four countries announce the end of the war
Answer: B
In a temperature sensing system, a nickel element (α = 0.0067/K) with R0 = 100Ω at 0°C forms one arm of a Wheatstone bridge balanced at 30°C. When temperature rises to 40°C, using a difference amplifier to amplify this to 1V and given an input resistance of 2.3349kΩ, calculate the required feedback resistance.

Options:
A. 33.5kΩ
B. 21.527 kΩ
C. 22.41 kΩ
D. 21.49 kΩ
E. 21.475 kΩ
F. 21.522 kΩ
G. 21.47 kΩ
H. 16.44kΩ
I. 16.7975 kΩ
J. 21.42 kΩ
Answer: J
One day, Manager Zhang from Company M visited Company S, a management consulting firm, where Business Manager Wang received him. After brief introductions and exchanges about their respective situations, Manager Zhang presented the following requests to Business Manager Wang. Among these, the one that follows the basic management consulting procedure is:

Options:
A. Present the approach and framework for problem-solving
B. Request a detailed report on the initial findings after the on-site visit
C. Request a detailed report on the initial findings before any on-site visit
D. Submit an improvement plan as soon as possible
E. Invite Company S to send personnel to Company M for a preliminary investigation
F. Request a preliminary meeting to discuss the scope and objectives of the project after the on-site visit
G. Request a preliminary meeting to discuss the scope and objectives of the project after the preliminary investigation
H. Sign the consulting agreement immediately
Answer: E
Suppose a nickel element is used (calculate the temperature coefﬁcient of resistance at least with 4-digit precision). If the resistance element is taken as being 100 Ω at 0°C what are its resistance at 30°C and 50°C?

Options:
A. 121.1 Ω and 133.6 Ω
B. 121.1 Ω and 134.5 Ω
C. 121.1 Ω and 132.5 Ω
D. 121.1 Ω and 133.5 Ω
E. 121.1 Ω and 133.1 Ω
F. 121.1 Ω and 132.9 Ω
G. 121.1 Ω and 133.4 Ω
H. 118.12 Ω and 130.2 Ω
I. 121.1 Ω and 133.0 Ω
J. 118.54 Ω and 130.90 Ω
Answer: D
What is the equivalent black body temperature on the surface of the Sun (radius $6.96 \times 10^8$ meters)?

Options:
A. 5769°K
B. 5775°K
C. 5773°K
D. 5771°K
E. 5772°K
F. 5777°K
G. 5770°K
H. 5776°K
I. 5774°K
J. 5778°K
Answer: G
Consider a rock that produces the following isochron data: $d(Ar*)/d(K^{40}) = 0.098\pm0.005$, $d(Sr^{87}*/Sr^{86}) = 0.0215\pm0.007$, $d(Pb^{207}/Pb^{204}) = 0.090\pm0.005$. From these isotope isochron data, determine the rock's age.

Options:
A. $t_{ar*} = (1.24\pm0.05)\times10^9$ years
$t_{sr} = (1.47\pm0.02)\times10^9$ years
$t_{pb} = (1.46\pm0.10)\times10^9$ years
B. $t_{ar*} = (1.20\pm0.05)\times10^9$ years
$t_{sr} = (1.50\pm0.02)\times10^9$ years
$t_{pb} = (1.43\pm0.10)\times10^9$ years
C. $t_{ar*} = (1.21\pm0.05)\times10^9$ years
$t_{sr} = (1.49\pm0.02)\times10^9$ years
$t_{pb} = (1.44\pm0.10)\times10^9$ years
D. $t_{ar*} = (1.19\pm0.05)\times10^9$ years
$t_{sr} = (1.51\pm0.02)\times10^9$ years
$t_{pb} = (1.42\pm0.10)\times10^9$ years
E. $t_{ar*} = (1.18\pm0.05)\times10^9$ years
$t_{sr} = (1.52\pm0.02)\times10^9$ years
$t_{pb} = (1.45\pm0.10)\times10^9$ years
F. $t_{ar*} = (1.15\pm0.05)\times10^9$ years
$t_{sr} = (1.55\pm0.02)\times10^9$ years
$t_{pb} = (1.38\pm0.10)\times10^9$ years
G. $t_{ar*} = (1.17\pm0.05)\times10^9$ years
$t_{sr} = (1.53\pm0.02)\times10^9$ years
$t_{pb} = (1.41\pm0.10)\times10^9$ years
H. $t_{ar*} = (1.22\pm0.05)\times10^9$ years
$t_{sr} = (1.48\pm0.02)\times10^9$ years
$t_{pb} = (1.40\pm0.10)\times10^9$ years
I. $t_{ar*} = (1.23\pm0.05)\times10^9$ years
$t_{sr} = (1.47\pm0.02)\times10^9$ years
$t_{pb} = (1.42\pm0.10)\times10^9$ years
J. $t_{ar*} = (1.25\pm0.05)\times10^9$ years
$t_{sr} = (1.45\pm0.02)\times10^9$ years
$t_{pb} = (1.48\pm0.10)\times10^9$ years
Answer: B
If we assume a classical heat capacity of 3R and average atomic mass of 50, what is the total heat capacity of Earth's core?

Options:
A. $9.76\times10^{27}$ J/K
B. $9.76\times10^{23}$ J/K
C. $9.76\times10^{26}$ J/K
D. $9.76\times10^{29}$ J/K
E. $9.76\times10^{28}$ J/K
F. $9.76\times10^{26.5}$ J/K
G. $9.76\times10^{22}$ J/K
H. $9.76\times10^{21}$ J/K
I. $9.76\times10^{24}$ J/K
J. $9.76\times10^{25}$ J/K
Answer: C
Consider the problem of determining the valve size for a valve that is required to control the ﬂow of water when the maximum ﬂow required is 0.012 $m^3/s$ and the permissible pressure drop across the valve at this ﬂow rate is 300 kPa. What is the valve size?

Options:
A. 970mm
B. 945mm
C. 965mm
D. 950mm
E. 955mm
F. 960mm
G. 980mm
H. 940mm
I. 962mm
J. 958mm
Answer: F
In a cold storage facility, there are ten 100-watt light bulbs and two 2-kilowatt ventilators (assuming a motor efficiency of 0.85). If the light bulbs are used for 3 hours per day and the ventilators are used for 20 hours per day, what is the refrigeration load required for the light bulbs and ventilators in kilocalories per hour?

Options:
A. 4.09
B. 4.07
C. 4.06
D. 4.05
E. 4.14
F. 4.08
G. 4.10
H. 4.04
I. 4.24
J. 4.19
Answer: H
There is a freon-12 refrigeration unit, $t_k$= 30°C, $t_0$= 0°C, the temperature of the liquid refrigerant in front of the expansion valve is 25°C, and the temperature of the compressor suction steam is 10°C. In order to reduce its cooling capacity by half, the suction valve is closed, but the evaporation temperature is still 0°C, and the temperature of the refrigerant steam at the evaporator outlet is still 10°C. At this time, the refrigeration coefficient of the refrigeration unit is what percentage of the normal load refrigeration coefficient? \n\nA normal load, $eta _v1 $= 0.85, $eta _s1 $= 0.80, load in half $eta _v2 $= 0.75, $eta _s2 $= 0.76. In addition, due to the role of the water saving valve (when the heat discharge of the condenser is reduced, the cooling water can be automatically reduced), the high pressure condition when the load is halved is the same as that when the normal load is loaded.

Options:
A. 42.5%
B. 43.0%
C. 41.5%
D. 40.5%
E. 44.5%
F. 43.5%
G. 42.2%
H. 41.0%
I. 40.0%
J. 42.0%
Answer: C
What thickness is better when using rigid foam rubber with thermal conductivity λ = 0.03 kcal/m · h ·°C for floor insulation of Grade F cold storage? In addition, if the temperature below the floor is 25°C and the thickness of the floor concrete is 200 mm, what is the heat flux that penetrates into the cold storage from below the floor? Let the heat release coefficient on both sides of the floor be 5 kcal/m ²· hour ·°C.

Options:
A. 16
B. 15
C. 8
D. 13
E. 11
F. 9
G. 10
H. 12
I. 14
J. 17
Answer: G
When $t_k = 40°C$and $t_0 = 0°C$, what is the refrigeration factor of a Freon-11 two-stage turbine refrigeration unit with an intermediate vessel? It is known that the refrigerant liquid entering the intermediate vessel and the refrigerant steam inhaled by the first stage impeller are saturated, the adiabatic efficiency of the high pressure section and the low pressure section are equal to $0.75$, the volumetric efficiency is equal to $0.98$, and the saturation temperature equivalent to the intermediate pressure is $20°C$.

Options:
A. 4.52
B. 4.55
C. 4.45
D. 4.67
E. 4.64
F. 4.70
G. 4.62
H. 4.60
I. 4.58
J. 4.72
Answer: D
A company, in order to effectively promote its new products, decided to advertise during prime-time television and in full-page spreads in well-known newspapers. To obtain indicators of advertising awareness and attention rates, a questionnaire survey was conducted among 1,000 residents, yielding the following data: approximately 800 people received television advertising, but only about 30% of them had some understanding of the TV advertisements; 500 households subscribed to the newspaper, and survey showed 300 people paid attention to the related advertisements. The company's advertising awareness rate and attention rate are respectively ( ).

Options:
A. Awareness rate 30%; Attention rate 50%
B. Awareness rate 30%; Attention rate 30%
C. Awareness rate 80%; Attention rate 60%
D. Awareness rate 50%; Attention rate 30%
E. Awareness rate 30%; Attention rate 45%
F. Awareness rate 30%; Attention rate 60%
G. Awareness rate 30%; Attention rate 40%
H. Awareness rate 50%; Attention rate 60%
I. Awareness rate 80%; Attention rate 50%
J. Awareness rate 50%; Attention rate 50%
Answer: F
Management by Objectives is suitable for managing

Options:
A. Supervisors
B. Leaders
C. Managers
D. Teams
E. Work
F. Workers
G. Organization
Answer: C
What is the average velocity of fluid bodies falling freely to Earth from outside the solar system?

Options:
A. $v_s = 5.16\times10^8 m/s$
B. $v_s = 5.16\times10^3 m/s$
C. $v_s = 5.16\times10^4 m/s$
D. $v_s = 5.16\times10^7 m/s$
E. $v_s = 5.16\times10^6 m/s$
F. $v_s = 5.16\times10^5 m/s$
Answer: E
With increasing North American road transport development, what is its relationship to seawater absorption caused by transport prediction? (Assume average transport speed and effective road width are known.)

Options:
A. $1.2\times10^{-15}$ degrees/second
B. $1.2\times10^{-10}$ degrees/second
C. $1.2\times10^{-16}$ degrees/second
D. $1.2\times10^{-11}$ degrees/second
E. $1.2\times10^{-12}$ degrees/second
F. $1.2\times10^{-14}$ degrees/second
G. $1.2\times10^{-13}$ degrees/second
Answer: E
According to the different burning locations after a forest fire occurs, it can be classified into:
I. Surface fire
II. Crown fire
III. Ground fire
IV. Mixed fire

Options:
A. II,III,IV
B. I,II,IV
C. I,II,III
D. I,II,III,IV
E. II,IV
F. III,IV
G. IV
H. II
I. I
J. I,IV
Answer: C
Using the Huffman algorithm to find the optimal binary tree T with weights 7, 8, 10, 12, 13, 14, and calculate W(T). If the transmission frequencies of A, B, C, D, E, F are 7%, 8%, 10%, 12%, 13%, 14% respectively, find the minimum weighted path length sum.

Options:
A. 184
B. 173
C. 165
D. 156
E. 159
F. 192
G. 145
H. 283
I. 116
J. 178
Answer: C
For a third-year computer science program at a university, there are 5 elective courses. Students have simultaneously enrolled in the following course pairs: Course 1 and 2, Course 1 and 3, Course 1 and 4, Course 2 and 4, Course 2 and 5, Course 3 and 4, and Course 3 and 5. What is the minimum number of time slots needed to schedule the exams for these 5 courses?

Options:
A. 1
B. 4
C. 8
D. 10
E. 9
F. 2
G. 7
H. 5
I. 3
J. 6
Answer: I
The relationship between the extensions of the concepts "judgment" and "reasoning" is:
I. Genus-species relationship
II. Intersecting relationship
III. Contrary relationship
IV. Contradictory relationship
V. Mutually exclusive relationship

Options:
A. I,IV
B. I,V
C. IV,V
D. II,IV
E. III,V
F. II,III
G. III,IV
H. II,V
I. I,II
J. I,III
Answer: E
Media pricing strategies include ( ):
I. Consumer-oriented pricing
II. Cost-oriented pricing
III. Demand-oriented pricing
IV. Competition-oriented pricing

Options:
A. III,IV
B. I,IV
C. II,III,IV
D. I,II,IV
E. II,IV
F. I,III,IV
G. I,II,III,IV
H. I,II
I. II,III
J. I,II,III
Answer: C
The performance combination forms in Tibetan dance include ( ).
I. Zhuo performance combinations
II. Xianzi performance combinations
III. Yi performance combinations
IV. Rhythmic performance combinations

Options:
A. I,V
B. II,IV
C. I,III
D. I,IV
E. II,III
F. III,IV
G. I,II,III
H. I,II
Answer: G
Consider a highly simplified Earth model consisting of three uniform layers. The total radius is 6400 kilometers, with the upper mantle extending to a depth of 600 kilometers, the entire mantle to 2900 kilometers, and the core having a radius of 3500 kilometers. The P-wave velocity $v_P = 9$ kilometers per second in both the upper mantle and core, while in the lower mantle $v_P = 12$ kilometers per second. Find the range of the core shadow zone?

Options:
A. $103.45^\circ - 162.18^\circ$
B. $111.16^\circ - 158.74^\circ$
C. $115.27^\circ - 153.89^\circ$
D. $105.83^\circ - 160.25^\circ$
E. $109.63^\circ - 157.82^\circ$
F. $108.92^\circ - 155.63^\circ$
G. $107.55^\circ - 159.31^\circ$
H. $104.29^\circ - 161.57^\circ$
I. $113.44^\circ - 156.92^\circ$
J. $116.78^\circ - 154.46^\circ$
Answer: B
Consider the following premises about the state of Sorority World.
Dana likes Cody.
Abby does not like Dana.
Dana does not like Abby.
Bess likes Cody or Dana.
Abby likes everyone that Bess likes.
Cody likes everyone who likes her.
Nobody likes herself.
There are just four states of Sorority World that satisfy these sentences. They are shown below.
| | Abby | Bess | Cody | Dana |
|---------|-------|-------|-------|-------|
| **Abby** | | | √ | |
| **Bess** | | | √ | |
| **Cody** | √ | √ | | √ |
| **Dana** | | | √ | |
| | Abby | Bess | Cody | Dana |
|---------|-------|-------|-------|-------|
| **Abby** | | √ | √ | |
| **Bess** | | | √ | |
| **Cody** | √ | √ | | √ |
| **Dana** | | | √ | |
| | Abby | Bess | Cody | Dana |
|---------|-------|-------|-------|-------|
| **Abby** | | | √ | |
| **Bess** | | | √ | |
| **Cody** | √ | √ | | √ |
| **Dana** | | √ | √ | |
| | Abby | Bess | Cody | Dana |
|---------|-------|-------|-------|-------|
| **Abby** | |√ | √ | |
| **Bess** | | | √ | |
| **Cody** | √ | √ | | √ |
| **Dana** | | √ | √ | |
For each of the following sentences, say whether or not it is logically entailed by the premises shown above.
a. Abby likes Bess or Bess likes Abby.
b. Somebody likes herself.
c. Everybody likes somebody.

Options:
A. No.
No.
Yes.
B. Yes.
Yes.
No.
C. Yes.
No.
Yes.
D. Yes.
No.
No.
E. No.
No.
No.
F. Yes.
Yes.
Yes.
G. No.
Yes.
Yes.
H. No.
Yes.
No.
Answer: A
The truth table at the bottom of this page gives values for the three Propositional Logic sentences on the right for all possible values of the three proposition constants shown on the left.
| p | q | r | p ⇒ q ∨ r | p ⇒ r | q ⇒ r |
|-----|-----|-----|-----------|-------|-------|
| 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 0 | 1 | 0 | 0 |
| 1 | 0 | 1 | 1 | 1 | 1 |
| 1 | 0 | 0 | 0 | 0 | 1 |
| 0 | 1 | 1 | 1 | 1 | 1 |
| 0 | 1 | 0 | 1 | 1 | 0 |
| 0 | 0 | 1 | 1 | 1 | 1 |
| 0 | 0 | 0 | 1 | 1 | 1 |
Use this truth table to answer the following questions about logical entailment.
a.	{p ⇒ q ∨ r} ⊨ (p ⇒ r)	
b.	{p ⇒ r} ⊨ (p ⇒ q ∨ r)	
c.	{q ⇒ r} ⊨ (p ⇒ q ∨ r)	
d.	{p ⇒ q ∨ r, p ⇒ r} ⊨ (q ⇒ r)	
e.	{p ⇒ q ∨ r, q ⇒ r} ⊨ (p ⇒ r)

Options:
A. No, No, Yes, Yes, No
B. Yes, No, Yes, No, No
C. No, Yes, Yes, No, No
D. Yes, Yes, Yes, No, Yes
E. Yes, No, No, No, No
F. Yes, No, No, Yes, Yes
G. No, No, Yes, No, Yes
H. No, No, No, Yes, Yes
I. Yes, Yes, No, Yes, No
J. No, Yes, No, No, Yes
Answer: J
Say whether each of the following sentences is valid, contingent, or unsatisfiable.
a.	∀x.p(x) ⇒ ∃x.p(x)	

b.	∃x.p(x) ⇒ ∀x.p(x)	

c.	∀x.p(x) ⇒ p(x)	

d.	∃x.p(x) ⇒ p(x)	

e.	p(x) ⇒ ∀x.p(x)	

f.	p(x) ⇒ ∃x.p(x)	

g.	∀x.∃y.p(x,y) ⇒ ∃y.∀x.p(x,y)	

h.	∀x.(p(x) ⇒ q(x)) ⇒ ∃x.(p(x) ∧ q(x))	

i.	∀x.(p(x) ⇒ q(x)) ∧ ∃x.(p(x) ∧ ¬q(x))	

j.	(∃x.p(x) ⇒ ∀x.q(x)) ∨ (∀x.q(x) ⇒ ∃x.r(x))

Options:
A. contingent, valid, contingent, valid, contingent, valid, contingent, valid, unsatisfiable, contingent
B. contingent, valid, valid, contingent, valid, valid, unsatisfiable, contingent, unsatisfiable, valid
C. valid, valid, contingent, contingent, valid, contingent, unsatisfiable, contingent, unsatisfiable, valid
D. valid, valid, valid, contingent, contingent, contingent, unsatisfiable, valid, unsatisfiable, valid
E. contingent, valid, valid, contingent, valid, contingent, contingent, valid, unsatisfiable, valid
F. valid, contingent, valid, valid, contingent, contingent, valid, unsatisfiable, contingent, valid
G. valid, contingent, valid, contingent, contingent, valid, contingent, contingent, unsatisfiable, valid
H. valid, contingent, contingent, valid, valid, contingent, contingent, valid, unsatisfiable, contingent
I. valid, contingent, contingent, valid, contingent, valid, valid, contingent, unsatisfiable, contingent
J. contingent, contingent, valid, valid, contingent, valid, contingent, unsatisfiable, contingent, valid
Answer: G
In each of the following questions, say which of the answers best characterizes a result of applying resolution to the clauses shown.
---
**1.** {p(x,f(x)), q(x)} and {¬p(a,y), r(y)}
A. {q(x), r(y)}
B. {q(a), r(f(x))}
C. {q(a), r(f(a))}
D. There are no resolvents.
---
**2.** {p(x,b), q(x)} and {¬p(a,x), r(x)}
A. {q(x), r(y)}
B. {q(b), r(a)}
C. {q(a), r(b)}
D. There are no resolvents.
---
**3.** {p(x), p(a), q(x)} and {¬p(y), r(y)}
A. {p(x), q(x), r(x)}
B. {p(a), q(x), r(x)}
C. {p(a), q(a), r(a)}
D. There are no resolvents.
---
**4.** {p(x), p(a), q(x)} and {¬p(y), r(y)}
A. {q(x), r(x)}
B. {q(x), r(a)}
C. {q(a), r(a)}
D. There are no resolvents.
---
**5.** {p(a), q(y)} and {¬p(x), ¬q(b)}
A. {q(b), ¬q(b)}
B. {q(y), ¬q(b)}
C. {}
D. There are no resolvents.
---
**6.** {p(x), q(x,x)} and {¬q(a, f(a))}
A. {p(a)}
B. {p(f(a))}
C. {p(a), p(f(a))}
D. There are no resolvents.

Options:
A. C,D,B,C,B,D
B. C,C,B,C,A,D
C. C,C,B,C,B,D
D. C,C,B,C,B,A
E. C,C,A,C,B,D
F. C,C,B,B,B,D
G. D,C,B,C,B,D
H. C,C,B,D,B,D
I. C,B,B,C,A,D
J. B,C,B,C,B,D
Answer: C
Let $G$ be a simple graph, where $A$ and $M$ are the adjacency matrix and incidence matrix of $G$ respectively, and $A_L$ is the adjacency matrix of the line graph $L(G)$ of $G$.
$(a) \ \ M'M=$ _____.
$(b)$ If $G$ is $k$-regular, then $MM'=$ _____.

Options:
A. $A_{L}+I$ , $A+2k I$
B. $A_{L}-2 I$ , $A-k I$
C. $A_{L}+2k$ , $A+2 I$
D. $2 I-A_{L}$ , $k I+A$
E. $A+2 I$ , $A_{L}+k I$
F. $2 I+A$ , $A_{L}+k I$
G. $2A+I$ , $2A_{L}+k I$
H. $2A_{L}+I$ , $2A+k I$
I. $A_{L}+2 I$ , $A+k I$
J. $A_{L}-I$ , $A-2k I$
Answer: I
A deck of playing cards has 52 cards, and each shuffle changes the order of the cards, which is a permutation. If each shuffle strictly follows the operation below: first divide the cards into two equal parts, then interlace the cards from each part alternately, so that the first and last cards remain in their original positions while all other cards are rearranged. Express this permutation as a product of disjoint cycles, write out the cyclic structure of this permutation, and determine the minimum number of shuffles needed to restore the deck to its original order.

Options:
A. $(1^2, 2, 8^6), 8$
B. $(1^2, 5, 5^6), 6$
C. $(1^3, 1, 8^5), 15$
D. $(1^1, 4, 7^6), 11$
E. $(1^2, 4, 6^4), 12$
F. $(2^2, 1, 9^5), 9$
G. $(1^2, 3, 7^5), 10$
H. $(2^1, 2, 7^6), 7$
I. $(2^2, 3, 6^5), 5$
J. $(1^2, 6, 4^6), 4$
Answer: A
A function is defined by f(x)=2x and f(x + y) = f(x) + f(y) is called _____________

Options:
A. quadratic
B. heteromorphic
C. associative
D. reflexive
E. bijective
F. homomorphic
G. symmetric
H. isomorphic
I. cyclic group
J. transitive
Answer: H
The rules of baseball state that a batter Legally Completes His Time at Bat when he is put out or becomes a base runner. Which situation below is the best example of a batter Legally Completing His Time at Bat?

Options:
A. Peter's high pop fly lands safely between three confused fielders.
B. Danny's foul ball gets caught by the catcher ending his chance to advance.
C. The pitcher throws his famous knuckleball, Joe swings and misses, and the umpire calls a strike.
D. Kevin's bunt attempt rolls directly back to the waiting catcher.
E. Billy's hard-hit line drive bounces off the pitcher's protective screen.
F. The umpire calls a strike, even though the last pitch was way outside.
G. Tommy's grounder to third base results in him being thrown out.
H. The count is two balls and two strikes as Mario waits for the next pitch.
I. Jared's blooper over the head of the short-stop puts him in scoring position.
J. Mike's sharp hit down the line gets caught by diving first baseman.
Answer: I
Which of the following statements about journalism and media are incorrect?1. In the innovation diffusion theory, Rogers' innovation adoption model consists of four stages-knowledge, persuasion, decision, and confirmation-and emphasizes that mass communication has a significant influence in the decision and confirmation stages, but little impact on the knowledge and persuasion stages. 2. Essential truth cannot reflect journalistic truth. 3. William Stephenson's media "toy theory" suggests that media activities are primarily aimed at satisfying people's material needs through entertainment and advertising, serving utilitarian purposes rather than focusing on spiritual needs. 4. Lazarsfeld and Merton's "narcotizing dysfunction theory" suggests that mass media inherently serves evil, primarily spreading violence and pornography, which negatively impacts youth, thus it should not be controlled.

Options:
A. 1,2
B. 4
C. 1,3,4
D. 2,4
E. 2,3,4
F. 1,2,4
G. 1,2,3
H. 3,4
I. 1,4
J. 2,3
Answer: C
The dance "she sheng si hu" dances ()

Options:
A. 赞法飞天
B. 散花飞天
C. 念法飞天
D. 演法飞天
E. 持法飞天
F. 颂法飞天
G. 礼法飞天
H. 闻法飞天
I. 涅槃飞天
J. 传法飞天
Answer: A
Which of the following statements about dance are correct?
1. The choreographic method used in "Swan Lake Act II" is symphonic choreography
2. Group dance is one of the dance forms used in "Swan Lake Act II"
3. Classical ballet allows the use of everyday life movements
4. The beginning period of Chinese Classical Dance was the Pre-Qin period

Options:
A. 2,3
B. 4
C. 1,2,3,4
D. 1,2
E. 1,3,4
F. 2,3,4
G. 3,4
H. 1,2,4
I. 1,4
J. 1,2,3
Answer: B
Establish the combustion reaction equation for the mixture of KClO₃ and phenolic resin.

Options:
A. $$
3 4 \mathrm{K C l O}_{3} \,+\, 5 \mathrm{C}_{1 3} \, \mathrm{H}_{1 2} \, \mathrm{O}_{2} \longrightarrow\, 1 7 \mathrm{K}_{2} \, \mathrm{O} \,+\, 3 4 \mathrm{C l O}_{2} \,+\, 3 0 \mathrm{H}_{2} \,+\, 6 5 \mathrm{CO}
$$
B. $$
3 4 \mathrm{K C l O}_{3} \,+\, 5 \mathrm{C}_{1 3} \, \mathrm{H}_{1 2} \, \mathrm{O}_{2} \longrightarrow\, 3 4 \mathrm{K O} \,+\, 1 7 \mathrm{C l}_{2} \,+\, 3 0 \mathrm{H}_{2} \, \mathrm{O} \,+\, 6 5 \mathrm{C O}_{2}
$$
C. $$
3 4 \mathrm{K C l O}_{3} \,+\, 5 \mathrm{C}_{1 3} \, \mathrm{H}_{1 2} \, \mathrm{O}_{2} \longrightarrow\, 1 7 \mathrm{K}_{2} \, \mathrm{O} \,+\, 3 4 \mathrm{C l O} \,+\, 3 0 \mathrm{H}_{2} \, \mathrm{O} \,+\, 6 5 \mathrm{C}
$$
D. $$
3 4 \mathrm{K C l O}_{3} \,+\, 5 \mathrm{C}_{1 3} \, \mathrm{H}_{1 2} \, \mathrm{O}_{2} \longrightarrow\, 1 7 \mathrm{K}_{2} \,+\, 1 7 \mathrm{C l}_{2} \,+\, 4 7 \mathrm{O}_{2} \,+\, 3 0 \mathrm{H}_{2} \, \mathrm{O}
$$
E. $$
3 4 \mathrm{K C l O}_{3} \,+\, 5 \mathrm{C}_{1 3} \, \mathrm{H}_{1 2} \, \mathrm{O}_{2} \longrightarrow\, 1 7 \mathrm{K}_{2} \, \mathrm{O}_{2} \,+\, 1 7 \mathrm{C l}_{2} \,+\, 3 0 \mathrm{H}_{2} \,+\, 6 5 \mathrm{C O}
$$
F. $$
3 4 \mathrm{K C l O}_{3} \,+\, 5 \mathrm{C}_{1 3} \, \mathrm{H}_{1 2} \, \mathrm{O}_{2} \longrightarrow\, 1 7 \mathrm{K}_{2} \, \mathrm{O} \,+\, 1 7 \mathrm{C l}_{2} \,+\, 1 5 \mathrm{H}_{2} \, \mathrm{O}_{2} \,+\, 6 5 \mathrm{CO}
$$
G. $$
3 4 \mathrm{K C l O}_{3} \,+\, 5 \mathrm{C}_{1 3} \, \mathrm{H}_{1 2} \, \mathrm{O}_{2} \longrightarrow\, 1 7 \mathrm{K}_{2} \, \mathrm{O} \,+\, 1 7 \mathrm{C l}_{2} \,+\, 6 0 \mathrm{H}_{2} \,+\, 6 5 \mathrm{C O}_{2}
$$
H. $$
3 4 \mathrm{K C l O}_{3} \,+\, 5 \mathrm{C}_{1 3} \, \mathrm{H}_{1 2} \, \mathrm{O}_{2} \longrightarrow\, 3 4 \mathrm{K O} \,+\, 3 4 \mathrm{C l} \,+\, 1 5 \mathrm{H}_{2} \, \mathrm{O}_{2} \,+\, 6 5 \mathrm{C O}_{2}
$$
I. $$
3 4 \mathrm{K C l O}_{3} \,+\, 5 \mathrm{C}_{1 3} \, \mathrm{H}_{1 2} \, \mathrm{O}_{2} \longrightarrow\, 1 7 \mathrm{K}_{2} \, \mathrm{O} \,+\, 1 7 \mathrm{C l}_{2} \,+\, 3 0 \mathrm{H}_{2} \, \mathrm{O} \,+\, 6 5 \mathrm{C O}_{2}
$$
J. $$
3 4 \mathrm{K C l O}_{3} \,+\, 5 \mathrm{C}_{1 3} \, \mathrm{H}_{1 2} \, \mathrm{O}_{2} \longrightarrow\, 1 7 \mathrm{K}_{2} \, \mathrm{O} \,+\, 3 4 \mathrm{C l} \,+\, 3 0 \mathrm{H}_{2} \, \mathrm{O} \,+\, 6 5 \mathrm{C O}_{2}
$$
Answer: I
Which of the following statements about ship cargo operations is incorrect?
1.During anchoring operations, if there are two white-marked chain links on both sides of the connecting link in the water, it indicates that 4 shots of anchor chain are in the water.2.To accurately track the number of anchor chain shots paid out or heaved in, markings must be made on each shot of the chain. As a result, the marking method for the 6th shot is exactly the same as the marking method for the 2nd shot.3.When using V-type heavy lifting to shift cargo through cargo blocks at the hatch, first raise the derrick angle to 80-82 degrees, then use the cargo blocks to pull the derrick past the dead point.4.When inspecting cargo handling equipment, lightly tapping shackles, swivels, hooks, blocks and other metal components with a small hammer and listening to the sound can determine the degree of component wear.

Options:
A. 4
B. 2,3
C. 2,3,4
D. 1,2,4
E. 2,4
F. 1,4
G. 1,2,3,4
H. 3
I. 1,3
J. 1,2,3
Answer: G
A logical paradox refers to a situation where two contradictory conditions or statements exist within a proposition, causing the chooser to fall into a dilemma in terms of thinking logic and decision-making. This is what is known as a logical paradox.
Which of the following is a logical paradox?

Options:
A. One day, the big bad wolf caught a sheep and said to the sheep: 'If I am in a good mood, I will let you go; if I am in a bad mood, I will eat you. If you guess whether I am in a good mood or not, and you guess correctly, I will let you go.' The sheep quickly said: 'You are in a good mood.' The big bad wolf then let the sheep go.
B. Li Hua goes to the podium to receive a prize and finds two boxes. Only one of them contains a prize. The box on the left says 'Open me, no prize', and the box on the right says 'Open me, there is a prize'.
C. One day, a shop was robbed, and the police caught two suspects. It was certain that one of them had committed the crime. The police asked who did it. The tall suspect said: 'The short suspect did it.' The short suspect said: 'The tall suspect did it.' After investigation, the police found that both of them were lying.
D. David plans to travel to a certain place. Tom says: 'David plans to go to place A.' Tony says: 'David plans to go to place B.' The teacher finally says: 'You are both wrong.'
Answer: C
Which of the following statements is TRUE regarding Dijkstra's shortest path algorithm?

Options:
A. The vertex with the maximum weight among all adjacent vertices is not always included in the shortest path.
B. The shortest paths from a source to all other vertices form a spanning tree.
C. All vertices in the priority queue during algorithm execution must satisfy optimality conditions.
D. A vertex with the largest current tentative distance will never be on a shortest path from the source.
E. A vertex with the smallest current tentative distance will always be on a shortest path from the source.
F. The condition that the tentative distance from the source to a vertex is the smallest among all current distances is both necessary and sufficient for the vertex to be on the shortest path.
G. If all edge weights are distinct, the shortest path is unique.
H. Dijkstra's algorithm can be used with negative edge weights.
I. The shortest path from a source to any given vertex is always unique.
J. The path with the fewest edges is always the shortest path.
Answer: F
Who first proposed the concept of media literacy?

Options:
A. Aspen Media Literacy Education Leadership Association in 1992
B. Frank Raymond Leavis and Dennis Thomas
C. Aspen Media Literacy Education Leadership Association in 1995
D. Bembagdi Ken and John Levin
Answer: B
Let P be the statement "Xiaohua's body has not fully recovered," and Q be the statement "Xiaohua eats some nutritious food." Given S(P) = 0.8 and S(Q) = 0.7, where S represents the truth value of a fuzzy proposition, what is the truth value of the fuzzy implication "If Xiaohua's body has not fully recovered, then Xiaohua eats some nutritious food"?

Options:
A. 0.8
B. 1.0
C. 0.3
D. 0.2
E. 0.5
F. 0.7
G. 0.6
H. 0.1
I. 0.4
J. 0.9
Answer: F
Determine which of the following statements regarding groups and subgroups is INCORRECT.

Options:
A. Every group has at least two subgroups (itself and the trivial subgroup).
B. A subgroup can have 2007 elements.
C. Every subgroup is a subset of the group.
D. If the intersection of subgroups G and H has 2 elements, the union of G and H is not necessarily an empty set.
E. If the intersection of two subgroups contains only the identity element, the two subgroups might still have elements in common (besides the identity).
F. A group with 15 elements may not have a subgroup with 5 elements (depending on the group's structure).
G. The intersection of two subgroups is not necessarily a subgroup of either subgroup.
H. A group with 13 elements can have subgroups.
I. The union of all subgroups of a group is equal to the original group.
J. The intersection of a subgroup with itself is the subgroup itself.
Answer: G
Consider the following statements about groups and rings. How many of these statements are TRUE?
1. If H is a normal subgroup of G and K is a normal subgroup of H, then K is a normal subgroup of G.
2. For i = 1, 2, let Hᵢ be a normal subgroup of Gᵢ. If H₁ ≅ H₂ and G₁ ≅ G₂, then G₁/H₁ ≅ G₂/H₂.
3. All nontrivial subgroups of a nontrivial cyclic group are cyclic.
4. If N and M are normal subgroups of G, then M ∩ N is a normal subgroup of G/N.
5. If P is a Sylow p-subgroup of G, then the normalizer of P in G is normal in G.
6. A semi-direct product of two finite Abelian groups is solvable.
7. A homomorphism φ: Z₁₂ → Z₃₅ × Z₉₅ of groups must be the trivial homomorphism.
8. Every integral domain is a field.
9. The direct product of two integral domains is again an integral domain.
10. If R is a principal ideal domain (PID), then R[x] is a PID.

Options:
A. 4
B. 7
C. 3
D. 0
E. 2
F. 8
G. 9
H. 6
I. 10
J. 5
Answer: A
How many of the following logical argument forms and inferences are valid?
1. All S are P. Therefore, some S are P.
2. Some S are P. Therefore, some P are S.
3. No S are P. Therefore, it is not the case that some S are P.
4. Some S are P. Therefore, it is not the case that all S are P.
5. All S are P. Therefore, it is not the case that no S are P.
6. If not p, then q; p, therefore q.
7. p if and only if q; not p, therefore not q.
8. If p, then q; not p, therefore not q.
9. Only if p, then q; not q, therefore not p.
10. If and only if p, then q; not p, therefore not q.

Options:
A. 3
B. 7
C. 8
D. 0
E. 6
F. 4
G. 5
H. 2
I. 1
J. 9
Answer: F
Which of the following statements are the reasons for the rise of modern Chinese literature? (Choose the option that contains all the correct statements)
I. The inevitable trend of literary development.
II. The stimulation of foreign literature, especially the influence of Western literature.
III. The influence of ideological revolution.

Options:
A. I, II, and III
B. Only I
C. I and III
D. II and III
E. Only III
F. I and II
G. Only II
Answer: A
The volume of the solid of revolution obtained by rotating the figure enclosed by the parabola \( y^2 = 4ax \) and the line \( x = x_0 \) (where \( x_0 > 0 \)) around the x-axis is \( = \).

Options:
A. \(\frac{6}{3} a^2\)
B. \(\frac{12}{3} a^2\)
C. \(rac{32}{3} a^2\)
D. \(\frac{8}{3} a^2\)
E. \(\frac{14}{3} a^2\)
F. \(rac{16}{3} a^2\)
G. \(\frac{9}{3} a^2\)
H. \(\frac{10}{3} a^2\)
I. \(\frac{7}{3} a^2\)
J. \(rac{4}{3} a^2\)
Answer: D