MikaStars39/nano-eval huggingface dataset:
The impact of bleed air from intermediate stages of the compressor, variable stator vanes, and changing nozzle area on engine performance (thrust and fuel consumption rate) is ( ).

Options:
A. Bleed air from intermediate stages of the compressor, thrust decreases, fuel consumption rate increases
B. Nozzle area increases, thrust decreases, fuel consumption rate decreases
C. Bleed air from intermediate stages of the compressor, thrust decreases, fuel consumption rate slightly decreases
D. Nozzle area decreases, thrust increases, fuel consumption rate increases
E. Bleed air from intermediate stages of the compressor, thrust slightly decreases, fuel consumption rate slightly increases
F. Bleed air from intermediate stages of the compressor, thrust slightly decreases, fuel consumption rate increases
G. Variable stator vanes, engine thrust slightly decreases, fuel consumption rate slightly increases
H. Bleed air from intermediate stages of the compressor, thrust slightly increases, fuel consumption rate slightly increases
I. Bleed air from intermediate stages of the compressor, thrust slightly increases, fuel consumption rate increases
J. Bleed air from intermediate stages of the compressor, thrust slightly increases, fuel consumption rate slightly decreases
Answer: A
In the 13th chapter of 'The Art of War' by Sun Tzu, 'The Use of Spies': 'Therefore, a wise ruler and a good general who can move and conquer the enemy, and whose achievements surpass those of the masses, must have prior knowledge. Prior knowledge cannot be obtained from spirits, nor can it be imaged in things, nor can it be verified by measurement; it must be obtained from people, those who know the enemy's situation.' This passage reflects the ( ) of 'The Art of War' by Sun Tzu.

Options:
A. subjective idealist thought
B. theistic thought
C. naive dialectical materialism
D. naive dialectical idealism
E. naive dialectical thought
F. naive materialist spirit
G. naive idealist spirit
H. empirical materialist spirit
I. familiarity with primitive dialectics
J. naive empiricist spirit
Answer: F
According to Kant's argument, which of the following cannot engage in synthetic unification activities?

Options:
A. imagination
B. empirical intuition
C. empirical apperception
D. pure apperception
E. inner sense
F. outer sense
Answer: F
The turning point of the alternation of generations in the life cycle of angiosperms is

Options:
A. formation of the gametes
B. fertilization of the egg
C. mitosis
D. maturation of pollen and embryo sac
E. fertilization
F. formation of the zygote
G. fertilization of the zygote
H. meiosis
I. formation of the embryo
J. germination of the seed
Answer: H
A steel plant increased the amount of prepaid capital due to the rise in iron ore prices, which changed the capital composition of the plant. The changed capital composition is ()

Options:
A. Organic Composition of Capital (due to a change in the ratio of fixed to circulating capital)
B. Value Composition of Capital (due to a change in the ratio of constant to variable capital)
C. Value Composition of Capital
D. Organic Composition of Capital (due to a change in the ratio of constant to variable capital and fixed to circulating capital)
E. Value Composition of Capital (due to a change in the ratio of variable to constant capital)
F. Organic Composition of Capital
G. Technical Composition of Capital
H. Material Composition of Capital
I. Organic Composition of Capital (due to a change in the ratio of constant to variable capital)
J. Value Composition of Capital (due to a change in the ratio of fixed to circulating capital)
Answer: C
\( \int{\frac{1}{{x}^{2}+2x+3}dx} \)

Options:
A. \frac{1}{\sqrt{2}} \arctan \frac{x+1}{\sqrt{2}} + C
B. \( rac{1}{2} rctan rac{x+1}{\sqrt{2}} + C \)
C. \frac{1}{2\sqrt{2}} \arctan \frac{x+1}{\sqrt{2}} + C
D. \( rac{\sqrt{2}}{2} \operatorname{arc} \cot rac{x+1}{\sqrt{2}} + C \)
E. \frac{1}{2} \arctan \frac{x+1}{2} + C
F. \frac{\sqrt{2}}{2} \arctan \frac{x+1}{2} + C
G. \frac{1}{2} \arctan \frac{x+1}{2\sqrt{2}} + C
H. \frac{\sqrt{2}}{2} \arctan \frac{x+1}{2\sqrt{2}} + C
I. \( rac{1}{2} \operatorname{arc} \cot rac{x+1}{\sqrt{2}} + C \)
J. \( \frac{\sqrt{2}}{2} \arctan \frac{x+1}{\sqrt{2}} + C \)
Answer: J
Xi Jinping pointed out: 'The great social transformation of contemporary China is not a simple continuation of the mother version of China's historical culture, not a simple application of the template envisaged by Marxist classic writers, not a reenactment of the socialist practices of other countries, and not a copy of the development of foreign modernization.' This enlightens us about the general principles of scientific socialism is ( )

Options:
A. Scientific socialism is a historical continuation of the fine cultural traditions of mankind
B. Scientific socialism has no inevitable connection with the capitalist mode of production
C. Scientific socialism has different contents and forms in different eras
D. Scientific socialism is a flexible framework that can be adapted to different contexts but must maintain certain rigid principles
E. Scientific socialism is a rigid framework that allows for slight modifications in practice
F. Scientific socialism is a rigid framework that allows for slight modifications
G. Scientific socialism is a flexible framework that can be adapted to different contexts but maintains core principles
H. Scientific socialism is a rigid dogma that must be strictly followed
I. Scientific socialism is by no means a rigid dogma
J. Scientific socialism is a flexible dogma that can be adapted to different contexts but must maintain certain rigid principles
Answer: I
Indefinite integral $\int{{\cos}^{2}x{\sin}^{3}x\,dx=}$

Options:
A. -\frac{1}{5}{\cos}^{5}x-\frac{1}{3}{\cos}^{3}x+C
B. -\frac{1}{5}{\cos}^{5}x+\frac{1}{3}{\sin}^{3}x+C
C. \frac{1}{5}{\cos}^{5}x+\frac{1}{3}{\cos}^{3}x+C
D. $rac{1}{5}{\sin}^{5}x-rac{1}{3}{\sin}^{3}x+C$
E. -\frac{1}{5}{\sin}^{5}x-\frac{1}{3}{\sin}^{3}x+C
F. $-rac{1}{5}{\cos}^{5}x+rac{1}{3}{\cos}^{3}x+C$
G. $-rac{1}{5}{\sin}^{5}x+rac{1}{3}{\sin}^{3}x+C$
H. $\frac{1}{5}{\cos}^{5}x-\frac{1}{3}{\cos}^{3}x+C$
I. \frac{1}{5}{\sin}^{5}x+\frac{1}{3}{\sin}^{3}x+C
J. -\frac{1}{5}{\cos}^{5}x+\frac{1}{3}{\cos}^{3}x+C
Answer: H
Given: the wave function of a harmonic oscillator $\psi_n(x)=\left(\frac{\alpha}{\sqrt{\pi}2^nn!}\right)^{1/2}e^{-\alpha^2x^2/2}H_n(\alpha x)$, which of the following relations about the wave function of the harmonic oscillator is correct?

Options:
A. $rac{d^2}{d x^2}\psi_n(x)=rac{lpha^2}{4}[\sqrt{n(n+1)}\psi_{n-1}(x)-(2n+1)\psi_n(x)+\sqrt{(n+1)(n+2)}\psi_{n+1}(x)]$
B. $\frac{d^2}{d x^2}\psi_n(x)=\frac{\alpha^2}{2}[\sqrt{n(n-1)}\psi_{n-1}(x)-(2n+1)\psi_n(x)+\sqrt{(n+1)(n+2)}\psi_{n+1}(x)]$
C. $rac{d^2}{d x^2}\psi_n(x)=rac{lpha^2}{2}[\sqrt{n(n+1)}\psi_{n-1}(x)-(2n-1)\psi_n(x)+\sqrt{(n-1)(n+2)}\psi_{n+1}(x)]$
D. $\frac{d^2}{d x^2}\psi_n(x)=\frac{\alpha^2}{2}[\sqrt{n(n-1)}\psi_{n-1}(x)-(2n+1)\psi_n(x)+\sqrt{(n+1)(n+2)}\psi_{n+1}(x)] + \alpha \psi_n(x)$
E. $\frac{d^2}{d x^2}\psi_n(x)=\frac{\alpha^2}{2}[\sqrt{n(n-1)}\psi_{n-1}(x)-(2n+1)\psi_n(x)+\sqrt{(n+1)(n+2)}\psi_{n+1}(x)] + \alpha^2 \psi_n(x)$
F. $\frac{d^2}{d x^2}\psi_n(x)=\frac{\alpha^2}{2}[\sqrt{n(n-1)}\psi_{n-1}(x)-(2n-1)\psi_n(x)+\sqrt{(n+1)(n+2)}\psi_{n+1}(x)] + \alpha \psi_n(x)$
G. $\frac{d^2}{d x^2}\psi_n(x)=\frac{\alpha^2}{2}[\sqrt{n(n-1)}\psi_{n-1}(x)-(2n-1)\psi_n(x)+\sqrt{(n+1)(n+2)}\psi_{n+1}(x)]$
H. $\frac{d^2}{d x^2}\psi_n(x)=\frac{\alpha^2}{2}[\sqrt{n(n-1)}\psi_{n-1}(x)-(2n-1)\psi_n(x)+\sqrt{(n+1)(n+2)}\psi_{n+1}(x)] + \alpha^2 \psi_n(x)$
I. $\frac{d^2}{d x^2}\psi_n(x)=\frac{\alpha^2}{2}[\sqrt{n(n-1)}\psi_{n-1}(x)-(2n+1)\psi_n(x)+\sqrt{(n+1)(n+2)}\psi_{n+1}(x)] - \alpha^2 \psi_n(x)$
Answer: B
The core issue of the reproduction of the total social capital is

Options:
A. The realization of the total social product, i.e., the value replacement and physical compensation of the total social product.
B. the conditions of capital circulation
C. The distribution of the total social product, i.e., the allocation of the total social product among different sectors.
D. The realization of the total social product, i.e., the value replacement and physical replacement of the total social product.
E. the speed of capital turnover
F. The realization of the total social product, i.e., the value compensation and physical replacement of the total social product.
G. The realization of the total social product, i.e., the value compensation and physical compensation of the total social product.
H. market mechanism issues
Answer: G
The process by which managers motivate employees through various measures and means to meet their needs, stimulating their work motivation, mobilizing their potential abilities and creativity, thereby efficiently achieving the project team's goals is

Options:
A. project team motivation
B. personal goal achievement
C. project team member engagement
D. project team member motivation
E. project team performance evaluation
F. project team member motivation techniques
G. project team member engagement strategies
H. project team member motivation strategies
I. project team motivation strategies
J. project team performance improvement
Answer: D
The main mechanism by which inadequate perfusion of the gastrointestinal tract and liver leads to the deterioration of shock is ()

Options:
A. systemic inflammatory response syndrome
B. impaired intestinal barrier function
C. causing malnutrition
D. intestinal endotoxemia
E. impaired liver detoxification
F. impaired intestinal mucosal integrity
G. increased production of vasodilatory substances
H. impaired glucose metabolism
I. inducing the occurrence of DIC
J. increased permeability of the intestinal wall
Answer: D
A 35-year-old male. One hour after a car accident causing head and limb injuries, he feels thirsty and has reduced urine output. Physical examination: T 36.1°C, P 116 beats/min, R 20 breaths/min, BP 88/70 mmHg. He is conscious but appears distressed, with cold extremities. The principle of fluid replacement at this time should be ()

Options:
A. Replace as much as tolerated, but monitor for signs of fluid deficit and overload
B. Replace as much as tolerated, but monitor for signs of fluid deficit
C. Replace as much as tolerated, but prioritize signs of fluid overload over deficit
D. Replace as much as needed
E. Replace as much as tolerated, but prioritize signs of fluid deficit over overload
F. Replace as much as tolerated, but monitor for signs of fluid overload
G. No need to replace if blood pressure is normal
H. Replace as much as lost
I. Better more than less
J. Replace as much as tolerated
Answer: D
\( \int \sec^3 x \, dx \) = ( )

Options:
A. \\( \\frac{1}{2} \\sec x \\tan x - \\frac{1}{2} \\ln \\left| \\sec x - \\cot x \\right| + C \\)
B. \\( \\frac{1}{2} \\sec x \\tan x + \\frac{1}{2} \\ln \\left| \\sec x - \\tan x \\right| + C \\)
C. \\( \\frac{1}{2} \\sec x \\tan x + \\frac{1}{2} \\ln \\left| \\sec x + \\tan x \\right| + C \\)
D. \\( \\frac{1}{2} \\sec x \\tan x - \\frac{1}{2} \\ln \\left| \\sec x + \\tan x \\right| + C \\)
E. \(\frac{1}{2} \sec x \tan x - \frac{1}{2} \ln \left| \sec x + \cot x \right| + C \)
F. \\( \\frac{1}{2} \\sec x \\tan x - \\frac{1}{2} \\ln \\left| \\sec x + \\cot x \\right| + C \\)
G. \\( \\frac{1}{2} \\sec x \\tan x - \\frac{1}{2} \\ln \\left| \\sec x - \\tan x \\right| + C \\)
H. \( -\frac{1}{2} \csc x \tan x + \frac{1}{2} \ln \left| \sec x - \cot x \right| + C \)
I. \( \frac{1}{2} \sec x \cot x - \frac{1}{2} \ln \left| \sec x + \tan x \right| + C \)
J. \( -\frac{1}{2} \sec x \tan x - \frac{1}{2} \ln \left| \csc x + \tan x \right| + C \)
Answer: C
Let the joint probability density function of the two-dimensional continuous random variable (X,Y) be f(x,y) = 24(1-x)y, where 0<y<x<1, find E(X|y), 0<y<1

Options:
A. 2y/3 + 1/6
B. y/4 + 1/2
C. 2y/3 + 1/4
D. 2y/3+1
E. 3y/4+1/4
F. y/3 + 1/2
G. y/3+1/3
H. 2y/3 + 1/3
I. y/3 + 1/4
J. y/3 + 1/6
Answer: G
The main plot thread of 'Camel Xiangzi' is ()

Options:
A. Xiangzi's repeated failures to buy a car and find a stable job
B. Xiangzi's repeated efforts to save money for a better life
C. Xiangzi's repeated efforts to save money for a car and a better life
D. Xiangzi's repeated efforts to save money for a car and a home
E. Xiangzi's three attempts and failures to buy a car
F. Xiangzi's emotional entanglement with Hu Niang
G. The conflict between Hu Niang, Xiangzi, and Liu Si
H. Xiangzi's struggle to find a stable job and home
I. The conflict between Xiangzi, Liu Si, and Hu Niang
J. Xiangzi's repeated efforts to save money for a car and a better future
Answer: E
If \( A = \left( \begin{array}{cc} a_1 & b_1 \\ a_2 & b_2 \\ a_3 & b_3 \end{array} \right), B = \left( \begin{array}{ccc} a_1 & b_1 & c_1 \\ a_2 & b_2 & c_2 \\ a_3 & b_3 & c_3 \end{array} \right) \), and three different lines \( a_ix + b_iy + c_i = 0 (i = 1,2,3) \) intersect at one point, then the ranks of matrices \( A \) and \( B \) satisfy ( )

Options:
A. \( R(A)=2, R(B)=2 \)
B. \( R(A)=2, R(B)=3 \)
C. \( 2R(A)=R(B)=2 \)
D. \( R(A)=R(B)=0 \)
E. \( R(A)=1, R(B)=3 \)
F. \( R(A)=1, R(B)=2 \)
G. \( R(A)=2, R(B)=0 \)
H. \( R(A)=R(B)=2 \)
I. \( R(A)=2, R(B)=1 \)
J. \( R(A)=1, R(B)=1 \)
Answer: H
Xunzi's concept of "Xu Yi Er Jing" (emptiness, unity, and tranquility) in his theory of dispelling obscurantism is similar to which modern Western philosopher's view?

Options:
A. Feuerbach
B. Spinoza
C. Descartes
D. Hegel
E. Kant
F. Hobbes
G. Nietzsche
Answer: D
The 'Plain Questions: Great Treatise on the Response and Images of Yin and Yang' discusses the thickness and thinness of the flavors and properties of medicines and foods, pointing out that the function of those with a thick qi is:

Options:
A. to warm the exterior and dispel wind
B. to tonify and nourish essence and blood
C. to disperse and induce sweating
D. to assist yang and induce heat
E. to promote urination
F. to warm the interior and dispel cold
G. to purge and expel evil qi
H. to warm the exterior and induce sweating
I. to assist yang and promote circulation
J. to strengthen yang and promote circulation
Answer: D
If the sensitivity of an HIV blood test (i.e., the probability of testing positive for those who actually have the disease) is 95%, and the accuracy of the test for those who do not have the disease (i.e., the probability of testing negative for those who do not have the disease) is 99%. It is estimated that about one in a thousand people in the country where Zhang San lives have this disease. Then ______.

Options:
A. The probability of having AIDS given a negative test result is approximately 0.0053%
B. The probability of having AIDS given a negative test result is approximately 0.015%
C. The probability of having AIDS given a negative test result is approximately 0.01%
D. The probability of having AIDS given a negative test result is approximately 0.0051%
E. The probability of having AIDS given a negative test result is approximately 0.0052%
F. The probability of having AIDS given a negative test result is 0
G. The probability of having AIDS given a negative test result is approximately 0.0049%
H. The probability of having AIDS given a positive test result is 100%
I. The probability of having AIDS given a positive test result is approximately 8.7%
J. The probability of having AIDS given a negative test result is approximately 0.0055%
Answer: D
A citizen of a certain province, Citizen A, suffered from a serious illness and received treatment in a hospital for many years without improvement. A, in unbearable pain and wishing to end his life, told Doctor B that he felt better and asked B to stop active medication. B understood A's intention, and three days later, A passed away. Regarding this case, which of the following statements is correct?

Options:
A. B's actions, while not clearly defined under the Constitution, may still be subject to ethical guidelines and professional standards in the medical field, and could be considered a form of active euthanasia
B. B's actions, while not clearly defined under the Constitution, may still be subject to ethical guidelines and professional standards in the medical field, and could be considered a form of assisted suicide
C. B's actions have not been clearly defined under our Constitution and laws
D. A's death was achieved through B's compliance, B violated Article 37 of the Constitution regarding personal freedom, and should therefore bear criminal responsibility for intentional homicide
E. B's actions, while not clearly defined under the Constitution, may still be subject to ethical guidelines and professional standards in the medical field, and could be considered a form of compassionate care
F. According to Article 38 of our Constitution, A's dignity was violated
G. B violated A's right to life
H. B's actions, while not clearly defined under the Constitution, may still be subject to ethical guidelines and professional standards in the medical field, and could be considered a form of passive euthanasia
I. B's actions, while not clearly defined under the Constitution, may still be subject to ethical guidelines and professional standards in the medical field, and could be considered a form of assisted dying
J. B's actions, while not clearly defined under the Constitution, may still be subject to ethical guidelines and professional standards in the medical field
Answer: C
The equation ( y&#39; + {y over x} = {1 over { { x^2}}} ) is ( ).

Options:
A. a first-order homogeneous equation
B. a second-order linear differential equation
C. a first-order homogeneous linear differential equation with variable coefficients
D. a first-order linear differential equation with variable coefficients
E. a first-order non-homogeneous differential equation
F. none of the above
G. a first-order linear differential equation
H. a first-order separable differential equation
I. a first-order non-homogeneous linear differential equation
J. a first-order homogeneous linear differential equation
Answer: G
Plekhanov said before the October Revolution: 'Russian history has not yet ground the flour to bake a socialist pie.' What does this mean?

Options:
A. Russia was not yet industrially advanced enough for a socialist revolution
B. Russia was not yet politically organized for a socialist revolution
C. Russia was not yet ready for a socialist revolution
D. Russia was not yet culturally prepared for a socialist revolution
E. Russia was not yet economically developed enough for a socialist revolution
F. Socialist theory does not fit the Russian national conditions
G. Russia cannot carry out a socialist revolution
H. Russia was not yet socially cohesive enough for a socialist revolution
I. Russia was not yet culturally advanced enough for a socialist revolution
J. Russia should only carry out a bourgeois democratic revolution
Answer: C
\( \int_{\frac{\pi }{4}}^{\frac{\pi }{3}}{\frac{x}{{\sin^{2}}x}dx} = \) ( )

Options:
A. \left( \frac{1}{4} - \frac{\sqrt{3}}{9} \right)\pi + \frac{1}{2}\ln \frac{2}{3}
B. \( \left( \frac{1}{4} - \frac{\sqrt{3}}{9} \right)\pi + \frac{1}{2}\ln \frac{3}{2} \)
C. \left( \frac{1}{4} + \frac{\sqrt{3}}{9} \right)\pi - \frac{1}{2}\ln \frac{3}{2}
D. \( \left( rac{1}{4} - rac{\sqrt{3}}{9} ight)\pi - rac{1}{2}\ln rac{3}{2} \)
E. \left( \frac{1}{4} + \frac{\sqrt{3}}{9} \right)\pi + \frac{1}{2}\ln \frac{3}{2}
F. \left( \frac{1}{4} + \frac{\sqrt{3}}{9} \right)\pi + \frac{1}{2}\ln \frac{2}{3}
G. \\left( \\frac{1}{4} + \\frac{\\sqrt{3}}{9} \\right)\\pi + \\frac{1}{2}\\ln \\frac{2}{3} \\)
H. \( \left( rac{1}{4} + rac{\sqrt{3}}{9} ight)\pi - rac{1}{2}\ln rac{3}{2} \)
I. \( \left( rac{1}{4} + rac{\sqrt{3}}{9} ight)\pi + rac{1}{2}\ln rac{3}{2} \)
J. \left( \frac{1}{4} - \frac{\sqrt{3}}{9} \right)\pi - \frac{1}{2}\ln \frac{3}{2}
Answer: B
According to Kant, 'all objects have extension' belongs to which of the following judgments?

Options:
A. synthetic a posteriori judgment
B. synthetic analytic judgment
C. empirical analytic judgment
D. synthetic judgment
E. a posteriori judgment
F. synthetic analytic a posteriori judgment
G. empirical judgment
H. synthetic a priori judgment
I. analytic judgment
J. empirical synthetic judgment
Answer: I
Under the conditions of a socialist market economy, the realization of distribution according to work must rely on ( )

Options:
A. government regulation
B. planning methods
C. voluntary actions of enterprises
D. commodity and monetary policies
E. commodity and monetary relations
F. commodity and monetary exchange
G. commodity and monetary systems
H. government and enterprise coordination
I. market mechanisms and policies
J. commodity and monetary form
Answer: J
Which thinker evaluated the influence of the relationship between examiners and their disciples in the Tang Dynasty as 'Scholars who pass the imperial examinations regard the examiners as their patrons, and call themselves disciples, thus leading to the disaster of factionalism'?

Options:
A. Wang Yangming
B. Ouyang Xiu
C. Gu Yanwu
D. Wang Fuzhi
Answer: C
A 55-year-old male, experiencing dizziness, tinnitus, headache, and a feeling of fullness. These symptoms worsen with fatigue or anger, accompanied by facial flushing, irritability, insomnia with many dreams, a bitter taste in the mouth, a red tongue with yellow coating, and a wiry pulse. The syndrome belongs to ()

Options:
A. Liver Yang Rising
B. Kidney Yin Deficiency
C. Qi and Blood Deficiency
D. Liver Yang Rising with Phlegm
E. Liver Qi Stagnation with Heat
F. Liver Qi Stagnation
G. Kidney Yang Deficiency
H. Phlegm Obstructing the Middle
I. Liver Fire Excess with Phlegm
J. Liver Fire Excess
Answer: A
Given that \(f(x)\) and \(g(x)\) are both continuous on \(( - \infty , + \infty )\) and \(f(x) < g(x)\), then it must be true that ( ).

Options:
A. \(\lim \limits_{x \to {x_0}} f(x) \le \lim \limits_{x \to {x_0}} g(x) + 0.001\)
B. \(\lim \limits_{x \to {x_0}} f(x) < \lim \limits_{x \to {x_0}} g(x) + 0.5\)
C. \(\lim \limits_{x \to \infty } f(x) \le \lim \limits_{x \to \infty } g(x)\)
D. \(\lim \limits_{x \to {x_0}} f(x) < \lim \limits_{x \to {x_0}} g(x)\)
E. \(\lim \limits_{x \to {x_0}} f(x) < \lim \limits_{x \to {x_0}} g(x) + 0.05\)
F. \(\lim \limits_{x \to {x_0}} f(x) \le \lim \limits_{x \to {x_0}} g(x) + 0.01\)
G. \(\lim \limits_{x \to \infty } f(x) < \lim \limits_{x \to \infty } g(x)\)
H. \(\lim \limits_{x \to {x_0}} f(x) \le \lim \limits_{x \to {x_0}} g(x)\)
I. \(\lim \limits_{x \to {x_0}} f(x) < \lim \limits_{x \to {x_0}} g(x) + 1\)
J. \(\lim \limits_{x \to {x_0}} f(x) < \lim \limits_{x \to {x_0}} g(x) + 0.1 \)
Answer: H
A camera worth 10,000 yuan was mistakenly labeled with a price tag of 1,000 yuan. When a customer inquired about the price, the salesperson stated that the selling price was 1,000 yuan. Which of the following statements is correct?

Options:
A. The price tag posted is for an indefinite number of people, and it is an expression of intent without a specific party
B. The salesperson's expression of intent is an expression of intent with a specific party, but the literal interpretation should be adjusted to reflect the true intent.
C. The salesperson's expression of intent is an expression of intent with a specific party, but the literal interpretation should be adjusted to reflect the true intent of the salesperson.
D. The salesperson's expression of intent is an expression of intent with a specific party, but the literal interpretation should be adjusted to reflect the true intent of the customer.
E. The salesperson made an incorrect expression of intent, which is invalid
F. The salesperson's expression of intent is an expression of intent with a specific party, but the literal interpretation should be adjusted to reflect the true intent of the salesperson and the customer.
G. The salesperson's expression of intent is an expression of intent with a specific party, but due to the error in the expression, the content of the expression of intent should be determined according to the true intention of the salesperson
H. The salesperson's expression of intent is an expression of intent with a specific party, and the literal interpretation should be adopted.
I. The salesperson's expression of intent is an expression of intent with a specific party, but the literal interpretation should be adjusted to reflect the true intent of the store management.
J. The salesperson's expression of intent is an expression of intent with a specific party, but the literal interpretation should be adjusted to reflect the true intent of the store.
Answer: H
From the perspective of Marxism, what is the essence of human beings in their reality?

Options:
A. the sum total of all economic and social relations
B. eating when hungry and drinking when thirsty, clothing, food, housing, and transportation
C. the sum total of all political relations
D. the sum total of all economic relations
E. the sum total of all economic and political relations
F. the sum total of all social relations
G. a living natural existence
H. a collection of individual social interactions
I. the sum total of all individual relations
J. an abstract entity inherent in a single individual
Answer: F
Let the random variable \( X \sim N(0, 1) \), and let \( Y = 2X^2 + 1 \). Find the density function \( f_Y(y) \) of \( Y \) ( ).

Options:
A. \( f_Y(y) = \left\{ \begin{array}{ll} \frac{1}{2\sqrt{\pi (y-1)}} e^{-\frac{y-1}{2}}, & y > 1 \\ 0, & \text{otherwise} \end{array} \right. \)
B. \( f_Y(y) = \left\{ egin{array}{ll} rac{1}{\sqrt{\pi (y-1)}} e^{-rac{y-1}{4}}, & y > 3 \ 0, & \text{otherwise} \end{array} ight. \)
C. \( f_Y(y) = \left\{ \begin{array}{ll} \frac{1}{2\sqrt{\pi (y-1)}} e^{-\frac{y-1}{5}}, & y > 1 \\ 0, & \text{otherwise} \end{array} \right. \)
D. \( f_Y(y) = \left\{ egin{array}{ll} rac{1}{\sqrt{\pi (y-1)}} e^{-rac{y-1}{4}}, & y > 1 \ 0, & \text{otherwise} \end{array} ight. \)
E. \( f_Y(y) = \left\{ \begin{array}{ll} \frac{1}{2\sqrt{\pi (y-1)}} e^{-\frac{y-1}{6}}, & y > 1 \\ 0, & \text{otherwise} \end{array} \right. \)
F. \( f_Y(y) = \left\{ egin{array}{ll} rac{1}{2\sqrt{(y-1)}} e^{-rac{y-1}{3}}, & y > 1 \ 0, & \text{otherwise} \end{array} ight. \)
G. \( f_Y(y) = \left\{ \begin{array}{ll} \frac{1}{2\sqrt{\pi (y-1)}} e^{-\frac{y-1}{7}}, & y > 1 \\ 0, & \text{otherwise} \end{array} \right. \)
H. \( f_Y(y) = \left\{ \begin{array}{ll} \frac{1}{2\sqrt{\pi (y-1)}} e^{-\frac{y-1}{8}}, & y > 1 \\ 0, & \text{otherwise} \end{array} \right. \)
I. \( f_Y(y) = \left\{ \begin{array}{ll} \frac{1}{2\sqrt{\pi (y-1)}} e^{-\frac{y-1}{3}}, & y > 1 \\ 0, & \text{otherwise} \end{array} \right. \)
J. \( f_Y(y) = \left\{ \begin{array}{ll} \frac{1}{2\sqrt{\pi (y-1)}} e^{-\frac{y-1}{4}}, & y > 1 \\ 0, & \text{otherwise} \end{array} \right. \)
Answer: J
The 8th National Congress of the Communist Party of China correctly analyzed the main contradiction and the main task of Chinese society after the completion of socialist transformation. At that time, the fundamental task of the country was ( )

Options:
A. to protect and enhance productive forces within the new economic relations
B. to promote and safeguard economic growth under the new production relations
C. class struggle, strengthening people's democratic dictatorship
D. eliminating the system of exploitation
E. to protect and develop productive forces under the new production relations
F. to protect and enhance productive forces within the new production relations
G. to promote and enhance productivity within the new production relations
H. developing intra-party democracy and people's democracy
I. to enhance and expand economic reforms under the new production relations
J. to protect and enhance productive forces under the new production relations
Answer: E
Select the correct statement from the following.

Options:
A. If the repeated limit and one of the iterated limits exist, the other iterated limit must also exist and be equal to the repeated limit.
B. If the repeated limit and one of the iterated limits exist, the other iterated limit must also exist but may not be equal to the repeated limit.
C. If the iterated limits both exist, they must be equal.
D. If the repeated limit and the iterated limits both exist, they must be equal.
E. If the repeated limit and one of the iterated limits exist, the repeated limit must be equal to the existing iterated limit.
F. If the repeated limit and one of the iterated limits exist, the other iterated limit must also exist.
G. If the repeated limit and one of the iterated limits exist, they must be equal.
H. If the repeated limit and one of the iterated limits exist, the other iterated limit must also exist but may not be equal to the existing iterated limit.
I. If the repeated limit exists, the iterated limits must exist.
J. If the iterated limits both exist, the repeated limit must exist.
Answer: D
The two key experiments that proved DNA is the genetic material are: the transformation experiment with Streptococcus pneumoniae and the infection experiment with T2 phage. The common argument evidence from these two experiments is

Options:
A. The exogenous DNA absorbed by the organism (and not carbohydrates) altered its genetic potential
B. The exogenous DNA absorbed by the organism (and not lipids) altered its genetic potential
C. DNA cannot be transferred between organisms, so it must be a very conservative molecule
D. The exogenous DNA absorbed by the organism (and not RNA) altered its genetic potential
E. The exogenous DNA absorbed by the organism (and not RNA or lipids) altered its genetic potential
F. Re-isolating DNA from the infected organism as the causative agent of the disease
G. DNA mutations lead to loss of toxicity
H. The exogenous DNA absorbed by the organism (and not RNA or protein) altered its genetic potential
I. The exogenous DNA absorbed by the organism (and not DNA from another species) altered its genetic potential
J. The exogenous DNA absorbed by the organism (and not protein) altered its genetic potential
Answer: J
A 46-year-old female patient. One week ago, after an argument with a neighbor, she presented with symptoms of mental restlessness, sadness, and frequent crying, mental confusion, pale tongue, and taut pulse. The treatment method is:

Options:
A. moistening the liver and resolving depression, strengthening the spleen and calming the spirit
B. moistening the liver and resolving depression, nourishing the heart and calming the spirit
C. moistening and soothing the liver, strengthening the spleen and calming the spirit
D. soothing the liver and resolving depression, clearing the liver and purging fire
E. moistening the liver and resolving depression, tonifying qi and blood
F. strengthening the spleen and nourishing the heart, tonifying qi and blood
G. moistening the liver and resolving depression, strengthening the spleen and nourishing the heart
H. moistening and soothing the liver, nourishing the heart and calming the spirit
I. regulating qi and resolving depression, tonifying qi and blood
J. soothing the liver and resolving depression, regulating qi and promoting the middle
Answer: H
The general solution of the equation $y''+y= sin 2 x$ is

Options:
A. $y= C_1 sin x + C_2 cos x - \frac{cos 2x}{4}$
B. $y= C_1 x sin x + C_2 cos x - frac{x cos 2x}{2}$
C. $y= C_1 sin x + C_2 cos x + frac{x cos 2x}{2}$
D. $y= C_1 sin x + C_2 cos x - \frac{sin 2x}{6}$
E. $y= C_1 sin x + C_2 cos x - \frac{sin 2x}{4}$
F. $y= C_1 sin x + C_2 cos x - \frac{sin 2x}{8}$
G. $y= C_1 sin x + C_2 cos x -frac{cos 2x}{3}$
H. $y= C_1 sin x + C_2 cos x - \frac{sin 2x}{2}$
I. $y= C_1 sin x + C_2 cos x - \frac{sin 2x}{5}$
J. $y= C_1 sin x + C_2 cos x - frac{sin 2x}{3}$
Answer: J
The number of asymptotes of the curve \( y = \frac{x^2 + x}{x^2 - 1} \) is ( ).

Options:
A. 3
B. 1
C. 0
D. 2
E. 4
Answer: D
The compound M with the molecular formula C7H14 reacts with potassium permanganate solution to form 4-methylpentanoic acid and a gas is released. What is the structural formula of M?

Options:
A. CH3CH2CH=CHCH(CH3)2
B. (CH3)2CHCH2CH2CH=CH2
C. (CH3)3CCH=CHCH3
D. (CH3)2CHCH2CH=CHCH2CH3
E. (CH3)2CHCH2CH=CHCH3
F. (CH3)2CHCH2CH2CH=CHCH2
G. (CH3)2CHCH=C(CH3)2
H. (CH3)2CHCH2CH=CHCH2
I. (CH3)2CHCH2CH2CH=CHCH3
Answer: B
The following sets, under the usual definitions of addition and scalar multiplication, do not form a linear space ( )

Options:
A. All integrable functions `f` defined on `[0,1]` that satisfy `int_0^1 f(x) dx > 0`.
B. All rational functions where the degree of the numerator does not exceed the degree of the denominator;
C. All integrable functions `f` defined on `[0,1]` that satisfy `int_0^1 f(x) dx = 0`.
D. All functions `f` defined on any interval containing `0` and `1` that satisfy `2f(0)=f(1)`;
E. All functions `f` that satisfy `lim_{x to +infty} f(x) = 0`
F. All integrable functions `f` defined on `[0,1]` that satisfy `int_0^1 f(x) dx > -1` and `int_0^1 f(x) dx < 1`.
G. All integrable functions `f` defined on `[0,1]` that satisfy `int_0^1 f(x) dx ge 0`.
H. All integrable functions `f` defined on `[0,1]` that satisfy `int_0^1 f(x) dx = 1`.
I. All integrable functions `f` defined on `[0,1]` that satisfy `int_0^1 f(x) dx < 0`.
J. All integrable functions `f` defined on `[0,1]` that satisfy `int_0^1 f(x) dx > -1`.
Answer: G
In a pine forest near Mount Fuji in Japan, there is a cluster of yellow buildings. Inside the factory, automatic machining centers, robots, and automated guided vehicles operate day and night without human supervision. The automatic machining center operates under the control of a computer in the control center. Automated guided vehicles move from one device to another, transporting materials and machine parts. Automated devices move quietly around the warehouse, and robots perform product inspection and packaging. On a 16,000 square meter site, all work is carried out under computer program control. The factory has 1,010 robots equipped with vision, which work together with CNC machines and automated guided vehicles. During the day, 19 staff members work in the control room, and at night, only two monitors are present. Similar "unmanned factories," although they have few workers performing direct labor, have seen capitalists' profits rapidly increase. Under the conditions of contemporary capitalist automation, the source of surplus value is

Options:
A. the surplus labor of the control room staff
B. automated machinery and equipment
C. the surplus labor of the control room staff and automated machinery combined
D. scientific and technological innovation
E. monopoly of production technology
F. the surplus labor of hired workers
G. the increased efficiency of automated systems
H. the surplus labor of automated machinery and control room staff
I. the surplus labor of automated machinery
J. the surplus labor of the automated machinery and the control room staff combined
Answer: F
Company A issued a transfer check to Company C with Bank B in the same city as the payer to pay for goods. Company C presented the check to Bank B for payment 14 days after the issuance date. According to the provisions of the negotiable instruments law, which of the following statements is correct?

Options:
A. Bank B should unconditionally pay
B. Bank B should pay if the check is presented within 10 days
C. Bank B should pay if the check is presented within 12 days
D. Bank B should pay if the check is presented within 14 days
E. If Bank B refuses to pay, Company A still bears the liability under the negotiable instrument
F. Bank B should pay if the check is presented within 11 days
G. Bank B can refuse to pay
H. Bank B should pay if the check is presented within 15 days
I. Bank B should pay if the check is presented within 13 days
J. If Company A has sufficient funds in Bank B to cover the check amount, Bank B should pay the full amount
Answer: G
The common pathogen for purulent meningitis complicated with subdural effusion is

Options:
A. Haemophilus parainfluenzae
B. Haemophilus influenzae
C. Moraxella catarrhalis
D. Streptococcus pneumoniae
E. Haemophilus ducreyi
F. Neisseria meningitidis
G. Streptococcus agalactiae
H. Escherichia coli
I. Group B Streptococcus
J. Staphylococcus aureus
Answer: B
In the cooling process of ledeburite in iron-carbon alloys, what does the austenite in this structure undergo to become degenerate ledeburite?

Options:
A. transformation into ferrite
B. transformation into ferrite and bainite
C. precipitation of secondary cementite
D. transformation into ferrite and pearlite
E. transformation into ferrite and cementite
F. transformation into bainite
G. precipitation of tertiary cementite
H. transformation into martensite
I. precipitation of ferrite
J. transformation into pearlite
Answer: J
The extension of the Bawang brand from shampoo to beverages violates which of the following marketing principles?

Options:
A. Brand extension requires that the parent product and the new product be mutually exclusive.
B. Brand extension requires that the parent product and the new product share a similar target market.
C. A brand needs to maintain a consistent brand image across all product categories.
D. A brand needs to provide excellent product and service quality
E. A brand needs to have a differentiated competitive advantage
F. Brand extension requires that the parent product and the new product be mutually compatible.
G. Brand extension requires that the parent product and the new product share a similar production process.
H. Brand extension requires that the parent product and the new product be mutually supportive.
I. A brand needs a clear brand positioning
J. A brand needs to ensure that the new product category does not cannibalize the existing product category.
Answer: F
The fundamental reason for the emergence of state monopoly capitalism is ( ).

Options:
A. Rapid development of the technological revolution
B. Intensification of the basic contradiction of capitalist production
C. Intensification of the basic contradiction of socialism
D. Intensification of the basic contradiction of capitalism
E. Intensification of the basic contradiction of capitalist market dynamics
F. Relatively narrow domestic and foreign markets
G. Intensification of the basic contradiction of capitalist production relations
H. Market prices constantly changing and taking effect
I. Intensification of contradictions between developed and developing countries
J. Intensification of the basic contradiction of capitalist economic policies
Answer: D
Given the Hamiltonian of a helium atom: $hat{H}=-frac{hbar^2}{2mu}vec{nabla_1}^2-frac{hbar^2}{2mu}vec{nabla_2}^2-frac{2e^2}{r1}-frac{2e^2}{r2}+frac{e^2}{vec{r1}-vec{r2}}$ (Hint: The ground state wave function is $psi_{100}(vec{r})=frac{1}{sqrt{pi}}(frac{2}{a_0})^{frac{3}{2}}e^{-frac{2r}{a_0}}$) The ground state energy obtained by the variational method is:

Options:
A. $E_0=frac{e^2}{2a_0}$
B. $E_0=-2.84frac{e^2}{a_0}$
C. $E_0=-2.87frac{e^2}{a_0}$
D. $E_0=-2.86frac{e^2}{a_0}$
E. $E_0=-2.90frac{e^2}{a_0}$
F. $E_0=-2.80frac{e^2}{a_0}$
G. $E_0=-2.85frac{e^2}{a_0}$
H. $E_0=-2.95frac{e^2}{a_0}$
I. $E_0=frac{e^2}{a_0}$
J. $E_0=-2.75frac{e^2}{a_0}$
Answer: G
The constitutional amendment adopted at the first session of the 13th National People's Congress in 2018 was the first to be written into the Constitution is ()

Options:
A. Mao Zedong Thought
B. Xi Jinping Thought on Socialism with Chinese Characteristics for a New Era
C. Xi Jinping Thought on Socialism with Chinese Characteristics for the New Era
D. Xi Jinping Thought on Socialism with Chinese Characteristics for a New Era (2017)
E. Deng Xiaoping Theory
F. Xi Jinping Thought on Socialism with Chinese Characteristics for a New Era (2019)
G. Hu Jintao Thought on Socialism with Chinese Characteristics
H. Xi Jinping Thought on Socialism with Chinese Characteristics for the 21st Century
I. Xi Jinping Thought on Socialism with Chinese Characteristics for a New Era (2018)
J. Xi Jinping Thought on Socialism with Chinese Characteristics for the 21st Century (2018)
Answer: B
Let $f(x)$ be differentiable, find the derivative $\frac{dy}{dx}$ of the function $y=f(\sin ^2 x) + f(\cos^2 x)$

Options:
A. $2 \cos x f'(\sin ^2 x) -2 \sin x f'(\cos^2 x)$
B. $2\sin x \cos x f'(\sin ^2 x) +2\cos x \sin x f'(\cos^2 x)$
C. $2\sin x \cos x f'(\cos ^2 x) -2\cos x \sin x f'(\sin^2 x)$
D. $2\sin x \cos x f'(\sin ^2 x) -2\cos x \sin x f'(\cos^2 x)$
E. $2\sin x \cos x f'(\sin ^2 x) +2\sin x \cos x f'(\cos^2 x)$
F. $2\sin x \cos x f'(\sin ^2 x) -2\sin x \cos x f'(\sin^2 x)$
G. $2\sin x f'(\sin ^2 x) -2\cos x f'(\cos^2 x)$
H. $2\sin x \cos x f'(\sin ^2 x) +2\cos x \sin x f'(\sin^2 x)$
I. $2\sin x \cos x f'(\sin ^2 x) +2\sin x \cos x f'(\sin^2 x)$
J. $2\sin x \cos x f'(\sin ^2 x) -2\sin x \cos x f'(\cos^2 x)$
Answer: D
Engels pointed out, "With the division of production into the two main departments of agriculture and handicrafts, there appeared production directly aimed at exchange, i.e., commodity production." This indicates that the commodity economy originated from

Options:
A. the first major social division of labor and the second major social division of labor combined
B. the second major social division of labor
C. the fourth major social division of labor
D. the third major social division of labor
E. the first major social division of labor and the third major social division of labor combined
F. the third major social division of labor and the fourth major social division of labor combined
G. the first major social division of labor
H. the second major social division of labor and the third major social division of labor combined
I. natural division of labor
J. the first major social division of labor and the fourth major social division of labor combined
Answer: B
If the circulating water volume in the spray chamber is large, and the temperature of the sprayed water is between the wet-bulb and dry-bulb temperatures of the air, what kind of air treatment process will be achieved?

Options:
A. Enthalpy Increase Cooling and Dehumidification
B. Enthalpy Decrease Cooling and Humidification
C. Enthalpy Reduction Cooling and Humidification
D. Enthalpy Decrease Heating and Humidification
E. Enthalpy Increase Cooling and Humidification
F. Adiabatic Humidification
G. Heating and Humidification
H. Enthalpy Increase Heating and Dehumidification
I. Enthalpy Increase Heating and Humidification
J. Enthalpy Decrease Cooling and Dehumidification
Answer: E
Post-streptococcal heart valve disease is mainly due to antibodies in the patient's serum that recognize certain antigens of streptococcus, which can also recognize the antigens of the heart valve basement membrane, these two antigens are called ( )

Options:
A. homologous antigen
B. cross-reactive antigen
C. alloantigen
D. idiotype antigen
E. heterophilic antigen
F. autoantigen
G. hapten
H. homophilic antigen
Answer: E
A sample ((X_1, X_2, \cdots, X_n)) is taken from the population (X), with (mu = EX) and (sigma^2 = DX). The unbiased estimator for (sigma^2) is ( ).

Options:
A. (\\frac{1}{n-1}\\sum\\limits_{i=1}^n {(X_i - \\bar{X})^2}) (when (mu) is known)
B. (\\frac{1}{n-1}\\sum\\limits_{i=1}^n {(X_i - \bar{X})^2}) (when (mu) is unknown)
C. (\\frac{1}{n-2}\\sum\\limits_{i=1}^n {(X_i - mu)^2}) (when (mu) is unknown)
D. (\frac{1}{n}\sum\limits_{i=1}^n {(X_i - mu)^2}) (when (mu) is unknown)
E. (\\frac{1}{n-2}\\sum\\limits_{i=1}^n {(X_i - mu)^2}) (when (mu) is known)
F. (\\frac{1}{n+1}\\sum\\limits_{i=1}^n {(X_i - mu)^2}) (when (mu) is known)
G. (\frac{1}{n-1}\sum\limits_{i=1}^n {(X_i - mu)^2}) (when (mu) is known)
H. (\frac{1}{n-1}\sum\limits_{i=1}^n {(X_i - mu)^2}) (when (mu) is unknown)
I. (\\frac{1}{n}\\sum\\limits_{i=1}^n {(X_i - mu)^2}) (when (mu) is known)
Answer: I
The realization of the communist ideal is based on the laws of human social development and the development of the fundamental contradictions of capitalist society. Marxism not only provides a general historical argument for the inevitability of the realization of the communist ideal from the perspective of the laws of social form succession, but also offers specific empirical explanations through the scientific critique and 'pathological dissection' of capitalist society. These empirical explanations are reflected in

Options:
A. Studying the economic movements of capitalism, revealing the characteristics of the capitalist mode of production, and arguing for the self-negating trend of capitalist development.
B. Revealing the laws and trends of the struggle between the working class and the bourgeoisie, and discussing the inevitability of the victory of the working class liberation struggle.
C. The practice of the socialist movement, especially the rise and continuous development of socialist countries, has factually proven the inevitability of the realization of the communist ideal.
D. Studying the economic movements of capitalism, revealing the characteristics of the capitalist mode of production, and arguing for the eventual evolution of capitalism into a more sustainable and efficient system.
E. Studying the economic movements of capitalism, revealing the characteristics of the capitalist mode of production, and arguing for the eventual stabilization and perpetuation of capitalist development.
F. Studying the economic movements of capitalism, revealing the characteristics of the capitalist mode of production, and arguing for the gradual transformation of capitalism into a more equitable system.
G. Revealing the fundamental contradiction between socialized production and the private ownership of the means of production under capitalism, and arguing for the transitory nature of capitalism.
H. Revealing the secrets of capital exploitation and the injustice of capitalism, and arguing for the historical mission of the working class to overthrow the old world and build a new one.
I. Studying the economic movements of capitalism, revealing the characteristics of the capitalist mode of production, and arguing for the inevitability of capitalist crises leading to its eventual collapse.
J. Studying the economic movements of capitalism, revealing the characteristics of the capitalist mode of production, and arguing for the cyclical nature of capitalist crises.
Answer: A
The most important basis for diagnosing epidemic meningitis is

Options:
A. Positive bacteriological examination
B. Positive serological examination
C. Positive bacteriological examination with elevated white blood cells
D. Severe headache, frequent vomiting, changes in consciousness
E. Skin and mucous membrane petechiae, meningeal irritation signs
F. Sudden high fever, obvious systemic toxic symptoms, increased white blood cells and neutrophils
G. Positive serological examination with elevated neutrophils
H. Cerebrospinal fluid examination shows increased intracranial pressure and protein content
I. Positive serological examination with elevated white blood cells
J. Cerebrospinal fluid examination shows increased intracranial pressure and purulent changes
Answer: A
Consider a multi-factor APT model with two factors, the expected return on stock A is 16%, the beta for factor 1 is 0.8, and the beta for factor 2 is 1.2; the risk premium for factor 1 is 4%, and the risk-free rate is 6%. If there are no arbitrage opportunities, then the risk premium for factor 2 is:

Options:
A. 6.5%
B. 5.6%
C. 7.0%
D. 5.0%
E. -6.0%
F. 6.2%
G. 5.7%
H. 5.4%
I. 5.8%
J. 5.2%
Answer: B
Injury to the ulnar nerve above the medial epicondyle of the humerus can result in the following symptoms:

Options:
A. Paralysis of the flexor carpi ulnaris
B. Paralysis of the flexor digitorum superficialis
C. Paralysis of the flexor digitorum profundus to the ring and little fingers
D. Paralysis of the flexor carpi radialis
E. Paralysis of the extensor carpi radialis
F. Paralysis of the flexor digitorum profundus
G. Inability to abduct the little finger
H. Paralysis of the extensor carpi ulnaris
I. Sensory impairment on the medial side of the back of the hand
J. Inability to adduct the thumb
Answer: A
For the TSP problem of visiting 15 cities from a certain place, the size of the solution space is closest to:

Options:
A. 800,000,000,000
B. 100,000,000,000
C. 1,500,000,000,000
D. 10,000,000,000,000
E. 1,000,000,000
F. 1,000,000,000,000
G. 500,000,000,000
H. 10,000,000,000
I. 2,000,000,000,000
J. 1,200,000,000,000
Answer: F
The general solution of the differential equation (y''-2y'-3y=3x+1) is ( ).

Options:
A. (y=C_1e^{3x}+C_2e^{x}-x+frac{1}{3})
B. (y=C_1e^{3x}+C_2e^{-x}-x-frac{1}{6})
C. (y=C_1e^{-3x}+C_2e^{x}-x+frac{1}{3})
D. (y=C_1e^{-3x}+C_2e^{-x}-x+frac{1}{3})
E. (y=C_1e^{3x}+C_2e^{-x}-x+frac{1}{2})
F. (y=C_1e^{3x}+C_2e^{-x}-x+frac{1}{3})
G. (y=C_1e^{3x}+C_2e^{-x}-x-frac{2}{3})
H. (y=C_1e^{3x}+C_2e^{-x}-x+frac{4}{3})
I. (y=C_1e^{3x}+C_2e^{-x}-x+frac{2}{3})
J. (y=C_1e^{3x}+C_2e^{-x}-x-frac{1}{3})
Answer: F