100- Which of the following is defined in the passage?

1) proxemics	2) social context
3) social behavior	4) cross-cultural communication

111-C Page 3

1. Which of the following works belongs to whom, and is related to ``Tarjomeh-ye Tarikh-e Tabari, translation of Qamar-baz''?
   
   • [(1)] E. Pashaii, Abu Ali Bal'ami, Jalal Al Ahmad
   • [(2)] Jalal Al Ahmad, Mohammad ibn Jarir Tabari, Bozorg Alavi
   • [(3)] Parviz Dariush, Abu Ali Bal'ami, Dostoyevsky
   • [(4)] Ali Shari'ati, Mohammad ibn Jarir Tabari, Sadeq Hedayat
   
   
2. Which author and subject, in contrast to it, has been fully correctly introduced?
   
   • [(1)] Escape from School: Abdolhossein Zarrinkoob, description of Nezami's state
   • [(2)] Kashf al-Mahjub: Ali ibn Othman Hujwiri, description of the states of prophets
   • [(3)] Jawami' al-Hikayat wa Lawami' al-Riwayat: Mohammad Awfi, explanation of hadiths and religious narrations
   • [(4)] Four Articles: Ahmad Aruzi Samarqandi, stories in the field of education and upbringing
   
   
3. What are the literary devices in the following verse?
   $$\text{``The necessity of it is that which brings the sun of love''} \quad \text{``Like atoms together, the wind took their behavior''}$$
   
   • [(1)] Simile, allusion, metaphor
   • [(2)] Simile, metaphor, iham-e tanasob (allusive harmony)
   • [(3)] Metaphor, kinayeh, metaphor
   • [(4)] Metaphor, iham-e tanasob, jenas (paronomasia)
   
   
4. In which verse, one of the literary devices mentioned opposite it has been stated incorrectly?
   
   • [(1)] Like a stream flowing high, you remain (metaphor, allusion)
   • [(2)] Cornelian, like you, upon the ruby --- limits (simile, metaphor)
   • [(3)] Like a young man whose heart is less than life (simile, iham-e mo'adeleh, harmony)
   • [(4)] Warm as fire between burning and that raw cooked in it (contrast, paradox)
   
   
5. The literary devices ``waj-arai'' (harmony), iham-e tanasob, metaphor, and paradox, in order, appear in which verses?
   
   • [] (alef) The freshness of narcissus --- push forward to blossom
   • [] (b) This wonderful story --- the voice of the best words
   • [] (j) The sky --- the string of the tight heart is
   • [] (d) The stream --- the lock opened and the rose --- the reed
   
   
   • [(1)] alef, j, d, b
   • [(2)] b, alef, d, j
   • [(3)] j, alef, d, b
   • [(4)] d, alef, b, j
   
   
6. In the following text, how many spelling errors are found?
   ``Today, my father, a house that was given to my brother as inheritance, the garden that had been bought before, has become the owner and now lives there.''
   
   • [(1)] two (2) three (3) four (4) five
   
   
7. In which sentence, there is a word that has both an old meaning and has transferred a new meaning to this era?
   
   • [(1)] In the heart of dense rock, jewels of mines and metals are created.
   • [(2)] The elephant, like a fortress, returned from running around like steel.
   • [(3)] If you wish life from me and bread from them, you are far from the path of the mother.
   • [(4)] Bahram shot an arrow between two eyes of the camel so that the camel fell on its head.
   
   
8. In the following sentences, ``verb tenses'' in order are which?
   ``We had this matter and were in good condition in the school where we studied.''
   
   • [(1)] Simple past, continuous present, continuous present, present continuous
   • [(2)] Past continuous, simple past, continuous present, present continuous
   • [(3)] Past continuous, past continuous, past continuous, present continuous
   • [(4)] Past continuous, simple past, past continuous, present continuous
   
   

%% Page 5
Persian Language and Literature 111-C Page 4

1. In which case can all the present stems of the verbs, by adding ``e'', become a noun?
   

   (1) gereftan, didan, neshandan	(2) geris'tan, khandidan, kharidan
   (3) pushidan, neveshtan, khvastan	(4) andishidan, pirastan, avikh'tan

   
   
2. The number of opposite words in which sentence is wrong?
   
   1. [(1)] The moon illuminates the daily actions of people with its light. (11 words)
   2. [(2)] The kind gaze of a friend and a healer is a mirror of the soul, bright as sunlight. (11 words)
   3. [(3)] The cry of a weak child, in searching for a little water, reaches the ears. (13 words)
   4. [(4)] The sad murmur among the palm trees comes and slowly falls from the ears. (13 words)
   
   
3. The meaning of the verse below is conveyed by which option?
   ``An ke dar tarz-e ghazal nakte be hafez amukhte'' ``Yar-e shirin sokhan, nadere goftar man ast''
   
   1. [(1)] First purify the heart, then look at it purely and speak.
   2. [(2)] Pure and noble speech of the beloved, always flowing from tongues.
   3. [(3)] Love for exercise and attachment to the beloved is truly the factor of eloquence.
   4. [(4)] The people of the heart, speech brings back and is always subject to praise.
   
   
4. Which verse shares the same theme?
   ``Be majma'i ke dar ayand shahedan-e do alam'' ``Nazar be su-ye to daram ghulam-e ru-ye to basham''
   
   1. [(1)] She shows me two worlds as a model of obedience
   2. [(2)] In this world I do not see a human, I miss humans
   3. [(3)] In the meadow and the vineyard, the woman who is far from this side
   4. [(4)] A human in the world of dust has not come to hand
   
   
5. The meaning of the phrase ``as'hat-e amira'' and ``amsiyat-e asira'' is received from which verse?
   

   (1) Goshdayan binin...dar ruz-e mahshar	(2) Yeksi az bakhsht, kamelran binin
   (3) Che mardy konand zor bsazuy jah?	(4) Kasi ke taj zarsh bud dar sobah be sar

   
   
6. The meaning of the verse below is most consistent with which verse?
   ``Ta nagordi bikh'bar az jism o jan'' ``Kasi khaber yabi az janan-e yak zaman''
   
   1. [(1)] In parting from a friend, the last thing that resembles nothing
   2. [(2)] I do not regret that from my hand my dear has gone
   3. [(3)] The claim of being in this field has no reason
   4. [(4)] The companion says that one must cultivate the beloved
   
   

%% Page 6 Persian Language and Literature 111-C Page 5

120-C Page 2

121- The point $M(x,y)$ moves along the curve $y = x\sqrt{x}$, such that the distance from the origin moves with a speed of $1/3$ units per second. When $\dfrac{dx}{dt}$ is at a length of 8, what is its value?
(1) $0/2$ (2) $0/3$ (3) $0/4$ (4) $0/6$

125. In triangle $ABC$, the angle bisectors are internal and intersect at point $O$. If the angles $AOB$, $BOC$, and $COA$ are proportional to the numbers $7$, $6$, and $5$, the largest angle of this triangle is how many degrees?
(1) $80^\circ$ (2) $90^\circ$ (3) $100^\circ$ (4) $110^\circ$

126. In trapezoid $ABCD$, the ratio of the bases is $\dfrac{1}{3}$. The line connecting the midpoints of the legs cuts the diagonals of the trapezoid at points $E$ and $F$.
How many times is the area of quadrilateral $ABEF$ equal to the area of the original trapezoid?
\begin{minipage}{0.45\textwidth} [Figure: Trapezoid $ABCD$ with points $F$ and $E$ on the diagonals, connected by a line segment] \end{minipage} \begin{minipage}{0.45\textwidth} \begin{flushright} (1) $\dfrac{2}{9}$
(2) $\dfrac{1}{6}$
(3) $\dfrac{3}{16}$
(4) $\dfrac{1}{4}$ \end{flushright} \end{minipage}

127. In a regular quadrilateral pyramid, every face is an equilateral triangle. The length of each lateral edge is $2\sqrt{6}$ units. What is the height of this pyramid?
(1) $2\sqrt{7}$ (2) $2\sqrt{r}$ (3) $r$ (4) $f$

132- Triangle $ABC$ is isosceles with $AB = AC$. Point $P$ is on face $P$ and point $M$ is outside face $P$, such that $MB = MC$ and $MA \perp AB$. Which of the following conclusions is incorrect?
(1) $MB \perp BC$ (2) $MA \perp AC$ (3) $MA \perp P$ (4) $MA \perp BC$

141-- We display two sets of inverted numerical data using a box plot. The difference between the medians of the inner data of each box is:

Stem	\multicolumn{8}{c}{Leaf}
4	$\circ$	1	1	3	4	5	8	9
5	1	2	2	4	6	7	8
6	$\circ$	2	3	3	4	6

(1) $0.8$ (2) $0.9$ (3) $1$ (4) $1.1$

143-- Ali, Ahmad, Rozbeh, Davood, and Hamed are ranked by height. We know that at least two of them are shorter than Ali. Davood is shorter than Rozbeh -- Ahmad is the shortest boy -- Davood is shorter than Ali. Which conclusion is incorrect?
(1) Rozbeh is shorter than Ali (2) Davood is shorter than Ahmad (3) Ahmad is shorter than Hamed (4) Ahmad is taller than Ali

144-- If $A$ and $B$ are two non-empty sets, which of the following equals $(A \cap (A' \cup B)) \cup (B \cap (A' \cup B'))$?
(1) $A \cap B$ (2) $A \cup B$ (3) $B$ (4) $A$

145-- The relation $R = \{(a,b) : |2a - b| \leq 3\}$ is defined on the set $A = \{1, 2, 3, 5, 7\}$. How many members does this relation have?
(1) $6$ (2) $7$ (3) $8$ (4) $9$

149- The degree sequence of a graph's vertices is 1, 2, 3, 2, 3, and 3. How many distinct paths exist between two vertices with degrees 1 and 2?
(1) $1$ (2) $2$ (3) $3$ (4) $4$

152- In the directed graph below, the relation is $R$. The number of 1's in the adjacency matrix $M(ROR)$ is:
[Figure: Directed graph with vertices a, b, c, d and directed edges between them]
(1) $7$ (2) $8$ (3) $9$ (4) $10$

156. The focal length of a convex mirror is equal to $f$. If an object moves along the principal axis of the mirror at a constant speed $V$ from the surface of the mirror to a distance of $4f$ from it, what is the average speed of the image transfer?
\[ (4)\ \frac{\Delta}{f} \qquad (3)\ \frac{f}{\Delta} \qquad (2)\ \frac{1}{f} \qquad (1)\ \frac{1}{\Delta} \]

157. A person from a height of 90 cm above the surface of water looks into the water and sees a fish that is 1.5 meters below the surface as perceived by their eye. If the refractive index of water is $\frac{4}{3}$, what is the actual depth of the fish in centimeters?
\[ (4)\ 80 \qquad (3)\ 75 \qquad (2)\ 60 \qquad (1)\ 45 \]

158. An object is placed once at distance $P$ and once at distance $P + 8$ cm from a lens, and in both cases the image is located at the same distance from the lens. If the image size is 5 times the object size, what is the power of this lens in diopters?
\[ (4)\ -5 \qquad (3)\ -2 \qquad (2)\ +5 \qquad (1)\ +2 \]

159. A concave mirror has its object placed on the principal axis and the image formed is half the size of the object. If we move the object 24 cm closer to the mirror, the image forms at infinity. What is the radius of this mirror in centimeters?
\[ (4)\ 36 \qquad (3)\ 24 \qquad (2)\ 18 \qquad (1)\ 12 \]

160. In the figure below, an object of mass $m$ on a frictionless inclined surface has an initial velocity of $V_\circ = 4\,\dfrac{\text{m}}{\text{s}}$ and slides up the incline. If the maximum elastic potential energy of the spring equals $\frac{1}{8}$ of the initial kinetic energy of the object, what is the minimum length the spring compresses (in centimeters)? $$\left(\sin 37^\circ = 0.6,\ g = 10\,\frac{\text{m}}{\text{s}^2}\right)$$
[Figure: A mass $m$ on an inclined plane at angle $37^\circ$ with a spring of natural length $h = 85\,\text{cm}$ at the bottom, initial velocity $V_\circ$ directed up the incline.]
\begin{flushright} (1) $20$
(2) $25$
(3) $30$
(4) $35$ \end{flushright}
\rule{\textwidth}{0.4pt}
\begin{flushright} Calculation Space \end{flushright}
%% Page 11 Physics 120-C Page 10

161- Which quantities are both scalar and vector?

• [(1)] Force -- Mass -- Special Heat
• [(2)] Kinetic Energy -- Magnetic Charge -- Velocity
• [(3)] Pressure -- Mass -- Magnetic Field
• [(4)] Kinetic Energy -- Magnetic Charge -- Pressure

162- A vertical tube is held upright and mercury of height 4cm has been poured into it and at that height it has solidified. If the atmospheric pressure is $P_a = 0.336 \times 10^5 \, \text{Pa}$, by raising the mercury inside the tube by how many centimeters will the pressure in the two tubes become equal?
$$\left(\rho_{\text{mercury}} = 13.6 \, \frac{\text{g}}{\text{cm}^3} \text{ and } g = 10 \, \frac{\text{m}}{\text{s}^2}\right)$$
(1) $84$ (2) $82$ (3) $80$ (4) $78$

163- In the figure below, a piston of 87cm is attached outside the tube from mercury. Under conditions where the air pressure is 75cmHg and the gas temperature is $27^\circ\text{C}$, the mercury column height in the tube is 72cm. As the air pressure increases upward, the gas temperature rises to $47^\circ\text{C}$. We bring the mercury column back to 72cm. How has the air pressure changed?

• [(1)] The mercury level has decreased by 2 millimeters.
• [(2)] The mercury level has increased by 2 millimeters.
• [(3)] The mercury level has decreased by 0.2 millimeters.
• [(4)] The mercury level has increased by 0.2 millimeters.

[Figure: A closed tube containing gas with a mercury column of height 87cm, open at the bottom]

164- We mix 800 grams of ice at zero degrees Celsius with 800 grams of water at $20^\circ\text{C}$. If only the heat exchange between ice and water occurs, after thermal equilibrium is established, how many grams of water will we have and at what temperature in degrees Celsius?
$$\left(C_{\text{water}} = 4.2 \, \frac{\text{J}}{\text{g.K}} \quad \text{and} \quad L_f = 336 \, \frac{\text{J}}{\text{g}}\right)$$
(1) 1000 and zero (2) 1200 and zero (3) 1600 and 2 (4) 1600 and 4
%% Page 12 Physics 120-C Page 11

165. According to the figure below, the temperature difference across the two ends of rods A and B is equal, and the cross-sectional area of rod B is 2 times the cross-sectional area of rod A. If the thermal conductivity of rod A is 2.5 times the thermal conductivity of rod B, the thermal conductivity of rod A is how many times the thermal conductivity of rod B?
[Figure: Two rods A (top) and B (bottom) connected in parallel between temperatures $\theta_1$ and $\theta_2$]

• [(1)] $1.25$
• [(2)] $1.5$
• [(3)] $4$
• [(4)] $5$

166. In a container with a volume of $33.6$ liters, a mixture of oxygen and helium gases exists. The gas pressure is $2\times10^5$ pascals and the temperature is $7$ degrees Celsius. If the mass of the gas is $54$ grams, what percentage of the molecules are oxygen?
$$\left(M_{He}=4\,\frac{g}{mol},\; M_{O_2}=32\,\frac{g}{mol},\; R=8\,\frac{J}{mol\cdot K}\right)$$

• [(1)] $50$
• [(2)] $60$
• [(3)] $40$
• [(4)] $30$