100- In which of the designs described in the passage are buses used and the passengers must climb a flight of stairs to board the aircraft?
1) Linear 2) Pier 3) Satellite 4) None

109. In the figure below, assume $\sin C = \dfrac{5}{13}$ and $CH = 9$. What is the length of $AH$?
[Figure: Right triangle with vertices A (top left), B (bottom left), C (bottom right), and H on BC with AH perpendicular to BC]

• [(1)] $3/25$
• [(2)] $3/5$
• [(3)] $3/6$
• [(4)] $4/75$

111-A Page 2 \end{flushright}
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Hereby \dotfill with applicant number \dotfill with full awareness of being applicant number
of the ballot, I enter my applicant number listed on the top of the admission card, on top of the answer sheet and the bottom of the exam booklet, and confirm the type and code printed on the back of the answer booklet.

Signature:

1. Which option can provide the most appropriate meaning for the following words? ``Badsegal, Anude, Timar, Dallak, Dude, Khire, Bardamidan''
   
   1. [(1)] Bewildered, thoughtful, recognizing, ancestors, servant
   2. [(2)] Enemy and thinking, recognizing, ancestors, servant, crowing
   3. [(3)] Misfortune, gluttony, tribe, recognizing, bath attendant, wandering
   4. [(4)] Thinking, gluttony, frightening, bath attendant, bag, gone
   
   
2. In which option is the number of words with incorrect meaning least?
   
   1. [(1)] (Barr: dry), (Bare: plaster), (Vile: ra), (Nazand: sorrowful)
   2. [(2)] (Aidun: here), (similar: colleagues, associates), (Vibal: livelihood), (Vibal: burden of sin)
   3. [(3)] (Paimardi: perseverance), (Angareh: plan), (Adbar: misfortune), (Nakun-bakht: fortunate), (Mavallat: friendship)
   4. [(4)] (Bighule: corner), (Padram: arrangement), (Altahab: tongue and flame of fire), (Astane: beginning)
   
   
3. Considering the words below, in which cases is the meaning of some words incorrect?
   
   • [Alef)] (Vaje: existence) (Puyidan: striving) (Moheb: friend) (Yar)
   • [B)] (Motaqaed: like-minded) (Tak: rye) (Taqsir: short)
   • [J)] (Atban: Khik) (Harif: Mobarez) (Dirham: coin; minted gold)
   • [D)] (Saman: possibility) (Sarpay zadan: stopping short) (Mennat: favor)
   
   
   1. [(1)] Alef, J (2) Alef, D (3) B, J (4) B, D
   
   
4. In the text below, how many ``spelling errors'' are found? ``A weak negligent person who pulls himself to respect and honor and dignity and is exposed to envy and enmity, should know that the wise person is always deprived and envied, and I do not belong to this class and I am not afraid of harm, but it is treachery to you.''
   
   1. [(1)] One (2) Two (3) Three (4) Four
   
   
5. In the text below, how many spelling errors exist? ``With that which has happened to us of calamity and misfortune of homeland, and from the path to laziness and from abundance to scarcity, and the community to separation, we say: from the honor to disgrace, poverty never looked upon our faces. We hope that God Almighty will favor us and the presence of His Majesty, this book in the name of His Majesty the Sultan is intended for the wanderer.''
   
   1. [(1)] Two (2) Three (3) Four (4) Five
   
   
6. In which line is a spelling error found?
   
   1. [(1)] Tibagh ra dibsadm nahshan kasardan saza
   2. [(2)] Soltash razm haftkhavan maluk
   3. [(3)] Kan sabahat nist in sabh jahan afrooz ra
   4. [(4)] Ghafil ke ro be tir ghaza jalo mi konad
   
   
7. The following verses, in order, are the ode of which persons?
   
   • [Alef)] Mogasal az in ab o khak rishe piyavand / Laf an natavan be asani zadan
   • [B)] Zor dari chon nashdari alm kar / Ibn Hesam Khosoufi, Sanaei
   
   
   1. [(1)] Ibn Hesam Khosoufi, Sanaei
   2. [(2)] Attar Neyshabouri, Khajouye Kermani
   3. [(3)] Adib-ol-Mamalek Farahani, Majd Khavafi
   4. [(4)] Ibn Hesam Khosoufi, Jalaluddin Mohammad Molavi
   
   
8. How many similes does the following verse contain?
   
   1. [(1)] Vale o shidast dam hamcho bolbol dar ghafas
   2. [(2)] Bamal bar lab khonkhar hers, khak ghanaet
   3. [(3)] Chon sang sarme, khakash pirayeh nazarhasht
   4. [(4)] Be har shorush made chon moj az kaf daman darya
   
   

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%% Page 4 Persian Language and Literature 111-A Page 3

1. Which of the following verses contains all four figures of speech: ``simile, metaphor, personification, synecdoche''?
   
   1. [(1)] Hafez says in this verse: the commander of the sea is easy
   2. [(2)] In the grief of separation, O heart, how can I be?
   3. [(3)] The courtyard of the house, I have seen, but what becomes of it?
   4. [(4)] Like a tulip, my heart, from repentance, is broken
   
   
2. The correct matching of the literary devices opposite the verses is:
   
   1. [(1)] Naz chandani ke mirizad z sarta pay to (lesson, excuse, allusion)
   2. [(2)] Kab Golzar to az ashk cho golnar man ast (ambiguity, metaphor, simile)
   3. [(3)] Dide aho z sharm narges shohlaye to (simile, metaphor, comparison)
   4. [(4)] Har ke yek shab ra be ruz avarad dar soday to (allusion, ambiguity, appropriateness)
   
   
3. The figures of speech ``simile, metaphor, harmony, and appropriateness'' appear in which of the following, in order?
   In the pasture, from the perspective of the shepherd, the flock does not scatter Binding the wolf away from the flock, the shepherd does not scatter If it were good, from the balance, the apple of Zankhdanesh That the returning sun's face from the garden returns to it
   
   1. [(1)] b, Alef, d, j
   2. [(2)] b, d, j, Alef
   3. [(3)] j, Alef, b, d
   4. [(4)] j, Alef, d, b
   
   
4. Considering the verses below, which verse is formed from ``predicate + verb'' components?
   Alef) Very different from thinking --- to description and arrival b) The honest box should not look at the tulip and the lily j) Sa'di says from this: the wise person is not those heedless ones d) From the river to the river, companions Omid and Wesal h) Dey, by the meadow, the cypress passed by my speech
   
   1. [(1)] Alef, b, d
   2. [(2)] Alef, d, h
   3. [(3)] b, j, h
   4. [(4)] b, d, h
   
   
5. In which group of words, the semantic relationship of the words is different from the other groups?
   
   1. [(1)] Sky and moon --- sea and fish --- poetry and ode
   2. [(2)] Superiority and excellence --- reward and punishment --- fasting and prayer
   3. [(3)] Animal and jungle --- kitchen and ladle --- Ramadan and thirst
   4. [(4)] Family and spouse --- school and desk --- sky --- students and commander
   
   
6. The best ``compound attribute'' is found in which verse?
   
   1. [(1)] Friend-nurturing, garden-growing, and hope-giving
   2. [(2)] Lofty-aspiring, foundation-laying, and people-friendly
   3. [(3)] Flattery-giving, in the heart, word-maker and people-deceiving
   4. [(4)] Ruby-like, speech-selling, place-selling merchant
   
   
7. In which of the following verses, ``idafa construction'' exists?
   Alef) Bounty, giving in this world, and connecting sinners b) But it is strange that the eye looks at that smoke with no care j) I hope to reach a hundred, from this --- our unfaithful companions d) Heart, I hope to reach a hundred, from this --- our unfaithful companions h) The cheek of that sun, rising, shines upon us
   
   1. [(1)] Alef, b, h
   2. [(2)] Alef, j, d
   3. [(3)] b, j, h
   4. [(4)] b, j, h
   
   
8. Considering the verses below, which item is ``incorrect''?
   ``With the lion, the wolf, and the fox, I am not --- That one who has a grain of awareness in him is not''
   
   1. [(1)] ``Intoxication, lowness, and existence'' are all nouns.
   2. [(2)] In the verse ``dependent'' and one descriptive compound exist.
   3. [(3)] ``Ra'' both as the meaning of the letter of addition and also as a sign appears.
   4. [(4)] One of the sentence components is: predicate + object + predicate + verb.
   
   

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

1. Which verse conveys the concept opposite to ``ghulat'' (excess/extremism)?
   (1) Until your image comes to mind, actions of life are not pure
   (2) Adornment that is in beauty and elegance from me is not
   (3) Though I surrender to bitterness, the story of advice from me (storytelling)
   (4) From friends, the soul can build and nourish (the effect of love)
   [Verses in right column omitted as they are poetic literary content]
   
2. Which verse's meaning is different from the other verses?
   (1) If one sees the direction of generosity from the hand of the generous
   (2) Whoever turns from the jewel resembling it
   (3) Zod (soon) is incapable of seeing Yousef's eyes
   (4) We are not to the corner, the eyes of our acquaintance are generous
   
3. Which verse's meaning is different from the rest?
   (1) The broken tulip of Nu'man is good for the thorns
   (2) The time is like a willow, the body is thin
   (3) Senbel (hyacinth) grows, harvesting on the shoulder of spring
   (4) It has become like the color of Rakh Leyli and the garden of Majnun
   
4. All verses have a common meaning with the verse ``Do not speak to others, do not open the mouth''; except:
   (1) Speech is like a mirror --- it becomes --- with a horse
   (2) Speech like a jewel brings forth
   (3) The language of the people is like a color
   (4) Speech ahead of them, hanging, sewn to the side
   
5. Which verse below has the same rhyme as ``Waslat an kas yaft kaz khud shud fana''?
   (1) Come, if you want to see from afar, good to you
   (2) Byfna (without end) the road cannot go to the head of the friend's house
   (3) We, how much value, soul and world, recognized
   (4) But from darkness, prosperity of poverty and end of bewilderment
   
6. Which verse's meaning is different from the other verses?
   (1) The seed of love is in the soil --- creating the problem is
   (2) That every face has the secret of love in the heart, has a look?
   (3) From the soil, the people of love, the view of the deer becomes
   (4) To him, without the message of appearance, cannot reveal the secret of himself
   
7. Which verse below has the same meaning as ``Du'ay-e Sobh va Ah-e Shab Kilid-e Ganj-e Maqsud Ast''?
   (1) Shahs to the side, the protection of the arrow of God, moving
   (2) Froghousi from the prayers, the school is empty, should not be
   (3) To every lock of the key, the travelers are coming
   (4) To the place of acquaintance and the right of the old and the covenant of correct
   
8. The meaning of all verses is the same; except:
   (1) On the face, what is the place of approximate description
   (2) On the way, we spoke, several, we say
   (3) No painting is seen, that no map is drawn
   (4) The face of Yousef, unseen, the attribute --- making
   
9. The meaning of the hadith ``Hasibu qabla an tuhasabu'' is derived from which verse?
   (1) In the time of the line, the center of the eye, and above the people is
   (2) From the lineage that comes, to the court of the divan is
   (3) Morning old age is not, if the morning of resurrection, from what --- did
   (4) The stone is less in the scale of the measure of actions --- pulls
   

%% Page 6
Arabic Language 111-A Page 5
\rule{\textwidth}{1pt} \large $\blacksquare\blacksquare$ Choose the most appropriate answer: the translation or the meaning from Arabic or into Arabic (26 -- 35) \rule{\textwidth}{1pt}

112-D Page 2

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Hereby \dotfill with applicant number \dotfill with full awareness of being equal to the number of the seat, I confirm that the applicant number listed on the entry card to the session, on the answer sheet and the exam booklet, the type and code printed on my answer booklet and exam booklet are verified by me.
Signature:

1. How many words have an incorrect meaning given for them? (Ashtalam: laf zadan [boasting]) (Harz: ta'wiz [amulet]) (Almas pikan: tabardarkhashan va jala dade shode [polished]) (Khayibandan: farro bordan) (Tolmar: yaddasht mokhtasar [brief note]) (Mekidat: khadame [servants]) (Zaghe: zamin zera'i [agricultural land]) (Badal: mardan khoda [men of God]) (Bahre: haqq malek [landlord's right]) (Hazem: boland nazar [far-sighted])
   
   1. [(1)] Four (2) Six (3) Five (4) Seven
   
   
2. In which option is the meaning of some words incorrect?
   1. [(1)] (Rowzhe: golzar [flower garden]) (Qa'yeb: movafaq [successful]) (Motaqareb: hamgara [convergent])
   2. [(2)] (Javlahhe: nassaj [weaver]) (Hobr: morakkab [ink]) (Khazen: foreshte negahban [guardian angel])
   3. [(3)] (Nafaqe: enfaq va bakhshesh [spending and giving]) (Mostlazem: lazem darandeh [requiring]) (Qabeh: omat gozidegi shekl [ugly form])
   4. [(4)] (Talask: aviz tala va noqre zini [gold and silver ornament]) (Kohr: asb sorkh rang mail be tiregi [reddish-dark horse]) (Magh: zardashti [Zoroastrian])
   
   
3. What is the meaning of each of the following words in order? ``Bur shodan, avand, ayar, mahjowr''
   1. [(1)] Larzidan, zangoule, mohak, maghloub
   2. [(2)] Tarsidan, avizan, sanjesh, maghloub
   3. [(3)] Khajat zade shodan, zang, abzar, mardoud
   4. [(4)] Sharmande shodan, azmon, mo'allaq, matrouk
   
   
4. Among the words given, how many words are incorrect in their meaning? ``Sadmat va zarbat, aynak zanagari, halimi charb va narm, kouy va barz, tama'nineh va vaqar, khourus ghalib, koz tabi' janour, onodan badgohar, goush estema', laho va la'b, pelasi mondart, farine mo'ayad, hadi va she'rkhani, tho'ab, nadidan ta'khir, salabat va sangini''
   
   1. [(1)] Six (2) Seven (3) Eight (4) No
   
   
5. In the text below, how many spelling errors exist? ``A tenant farmer and guarantor of properties who has not been faithful to the content of the contract and at the end of the transaction should compensate and bear another person's property from it at a lower value until it is extinguished.''
   
   1. [(1)] One (2) Two (3) Three (4) Four
   
   
6. From the perspective of the history of literature, which option has completely correct information about the works?
   1. [(1)] Iliad: an epic book by Homer, a poet before the birth of Christ, about a collection of manners and morals of the ancient Greeks.
   2. [(2)] Wasf al-Hadhra: authored by Wasaf, which deals with a part of the history of the Seljuks and the style of prose and poetry of that era.
   3. [(3)] Ramayana: an epic of Valmiki, a comprehensive poem in Sanskrit about the events and battles of Ram and his wife.
   4. [(4)] Tehran Makhuf: from the works of Morteza Moshfaq Kazemi, this is the first social novel in which the social status of Iranian women is depicted.
   
   
7. In which option are the introducers of all works incorrect?
   1. [(1)] (Lavayeh va lavame': Jami) (Dastan do shahr: Tolstoy) (Maktabiyeh: Sana'i)
   2. [(2)] (Arziyabi shetabzadeh: Al Ahmad) (Boutehzar: Ali Mohammad Afghani) (Nasayeh: Jami)
   3. [(3)] (Karnameh Balkh: Iraqi) (Soroud Sepideh: Hossein Momtahen) (Shebli dar Atash: Fateme Ra'kei)
   4. [(4)] (Avaz Golsang: Salman Herati) (Sheraq: Qeysar Aminpour) (Ba Damavand Khamoush: Alireza Qazveh)
   
   
8. How many of the introduced works are correctly introduced? (Samak Ayar: Faramarz ibn Khodadad) (Hezar va yek shab: Abdollatif Tassouji) (Sharh Zendegani man: Abdollah Mostoufi) (Rouzha: Eslami Nadoushan) (Al-Hayat: Allameh Tabatabaei) (Bada'i al-Waqa'i: Sa'id Nafisi) (Daneshgahhaye man: Maksim Gorky) (Farar az Madrasseh: Mohammad Ghazali)
   
   1. [(1)] Four (2) Five (3) Six (4) Seven
   
   

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Persian Language and Literature 112-D Page 3

122-D Page 2

123. A hyperbola with semi-axes of lengths $9$ and $16$ units is inscribed in a circle with circumference $16$ units. What is the shortest distance from the vertices of the hyperbola to one vertex of the smaller base of the hyperbola?
(1) $\dfrac{3}{2}$ (2) $\sqrt{3}$ (3) $2$ (4) $\dfrac{5}{2}$

124. Line segment $AB$ has length $8$ units in the coordinate plane. Four circles with centers $A$ and $B$ and radii $3$ and $7$ units are drawn. The intersection points of the smaller circles with the larger circle lie exactly on which axes of the quadrilateral?
(1) Rhombus (2) Parallelogram
(3) Rectangle (4) Hyperbola
%% Page 6

125. According to the figure below, $O$ is the intersection point of the diagonals of rectangle $ABCD$ ($\hat{B} = 90°$). Segments $OM$ and $ON$ are drawn parallel to $AD$ and $BC$ respectively. The ratio $\dfrac{AM}{BN}$ is:
[Figure: Rectangle ABCD with point O at intersection of diagonals, M and N on AB, segments OM and ON drawn parallel to AD and BC]

• [(1)] 1
• [(2)] 2
• [(3)] Less than 1
• [(4)] Greater than 1 and less than 2

126. The bases of a trapezoid measure 5 and 9 units. We draw a line segment parallel to the bases of the trapezoid that divides it into two parts of equal area. What is the length of this segment?

• [(1)] 7
• [(2)] $\sqrt{53}$
• [(3)] $4\sqrt{3}$
• [(4)] $\sqrt{57}$

127. In the figure below, $DG = 3DA$ and the lengths of segments $DE$ and $DC$ are 2 and 5 respectively. The area of triangle $AFG$ is what percent of the area of trapezoid $ABCD$?
[Figure: Triangle with vertices G at top, F and C at bottom, with points A, B on sides, D between F and C, trapezoid ABCD shaded]

• [(1)] 40
• [(2)] 36
• [(3)] 32
• [(4)] 24

128. In the figure opposite, what is the length of segment $AD$?
[Figure: Triangle with vertex A at top, B at bottom left, D at bottom right, with point C on BD and internal cevian of length 7 from A, sides labeled 9 and 4, 5]

• [(1)] 9
• [(2)] $3\sqrt{10}$
• [(3)] 10
• [(4)] $6\sqrt{3}$

153 -- If the degrees of the vertices of a graph are 4, 4, 2, 2, 4, 2, and 2, what is the total number of all cycles?

• [(1)] $3$
• [(2)] $4$
• [(3)] $5$
• [(4)] $6$

154 -- Suppose tree $G$ has 4 edges. What is the number of vertices of tree $G$?

• [(1)] $3$
• [(2)] $4$
• [(3)] $6$
• [(4)] $5$

156- What magnetic properties do paramagnetic materials acquire in the presence of strong magnetic fields?

• [(1)] Strong and temporary
• [(2)] Strong and permanent
• [(3)] Weak and temporary
• [(4)] Weak and permanent

157- A particle with constant acceleration $\vec{a} = -4\hat{i}$ moves along the x-axis. If the displacement of the particle in the third second of motion equals zero, how many meters is the distance traveled by the particle from $t_1 = 2\text{s}$ to $t_2 = 4\text{s}$?

• [(1)] 3
• [(2)] 4
• [(3)] 5
• [(4)] 10

158- The velocity--time graph of a particle moving along the x-axis is shown below. If at $t = 0$, the position of the particle is $x = 0$, after how many seconds does the particle pass through this point again?
[Figure: velocity-time graph showing a line starting from origin, passing through point (5,0) area, with a point marked at t=9 on the time axis]

• [(1)] 15
• [(2)] 16
• [(3)] 18
• [(4)] 20

159- The position--time graphs of two particles A and B are shown below. At what moment is the speed of particle B equal to the speed of particle A? (The graph of particle B is drawn to a scale of one unit.)
[Figure: position-time graph with two curves A and B, time axis marked at $t=4$ and $t=12$]

• [(1)] 10
• [(2)] 8
• [(3)] 6
• [(4)] 5

160- A particle starts from rest on a straight path with a constant acceleration of $3\,\dfrac{\text{m}}{\text{s}^2}$ and after some time its acceleration becomes a constant $1\,\dfrac{\text{m}}{\text{s}^2}$ until it finally stops. If the total distance traveled along the entire path is $600$ meters, how many meters is the distance traveled during the first $30$ seconds of motion?

• [(1)] 400
• [(2)] 450
• [(3)] 500
• [(4)] 550

161- A bullet of mass $100\,\text{g}$ is fired from height $h$ under vacuum conditions and reaches the ground with some velocity. If the kinetic energy of the bullet at the moment it hits the ground is $24/2\,\text{J}$, the average speed of the bullet during the last second of its motion is how many meters per second? $$\left(g = 10\,\frac{\text{m}}{\text{s}^2}\right)$$

• [(1)] 22
• [(2)] 17
• [(3)] 15
• [(4)] 12

162- A bullet is fired from a height of $95$ meters above the ground with initial speed $V_c$ at an angle of $37°$ above the horizontal, and after $5$ seconds it reaches a height of $40$ meters above the ground. The velocity vector of the bullet $3$ seconds after launch makes what angle with the launch velocity vector? $$\left(g = 10\,\frac{\text{m}}{\text{s}^2},\quad \sin 37° = 0.6\right)$$

• [(1)] 37
• [(2)] 45
• [(3)] 53
• [(4)] 90

Calculation Space
%% Page 11

163. A 2\,kg mass is attached to the end of a spring of length 30\,cm and we hang it; the spring stretches to 42\,cm. Now we attach another weight equal to this weight to the same spring and move it on a horizontal surface with acceleration $2\,\dfrac{\text{m}}{\text{s}^2}$. If in this case the length of the spring reaches 36\,cm, the coefficient of kinetic friction of the body with the horizontal surface is how much? $\left(g = 10\,\dfrac{\text{m}}{\text{s}^2}\right)$
(1) $0/2$ (2) $0/3$ (3) $0/4$ (4) $0/5$

164. A 2\,kg mass is tied to a light rope and rotated upward with acceleration $2\,\dfrac{\text{m}}{\text{s}^2}$. If we cut the rope and make the acceleration of the body twice as large, the acceleration of the body becomes how many times? $\left(g = 10\,\dfrac{\text{m}}{\text{s}^2}\right)$
(1) $14$ (2) $7$ (3) $4$ (4) $2$

165. If the mass of body B is $\dfrac{5}{4}$ the mass of body A, and the tension on body A is $\dfrac{4}{3}$ the tension on body B, what is the ratio of the kinetic energy of body A to the kinetic energy of body B?
(1) $\dfrac{15}{9}$ (2) $\dfrac{9}{10}$ (3) $\dfrac{6}{5}$ (4) $\dfrac{5}{6}$

166. A car with a mass of 3 tons moves on a horizontal surface along a circular path at a constant speed. If the maximum force from the ground on the car is $10^4 \times \sqrt{10}\,\text{N}$ and $g = 10^4$, the centripetal force exerted on the car is how many newtons? $\left(g = 10\,\dfrac{\text{m}}{\text{s}^2}\right)$
(1) $10^3$ (2) $10^4$ (3) $3\times10^3$ (4) $3\times10^4$

167. The amplitude of oscillation of a 1\,kg mass attached to a spring with constant $5\,\dfrac{\text{N}}{\text{cm}}$ is 4\,cm, and it oscillates on a horizontal frictionless surface. If the potential energy of this oscillator at a point $0.2$ from the path is large, the speed of the oscillator at this moment is how many centimeters per second? (Ignore friction forces.)
(1) $20\sqrt{10}$ (2) $40\sqrt{10}$ (3) $30\sqrt{\Delta}$ (4) $40\sqrt{5}$