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92- 1) opened & 2) opening & 3) to open & 4) been opened \end{tabular}

\fbox{\begin{minipage}{\textwidth} Part C: Reading Comprehension Directions: In this part of the test, you will read two passages. Each passage is followed by four questions. Answer the questions by choosing the best choice (1), (2), (3), or (4). Then mark your answer sheet. \end{minipage}}

Passage 1:
For many years people have been trying to create a simple universal language that would serve all over the world as a common means of communication. In the last three hundred years, more than seven hundred such languages have been suggested. The most successful and the most popular of these is a language called Esperanto. It was invented by Ludwig Zamenhof, who lived in Poland. When he was growing up, he saw that people from different backgrounds who lived in Poland had lots of difficulties communicating with each other. This often led to disagreements. Ludwig felt that a common language would help them understand each other better and agree with each other. So he began working on a common international language. He started his work while he was still at school! In 1887, he published some information about his new language. He did not use his real name. He used the name Dr. Esperanto (which means ``one who hopes''). Soon people from all over the world became interested in his language, called Esperanto. Today, Esperanto is spoken by about eight million people throughout the world. Many governments and international organizations recognize it in many ways. Esperanto is often used on radio broadcasts from official government stations.

93- What is the passage mainly about?
  1. The life of a Polish school boy
  2. Invention of a universal language
  3. How Esperanto has helped people
  4. How people often do not understand each other

94- What does the word ``these'' in line 4 refer to?
1) Years 2) Means 3) People 4) Languages
95- Which of the following statements is TRUE?
  1. Ludwig was afraid of people, so he changed his name.
  2. Ludwig started to work on his idea when he was very young.
  3. Esperanto has been widely used for the last three hundred years.
  4. May people did not understand Ludwig, so they disagreed with him.

96- What do we understand about Ludwig Zamenhof?
  1. He was hopeful that his invention would become successful one day.
  2. He had difficulty communicating with people when he was growing up.
  3. He spoke to eight million people in Esperanto.
  4. He worked at an official radio station.

%% Page 17 Passage 2:
Weather describes conditions, such as rain, wind, and sunshine, that occur during a short period of time in a particular place; climate is the overall pattern of weather in a region. From one moment to the next the weather can change. A warm, sunny day can be overtaken by a violent storm. Dark clouds form, high winds blow, and rain lashes the ground, yet it may be only a few minutes before the sunny weather returns. However, in some parts of the world, such as in parts of the tropics, the weather barely changes for months at a time. There it is always hot and heavy rains fall. Meteorologists are scientists who measure and forecast the weather. They do this by studying clouds, winds, and the temperature and pressure of Earth's atmosphere. But despite the use of satellites, computers, and other technology in weather forecasting, weather remains a force of nature that is hard to predict. Several thousand weather stations on land, ships, and aircraft measure weather conditions around the world. The stations contain instruments that record temperature, rainfall, the speed and direction of wind, air pressure, and humidity (the amount of water vapor in the air). Balloons called radiosondes carry instruments to take measurements high in the air. Weather satellites in space send back pictures of the clouds.
  1. [97-] Which of the following is TRUE about the difference between weather and climate?
    1. [1)] Weather refers to predictable atmospheric conditions.
    2. [2)] Climate refers to conditions such as rain and wind.
    3. [3)] Weather is a fixed climatic pattern in a region.
    4. [4)] Climate refers to a more constant condition.

  2. [98-] According to the passage, which of the following do meteorologists NOT do when forecasting weather?
    1. [1)] They study clouds.
    2. [2)] They study winds.
    3. [3)] They go high in the air in special balloons.
    4. [4)] They examine the pressure of Earth's atmosphere.

  3. [99-] What does the word ``barely'' in line 6 mean?
    1) Never 2) Often 3) Seldom 4) Occasionally
  4. [100-] Which of the following is NOT true?
    1. [1)] Weather stations are not built on land only.
    2. [2)] Weather stations contain highly advanced equipment.
    3. [3)] Radiosondes are balloons that take certain tools high in the air.
    4. [4)] Computers and satellites make it possible to predict weather without any difficulty.

%% Page 18
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%% Page 19
Nationwide University Entrance Exam --- Year 1394

Name: Booklet No. 2 Family Name: Candidate Number:

Islamic Republic of Iran Ministry of Science, Research and Technology National Organization for Educational Testing

{\Large Nationwide University Entrance Exam --- Year 1394}

Date: Thursday, 21/3/1394Specialized Exam
Mathematics and Technical Sciences Group


Number of Questions: 125 Time Allowed: 175 minutes

Subject, number of questions, question range, and time for the specialized exam of the Mathematics and Technical Sciences group:
No.SubjectNo. of QuestionsQuestion RangeTime (minutes)
FromTo
1Mathematics5510115585 minutes
2Physics4515620055 minutes
3Chemistry2520122525 minutes

%% Page 20 Mathematics 120-C Page 2

1-1. The terms of the sequence $\ldots, 2/39999, 2/3999, 2/399, 2/39, 2$ approach a fixed number very closely. What is the tenth term of the difference sequence of these fixed numbers?
(1) $10^{-11}$(2) $10^{-10}$
(3) $10^{-9}$(4) $2\times10^{-10}$


1-2. The function $f(x) = \log_2(ax + b)$ is defined only for $x \in \left(-\dfrac{1}{2}, +\infty\right)$ and is meaningful. If $f(4) = 2$, then what is $f\!\left(-\dfrac{1}{9}\right)$?
(1) $-2$(2) $-1$(3) $\dfrac{1}{2}$(4) $1$


1-3. A triangle has two sides of lengths 16 and 9 units, and its area equals $24\sqrt{5}$ square units. What is the largest side of this triangle?
(1) $21$(2) $22$(3) $23$(4) $24$


1-4. Using the digits $1, 2, 3, \ldots, 9$, in how many ways can a five-digit number be formed such that the second digit from the right is even?
(1) $6400$(2) $7200$(3) $8400$(4) $9600$


1-5. The number of terms of a geometric sequence is even. If the sum of all even-numbered terms equals 3 times the sum of all odd-numbered terms, what is the common ratio?
(1) $\dfrac{1}{3}$(2) $\dfrac{1}{2}$(3) $2$(4) $3$


1-6. For how many values of $a$, the function $f(x) = x^4 + ax^2 - 8x + 2$ is divisible by $x + 2$, and the smallest root of $f(x) = 0$ is which of the following?
(1) $1 - \sqrt{7}$(2) $1 - \sqrt{5}$
(3) $-1 - \sqrt{7}$(4) $-1 - \sqrt{5}$


1-7. What is the product of the real roots of the equation $\sqrt{x^2 + 4x + 5} = x^2 + 4x + 3$?
(1) $-2$(2) $1$
(3) $2$(4) $4$


1-8. The graph of the function $y = |2x - 6| - |x + 4| + x$ is strictly decreasing on an interval. What is the rule of its inverse function on that interval?
(1) $-x + 6;\ x < -4$(2) $-x + 5;\ x > 2$
(3) $-\dfrac{1}{2}x + 1;\ -4 < x < 2$(4) $-\dfrac{1}{2}x + 1;\ -4 < x < 10$

%% Page 21
111-C Page 3

  1. Figures of speech: contrast, ambiguity, comparison, personification, and simile — in which verses are they found in order?
    p{7cm}} (a) A heart that never found joy from a single grainChenin dar dam-e gham ta ki be buy-e dane beshinand
    (b) A woman going to her friend's house, saying: I will not goBegoftast ashk-e dideh-ye man rahgozar az man
    (c) Cho tu bar khiz-izi va az nasaz kharaman gordiSarv bar tarf-e golestan z hasia beshinand
    (d) On the road, after the veil, the veil is not presentDuri-ye gossman masbarke bud mane-e vesal
    (e) The salvation of the soul is the enemy of the friendVay bar hesal-e morqi ke dar in dam nabud

    (1) b, alf, h\={a}, j, d (2) j, d, alf, h\={a}, b (3) d, alf, h\={a}, j, b (4) d, j, alf, b, h\={a}
  2. In which verse are all three figures of speech (simile, metaphor, and personification) present?
    (1) To the imaginary castle and impossible metaphor Bakht mani ke khvabi va ta'bir-e to mohal
    (2) After a lifetime, the factory of regret opened Eshq-e ganji ast ke afzuniyash az enfaq ast
    (3) Chon gol raft va golestan dar gozasht Neshanov-e zan pas z bolbol sargozasht
    (4) To the desert of delusion, until who lost you like the wind? Nemibiini rahi, tarsam ke gom gardi cho va vagardi
  3. Which of the following verses contain figures of speech?
    ``An che midanand matam-e tanparestan, sur-e mast'' Dar, nakhl-e digaran va rayat-e Mansur-e mast''
    (1) Ambiguity, metaphor, allusion, contrast (2) Metaphor, simile, ambiguity, appropriateness, genus
    (3) Allusion, contrast, genus, ambiguity (4) Simile, ambiguity, appropriateness, contrast, allusion
  4. In the phrase: ``This tireless daily effort, this unbearable struggle, and always eating from the beauty of love that we offer to God'' — how many taka'oz (contradictions) exist?
    (1) two and five (2) two and six (3) three and seven (4) three and eight
  5. The head noun of all the following noun phrases is correct except:
    (1) Determining the precise semantic elements of language: (arzesh)
    (2) The collection of literary works of this land and region: (majmu'eh)
    (3) The relationship of coexistence of each language unit with another language unit: (rabeteh)
    (4) The smallest language unit with direct and indirect meaning: (vahed)
  6. Which structural components of words, in order, are equivalent to (dahshat — nazm — zirnvis — abreft)?
    (1) rosh — nashkar — zirbina — khodapasand (2) negaesh — natamam — doronma — dast farsud
    (3) kash — nadar — pish pardeh — dast pokht (4) aramesh — nadorost — dast bus — sarneveshteh
  7. In which sentence does a motamm noun exist?
    (1) An element contrary to the pride of the gazelle, describing it more.
    (2) Appropriate words and expressions, written to give artistic value.
    (3) In the poetry of Asadi, religious feeling and attachment to the foundations of Islam dominate everything.
    (4) Naser Khosrow left the results of his philosophical reflections in Persian prose as a legacy.
  8. In the following sentences, what type of sentence is found except:
    ``The story of `ni' begins. `ni' is in fact a soul bewildered, separated from its origin and longing; returning to its origin — but how can it reach this origin? Only if love keeps it from putting its lips on the flute of complaints.``
    (1) three partial complements (2) two partial complements to mofool
    (3) four partial complements to mofool and motamm (4) four partial complements to mofool and motamm

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

  1. Which two couplets are most consistent with the meaning of ``Gratitude increases blessings''?
    (a) Be grateful wherever the guest comes to you Rozzi feeds himself from your table (b) Sugar opens the lock of the treasure Ganj (treasure) you will find by hand (c) Be grateful, for gratitude brings servants to you Pish (before) them be a man of good future (d) Sincere gratitude to you from me Shokr (gratitude) to God, I became devoted
    (1) alef -- b (2) alef -- j (3) b -- d (4) b -- j
  2. Which couplet has a different meaning from the other couplets?
    1. [(1)] May the meadow of Golshan be our hunting ground, and forever
    2. [(2)] Light a lamp at noon, for like the sun I shall rise
    3. [(3)] My essential soul was born to reach union with you
    4. [(4)] You, like the wind sweeping the royal carpet of the sky

    Tadhro bagh Ferdowsi, nasse morgh in Golstanam Z mohr Aastiyaan poshed me ar daman barafshaanam Jaraa az khooish begrizy va ba bigaane benshinni Koja baashad ke chon booman dar in viraane benshinni
  3. Which couplet is seen in the context of national and heroic epic?
    1. [(1)] Bejanbeside the camp of the warriors of Razm-gaah
    2. [(2)] The elders with their swords drawn
    3. [(3)] He gave the star Akhtar Kaavi\ldots
    4. [(4)] In the battle formation, Andaron was killed like Ashkbus

    Baroon takhst asb az miyan sepaah To gooyee ke ahan hami begasland Bar aan saan ke bodi be rasm kiyan Vazo shaadman shod del giv va toos
  4. ``Aftabish'' (his sun) has the closest meaning to which couplet: ``the heart of every flower is open''?
    1. [(1)] Like two atoms of every world, the sun shone
    2. [(2)] To the degree of loss, the moon reduces the sun
    3. [(3)] It is worth thousands of Kandars coming as a phrase
    4. [(4)] One bird of the heart did not leave the mark of Shekar Hasan

    ``Its foundation is baseless and without foundation'' --- which couplet
    1. [(1)] No such crow is desired in the eyes
    2. [(2)] We led the heart to the path of love, across the sea
    3. [(3)] Several days of prosperity and ruin, the water brought
    4. [(4)] The attachment to thorns and the nest of Khas --- what is it?

    Kan mive ke az sabr bar aamad shokri bood Dar aamad az mohr, aan del afrooz Ke sham dide afrozim dar mehraab abroyit Basar dar del z aarzoo ghofl shekibaayi zadam
  5. The verse: ``The old tent of Anas Mazn, in this ancient bond has a suitable meaning''?
    1. [(1)] With all the beauty of the world, closing the eyes is difficult
    2. [(2)] The flowing reason of the shore comes to the heart as a support
    3. [(3)] The turning wheel did not come from me, it was not on the path of kindness
    4. [(4)] In the garden, the rose comes to the wind

  6. Which couplet has a \textbf{different meaning from the other couplets?}
    1. [(1)] From now on, do not remind me of the bitterness of separation
    2. [(2)] Endure patiently, like one day --- one day
    3. [(3)] After several nights of patience, the Lord grants the power to see
    4. [(4)] Do not turn around in the dust of Kas --- Chosoon Kalid


%% Page 6 Persian Language and Literature 111-C Page 5
120-C Mathematics Page 3
125- In a circle with center $O$, we extend the radius $OA$ to point $B$ such that $B$ is tangent to the circle. The perpendicular $BD$ is dropped to the circle. If $\widehat{ADB} = 34°$, the angle $OAD$ is how many degrees?
  • [(1)] $68$
  • [(2)] $73$
  • [(3)] $107$
  • [(4)] $146$
126- In isosceles triangle $ABC$ ($AB = AC$), point $O$ is the center of the circle circumscribed about $AC$ that cuts $BC$ at point $B$ such that $BC$ is tangent to this circle at $D$. Triangle $OCD$ is:
  • [(1)] isosceles
  • [(2)] right-angled
  • [(3)] right-angled and isosceles
  • [(4)] indeterminate
127- In triangle $ABC$ $\left(AB = \dfrac{2}{3}AC\right)$, $ND$ is a line segment parallel to $AM$ where $AM$ is the median. What is the ratio $\dfrac{AD}{AE}$?
[Figure: Triangle $ABC$ with points $D$, $E$, $M$, $N$ where $B$, $M$, $N$, $C$ are on the base, $A$ is the apex, and $D$, $E$ are on sides $AD$ and $AE$ respectively]
  • [(1)] $\dfrac{4}{9}$
  • [(2)] $\dfrac{5}{9}$
  • [(3)] $\dfrac{2}{3}$
  • [(4)] $\dfrac{4}{5}$

%% Page 24
128. In triangle $ABC$, $AM$ is the median and $AD$ is the interior angle bisector. Which of the following is always true?
(2) $AM < AB$(1) $AM < BC$
(4) $AD < AM$(3) $AD < AB$
130. In triangle $ABC$, $M$ is the midpoint of side $BC$ and $AD$ is the angle bisector of angle $A$. The circumscribed circle of triangle $ADM$ is drawn.
[Figure: Triangle ABC with point M on BC, point D on BC, points B' and C' on the circle, and the circumscribed circle of triangle ADM]
The ratio $\dfrac{BB'}{CC'}$ equals which of the following?
(1) $1$
(2) $\dfrac{AB}{AC}$
(3) $\dfrac{AB'}{AC'}$
(4) $\dfrac{DB}{DM}$
131. Using which geometric transformation can one inscribe a square inside a triangle such that one side of the square lies on one side of the triangle and the other two vertices lie on the other two sides of the triangle?
(1) Rotation(2) Reflection
(3) Translation(4) Dilation
132. Point $A$ is outside the plane of triangle $BCD$. Determine the number of planes passing through $A$ such that points $D$, $C$, and $B$ are each at equal distance from it. How many such planes are there?
(4) $4$(3) $3$(2) $2$(1) $1$
145- If $n \in \mathbb{N}$ and $A_n = \left\{ m \in \mathbb{Z} : |m| \leq n,\ 2^m \leq 2n \right\}$, then the set $A_1 \cup (A_6 - A_4)$ has how many elements?
(1) $4$(2) $5$(3) $6$(4) $7$

146- The relation $\{(x,y): -x \geq |y|\}$ is defined on the set $A = \{x : |x| \leq 3\}$. The number of elements of this relation with correct coordinates is:
(1) $12$(2) $15$(3) $16$(4) $20$

149- In a complete graph of order 5, how many cycles of length 5 exist?
(1) $12$(2) $15$(3) $16$(4) $24$

151. The sum of two numbers 2772 and 2772 divided by the larger of them is 231 and the smaller number is the opposite. The difference of these two numbers is which of the following?
(1) $231$ (2) $462$
(3) $693$ (4) $924$
152. If the number $6 - x - x^2 + 2x^2$ multiplied by 53 is a perfect cube, the digit $x$ is which of the following?
(1) $6$ (2) $7$
(3) $8$ (4) $9$
153. The graph below is related to relation $R$. The matrix corresponding to $ROR$ has how many entries equal to one?
[Figure: A directed graph with vertices $a, b, c, d, e$ and directed edges between them]
(1) $7$
(2) $8$
(3) $9$
(4) $10$
154. The number of non-negative integer solutions of $4 \leq x_2 + x_3 \leq x_1 + x_2 + x_3$ is which of the following?
(1) $35$ (2) $32$
(3) $33$ (4) $35$
156- A moving object's velocity vector on a plane is $\vec{V}_1 = 2\vec{i} - 5\vec{j}$, and after 5 seconds it becomes $\vec{V}_2 = 17\vec{i} + 10\vec{j}$ (in SI). What is the magnitude of the average acceleration during this time interval (in meters per second squared)?
(1) $3\sqrt{2}$ (2) $5\sqrt{2}$ (3) $3$ (4) $5$
157- The velocity–time graph of a moving object along the x-axis is shown below. According to the graph, the average speed of the object during the time interval when the object moves in the negative x-direction is how many meters per second?
[Figure: V(m/s) vs t(s) graph. The velocity starts at 2 m/s, decreases linearly, crosses zero at time t, reaches $-15$ m/s, then increases back to zero at $t = 25$ s.]
(1) zero (2) $2.5$ (3) $7.5$ (4) $10$
158- The acceleration–time graph of a moving object whose initial velocity is $+5\,\dfrac{\text{m}}{\text{s}}$ is shown below. What is the average speed of the object during these 12 seconds (in meters per second)?
[Figure: $a\,(\text{m/s}^2)$ vs $t(\text{s})$ graph. Acceleration is $+4\,\text{m/s}^2$ from $t=0$ to $t=10\,\text{s}$, then $-2\,\text{m/s}^2$ from $t=10\,\text{s}$ to $t=12\,\text{s}$.]
(1) $13.5$ (2) $14$ (3) $27$ (4) $28$
159- A projectile is launched in vacuum from a height of 100 meters above the ground with initial speed $V_0$ at angle $\alpha$ above the horizontal. If the vertical component of the initial velocity is $20\,\dfrac{\text{m}}{\text{s}}$, how many seconds after launch does it pass through a height of 40 meters above the ground? $\left(g = 10\,\dfrac{\text{m}}{\text{s}^2}\right)$
(1) $2$ (2) $4$ (3) $6$ (4) $8$