97- According to paragraph 1, Dave Farrow \ldots\ldots\ldots\ldots .

1. came up with the idea of writing the Guinness Book of World Records
2. set a world record for the greatest memory when he was a student
3. had difficulty with reading and writing at school
4. believes that he has a unique brain

98- The short-term memory can \ldots\ldots\ldots\ldots .

1. only hold data for up to 15 seconds
2. store huge amounts of information at one time
3. hold a limited number of things for a limited length of time
4. only transfer seven things to the long-term memory at one time

99- Based on the acronym given in paragraph 3, which of the following words is NOT among the colors of a rainbow?
1) Purple 2) Yellow 3) Violet 4) Orange

100- The paragraph following the last paragraph of this passage would most probably be about \ldots\ldots\ldots\ldots .

1. the story of the fictional character Roy G. Biv
2. the study skills that helped Dave Farrow train his memory
3. reasons why the short-term memory easily throws information away
4. another trick to hold many things in the short term memory at the same time

103-- Consider sets $A$, $B$, $C$, and $D$. The number of elements of $C$ is two units more than $A$, and the number of elements of $D$ is three units less than $B$. If the number of elements of $C \times B$ is $25\%$ more than the number of elements of $A \times B$, and $\frac{1}{5}$ of the number of elements of $A \times D$ equals the number of elements of $A \times D$, what is the difference between the number of elements of sets $A$ and $B$?
(1) $2$ (2) $5$ (3) $7$ (4) $15$

104-- If $A$ and $B$ are two finite sets from the universal set $U$, the set $[(B \cup A) \cap B] \cap (B \cap A)$ is equal to which set? $A' \cup (B \cap A)$
(1) $(A-B)'$ (2) $B-A$ (3) $B$ (4) $\varnothing$

105-- Which of the following statements is logically equivalent to $q$: $(\sim p \vee q) \Leftrightarrow (\sim p \vee q)$?
(1) $p$ (2) $p \vee q$ (3) $q$ (4) $\sim p \Leftrightarrow q$

111-A $\rightarrow$ Page 2

Note: Failure to enter personal information and signatures in the table below is equivalent to your absence from the exam session.

Here with your candidate number \ldots\ldots\ldots\ldots with full knowledge of being one candidate number, your seat number with the candidate number listed on the entry card to the session, on the answer sheet and booklet of questions, type and control are confirmed by us at the bottom of the answer sheet.

Signatures:

1. What is the meaning of each of the following words in order? Which option is correct? ``درع، آورد، بهرام، سپردن''
   
   1. [(1)] armor, battle, planet Mars, to fly
   2. [(2)] battlefield, arena of battle, planet Mars, to advance
   3. [(3)] sleeping, sorrow and grief, planet Mars, to fly
   4. [(4)] a war garment made of iron rings, to build, war, planet Mars, to arrive
   
   
2. Which meanings for each of the words are all correct? Except:
   
   1. [(1)] (درایت: knowledge, insight), (کذا: that, so), (چنان: like that)
   2. [(2)] (خوش‌لقا: beautiful, good-looking), (غایت: end, conclusion, relief)
   3. [(3)] (طاعن: fault-finder, critic), (انبان: bag, leather pouch)
   4. [(4)] (فریادخواندن: to seek help, to request), (دادخواهی‌کردن), (صلت: reward, prize)
   
   
3. How many words are incorrect in meaning? (شگرف: برتر)، (ایدون: این چنین)، (رواق: درگاه)، (منّت: نیکویی)، (وجه: وجود)، (جبـین: جبهـه)، (سـرحد: تهـه)، (مضغ: بلع)، (فاحش: واضح)
   
   1. [(1)] three (2) four (3) five (4) six
   
   
4. Which option correctly conveys the meanings of the words: سرشت، خودداری، لیرنگ‌سازی، ناله و فریاد، مانع?
   
   1. [(1)] امتناع، تبع، کید، محظور، ضجّه، امتناع
   2. [(2)] لغیمی، محظوظ، طبع، امتناع، شبه
   3. [(3)] تلبیس، محظور، طبع، ضجّه، امتناع
   4. [(4)] طبع، مخذول، طبع، تلبیث، محظور، غو
   
   
5. Which sentence is completely correct?
   
   1. [(1)] به احتمام تو از قصد ایشان ایمن گشتم و قبول صلح تو برای رد حملهٔ ایشان فرض گشت.
   2. [(2)] قوی‌رای به هیچ حال وحشت به خود راه ندهد و خوف و حیرت را در حواشی دل مجال نگذارد.
   3. [(3)] پس از تأمل و مشاورت او را به مکان اعتماد خویش گردانید و ثقت او به دانش و کفایت زیادت گشت.
   4. [(4)] بی‌معونت و مظاهرت من از آن خلاص نتواند یافت و شاید بود که سخن من به گوش خرد استماع نماید.
   
   
6. In which sentences are there spelling errors? الف- ملک از دارالفرور دنیا به دارالسرور آخرت پیوست و صریر ملک به فرزند مهترین سپرد. ب- اگر از این بگذریم و مهمات شرع و رسم، مهمل گذاریم، نقض عهد و ایمان کرده باشیم. ج- روزی مگر آواز جرس به گوش انوشیروان رسید. وی از جای بجست و به گوشهٔ بام سراچهٔ خلوت آمد. د- عدل پادشاه آن است که خلایق را از چنگال قهر او برهاند و آن ولایت از دست تقلّب او انتزاع کند.
   
   1. [(1)] ب - ج (2) الف - د (3) الف - ب (4) ج - د
   
   
7. In which poem are allusion (استعاره), ambiguity (ایهام) and antithesis (تضاد) all found?
   
   1. [(1)] مهر و ماهش را فلک در صد هزاران پرده پوشد گـر نقـاب از چهـره بـردارد نگـار بـی‌نظیـرم
   2. [(2)] گرچـه کـام ز لـب نـوش تـو تلـخ اسـت اتـا گـر کسـی گـوش دهـد قمتـهٔ شـیرین دارم
   3. [(3)] هـر سـر مـوی مـرا از تـو امیـد دگـر اسـت وه کـه بـا ایـن همـه امیـد بسـی نومیـدم
   4. [(4)] کـاش ابـروی کجـش بنگـری از دیـدهٔ راسـت تـا بـدانی کـه چـرا کشـتهٔ شمشـیر شـدم
   
   

%% Page 4 Persian Language and Literature $\leftarrow$ 111-A $\rightarrow$ Page 3

115- The value of $\displaystyle\lim_{x \to -1} \dfrac{\sqrt{2x+3} - \sqrt{-2x+4}}{1 + \sqrt[3]{x}}$ is which of the following?
(1) $3$ (2) $\dfrac{1}{2}$ (3) $-2$ (4) $-\dfrac{3}{2}$

116- The function $f(x) = \begin{cases} |x| + [-x] & |x^2| < x^2 \\ 1 + \cos\pi x & |x^2| = x^2 \\ [x^2] - [x] & |x^2| > x^2 \end{cases}$ has how many points of discontinuity?
(1) $2$ (2) $3$
(3) Uncountable (4) Continuous everywhere.

118- The natural numbers are grouped in such a way that the number of members in each group (except the first and second groups) equals the sum of the members of the two preceding groups; that is: $\ldots, \{11, 12\}, \{7, 8, 9, 10\}, \{4, 5, 6\}, \{2, 3\}, \{1\}$. What is the average of the members of the thirteenth group?
(1) $2204.5$ (2) $3072.5$ (3) $4350.5$ (4) $6144.5$

119- The function $f(x) = \dfrac{|2x+1|+2x}{|x|+b}$ has two oblique asymptotes and each root of the function is excluded from the domain of the function. If the limit of the function as $x \to 1^+$ is finite, what is $\displaystyle\lim_{x \to 1^+} f(x)$?
(1) $-3$ (2) $1$ (3) $-\dfrac{1}{2}$ (4) $\dfrac{1}{2}$

121-A $\rightarrow$ Page 4

131. In a right triangle, two altitudes are drawn from the vertex of the right angle onto the hypotenuse, creating lengths of $2/5$ and $14/4$ centimeters on the hypotenuse. What is the length of the altitude drawn onto the hypotenuse in centimeters?
(1) $4/8$ (2) $6$ (3) $7/2$ (4) $8$

132. In the regular hexagon below, what is the area of the shaded region in square centimeters?
[Figure: A regular hexagon with a shaded region consisting of triangular areas near the corners]
\begin{flushright} (1) $3\sqrt{3}$
(2) $2\sqrt{3}$
(3) $3$
(4) $2$ \end{flushright}

133. In the figure below, $AB \parallel EF$, and the arcs measure $\widehat{AE} = 15°$, $\widehat{EC} = 80°$, $\widehat{FD} = 100°$. If $\widehat{BME} = 25°$, what is the measure of angle $\widehat{ABD}$?
[Figure: A circle with points $A$, $B$, $C$, $D$, $E$, $F$, $M$ marked, with $AB \parallel EF$]
\begin{flushright} (1) $71/25$
(2) $74$
(3) $75$
(4) $78/75$ \end{flushright}
%% Page 8

134- An isosceles trapezoid with leg length $a$ and $6$ bases, on a circle with area $15\pi$ is circumscribed. The perimeter $a$ is equal to which value?
\[ \text{(1)}\ \frac{25}{3} \qquad \text{(2)}\ 8 \qquad \text{(3)}\ \frac{33}{3} \qquad \text{(4)}\ 15 \]

135- The length of the common internal tangent of two circles with internal radii $3/5$ cm and the area of the region bounded between them is $21\pi$ square centimeters. The diameter of the smaller circle is how many centimeters?
\[ \text{(1)}\ 1/25 \qquad \text{(2)}\ 1/75 \qquad \text{(3)}\ 2/25 \qquad \text{(4)}\ 2/75 \]

141- In the conic $x^2y^2 - 2ay + Ax + b = 0$, the point $(1, -1)$ is a vertex. What is the value of $\dfrac{a}{b}$?
(4) $-\dfrac{1}{3}$ (3) $-\dfrac{1}{5}$ (2) $\dfrac{1}{5}$ (1) $\dfrac{1}{3}$

143- Two vectors have equal magnitudes, make an angle of $60°$ with each other, and the angle between the larger and smaller of the two vectors is how many degrees?
(4) $120$ (3) $60$ (2) $45$ (1) $30$

145- Two numbers $a^{-2}$ and $6 + 14a$, the units digit of $a^2 + a$ equals which of the following?
(4) $8$ (3) $7$ (2) $3$ (1) $2$

146- If $x$ and $y$ are both natural numbers, how many solutions does the linear Diophantine equation $789 = 11y + 12x$ have?
(4) $6$ (3) $5$ (2) $4$ (1) $3$

147- In a complete graph $G$, $q(G) = \Delta^2(G) - 25\delta(G)$. What is $p(G)$?
(4) $8$ (3) $7$ (2) $6$ (1) $5$

148- The degrees of vertices of a simple, connected graph are $a, b, c, 2, 2, 3, 3, 4, 5$. If the graph has $\frac{1}{5}$ equal to $(a+b+c)$, how many different cases does the set $\{a, b, c\}$ have?
(4) $2$ (3) $3$ (2) $5$ (1) $4$

151- A speed of 216 kilometers per hour is equal to how many miles per minute? (Assume one mile = 1800 meters.)
(1) $2$ (2) $2.5$ (3) $3$ (4) $3.6$