Not Maths

All Questions
iran-konkur 2016 Q1 3 marks
1-1. If $\alpha = \sqrt[3]{3\sqrt{3}-4}$ and $\beta = \sqrt[3]{3\sqrt{3}+4}$, then the expression $(\alpha^2 + \beta^2 - \alpha\beta)(\alpha^2 + \beta^2 + \alpha\beta)$ equals which of the following?
(1) $6$ (2) $8$ (3) $6\sqrt{2}$ (4) $7\sqrt{2}$

1-2. For which values of $m$, the parabola $y = (m-2)x^2 - 2(m+1)x + 12$ cuts the $x$-axis at two points with negative lengths (i.e., both $x$-intercepts are negative)?
(1) $m > 2$ (2) $-1 < m < 2$ (3) every value of $m$ (4) no value of $m$

1-3. The graphs of two functions $f(x) = 3^{ax+b}$ and $g(x) = \left(\frac{1}{q}\right)^x$ intersect at a point with $x$-coordinate $-1$. If $f(2) = \frac{1}{3}$, what is $f^{-1}(27)$?
(1) $-2$ (2) $-2$ (3) $1$ (4) $2$

1-4. The figure below shows part of the graph of the function $y = a - 2\cos\!\left(bx + \dfrac{\pi}{2}\right)$. What is $a + b$?
[Figure: Graph of a cosine function; the curve passes through $y=1$ on the $y$-axis, with marked $x$-values at $\dfrac{\pi}{18}$ and $\dfrac{13\pi}{18}$]
(1) $\dfrac{1}{2}$ (2) $1$ (3) $\dfrac{3}{2}$ (4) $2$

1-5. If the expression $a - 10 + 14x - 4x^2 + ax^3 + 4x^4$ is divisible by the three terms $x^2 - 2x + 1$, what is $a$?
(1) $1$ (2) $2$ (3) $3$ (4) $4$

1-6. If the solution set of the inequality $\sqrt{3x+4} > 2|x-1| - x$ is the interval $(a, b)$, what is the length of this interval?
(1) $\dfrac{5}{2}$ (2) $2$ (3) $\dfrac{7}{2}$ (4) $4$

1-7. The domain of the function $f(x) = \sqrt{1 - \log(x^2 - 3x)}$ in interval form is which of the following?
(1) $[-2, \circ) \cup (3, 5]$ (2) $[-2, \circ) \cup (3, 5)$ (3) $[-2, 3)$ (4) $(\circ, 5]$
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10-- In the phrase below, which options are not eloquent?
``In that same moment of blowing, at the prospect of the annihilation of God and the passing of the divine messenger, reminding me of the helpless stork and the hardships of the people of deceit and trickery, the world was flying and the indecency of this Mostafa had been inserted into the door, and the loud sound of the telephone went out. I jumped up and immediately returned.''
(1) I jumped, I returned(2) airplane, door(3) Boqlamun, don(4) fana, God
11-- Which of the following literary devices is not present in the couplet below?
``Like troubled water, my soul runs on the palms of my hands to wherever it flows''
``To your stature and posture I see flowing on the feet of that rhythm''
(1) metaphor, simile(2) ambiguity (iham), appropriateness, metaphor
(3) personification, identification(4) allusion, paronomasia
12-- The semantic use of ``radif'' (refrain) differs in which couplet?
(1) From the dust, our complexion took the color of the skyThis secret, first in the heart of Adam, took
(2) The infidel line of ruby lips, you took me lessFrom the hand of Solomon, my fate took
(3) A cheerful eye carries forward the work of one's kinThe hem of the rose, from the lips of the beloved, took
(4) From the union, the moon of the last Zulaikha, the soul tookThe hand itself kissed the hem of every pure one, took
13-- In the poem below, how many compound, quasi-compound, and derived words exist -- compound -- derived?
``I am restless / the wind reminds me / the cloud / a story of the rootless Samanids / the wind with the leaves of the trees
says to me / what are you saying: / what comfort, man / you alone in your happiness / I in your beauty you grieve me''
(1) three, two, three(2) three, four, two(3) four, two, two(4) four, four, three
14-- In which group of words is the sequence ``four and three'' taken in the proper obligatory form?
(1) The fall of the government of Jabar, the rural areas of the straw
(2) The story of the adventure of Siavash, the return of the autumn season of imagination
(3) The granary of the city of Khvaf, the baskets of dry wheat
(4) Political game of the revolution, the great happiness of the people of the street
15-- In which of the sentences, the sentence ``three partial predicates'' is found?
(a) The ascetic in seclusion sat from the shoulder to the tavern
(b) You yourself find the jewel of one place to another
(c) The beggar of the city, look, who became the head of the assembly
(d) The dear rose became the booty of the shepherd
(e) In Dey it became and Bahman came
(1) alef, b, d(2) b, j, d(3) b, j, h(4) b, d, h
16-- How many syntactic nodes does the following sentence have?
``We are in existence and non-existence, in the dynamism and salvation of the universe, eternal permanence.''
(1) twenty-one(2) twenty(3) nineteen(4) eighteen

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17-- The concept of the proverb ``Home is not from oneself; the caretakers are from oneself'' is received from which verse?
  • [1)] How nature came and took shape
  • [2)] Eating and living to remember and mention
  • [3)] The grass should be proud that it found sustenance
  • [4)] With that which in existence food is the preservation of the soul

Come forward, speech advances, let go You believe that living is for the joy of eating Grass, be proud of what you became Bring food -- more than a measure was the grief
18-- The concept of the verse below is received from which verse? ``From the gift-givers, not from the pillars that have short sight''
  • [1)] The light that from the sun becomes radiant, is obtained
  • [2)] The clarity of a calm morning like the kindness of the heart
  • [3)] Give me the ability to give and the line of dervish-hood
  • [4)] Bad it is when one comes to the eye and the mouth is tongue and heart
19-- All verses below have proximity in meaning except: ``We flee from the sight of the people of ``Rahi''
  • [1)] Not every creature has humanity
  • [2)] Small and large in the eyes of the worthless
  • [3)] If a person has eyes and mouth and ears and nose
  • [4)] To the eyes and mouth and those people should not be a person
20-- The concept of which verse differs from the other verses?
  • [1)] The messenger went and brought news of the beloved
  • [2)] That which became -- both without news of each other
  • [3)] Far from pain, they have no physician, the women of Zanha
  • [4)] The messenger that sees no news of himself from himself

Open and closed, news from oneself has not From them -- a sentence -- and has news The remedy of one who has done such illness Another -- to me from one who -- news comes -- you?
21-- William Shakespeare, the famous poet, playwright and dramatist, in the ghazal ``Tarانه of Me'' which has been translated into Persian, says: ``We sharpen the axes of the eclipses'' meaning:
  • [1)] Unpleasant events, the mountains of youth threaten.
  • [2)] The passage of time, the memories of childhood make one regret.
  • [3)] The setting sun causes the increase of the dark colors of life.
  • [4)] Momentarily, misfortunes and discomforts replace the joy of birth.
22-- The verse below has proximity in meaning with which verse? ``The wind of the lie of the woman is straight and you straight-speaker''
  • [1)] The lie that makes the heart happy
  • [2)] From a bad mood I ask you and come -- I see
  • [3)] On the straight path, like the turning wind
  • [4)] Every morning and evening, a caravan of prayers from the road

``There -- to -- despite the wind of Saba, send me'' From the right -- the destruction, the guidance The wind of Saba is the head of all With the wind of Shamal and sometimes with the wind of Saba In the company of Shamal and Saba sends me
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23. Which of the following passages has the closest general meaning to the text below?

``The miser, the more he commits evil deeds, the more he takes from among the people; the more he increases in greed and malice, he goes down and is imprisoned in income and outcome.''

(1) Shah\ldots\ from sorrow\ldots\ heart despairing Nothing kept him that on resolve hunter came open
(2) Shah\ldots\ from sorrow\ldots\ heart of Salm\ldots\ Sea that on crop pigeon-\ldots\ stricken open
(3) The city crow and raven ornament\ldots\ and cage is not This dignity accompanied Shahbaz and Shahin have done
(4) Partridge, ate and again came for retribution from partridge Then eagle went and again that deed founded
24. Which verse below is most appropriate in meaning to the following verse?

``Far from the goodness of Layli you do not see''

(1) It was the gem of every\ldots\ his way that the body sometimes is growth and sometimes good
(2) But the eye of Majnun to Abr is rare that the color of the cheek of Layli\ldots\ took
(3) The beloved showed me to the eye\ldots\ should see The beloved as Niqab z rakh does not lift
(4) Everyone narrates why to imagine
25. Which verse has a different overall meaning from the other verses?

(1) Spring every year comes\ldots\ to flower-garden Spring came\ldots\ and flower-garden\ldots\ became
(2) Spring came and flower-garden\ldots\ became Remember when spring of the world became good
(3) Remember when spring of the world became good
(4) And in\ldots\ in existence from the breeze of spring came
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زبان عربی 111-C صفحه 6
$\blacksquare$ $\blacksquare$ Identify the most correct and accurate answer for translation, meaning, or approximation (26--33)
26. $\langle$ أ لم تَرَوا كيف خلق اللهُ سبعَ سماوات طِباقاً $\rangle$:
  1. Do you not see how God has created seven heavens for you?
  2. Do you not think that God has created seven heavens as they were for you?
  3. Do you not think about how God has created the seven heavens layer upon layer?
  4. Do you not see how God has created seven heavens layer upon layer?
27. « اللهمَّ؛ قد جعلتَ لنا مشاكل عديدة في الدّنيا حتّى تُرَبِّينا، فيسِّرها أنت علينا أيضاً»:
  1. O God; You have placed many problems in the world for us so that You may raise us, so make them easy for us too!
  2. O Lord! You have placed various hardships in the world for us so that You may raise us, so make them easy for us too!
  3. O Lord! You have placed various hardships in the world for us in the past so that You may raise us, so make them easy for us too!
  4. O God; You have placed various problems in the world for us so that You may raise us, so make them easy for us too!
28. « مفتاح الهدوء هو أن تعلم أنّه لا أثر لرأي الآخرين في حياتنا»:
  1. The key to calmness is that others' opinions in life have no effect on us!
  2. The key to calmness means knowing that others' opinions have no effect on our life!
  3. The key to calmness is that we know others' opinions have no effect in our life!
  4. The key to calmness is that we know others' opinions have no effect in life!
29. « إذا أساءك أحدٌ مقابل مروءتك إليه، فلا تخبر النّاس بما فعل بك حتّى لا تزول المروءة في الدّنيا»:
  1. Whenever someone acts badly toward you in return for your generosity, do not tell people what he has done to you, so that generosity does not disappear from the world!
  2. Whenever someone acts badly toward you in return for your generosity, tell people about what he has done to you, so that generosity remains in the world!
  3. When someone acts badly toward you in return for your generosity, tell other people about it, so that generosity remains in the world!
  4. If someone acts badly toward you in return for your generosity, do not tell other people about it, so that generosity does not disappear from the world!
30. Identify the Error:
  1. و لا تحزن بمصيبة قد وصلت إليك؛ و بر مصيبتی که به تو رسیده است، محزون مشو،
  2. فأنت لا تعلم ماذا قد أخذ الله منه؛ زیرا تو نمی‌دانی که خداوند چه چیزی را از او گرفته است،
  3. لا تحسد أحداً على نعمة أعطاه الله؛ بر کسی بخاطر نعمتی که خداوند به او داده حسادت نورز،
  4. فأنت لا تعلم ماذا سيعطيك الله بدلها؛ چه، تو نمی‌دانی پروردگارت چه چیزی را قرار است به تو بدهد!
31. $\langle$ و عبادُ الرّحمن الّذين يمشون على الأرض هوناً $\rangle$. Identify the inappropriate option for the meaning:
  1. تواضـــــع ســـــرعت رفعـــت افـــرازدت تکبّـــر به خـــاک انـــدر انـــدازدت!
  2. رهرو آن نیست که گه تند و گهی خسته رود رهرو آن است که آهسته و پیوسته رود!
  3. افتادگـــی آمـــوز اگـــر طالـب فیضی هرگز نخورد آب، زمینی که بلند است!
  4. بزرگـــان نکـــردند در خـــود نگـــاه خـــدا بینی از خویشتن بین مخـــواه!
32. « دنیا را رها کن تا کسی را که دوستش داری و دوستت دارد ببینی، و او پروردگار تو است!». Identify the correct form:
  1. دع الدّنيا حتّى تلقى من تحبّه و هو ربّك!
  2. إطرح الدّنيا حتّى تنظر من تحبّك و يحبّه، و هو إلهك!
  3. أدعي الدّنيا حتّى تنظري الّذي يحبّه و يحبّك، و هو إلهك!
  4. خلّصي من الدّنيا حتّى تلقي من تحبّها و يحبّك، و هو إلهك!

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Arabic Language 111-C Page 7
33 -- ``A wonderful phenomenon of the rainbow is that it results from the breaking of sunlight in a raindrop, which is very beautiful!''
  1. The phenomenon of the rainbow is the refraction of sunlight in the raindrops, and it is very beautiful!
  2. Indeed, the wonderful phenomenon of the rainbow is the refraction of light by the sun in the raindrops, and it is always beautiful!
  3. The phenomenon of the rainbow is wonderful and it is when the sun refracts the light at the raindrops, and it is very beautiful!
  4. Indeed, the phenomenon of the rainbow is wonderful when the sunlight refracts in the raindrop, and it is always beautiful!

$\blacksquare$ Read the following text carefully, then answer questions (34 -- 42) as appropriate to the text:
In life, wonderful phenomena invite us to acknowledge the existence of a great power and wise wisdom that governs them! As an example, consider these two topics:
Scientists recently wanted to make changes in the current radars by conducting research on the largest spider web network (which spiders make for it). And it was proven through them that the spider does not wait for insects to come to it, but uses these threads as a radar for insects! It uses these threads to guide the insects to fly toward it and move in the same locations that lead them to the spider!
As for the second, this noble verse: $\langle$ It is not appropriate for the sun to catch the moon, nor does the night precede the day, and each in its orbit swims $\rangle$ points to a scientific fact: that the Earth and with it the moon do not meet with the sun. These celestial bodies and planets move within precise calculations indeed!