Unofficial practice · EUEE

2015 E.C. SAT Social stream EUEE past paper

54 questions · 2015 E.C. / 2023 G.C. · Social stream · unofficial

Unofficial practice for the 2015 E.C. / 2023 G.C. Social stream SAT Ethiopian University Entrance Exam (EUEE / matric). 54 question stems from the Abrari bank are listed below. Not an official Ministry, EAES, MoLS, or OCACC paper.

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Unofficial EUEE past-paper items. Not an official key.

1 / 5satantonym

Devaluation

Unofficial practice. Abrari is an independent study aid and is not affiliated with, endorsed by, or an official product of the Ethiopian Ministry of Education (MoE), EAES, MoLS, or OCACC. Answers are Abrari keys, not an official marking scheme.

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Stems are visible for study. Worked solutions stay inside each item and are unofficial.

Q1 · antonym

Devaluation
  1. A. Conversion
  2. B. Appreciation
  3. C. Reduction
  4. D. Speculation
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

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Q2 · antonym

Prospect
  1. A. Retrospect
  2. B. Traditional
  3. C. Ideal
  4. D. Modernist
Worked solutionUnofficial

Unofficial keyed letter A. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q3 · antonym

Distraction
  1. A. Concentration
  2. B. Recovery
  3. C. Interference
  4. D. Wandering
Worked solutionUnofficial

Unofficial keyed letter A. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q4 · synonym

Abundance of water resources characterize Ethiopia that it is well styled as the water tower of Africa.
  1. A. Drainage
  2. B. Plenitude
  3. C. Confluence
  4. D. Irrigation
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q5 · synonym

Some African countries suffer from regular drought and famine.
  1. A. Frequent
  2. B. Constant
  3. C. Unpredictable
  4. D. Perpetual
Worked solutionUnofficial

Unofficial keyed letter A. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q6 · synonym

The invention of the atomic bomb was regrettable for Albert Einstein himself.
  1. A. Exploration
  2. B. Discovery
  3. C. Extinction
  4. D. Explosion
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q7 · synonym

The Committee does not know why the company has revoked the contract of employment.
  1. A. Endorsed
  2. B. Cancelled
  3. C. Revised
  4. D. Approved
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q8 · analogy

RAINBOW : SPECTRA, Constellation : __________
  1. A. Oasis
  2. B. Star
  3. C. Blue
  4. D. Glacier
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q9 · analogy

EYES : GOGGLES, Foreheads: ____________
  1. A. Belt
  2. B. Helmet
  3. C. Gloves
  4. D. Necklace
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q10 · analogy

WILDFIRE; DEFORESTATION; Drought:______
  1. A. Thunderbolt
  2. B. Flooding
  3. C. Landslide
  4. D. Desertification
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q11 · analogy

KING: CROWN; Archpriest: ________
  1. A. Screeches
  2. B. Headgear
  3. C. Whistles
  4. D. Horn
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q13 · reading-comprehension

According to the passage, two of the legacies which characterize Ethiopia are:
  1. A. Tourism and manufacturing industries
  2. B. Import and export trade
  3. C. Literary and sovereignty
  4. D. Mechanization and industrialization
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q14 · reading-comprehension

What was the attitude of Western media towards Ethiopia's traditions?
  1. A. Destructive
  2. B. Objective
  3. C. Constructive
  4. D. Mysterious
Worked solutionUnofficial

Unofficial keyed letter A. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q15 · reading-comprehension

In which of the following countries were fewer victims observed in African colonial history?
  1. A. Great Britain
  2. B. Imperial Egypt
  3. C. Ethiopia
  4. D. Italy
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q16 · vocabulary-in-context

The word 'indigenous' could be used interchangeably with ________
  1. A. Foreign
  2. B. Exotic
  3. C. Local
  4. D. Borrowed
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q17 · reading-comprehension

What does the 'imperial game' in the paragraph 2 refer to?
  1. A. Decolonization of Africa
  2. B. European colonial ambition
  3. C. Liberation movement
  4. D. Diplomacy
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q18 · reading-comprehension

According to the writer, development initiatives should prioritize _______ and ________
  1. A. Poverty and prosperity
  2. B. Social and human development
  3. C. War and peace
  4. D. Migration and resource allocation
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q19 · vocabulary-in-context

The word 'Contemporary' in the first line denotes:
  1. A. Controversial
  2. B. Foreseeable future
  3. C. Glorious past
  4. D. Concurrent time
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q20 · reading-comprehension

Which one of the following strategies is NOT a democratic aspect of development?
  1. A. Integrating social and economic parameters
  2. B. Empowerment of the people
  3. C. Top-down approach
  4. D. Respect for cultural diversity
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q21 · reference-word

To which of the following does 'such' as used in paragraph 2 refer?
  1. A. development initiatives
  2. B. expectations of future generation
  3. C. expansion of infrastructure
  4. D. fulfilment of mankind's basic needs
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q22 · reference-word

What does the word 'We' in paragraph 2 refer to?
  1. A. The student population
  2. B. Future generations
  3. C. Development planners and policy-makers
  4. D. The people
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q23 · logical-reasoning

Statement: Abraham Lincoln who preserved the Union with his vigorous executive action during the national emergency is a legendary American hero. The abolition of slavery and the national unity of America are a tribute to his leadership. Which one of the following conclusions could be drawn from this premise?
  1. A. The determination of leaders salvages a country from balkanization.
  2. B. The example of Abraham Lincoln is not applicable to Africa.
  3. C. Slavery was abolished before the civil war
  4. D. American slaves were liberated before the civil war
Worked solutionUnofficial

Unofficial keyed letter A. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q24 · logical-reasoning

Statement: Ethiopia is the third populous country in Africa next to Nigeria and Egypt in that order. What is the implication of this statement in terms of human wealth and economic growth?
  1. A. The population of Ethiopia is as large as that of Egypt.
  2. B. The population of Nigeria is as large as that of Egypt.
  3. C. The population of Nigeria is twice as large as that of Egypt and Ethiopia.
  4. D. The population of Ethiopia is far less than that of Nigeria and Egypt.
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q26 · logical-reasoning

The gap between natural resources and population growth is one of the pressing problems of Afro-Asian countries. They are consequently under socio-economic pressure. Conclusions: (I) These countries should adopt population check mechanisms (II) These countries should mobilize their natural resources. (III) These countries should encourage cross-border migration (IV) These countries should adhere to traditional farming. Which one of the conclusions would logically follow from the above observation?
  1. A. Both III and IV would follow
  2. B. Only I would follow
  3. C. Both I and II are feasible
  4. D. Conclusions I, II and IV would follow
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q27 · logical-reasoning

Statement: The war between Russia and Ukraine, which were once integral parts of the USSR, has claimed millions of resources and thousands of lives. Conclusion I: Balkanization of countries leads to socio-political and economic crisis. Conclusion II: The interference of Western countries in the internal affairs of others should be tolerated. Conclusion III: The East-West rivalry is no longer a threat to world peace. The implication of this destructive war for other countries is stated under ________
  1. A. Conclusion I
  2. B. Conclusion II
  3. C. Both conclusions I & II
  4. D. Not given
Worked solutionUnofficial

Unofficial keyed letter A. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q29 · logical-reasoning

The evaluation of student performance is nothing more than enforcing academic justice. Which of the following is the most logical conclusion that can be drawn from this statement?
  1. A. The evaluation of student performance is a personal practice.
  2. B. Student evaluation is a matter of subjective judgment.
  3. C. Non-academic requirements should not interfere in the evaluation of student performance.
  4. D. No justice could be done to student evaluation.
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q30 · logical-reasoning

Diplomats enjoy a special privilege known as diplomatic immunity. Which of the following is the most logical conclusion that can be drawn from this statement?
  1. A. All men are born equal.
  2. B. International law is not discriminatory.
  3. C. This privilege is unjustifiable.
  4. D. Diplomats are not ordinary individuals.
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q31 · sentence-completion

The investors who import commodities from abroad _____ their national currency into hard currency.
  1. A. save
  2. B. convert
  3. C. hoard
  4. D. deposit
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q32 · sentence-completion

The _____ of power causes considerable constraints on the operation of manufacturing industries.
  1. A. supply
  2. B. disruption
  3. C. discharge
  4. D. erosion
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q33 · sentence-completion

The great game parks in Africa have been responsible for preserving _____ animals from extinction.
  1. A. pandemic
  2. B. endemic
  3. C. wild
  4. D. domestic
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q34 · sentence-completion

Only some of Magellan's crew members were privileged to gaze at the _____ view of the Pacific Ocean.
  1. A. telescopic
  2. B. panoramic
  3. C. provincial
  4. D. aerial
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q35 · sentence-completion

The _____ of modernization and national unity are the guiding principles of all countries.
  1. A. agenda
  2. B. ideals
  3. C. memories
  4. D. slogans
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q36 · absolute-value/real-numbers

Which one of the following is necessarily true about any real numbers x and y where x < 0 < y?
  1. A. | x - y | = -(x - y)
  2. B. (x + y) > 0
  3. C. | y - x | = -(y - x)
  4. D. (x + y) < 0
Worked solutionUnofficial

Unofficial keyed letter A. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q38 · ratio

What is the ratio of the number of female Mathematics students to the number of male Biology students? (Female Math=200, Male Biology=160)
  1. A. 10 to 11
  2. B. 5 to 4
  3. C. 1 to 2
  4. D. 11 to 14
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q39 · probability

If one student is randomly selected from this group, what is the probability that the student chosen is a female or a Mathematics student? (Female=440, Math=420, Female Math=200)
  1. A. 0.44
  2. B. 0.42
  3. C. 0.66
  4. D. 0.20
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q42 · percentage

The profit of a certain Company this year is 102% of last year's profit. If the total profit of this year is 2,040,102 Birr, what was last year's profit?
  1. A. 2,080,104 Birr
  2. B. 4,080,204 Birr
  3. C. 2,000,100 Birr
  4. D. 2,040,102 Birr
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q43 · exponential-model

The population of a certain colony of insects will double in size every year. The population at the beginning was estimated to be 3,150. If p represents the population after n years, then which one of the following equation represents the model of the population after n years?
  1. A. p(n)=2(3,150)np(n) = 2(3,150)^n
  2. B. p(n)=3,150(2)np(n) = 3,150(2)^n
  3. C. p(n)=3,150(2)n−1p(n) = 3,150(2)^{n-1}
  4. D. p(n)=2(3,150)n−1p(n) = 2(3,150)^{n-1}
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q44 · polynomial/remainder-theorem

Which one of the following is the remainder when f(x)=3x4−2x3−5x2+6f(x) = 3x^4 - 2x^3 - 5x^2 + 6 is divided by g(x)=x−1g(x) = x - 1?
  1. A. 3
  2. B. -2
  3. C. 2
  4. D. -3
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q45 · polynomial-functions

If f(x)f(x) and g(x)g(x) are nn and mm degree polynomial functions respectively and h(x)h(x) is the product of f(x)f(x) and g(x)g(x), then which one of the following is NOT true about h(x)h(x)?
  1. A. It has at most n+mn + m roots.
  2. B. It has at most n+m−1n + m - 1 turning points.
  3. C. It has at most m+nm + n x-intercepts.
  4. D. It has at most m+nm + n y-intercepts.
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q46 · algebra/inequality

Suppose xx and yy are positive real numbers and Q1(x,y)=(x+y)3Q_1(x,y) = (x+y)^3 and Q2(x,y)=x3+y3Q_2(x,y) = x^3 + y^3, then which one of the following is true about Q1Q_1 and Q2Q_2?
  1. A. Q1Q_1 is less than Q2Q_2.
  2. B. Q1Q_1 is greater than Q2Q_2.
  3. C. Q1Q_1 is equal to Q2Q_2.
  4. D. The relationship cannot be determined from the information given.
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q47 · arithmetic-sequence

Suppose 3, 7, 11, 15, 19, 23, ... are the first six terms of an arithmetic sequence, then which one of the following is the 15th term of the sequence?
  1. A. 60
  2. B. 66
  3. C. 59
  4. D. 52
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q48 · geometric-sequence

Which one of the following is the sequence defined recursively by G8=384G_8 = 384 and Gn=2G(n−1)G_n = 2G_{(n-1)}?
  1. A. 2, 4, 8, 16, 32 ...
  2. B. 7, 14, 28, 56, 112 ...
  3. C. 9, 18, 36, 72, 144 ...
  4. D. 3, 6, 12, 24, 48 ...
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q49 · series-sum

Which one of the following is the sum of all even natural numbers less than 99?
  1. A. 2,450
  2. B. 5050
  3. C. 5100
  4. D. 2,550
Worked solutionUnofficial

Unofficial keyed letter A. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q50 · geometric-series

Which one of the following is the sum of the first six terms of the sequence (5(2)n)n=1∞(5(2)^n)_{n=1}^{\infty}?
  1. A. 80
  2. B. 160
  3. C. 155
  4. D. 630
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q51 · linear-systems

Given the system of linear equations 2x+3y=112x + 3y = 11 and 3x+2y=93x + 2y = 9, if xx and yy satisfy the system, what is the value of y−xy - x?
  1. A. 2
  2. B. 3
  3. C. -2
  4. D. -3
Worked solutionUnofficial

Unofficial keyed letter A. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q52 · counting/permutations

A person wants to have a four digit password with the first digit greater than 5. How many different passwords the person can create using the digits 0 to 9?
  1. A. 2,560
  2. B. 4,000
  3. C. 10,000
  4. D. 5,040
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q53 · probability

A fair 12-sided die, with faces numbered 1 to 12, is to be rolled once. What is the probability of rolling a number that is not 4, 6, and 11?
  1. A. 14\frac{1}{4}
  2. B. 1112\frac{11}{12}
  3. C. 112\frac{1}{12}
  4. D. 34\frac{3}{4}
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q54 · percentage

A container contains 48 liters of water. If 5% of the water in the container is used, how much water is left in the container?
  1. A. 46.4
  2. B. 45.4
  3. C. 45.6
  4. D. 46.6
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q55 · algebra/geometry

The length of a rectangle is 3 units more than its width. If the width is increased by 4 units and the length is decreased by 2 units then its area will increase by 10 square units. What will be the length of the rectangle?
  1. A. 6 units
  2. B. 4 units
  3. C. 7 units
  4. D. 3 units
Worked solutionUnofficial

Unofficial keyed letter A. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q56 · linear-systems

Which one of the following is the solution set of the following system of linear equations: 2x+3y=12x + 3y = 1 and x−4y=6x - 4y = 6?
  1. A. {(−1,1)}\{(-1, 1)\}
  2. B. {(−2,−1)}\{(-2, -1)\}
  3. C. {(2,−1)}\{(2, -1)\}
  4. D. {(−2,1)}\{(-2, 1)\}
Worked solutionUnofficial

Unofficial keyed letter C. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q57 · linear-inequalities

Given that the system of linear inequalities x+y≥2x + y \geq 2 and x−y≤2x - y \leq 2. Then which one of the following ordered pair of numbers does not satisfy the system?
  1. A. (1, 3)
  2. B. (3, -1)
  3. C. (-1, 3)
  4. D. (3, 1)
Worked solutionUnofficial

Unofficial keyed letter B. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q58 · linear-inequalities

Let the system of linear inequalities be given by 2x+y≤62x + y \leq 6 and 4x+2y≤104x + 2y \leq 10. Then the system has
  1. A. infinite solutions.
  2. B. no solution.
  3. C. only two different solutions.
  4. D. unique solution.
Worked solutionUnofficial

Unofficial keyed letter A. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q59 · linear-model

The starting cost of getting a certain service is 110 Birr. If you have to pay 12 Birr per hour for each additional service you get, how long a time you use the service for 266 Birr payment?
  1. A. 13 hours
  2. B. 11 hours
  3. C. 10 hours
  4. D. 12 hours
Worked solutionUnofficial

Unofficial keyed letter A. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Q60 · similar-triangles

Suppose △ABC∼△DEF\triangle ABC \sim \triangle DEF and DFDF is two third of ACAC. If DE=12mDE=12m, then how much is ABAB?
  1. A. 8m
  2. B. 24m
  3. C. 6m
  4. D. 18m
Worked solutionUnofficial

Unofficial keyed letter D. A full worked solution is not published for this item yet.

Unofficial — solved by Abrari, not an official EAES key.

Practice this subject

Frequently asked questions

Are these official EUEE past papers?
No. Abrari publishes unofficial practice reconstructed from the study bank for this 2015 E.C. SAT paper. It is not an official EAES or Ministry paper and does not use government logos.
Are the answers official?
No. Letters and worked solutions are unofficial Abrari keys. Verified write-ups are labelled Unofficial. Do not treat them as an official marking scheme.
Is Abrari part of MoE, EAES, MoLS, or OCACC?
No. Abrari is an independent study aid. It is not affiliated with, endorsed by, or an official product of those agencies.
Do I need to pay to practice?
No. The questions on this page are free to read and try. There is no payment step.

Try 5 from this paper