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SAT · EUEE topic

Quantitative reasoning: every EUEE question 2015–2018 E.C. (144 questions), solved

144 questions · 2015 ×39 · 2016 ×42 · 2017 ×43 · 2018 ×20

Number, algebra, geometry and data items from EUEE SAT papers. SAT has no MoE textbook, so there are no page references.

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2015 E.C.

2015 E.C. · natural · Q26 · analytical-reasoning

The migration of birds is attributed to impulses of weather. They flock from Polar Regions to the tropical zone or vice-versa following seasonal changes. The choice of their destination depends on whether or not these migratory birds are cold-blooded. The assumption of the above argument revolves around _____.
  1. A. the seasonal readjustment of cold-blooded birds
  2. B. the bipolar migration of all birds
  3. C. the survival of birds under the strains of climate
  4. D. the difference between polar and tropical birds
Worked solutionUnofficial

Answer: A

Answer A: the seasonal readjustment of cold-blooded birds. The stem is: The migration of birds is attributed to impulses of weather. They flock from Polar Regions to the tropical zone or vice-versa following seasonal changes. The choice of their destination depends on whether or not these migratory birds are cold-blooded. The assumption of the above… Letter A is the Abrari key for this analytical-reasoning.

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

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2015 E.C. · natural · Q28 · logical-reasoning

Statement: All public and private schools were closed down during the outburst of the Covid-19 pandemic, which also led to socio-economic crisis. Conclusions: I. The spread of Covid-19 was caused by the closure of schools. II. The spread of Covid-19 had forced the closure of schools apart from impacting the socio-economic sector. III. The outbreak of this virus had nothing to do with the social service sector. The writer seems to underline the consequences of Covid-19 as stated in
  1. A. conclusion I
  2. B. conclusion II
  3. C. conclusion III
  4. D. Not given
Worked solutionUnofficial

Answer: B

Answer B: conclusion II. The stem is: Statement: All public and private schools were closed down during the outburst of the Covid-19 pandemic, which also led to socio-economic crisis. Conclusions: I. The spread of Covid-19 was caused by the closure of schools. II. The spread of Covid-19 had forced the closure of sch… Letter B is the Abrari key for this logical-reasoning.

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

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2015 E.C. · natural · Q37 · data-interpretation-ratio

What is the ratio of the number of male freshman social science students to the number of female sophomore natural science students? (based on enrollment table: Freshman male 1000, Sophomore female 450; Social Science 30%, Natural Science 20%)
  1. A. 9 to 20
  2. B. 4 to 3
  3. C. 20 to 9
  4. D. 3 to 4
Worked solutionUnofficial

Answer: C

Answer C: 20 to 9. The stem is: What is the ratio of the number of male freshman social science students to the number of female sophomore natural science students? (based on enrollment table: Freshman male 1000, Sophomore female 450; Social Science 30%, Natural Science 20%) Letter C is the Abrari key for this data-interpretation-ratio. Computed 300:90 (=10:3) does not match options; option depends on the paper's intended allocation method. Verify against official key.

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

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2015 E.C. · natural · Q38 · percentage

If the total enrollment is 20 percent greater than it was five years ago, what was the total enrollment five years ago? (total 4,800)
  1. A. 3,600
  2. B. 4,600
  3. C. 3,000
  4. D. 4,000
Worked solutionUnofficial

Answer: D

Answer D: 4,000. The stem is: If the total enrollment is 20 percent greater than it was five years ago, what was the total enrollment five years ago? (total 4,800) Letter D is the Abrari key for this percentage.

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

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2015 E.C. · natural · Q39 · set-theory

How many students are either juniors or males or both? (males 2850, junior females 380)
  1. A. 1,000
  2. B. 2,850
  3. C. 620
  4. D. 3,230
Worked solutionUnofficial

Answer: D

Answer D: 3,230. The stem is: How many students are either juniors or males or both? (males 2850, junior females 380) Letter D is the Abrari key for this set-theory.

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

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2015 E.C. · natural · Q40 · data-interpretation

In which enrollment do the female students have the highest percentage?
  1. A. Freshman
  2. B. Junior
  3. C. Sophomore
  4. D. Senior
Worked solutionUnofficial

Answer: A

Answer A: Freshman. The stem is: In which enrollment do the female students have the highest percentage? Letter A is the Abrari key for this data-interpretation.

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

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2015 E.C. · natural · Q41 · data-interpretation

What is the number of male junior social science students? (junior males 620, Social Science 30%)
  1. A. 310
  2. B. 620
  3. C. 186
  4. D. 500
Worked solutionUnofficial

Answer: C

Answer C: 186. The stem is: What is the number of male junior social science students? (junior males 620, Social Science 30%) Letter C is the Abrari key for this data-interpretation.

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

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2015 E.C. · natural · Q42 · percentage

If your total income is 12,000 Birr per month and you can't spend more than 60% on housing, what is the maximum amount that can be spent on housing?
  1. A. 9,000 Birr
  2. B. 5,600 Birr
  3. C. 6,000 Birr
  4. D. 7,200 Birr
Worked solutionUnofficial

Answer: D

Answer D: 7,200 Birr. The stem is: If your total income is 12,000 Birr per month and you can't spend more than 60% on housing, what is the maximum amount that can be spent on housing? Letter D is the Abrari key for this percentage.

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

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2015 E.C. · natural · Q43 · functions-area

The perimeter of a rectangular farm is 80 meter. If the farm is y meter long and x meter wide, which function of x models the total area?
  1. A. f(x) = -x^2 + 40x
  2. B. g(x) = x^2 - 40x
  3. C. h(x) = -2x^2 + 80x
  4. D. k(x) = 2x^2 + 80x
Worked solutionUnofficial

Answer: A

Answer A: f(x) = -x^2 + 40x. The stem is: The perimeter of a rectangular farm is 80 meter. If the farm is y meter long and x meter wide, which function of x models the total area? Letter A is the Abrari key for this functions-area.

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

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2015 E.C. · natural · Q47 · arithmetic-sequence

Suppose {a_n} is an arithmetic sequence and a5 + a8 = 41 and a8 - a5 = 9, then which one of the following is the sequence?
  1. A. 2, 5, 8, 11, 14, ...
  2. B. 4, 7, 10, 13, 16, ...
  3. C. 1, 4, 7, 10, 13, ...
  4. D. 3, 6, 9, 12, 15, ...
Worked solutionUnofficial

Answer: B

Answer B: 4, 7, 10, 13, 16, .... The stem is: Suppose {a_n} is an arithmetic sequence and a5 + a8 = 41 and a8 - a5 = 9, then which one of the following is the sequence? Letter B is the Abrari key for this arithmetic-sequence.

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

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2015 E.C. · natural · Q48 · geometric-sequence

Which one of the following is the 100th term of the geometric sequence {G_n}, where G_n + G_{n-1} = 5 and G_3 = 5?
  1. A. 1
  2. B. -5
  3. C. 5
  4. D. -1
Worked solutionUnofficial

Answer: C

Answer C: 5. The stem is: Which one of the following is the 100th term of the geometric sequence {G_n}, where G_n + G_{n-1} = 5 and G_3 = 5? Letter C is the Abrari key for this geometric-sequence. Additive recurrence G_n+G_{n-1}=5 is inconsistent with a standard geometric sequence; likely a source typo. Answer uncertain.

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

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2015 E.C. · natural · Q49 · arithmetic-series

If a_n = 3n - 2, which one of the following is the sum of the first seven terms of the sequence?
  1. A. 70
  2. B. 19
  3. C. 72
  4. D. 28
Worked solutionUnofficial

Answer: A

Answer A: 70. The stem is: If a_n = 3n - 2, which one of the following is the sum of the first seven terms of the sequence? Letter A is the Abrari key for this arithmetic-series.

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

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2015 E.C. · natural · Q50 · geometric-series

Which one of the following is the sum of the first six terms of the geometric sequence {3(1/2)^(n-1)}?
  1. A. 93/16
  2. B. 189/32
  3. C. 45/8
  4. D. 381/64
Worked solutionUnofficial

Answer: B

Answer B: 189/32. The stem is: Which one of the following is the sum of the first six terms of the geometric sequence {3(1/2)^(n-1)}? Letter B is the Abrari key for this geometric-series.

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

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2015 E.C. · natural · Q52 · combinations

Suppose you want to select a 3-person committee from a group of 7 teachers. How many ways are there to do this?
  1. A. 210
  2. B. 35
  3. C. 60
  4. D. 120
Worked solutionUnofficial

Answer: B

Answer B: 35. The stem is: Suppose you want to select a 3-person committee from a group of 7 teachers. How many ways are there to do this? Letter B is the Abrari key for this combinations.

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

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2015 E.C. · natural · Q53 · probability

A box contains 12 pieces of paper naming 12 students (7 male, 5 female). What is the probability a randomly selected paper has a female student name?
  1. A. 5/12
  2. B. 5/7
  3. C. 7/12
  4. D. 5/10
Worked solutionUnofficial

Answer: A

Answer A: 5/12. The stem is: A box contains 12 pieces of paper naming 12 students (7 male, 5 female). What is the probability a randomly selected paper has a female student name? Letter A is the Abrari key for this probability.

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

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2015 E.C. · natural · Q54 · percentage-change

25% of trees did not grow in 2011 E.C. and 35% did not grow in 2014 E.C. What was the percentage increase in the fraction of trees that did not grow from 2011 to 2014?
  1. A. 60%
  2. B. 40%
  3. C. 50%
  4. D. 30%
Worked solutionUnofficial

Answer: B

Answer B: 40%. The stem is: 25% of trees did not grow in 2011 E.C. and 35% did not grow in 2014 E.C. What was the percentage increase in the fraction of trees that did not grow from 2011 to 2014? Letter B is the Abrari key for this percentage-change.

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

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2015 E.C. · natural · Q55 · percentage-change

A lake was 30m deep. Two months later, its depth decreased by 20%. Then it increased by 15% in three months. What was the cumulative percentage change over the five months?
  1. A. 6%
  2. B. 5%
  3. C. 8%
  4. D. 10%
Worked solutionUnofficial

Answer: C

Answer C: 8%. The stem is: A lake was 30m deep. Two months later, its depth decreased by 20%. Then it increased by 15% in three months. What was the cumulative percentage change over the five months? Letter C is the Abrari key for this percentage-change.

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

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2015 E.C. · natural · Q59 · word-problem-fractions

A woman spent one fifth of her salary for clothing, two fifth for different bills and 100 Birr for transport. She is left with 4,500 Birr. What was her salary?
  1. A. 11,500 Birr
  2. B. 12,500 Birr
  3. C. 13,500 Birr
  4. D. 10,500 Birr
Worked solutionUnofficial

Answer: A

Answer A: 11,500 Birr. The stem is: A woman spent one fifth of her salary for clothing, two fifth for different bills and 100 Birr for transport. She is left with 4,500 Birr. What was her salary? Letter A is the Abrari key for this word-problem-fractions.

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

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2015 E.C. · natural · Q60 · proportion-similar-triangles

A 16m tall building casts a 12m shadow. A nearby building casts an 18m shadow. If shadows are proportional to heights, what is the height of the taller building?
  1. A. 32
  2. B. 17
  3. C. 36
  4. D. 24
Worked solutionUnofficial

Answer: D

Answer D: 24. The stem is: A 16m tall building casts a 12m shadow. A nearby building casts an 18m shadow. If shadows are proportional to heights, what is the height of the taller building? Letter D is the Abrari key for this proportion-similar-triangles.

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

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2015 E.C. · social · 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

Answer: C

Answer C: Both I and II are feasible. The stem is: 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 th… Letter C is the Abrari key for this logical-reasoning.

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

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2015 E.C. · social · 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

Answer: B

Answer B: disruption. The stem is: The _____ of power causes considerable constraints on the operation of manufacturing industries. Letter B is the Abrari key for this sentence-completion.

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

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2015 E.C. · social · Q37 · data-interpretation/percentage

What percent of the total students is male below 18 years old? (Table: 1000 students; Male total 560, Female 440; Below 18 = 10%)
  1. A. 5.6%
  2. B. 2.4%
  3. C. 4.4%
  4. D. 3.4%
Worked solutionUnofficial

Answer: A

Answer A: 5.6%. The stem is: What percent of the total students is male below 18 years old? (Table: 1000 students; Male total 560, Female 440; Below 18 = 10%) Letter A is the Abrari key for this data-interpretation/percentage. Assumes age distribution is proportional across gender: 10% of 1000=100 below 18; males 56% -> 56 -> 5.6%.

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

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2015 E.C. · social · 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

Answer: B

Answer B: 5 to 4. The stem is: What is the ratio of the number of female Mathematics students to the number of male Biology students? (Female Math=200, Male Biology=160) Letter B is the Abrari key for this ratio. 200:160 = 5:4.

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

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2015 E.C. · social · 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

Answer: C

Answer C: 0.66. The stem is: 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) Letter C is the Abrari key for this probability. (440+420-200)/1000 = 660/1000 = 0.66.

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

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2015 E.C. · social · Q40 · data-interpretation

What is the number of female Mathematics students with age between (18-20) years? (Female Math=200; 18-20 = 60%)
  1. A. 20
  2. B. 200
  3. C. 60
  4. D. 120
Worked solutionUnofficial

Answer: D

Answer D: 120. The stem is: What is the number of female Mathematics students with age between (18-20) years? (Female Math=200; 18-20 = 60%) Letter D is the Abrari key for this data-interpretation. Assumes proportional age split: 60% of 200 = 120.

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

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