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Qormaata galuumsa kutaa 12ffaa Herregaa, bara 2016 A.L.I (2024), damee uumamaa

Gaaffilee dhugaa qormaata galuumsa yunivarsiitii kutaa 12 kan Herregaa, akkuma barattoonni bara 2016 A.L.I itti fudhatanitti. Tokkoon tokkoon gaaffii deebii sirrii fi ibsa qaba. Kun qormaata damee uumamaa ti. Dameen biraa bara sanuma qormaata Herregaa adda ta'e fudhate; gadi aanee tarreeffameera.

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Gaaffilee qormaata kanaa yaalaa

Deebii banuun dura tokkoon tokkoon gaaffii ofii keessaniin deebisaa. Ibsi gara kutaa kitaaba barnootaa sirriitti waan qajeelchuuf, yeroo gaaffii dogoggortan fuula kam irra deebi'uu akka qabdan ni beektu.

Gaaffii 1

Which one of the following is true about the Range and Interquartile Range of a given data?

  1. A.Both are measures of the variability of each item in the data.
  2. B.Both are measures of variation of the data.
  3. C.Both are affected by extreme values in the data.
  4. D.Both are considering only the middle 50% of the data.
Deebii fi ibsa ilaalaa

Deebii: B Both are measures of variation of the data.

Maaliif

Both range and interquartile range are measures of dispersion (variation) of a dataset. Unlike the range, the interquartile range is not affected by extreme values because it only measures the spread of the middle 50% of the data.

Gaaffii 2

Which one of the following numbers is the coefficient of x6y4x^{6}y^{4} in the expansion of (x+y)10(x + y)^{10}?

  1. A.240
  2. B.1260
  3. C.210
  4. D.4860
Deebii fi ibsa ilaalaa

Deebii: C 210

Maaliif

Using the Binomial Theorem, the coefficient of x6y4x^6y^4 in the expansion of (x+y)10(x+y)^{10} is given by (106)=10!6!4!=210\binom{10}{6} = \frac{10!}{6!4!} = 210.

Gaaffii 3

The altitude of a frustum of a regular square pyramid is 9 cm. What is the volume of the frustum if the side length of the upper base is 6 cm and the side length of the lower base is 10 cm?

  1. A.196 cm3^3
  2. B.324 cm3^3
  3. C.588 cm3^3
  4. D.108 cm3^3
Deebii fi ibsa ilaalaa

Deebii: C 588 cm3^3

Maaliif

The volume of a frustum of a square pyramid is V=13h(A1+A2+A1A2)V = \frac{1}{3} h (A_1 + A_2 + \sqrt{A_1 A_2}). Substituting h=9h = 9, A1=62=36A_1 = 6^2 = 36, and A2=102=100A_2 = 10^2 = 100, we get V=3(36+100+60)=588 cm3V = 3(36 + 100 + 60) = 588\text{ cm}^3.

Gaaffii 4

Which one of the following intervals is the solution set of the inequality ∣3−12∣x<5|3 - \frac{1}{2}| x < 5?

  1. A.(-2,8)
  2. B.(-4,16)
  3. C.(-8,2)
  4. D.(-16,4)
Deebii fi ibsa ilaalaa

Deebii: B (-4,16)

Maaliif

Assuming the typo in the absolute value represents ∣3−12x∣<5|3 - \frac{1}{2}x| < 5, we solve −5<3−12x<5-5 < 3 - \frac{1}{2}x < 5 to get −8<−12x<2-8 < -\frac{1}{2}x < 2, which simplifies to −4<x<16-4 < x < 16, yielding the interval (−4,16)(-4, 16).

Gaaffii 5

A sector of a circle of diameter 8cm is formed by a central angle of 45°. What is the area of the sector?

  1. A.(2π+8)(2\pi+8)cm²
  2. B.2π2\pi cm²
  3. C.π\picm²
  4. D.8π8\pi cm²
Deebii fi ibsa ilaalaa

Deebii: B 2π2\pi cm²

Maaliif

The radius of the circle is r=4 cmr = 4\text{ cm}. The area of the sector is given by A=θ360πr2=45360π(42)=2π cm2A = \frac{\theta}{360} \pi r^2 = \frac{45}{360} \pi (4^2) = 2\pi\text{ cm}^2.

Gaaffii 8

Which one of the following statements is the polynomial division theorem?

  1. A.If ff is a non-constant polynomial and cc is a real number, then x−cx - c is a factor of f(x)f(x) if and only if f(c)=0f(c) = 0.
  2. B.If f(x)f(x) and d(x)d(x) are polynomials such that d(x)≠0d(x) \neq 0 and degree(d(x))≤degree(f(x))\text{degree}(d(x)) \leq \text{degree}(f(x)), then there exist unique polynomials q(x)q(x) and r(x)r(x) such that f(x)=d(x)q(x)+r(x)f(x) = d(x)q(x)+r(x), where r(x)=0r(x) = 0 or degree(r(x))<degree(d(x))\text{degree}(r(x)) < \text{degree}(d(x)).
  3. C.If ff is a non-constant polynomial and cc is a real number, then the remainder when f(x)f(x) divided by x−cx - c is f(c)f(c).
  4. D.Let ff is a non-constant polynomial with integer coefficients. If the rational number cd\frac{c}{d} in its lowest terms is a root of ff, then cc is a factor of the constant term of ff and dd is a factor of the leading coefficient.
Deebii fi ibsa ilaalaa

Deebii: B If f(x)f(x) and d(x)d(x) are polynomials such that d(x)≠0d(x) \neq 0 and degree(d(x))≤degree(f(x))\text{degree}(d(x)) \leq \text{degree}(f(x)), then there exist unique polynomials q(x)q(x) and r(x)r(x) such that f(x)=d(x)q(x)+r(x)f(x) = d(x)q(x)+r(x), where r(x)=0r(x) = 0 or degree(r(x))<degree(d(x))\text{degree}(r(x)) < \text{degree}(d(x)).

Maaliif

Option B is the statement of the polynomial division theorem (also known as the division algorithm for polynomials). Options A, C, and D are the Factor Theorem, Remainder Theorem, and Rational Root Theorem, respectively.

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Qormaatilee Herregaa biroo bara 2016 A.L.I

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Qormaatilee Herregaa kan waggoota biroo

2018 A.L.I (2026)2018 A.L.I (2026), damee hawaasaa2018 A.L.I (2026), maxxansa 12018 A.L.I (2026), maxxansa 22018 A.L.I (2026), maxxansa 32018 A.L.I (2026), maxxansa 42018 A.L.I (2026), maxxansa 52018 A.L.I (2026), maxxansa 62017 A.L.I (2025)2017 A.L.I (2025), damee uumamaa2017 A.L.I (2025), maxxansa 12017 A.L.I (2025), maxxansa 22017 A.L.I (2025), maxxansa 42015 A.L.I (2023)2015 A.L.I (2023), damee uumamaa2015 A.L.I (2023), damee hawaasaa2014 A.L.I (2022)2014 A.L.I (2022), damee hawaasaa2013 A.L.I (2021)2013 A.L.I (2021), maxxansa 12011 A.L.I (2019)2009 A.L.I (2017)2008 A.L.I (2016)2007 A.L.I (2015)2006 A.L.I (2014)2005 A.L.I (2013)

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Qormaata kana taa'uu dura Herregaa qayyabadhu

Yaadannoon gabaabaan Herregaa kutaa 12 kaardii 32 qaba. Tokkoon tokkoon boqonnaa boqonnaadhaan kitaaba biyyaalessaa irraa qophaa'ee seericha, mallattoowwan isaa maal bakka akka bu'an fi dogoggora qabxii nama dhabsiisu ni ibsa.

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Kunneen gaaffilee dhugaa qormaata galuumsa Herregaa bara 2016 A.L.I ti?

Eeyyee. Qormaata galuumsa yunivarsiitii biyyaalessaa kan Herregaa barattoonni bara 2016 A.L.I (2024) fudhatan irraa fudhataman. Kuusaan keenya gaaffilee isaa 51 qaba; tokkoon tokkoon isaanii deebii fi ibsa gara kitaaba barnootaatti qajeelchu qabu.

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