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Waraqaalee qormaataa

Qormaata galuumsa kutaa 12ffaa Herregaa, bara 2015 A.L.I (2023), damee uumamaa

Gaaffilee dhugaa qormaata galuumsa yunivarsiitii kutaa 12 kan Herregaa, akkuma barattoonni bara 2015 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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  • Damee saayinsii uumamaa

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  • 2015 A.L.I (2023), damee uumamaa

    Bara qormaataa

  • Gaaffilee 52 deebii waliin

    Kuusaa kana keessa

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 4

A 20m high building casts a shadow of 4m, at the same time a 35m tree casts a shadow of x m. What is the value of x?

  1. A.8m
  2. B.11m
  3. C.7m
  4. D.15m
Deebii fi ibsa ilaalaa

Deebii: C 7m

Maaliif

Using the properties of similar triangles, the ratio of height to shadow is constant: 20/4=35/x  ⟹  5=35/x  ⟹  x=720/4 = 35/x \implies 5 = 35/x \implies x = 7m.

Gaaffii 5

A car started moving 9km to the East then moved 4 km to the North and then 12km towards West to reach its destination. How far the car it travelled from its starting point?

  1. A.25km
  2. B.12km
  3. C.4km
  4. D.5km
Deebii fi ibsa ilaalaa

Deebii: D 5km

Maaliif

The net displacement vector from the starting point (0,0)(0,0) is (9−12)i^+4j^=−3i^+4j^(9 - 12)\hat{i} + 4\hat{j} = -3\hat{i} + 4\hat{j}. The straight-line distance is (−3)2+42=5\sqrt{(-3)^2 + 4^2} = 5 km.

Gaaffii 6

When the polynomial P(x)=3x6+5x4−7x3+2kx2+3P(x) = 3x^{6} + 5x^{4} - 7x^{3} + 2kx^{2} + 3 is divided by (x + 1), the remainder is 4. What is the value of k?

  1. A.-5
  2. B.-7
  3. C.3
  4. D.6
Deebii fi ibsa ilaalaa

Deebii: B -7

Maaliif

By the Remainder Theorem, P(−1)=4  ⟹  3(−1)6+5(−1)4−7(−1)3+2k(−1)2+3=4  ⟹  18+2k=4  ⟹  k=−7P(-1) = 4 \implies 3(-1)^6 + 5(-1)^4 - 7(-1)^3 + 2k(-1)^2 + 3 = 4 \implies 18 + 2k = 4 \implies k = -7.

Gaaffii 8

Which of the following statement is true about f(x)=x2−6x+10f(x) = x^{2} - 6x + 10?

  1. A.f(x)≥2f(x) ≥ 2 for all x in the domain of f.
  2. B.The line x=1x = 1 is the axis of symmetry of the graph of f.
  3. C.The graph of f opens downward.
  4. D.The vertex of the graph of f is (3, 1).
Deebii fi ibsa ilaalaa

Deebii: D The vertex of the graph of f is (3, 1).

Maaliif

Rewriting the quadratic function in vertex form gives f(x)=(x−3)2+1f(x) = (x-3)^2 + 1, which shows that the vertex is indeed (3,1)(3, 1).

Gaaffii 9

What is the area of a regular hexagon inscribed in a circle of radius 6cm?

  1. A.483 cm248\sqrt{3} \,\text{cm}^{2}
  2. B.543 cm254\sqrt{3} \,\text{cm}^{2}
  3. C.48cm 2
  4. D.363 cm236\sqrt{3} \,\text{cm}^{2}
Deebii fi ibsa ilaalaa

Deebii: B 543 cm254\sqrt{3} \,\text{cm}^{2}

Maaliif

A regular hexagon inscribed in a circle of radius R=6R = 6 cm consists of six equilateral triangles each of side length 6 cm. Its area is 6×34(6)2=543 cm26 \times \frac{\sqrt{3}}{4} (6)^2 = 54\sqrt{3}\text{ cm}^2.

Gaaffii 10

Which of the following defines a prime number?

  1. A.It is a number that has more than two positive factors.
  2. B.It is a number whose only factor is 1.
  3. C.It is a number that has only two positive factors.
  4. D.It is a number whose only factor is itself.
Deebii fi ibsa ilaalaa

Deebii: C It is a number that has only two positive factors.

Maaliif

By definition, a prime number is a positive integer greater than 1 that has exactly two distinct positive factors: 1 and itself.

Qormaata guutuu PDF dhaan buufadhaa

Gaaffilee 52 kuusaa kana keessa jiran hunda akka waraqaa qormaataa maxxanfameetti, furtuu deebii ibsa 52 waliin immoo akka faayilii lammaffaatti. Maxxansaa yookiin daataa malee dubbisaa.

Bilisa; herregas hin gaafatu.

Qormaata guutuu sa'aatiin daangeffamee hojjedhaa

Herregni Temari bilisaa qormaata Herregaa guutuu fi kan waggoota biroo hunda qormaatilee fakkeenyaa sa'aatiin daangeffaman godhee qabxii battalumaa waliin isiniif kenna. Bilbila kamiyyuu irratti, walitti hidhamiinsa laafaa irrattillee ni hojjeta.

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Qormaatilee Herregaa biroo bara 2015 A.L.I

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.

Yaadannoo Herregaa bani
Kunneen gaaffilee dhugaa qormaata galuumsa Herregaa bara 2015 A.L.I ti?

Eeyyee. Qormaata galuumsa yunivarsiitii biyyaalessaa kan Herregaa barattoonni bara 2015 A.L.I (2023) fudhatan irraa fudhataman. Kuusaan keenya gaaffilee isaa 52 qaba; tokkoon tokkoon isaanii deebii fi ibsa gara kitaaba barnootaatti qajeelchu qabu.

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Lakkoofsa bilbilaatiin herrega bilisaa banadhaa. Qormaatichi guutuun qormaata fakkeenyaa sa'aatiin daangeffame ta'ee qabxii battalumaa kenna; fooyya'iinsi gargaaraa AI ji'atti qarshii 199 kan ta'e waan isin jalaa darbe hunda isinii ibsa.

Qormaata Herregaa bara 2015 A.L.I PDF dhaan buufachuu nan danda'aa?

Eeyyee; bilisas. Waraqaan gaaffii faayilii tokko, furtuun deebii ibsa isaa waliin immoo faayilii biraa ti; kanaaf qormaata dursitanii yaaluu dandeessu. Maxxansaa, yookiin yeroo daataan hin jirre irra deebiif bilbila keessan irratti kaa'adhaa.

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