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Qormaata galuumsa kutaa 12ffaa Herregaa, bara 2018 A.L.I (2026), maxxansa 6

Gaaffilee dhugaa qormaata galuumsa yunivarsiitii kutaa 12 kan Herregaa, akkuma barattoonni bara 2018 A.L.I itti fudhatanitti. Tokkoon tokkoon gaaffii deebii sirrii fi ibsa qaba. Qormaanni bara 2018 A.L.I maxxansa adda addaatiin bahe. Fuulli kun maxxansa 6 qaba; kaan gadi aanee tarreeffamaniiru.

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  • 2018 A.L.I (2026), maxxansa 6

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Gaaffii 1

Which of the following is true about the relation between the set of integers (Z), positive rational numbers (Q⁺) and rational numbers (Q)?

  1. A.Z ⊆ Q⁺
  2. B.Z ∩ Q⁺ = Q⁺
  3. C.Q⁺ ∪ Z ⊆ Q
  4. D.Z = Q⁺
Deebii fi ibsa ilaalaa

Deebii: C Q⁺ ∪ Z ⊆ Q

Maaliif

Since both the set of positive rational numbers (Q⁺) and the set of integers (Z) are subsets of the set of rational numbers (Q), their union is also a subset of Q.

Gaaffii 2

Which of the following is true?

  1. A.the set of irrational numbers are closed under multiplication
  2. B.the sum of two irrational numbers is always irrational
  3. C.the product of two irrational numbers is rational
  4. D.the set of rational numbers is closed under addition and multiplication
Deebii fi ibsa ilaalaa

Deebii: D the set of rational numbers is closed under addition and multiplication

Maaliif

The set of rational numbers is closed under both addition and multiplication because adding or multiplying any two rational numbers always results in a rational number.

Gaaffii 3

If the system { x + by = 10, ax + 2y = 20 } has infinite solutions, then values of a and b respectively?

  1. A.2 and 1
  2. B.-1 and 2
  3. C.1 and 2
  4. D.1 and 1
Deebii fi ibsa ilaalaa

Deebii: A 2 and 1

Maaliif

For the system to have infinitely many solutions, the equations must be dependent, which means 1/a = b/2 = 10/20 = 1/2, giving a = 2 and b = 1.

Gaaffii 4

The sum of two numbers is 75, two-third of larger number is 10 more than the smaller. What are the numbers?

  1. A.30 and 45
  2. B.35 and 40
  3. C.24 and 51
  4. D.25 and 50
Deebii fi ibsa ilaalaa

Deebii: C 24 and 51

Maaliif

Letting the numbers be x and y (with x > y), we have x + y = 75 and (2/3)x = y + 10. Solving this system yields the larger number as 51 and the smaller as 24.

Gaaffii 5

Which of the following is the solution set of 1 - 2|x+2| = 6?

  1. A.{}
  2. B.{1/2,9/2}
  3. C.{5,9}
  4. D.{-4}
Deebii fi ibsa ilaalaa

Deebii: A {}

Maaliif

Isolating the absolute value gives |x+2| = -2.5, which has no solution because the absolute value of a real number is always non-negative.

Gaaffii 6

The solution set of |5 - 3x| + 9 > 17 is:

  1. A.(-∞, -1] ∪ [13/3, ∞)
  2. B.(-∞, 13/3) ∪ (-1, ∞)
  3. C.(-1, ∞)
  4. D.(-∞, -1) ∪ (13/3, ∞)
Deebii fi ibsa ilaalaa

Deebii: D (-∞, -1) ∪ (13/3, ∞)

Maaliif

The inequality |5 - 3x| > 8 simplifies to 5 - 3x > 8 or 5 - 3x < -8, which yields x < -1 or x > 13/3, corresponding to the interval (-∞, -1) ∪ (13/3, ∞).

Qormaata guutuu PDF dhaan buufadhaa

Gaaffilee 51 kuusaa kana keessa jiran hunda akka waraqaa qormaataa maxxanfameetti, furtuu deebii ibsa 51 waliin immoo akka faayilii lammaffaatti. Maxxansaa yookiin daataa malee dubbisaa.

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Kunneen gaaffilee dhugaa qormaata galuumsa Herregaa bara 2018 A.L.I ti?

Eeyyee. Qormaata galuumsa yunivarsiitii biyyaalessaa kan Herregaa barattoonni bara 2018 A.L.I (2026) fudhatan irraa fudhataman. Kuusaan keenya gaaffilee isaa 51 qaba; tokkoon tokkoon isaanii deebii fi ibsa gara kitaaba barnootaatti qajeelchu qabu.

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