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

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 hawaasaa ti. Dameen biraa bara sanuma qormaata Herregaa adda ta'e fudhate; gadi aanee tarreeffameera.

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2015 A.L.I (2023), damee hawaasaa
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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 9

Which one of the following defines a prime number?

A.It is a natural number where one of its factors is $3$ .
B.It is a natural number that has exactly two distinct factors.
C.It is an odd natural number that has only two factors.
D.It is a natural number that has an odd number of factors.

Deebii fi ibsa ilaalaa

Deebii: B It is a natural number that has exactly two distinct factors.

Maaliif

A prime number is defined as a natural number greater than 1 that has exactly two distinct positive divisors (factors): 1 and itself.

Gaaffii 10

Which one of the following is a vector quantity?

A.Temperature of a room.
B.Floor area of a classroom.
C.Speed of a motorbike.
D.Force to push a car.

Deebii fi ibsa ilaalaa

Deebii: D Force to push a car.

Maaliif

Force is a vector quantity because it has both magnitude and direction, whereas temperature, area, and speed are scalar quantities.

Gaaffii 13

Which one of the following is true for the values of the trigonometric functions for the indicated angles?

A. $\sin\left(\frac{5\pi}{2}\right)=-1$
B. $\tan(-3\pi)=-1$
C. $\cos\left(-\frac{3\pi}{2}\right)=0$
D. $\tan(7\pi)=-1$

Deebii fi ibsa ilaalaa

Deebii: C $\cos\left(-\frac{3\pi}{2}\right)=0$

Maaliif

Since cosine is an even function,

\cos(-\frac{3\pi}{2}) = \cos(\frac{3\pi}{2}) = 0

. The other options are incorrect:

\sin(\frac{5\pi}{2}) = 1

, and

\tan(-3\pi) = \tan(7\pi) = 0

.

Gaaffii 14

Which one of the following is true about the function $f(x) = \cos x$ ?

A.Domain of $f$ is $[-1,1]$ .
B.It is periodic with period $2\pi$ .
C.Range of $f$ is $\{y|y\in\mathbb{R}\}$ .
D.The difference between its maximum and minimum values is $2\pi$ .

Deebii fi ibsa ilaalaa

Deebii: B It is periodic with period $2\pi$ .

Maaliif

The function

f(x) = \cos x

is a fundamental trigonometric function with a domain of

\mathbb{R}

, a range of

[-1, 1]

, and a periodic nature of period

2\pi

.

Gaaffii 15

If the polynomial $f(x) = x^4 - 9x^2 + 22$ is divided by $x - 2$ , which one of the following are the quotient and remainder respectively?

A. $x^3 - 2x^2 - 5x + 10$ and $2$
B. $x^3 - 2x^2 - 5x + 10$ and $-2$
C. $x^3 + 2x^2 - 5x - 10$ and $-2$
D. $x^3 + 2x^2 - 5x - 10$ and $2$

Deebii fi ibsa ilaalaa

Deebii: D $x^3 + 2x^2 - 5x - 10$ and $2$

Maaliif

Using synthetic division or polynomial long division to divide

x^4 - 9x^2 + 22

by

x - 2

yields a quotient of

x^3 + 2x^2 - 5x - 10

and a remainder of

2

.

Gaaffii 16

Consider the graph of $f(x) = \log_5(x + 3)$ which is shown below. Which one of the following is NOT true about the function $f$ ?

A.The domain of $f$ is the set of all real numbers greater than $-3$ .
B.The x-intercept of the graph of $f$ is $-2$ .
C.The y-axis is a vertical asymptote of the graph of $f$ .
D.The function increases as the value of $x$ increases.

Deebii fi ibsa ilaalaa

Deebii: C The y-axis is a vertical asymptote of the graph of $f$ .

Maaliif

The vertical asymptote of the logarithmic function

f(x) = \log_5(x + 3)

occurs where the argument equals zero, which is at the line

x = -3

, not the y-axis (

x = 0

).

Qormaata guutuu PDF dhaan buufadhaa

Gaaffilee 44 kuusaa kana keessa jiran hunda akka waraqaa qormaataa maxxanfameetti, furtuu deebii ibsa 44 waliin immoo akka faayilii lammaffaatti. Maxxansaa yookiin daataa malee dubbisaa.

Bilisa; herregas hin gaafatu.

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Qormaatilee Herregaa biroo bara 2015 A.L.I

2015 A.L.I (2023)2015 A.L.I (2023), damee uumamaa

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Qormaatilee Herregaa kutaa 12ffaa hunda Qormaatilee bara 2015 A.L.I hunda Gosa barnootaa fi bara hunda

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 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 44 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.

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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.

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

Gaaffilee qormaata kanaa yaalaa

Which one of the following defines a prime number?

Which one of the following is a vector quantity?

Which one of the following is true for the values of the trigonometric functions for the indicated angles?

Which one of the following is true about the function f(x)=cos⁡xf(x) = \cos xf(x)=cosx?

If the polynomial f(x)=x4−9x2+22f(x) = x^4 - 9x^2 + 22f(x)=x4−9x2+22 is divided by x−2x - 2x−2, which one of the following are the quotient and remainder respectively?

Consider the graph of f(x)=log⁡5(x+3)f(x) = \log_5(x + 3)f(x)=log5​(x+3) which is shown below. Which one of the following is NOT true about the function fff?

Qormaata guutuu PDF dhaan buufadhaa

Qormaata guutuu sa'aatiin daangeffamee hojjedhaa

Qormaatilee Herregaa biroo bara 2015 A.L.I

Qormaatilee Herregaa kan waggoota biroo

Qormaatilee kana fakkaatan dabalataa

Qormaata kana taa'uu dura Herregaa qayyabadhu

Which one of the following is true about the function $f(x) = \cos x$ ?

If the polynomial $f(x) = x^4 - 9x^2 + 22$ is divided by $x - 2$ , which one of the following are the quotient and remainder respectively?

Consider the graph of $f(x) = \log_5(x + 3)$ which is shown below. Which one of the following is NOT true about the function $f$ ?