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#permutations, #combinations, and #probability

1. How many different ways can you arrange the letters in the word "MATH"?

(a) 6
(b) 12
(c) 24
(d) 30

2. A committee of 3 people is to be chosen from a group of 8 people. How many different committees are possible?

(a) 24
(b) 56
(c) 336
(d) 6720

3. What is the probability of rolling a 6 on a standard six-sided die?

(a) 1/2
(b) 1/3
(c) 1/6
(d) 1/4
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4. A bag contains 5 red balls and 3 blue balls. If you draw one ball at random, what is the probability that it is blue?

(a) 5/8
(b) 3/8
(c) 5/3
(d) 3/5

5. How many different 3-digit numbers can be formed using the digits 1, 2, 3, 4, and 5, if repetition of digits is allowed?

(a) 125
(b) 60
(c) 15
(d) 243

6. A coin is flipped twice. What is theh probability of getting at least one head?

(a) 1/4
(b) 1/2
(c) 3/4
(d) 1

7. A box contains 4 green marbles, 5 blue marbles, and 6 red marbles. If you select two marbles at random without replacement, what is the probability that both are green?

(a) 4/15
(b) 2/35
(c) 16/225
(d) 1/15

8. In how many ways can 5 different books be arranged on a shelf if a specific book must be at the beginning?

(a) 24
(b) 120
(c) 5
(d) 6

9. A standard deck of cards has 52 cards. What is the probability of drawing an Ace or a King?

(a) 2/13
(b) 1/26
(c) 4/13
(d) 1/13

10. You have 7 friends, and you want to invite 3 of them to a party. How many different groups of friends can you invite?

(a) 21
(b) 35
(c) 210
(d) 7!

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Geography Questions with Answers

1. What is the longest river in the world?
   - A) Amazon
   - B) Nile
   - C) Yangtze
   - D) Mississippi
   - Answer: B) Nile
2. Which is the largest desert in the world?
   - A) Sahara
   - B) Arabian
   - C) Gobi
   - D) Kalahari
   - Answer: A) Sahara
3. Which country has the largest population in the world?
   - A) India
   - B) United States
   - C) China
   - D) Indonesia
  - Answer: A) India
4. Which ocean is the largest by surface area?
   - A) Atlantic
   - B) Indian
   - C) Arctic
   - D) Pacific
   - Answer: D) Pacific
5. Which country is known as the Land of the Rising Sun?
   - A) China
   - B) Japan
   - C) South Korea
   - D) Thailand
   - Answer: B) Japan
6. The Great Barrier Reef is located in which country?
   - A) Indonesia
   - B) Philippines
   - C) Australia
   - D) Papua New Guinea
   - Answer: C) Australia
7. Which continent has the most countries?
    - A) Africa
    - B) Asia
    - C) Europe
    - D) South America
    - Answer: A) Africa
8. Which country is the largest by land area?
    - A) Canada
    - B) United States
    - C) China
    - D) Russia
    - Answer: D) Russia
9. Which river is the longest in Africa?
    - A) Congo River
    - B) Niger River
    - C) Nile River
    - D) Zambezi River
    - Answer: C) Nile River
10. Which is the most populous city in the world?
    - A) Tokyo
    - B) New York
    - C) Shanghai
    - D) Mexico City
    - Answer: A) Tokyo
11. What is the smallest continent by land area?
    - A) Europe
    - B) Antarctica
    - C) Australia
    - D) South America
    - Answer: C) Australia
12. Which ocean is the smallest by surface area?
    - A) Atlantic Ocean
    - B) Indian Ocean
    - C) Arctic Ocean
    - D) Southern Ocean
    - Answer: C) Arctic Ocean
13. Which U.S. state is known as the "Sunshine State"?
    - A) California
    - B) Texas
    - C) Florida
    - D) Arizona
    - Answer: C) Florida
14. Which desert is the largest hot desert in the world?
    - A) Gobi Desert
    - B) Arabian Desert
    - C) Kalahari Desert
    - D) Sahara Desert
    - Answer: D) Sahara Desert
15. Which climate zone is characterized by hot, dry summers and mild, wet winters?
   - A) Tropical
   - B) Mediterranean
   - C) Arctic
   - D) Continental
   - Answer: B) Mediterranean
16. What is the primary cause of climate change?
   - A) Deforestation
   - B) Volcanic eruptions
   - C) Greenhouse gas emissions
   - D) Solar flares
   - Answer: C) Greenhouse gas emissions
17. Which of the following countries has the highest population density?
   - A) Australia
   - B) Canada
   - C) India
   - D) Russia
   - Answer: C) India
18. What term describes a climate with consistent, heavy rainfall and high temperatures throughout the year?
   - A) Desert
   - B) Tundra
   - C) Tropical rainforest
   - D) Steppe
   - Answer: C)
19. Which climate type is found at the highest altitudes?
   - A) Desert
   - B) Polar
   - C) Highland
   - D) Temperate
   - Answer: C) Highland
20. Which continent has the highest average population density?
   - A) Europe
   - B) Asia
   - C) Africa
   - D) South America
   - Answer: B) Asia
21. What type of climate is characterized by cold, snowy winters and warm, humid summers?
    - A) Tropical
    - B) Desert
    - C) Continental
    - D) Polar
    - Answer: C) Continental
22. Which country has the fastest-growing population?
    - A) Japan
    - B) Germany
    - C) Nigeria
    - D) Italy
    - Answer: C) Nigeria
23. What is the term for the long-term average weather conditions in a particular region?
    - A) Weather
    - B) Climate
    - C) Atmosphere
    - D) Season
    - Answer: B) Climate
24. Which region is known for having a monsoon climate?
    - A) Amazon Basin
    - B) Mediterranean
    - C) Southeast Asia
    - D) Sahara Desert
    - Answer: C) Southeast Asia

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๐Ÿ†EUEE 2008 Aptitude

1. If n = 9 x 28 x 26, which of the following is NOT an integer?

A. n/18    B. n/32   C. n/21   D. n/36
Answer B

2. The sum of the first nine natural numbers (1, 2,.....,9) is

A. 90     B. 55   C. 45     D. 100
Answer  c

3. If a + b = 10 and a - b = 5, then a2- b2 is equal to

A. 50     B. 1/2   C. 5    D. 2
Answer A

4. In which of the following pair of number is the first number or expression necessarily less than the second number or expression?

A. 3/7 ; 9/49

B. x/4 ; 14/x , for x > 0

C. (2/3)^2 ; 2 /(3^2)

D. [(3/7)(24/25)]:1
Answer D

5. Which of the following fractions is greater than 3/4: and less than 5/6?

A. 1/2     B. 4/5   C. 2/3    D. 9/10
Answer B

6.  (100 x 5^4) = ?

A. 62500      B. 76600  C. 67000     D. 77200
Answer A

7. What decimal of an hour is a second?

A. 0.0167    B. 0.000126   C. 0.0256    D. 0.00027
Answer    D

8. What least number should be added to 1056, so that the sum is completely divisible by 23?
A. 18    B. 2     C. 3    D. 21

Answer  B

9. The largest 4 digit number exactly divisible by 88 is:

A. 9768   B. 9988   C. 9944   D. 8888
Answer  C

10. The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

A. 9600  B.9000  C. 9400  D. 9800
Answer  A

11. What is the missing number in the following series? 
1, 9, 25, 49, (....)

A. 54   B. 56   C. 81   D. 64
Answer  C

12. Which of the following is the largest fraction?

A. 7/8  B. 3/4  C. 4/5   D. 7/9
Answer A

13. All of the following are ways to write 20 percent of N, except

A. 0.20 N     B. 20 N  C. 1/5 N    D. 20/100 N

Answer B


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๐Ÿ“Œ Chemistry Grade 9 - Unit 1: Chemistry and Its Importance


1. What is the scope of chemistry?

A) Only studying chemical reactions
B) Studying matter and its changes
C) Ignoring the environment
D) Focusing on physics

2. How is chemistry related to other natural sciences?

A) It has no connection to other sciences
B) It overlaps with biology
C) It is independent of other sciences
D) It interacts with physics and biology
3. What role does chemistry play in production and society?

A) None
B) Minimal impact
C) Significant impact
D) Negative impact only
4. Which of the following is a common chemical industry in Ethiopia?

A) Textile manufacturing
B) Agriculture
C) Mining
D) Leather processing
5. The modern periodic table is based on the work of:

A) Lavoisier
B) Rutherford
C) Mendeleev
D) Dalton
6. Which type of bonding involves the transfer of electrons?

A) Covalent bonding
B) Ionic bonding
C) Metallic bonding
D) Hydrogen bonding
7. What is the composition of an atom with the same number of protons but different neutrons?

A) Ion
B) Isotope
C) Molecule
D) Compound
8. Who proposed the fundamental laws of chemical reactions?

A) Avogadro
B) Boyle
C) Lavoisier
D) Mendeleev
9. Which subatomic particle has a positive charge?

A) Proton
B) Neutron
C) Electron
D) Nucleus
10. What is the main focus of chemistry?

A) Studying plants
B) Studying animals
C) Studying matter and its changes
D) Studying weather patterns
11. Which element is essential for all organic compounds?

A) Nitrogen
B) Carbon
C) Oxygen
D) Hydrogen
12. What is the relationship between chemistry and biology?

A) They are completely unrelated
B) Chemistry is a subset of biology
C) Biology is a subset of chemistry
D) They overlap in the study of living organisms
13. Which scientist is known for his contributions to the atomic theory?

A) Aristotle
B) Democritus
C) Newton
D) Galileo
14. What is the significance of Mendeleev's periodic table?

A) It classified elements based on atomic number
B) It arranged elements by increasing atomic mass
C) It predicted the properties of undiscovered elements
D) It focused only on metals
15. How does chemistry impact society?

A) It has no relevance in daily life
B) It influences medicine and technology
C) It is limited to laboratories
D) It only affects the environment negatively
16. Which type of bonding involves the sharing of electrons?

A) Ionic bonding
B) Covalent bonding
C) Metallic bonding
D) Van der Waals bonding
17. What is the smallest unit of an element that retains its chemical properties?

A) Atom
B) Molecule
C) Compound
D) Ion
18. What is the most abundant element in the universe?

A) Hydrogen
B) Oxygen
C) Carbon
D) Nitrogen
19. Who discovered the electron?

A) Rutherford
B) Thomson
C) Dalton
D) Mendeleev

20. Which type of bonding is found in metals?

A) Ionic bonding
B) Covalent bonding
C) Metallic bonding
D) Polar covalent bonding

๐Ÿ“„ Comment your Answers

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QUBEE ACADEMY pinned ยซ๐Ÿš€ Get Started with TikuretEntrance in 3 Easy Steps! ๐Ÿš€ New to TikuretEntrance? Don't worry, it's super simple! Follow these steps and dive into your exam prep: 1. Sign Up in Seconds! โšก๏ธ    โ€ข Click "Start Now" at the top of the page.    โ€ข Create your accountโ€ฆยป
๐Ÿ†Maths questions

1. What is the value of sin(0)?
a) 0
b) 1
c) -1
d) undefined

Answer: a) 0

2. Which of the following is an identity?
a) sin(a+b) = sin(a) + sin(b)
b) cos(a+b) = cos(a) + cos(b)
c) tan(a+b) = tan(a) + tan(b)
d) sin(2a) = 2sin(a)

Answer: d) sin(2a) = 2sin(a)

3. What is the period of the function f(x) = 2sin(x)?
a) ฯ€
b) 2ฯ€
c) 4ฯ€
d) 1

Answer: b) 2ฯ€
.
4. If sin(x) = 3/5, what is the value of cos(x)?
a) 4/5
b) 3/4
c) 4/3
d) 5/3

Answer: a) 4/5

5. What is the amplitude of the function f(x) = 3cos(2x)?
a) 1
b) 2
c) 3
d) 6

Answer: c) 3

6. Which of the following is a Pythagorean identity?
a) sin^2(a) + cos^2(a) = 1
b) tan^2(a) + 1 = sec^2(a)
c) cot^2(a) + 1 = csc^2(a)
d) all of the above

Answer: d) all of the above
.
7. What is the value of tan(ฯ€/4)?
a) 0
b) 1
c) -1
d) undefined

Answer: b) 1

8. If f(x) = sin(x) and g(x) = cos(x), what is the value of f(ฯ€/2) + g(ฯ€/2)?
a) 0
b) -1.
c) 2
d) 1

Answer: b) -1

9. What is the phase shift of the function f(x) = sin(x + ฯ€/2)?
a) ฯ€/2
b) -ฯ€/2
c) ฯ€
d) -ฯ€

Answer: b) -ฯ€/2

10. Which of the following is a sum identity?
a) sin(a+b) = sin(a)cos(b) + cos(a)sin(b)
b) cos(a+b) = cos(a)cos(b) - sin(a)sin(b)
c) tan(a+b) = (tan(a) + tan(b))/(1 - tan(a)tan(b))
d) all of the above

Answer: d) all of the above


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Math's Grade 11 Unit 8 Join @qubeeacademy.pdf
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#Math's Grade 11 Unit 8
#Short note
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6. Chemistry Grade 12 Unit 1&2

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https://www.youtube.com/watch?v=J5NunJUJZh8 ๐Ÿ“š Bakka Kamittuu, Yeroo Kamittuu Dynamo waliin Baradhaa!๐Ÿš€

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๐Ÿ“Œ Chemistry Questions on States of Matter with Answers

1. Which state of matter has a definite volume and shape?
(a) Solid
(b) Liquid
(c) Gas
(d) Plasma
Answer: (a) Solid

2. Which state of matter has particles that are closely packed and arranged in a regular pattern?
(a) Solid
(b) Liquid
(c) Gas
(d) Plasma
Answer: (a) Solid

3. Which state of matter has particles that are closely packed but not arranged in a regular pattern?
(a) Solid
(b) Liquid
(c) Gas
(d) Plasma
Answer: (b) Liquid

4. Which state of matter has particles that are widely spaced and move freely?
(a) Solid
(b) Liquid
(c) Gas
(d) Plasma
Answer: (c) Gas

5. Which state of matter has particles that are ionized and move freely?
(a) Solid
(b) Liquid
(c) Gas
(d) Plasma
Answer: (d) Plasma

6. The process of a gas changing directly into a solid is called:
   A. Sublimation
   B. Condensation
   C. Deposition
   D. Evaporation
Answer: C. Deposition

7. Which state of matter has the highest density?
(a) Solid
(b) Liquid
(c) Gasi
(d) Plasma
Answer: (a) Solid

8. The process of a liquid changing into a gas is called:
   A. Freezing
   B. Melting
   C. Boiling
   D. Sublimation
Answer: C. Boiling

9. Which of the following is an example of a gas turning into a liquid?
   A. Melting
   B. Freezing
   C. Condensation
   D. Sublimation
Answer: C. Condensation

10. Which state of matter is the most compressible?
(a) Solid
(b) Liquid
(c) Gas
(d) Plasma
Answer: (c) Gas

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2025/03/26 18:46:08
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