[ DOST 24 ] DOST SCHOLARSHIP EXAM REVIEWER XXIV

DOST SCHOLARSHIP EXAM REVIEWER

Instructions:

Please answer each question to the best of your ability. Each question is multiple choice, and only one answer per question is correct. Select the most appropriate answer from the options provided.

When you have completed all questions, click the "Submit" button at the bottom of the page to see your score. Good luck!

1. What is the derivative of f(x) = ln(x^2 + 1)?

A) (2x) / (x^2 + 2)
B) (2x) / (x^2 + 1)
C) (x^2 + 1) / 2x
D) (2x) / (x^2)

2. Which law of thermodynamics states that energy cannot be created nor destroyed?

A) Second Law
B) First Law
C) Third Law
D) Zeroth Law

3. Solve: What is the value of (2^5 × 8^2) ÷ 2^3?

A) 512
B) 1024
C) 256
D) 128

4. In genetics, what term describes an organism with two identical alleles for a trait?

A) Heterozygous
B) Homozygous
C) Hybrid
D) Recessive

5. What is the result of the vector cross product of two parallel vectors?

A) A unit vector
B) A vector orthogonal to both
C) Same as dot product
D) Zero vector

6. Which planet has the strongest gravitational field in the solar system?

A) Earth
B) Neptune
C) Jupiter
D) Saturn

7. What is the limit of (sin x) / x as x approaches 0?

A) 1
B) 0
C) ∞
D) Undefined

8. What is the pH of a neutral solution at 25°C?

A) 6.5
B) 8
C) 7
D) 5

9. Solve for x: 3^(2x) = 81.

A) 2
B) 2
C) 3
D) 4

10. What phenomenon causes the apparent bending of a straw when placed in water?

A) Reflection
B) Refraction
C) Diffraction
D) Dispersion

11. Which of the following is an irrational number?

A) 0.5
B) √2
C) 4
D) 3/7

12. In projectile motion, the horizontal component of velocity is:

A) Constant
B) Increasing
C) Decreasing
D) Zero

13. Solve: What is the determinant of the matrix [[2, 3], [1, 4]]?

A) 11
B) 10
C) 5
D) -5

14. Which type of bond involves the sharing of electron pairs between atoms?

A) Ionic bond
B) Covalent bond
C) Metallic bond
D) Hydrogen bond

15. Find the integral: ∫2x dx

A) x^2 + C
B) x^2 + C
C) 2x + C
D) (2x)^2 + C

16. The maximum number of electrons in a p orbital is:

A) 4
B) 3
C) 6
D) 2

17. Solve for x: log(x) + log(2) = 3

A) 50
B) 500
C) 100
D) 200

18. What is the term for an atom that has gained or lost electrons?

A) Ion
B) Molecule
C) Isotope
D) Proton

19. The sum of the interior angles of a pentagon is:

A) 360°
B) 540°
C) 540°
D) 720°

20. What branch of physics deals with heat and temperature and their relation to energy and work?

A) Thermodynamics
B) Electromagnetism
C) Quantum Mechanics
D) Optics

21. What is the value of (7i)^2?

A) 49
B) -49
C) -1
D) 1

22. Which particle has no electric charge?

A) Proton
B) Neutron
C) Electron
D) Positron

23. Find the roots of the quadratic equation x² - 5x + 6 = 0.

A) 1 and 6
B) 2 and 4
C) 2 and 3
D) 1 and 5

24. In physics, inertia is most closely related to which property?

A) Mass
B) Velocity
C) Force
D) Energy

25. Solve: What is the integral of 1/x dx?

A) x
B) x^2/2
C) ln|x| + C
D) 1/x + C

26. Which of the following has the greatest atomic radius?

A) Oxygen
B) Sodium
C) Fluorine
D) Chlorine

27. What is the sum of an infinite geometric series with first term 6 and ratio 1/2?

A) 10
B) 8
C) 12
D) 14

28. What gas law states that pressure is inversely proportional to volume?

A) Charles' Law
B) Gay-Lussac's Law
C) Boyle's Law
D) Avogadro's Law

29. What is the electric charge of a proton?

A) Positive
B) Negative
C) Neutral
D) Zero

30. What is the standard unit of luminous intensity?

A) Watt
B) Lux
C) Candela
D) Joule

Result

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