Philippine Civil Service Exam · Numerical and Analytical Ability

Basic Arithmetic, Fractions, Decimals and Percentage Operations

35 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 35 questions

  1. What is the simplified result of evaluating the fractional expression 3/4 + 2/5?
  2. What is the product of multiplying the decimals 0.35 and 0.4?
  3. If a civil servant's monthly basic salary increases from ₱25,000 to ₱28,750, what is the percentage increase?
  4. An office supply item originally priced at ₱1,200 is sold with a 25% discount. What is the final sale price?
  5. What is the evaluated value of the complex fraction (1/2 + 1/3) ÷ (3/4 - 1/6)?
  6. Using the standard order of operations (PEMDAS), what is the value of 18 - 3 * (4 + 2) + 12 ÷ 4?
  7. What is 40% of 75% of ₱8,000 in an allocated administrative budget?
  8. What is the exact quotient when 4.8 is divided by 0.06?
  9. Which of the following fractions has the greatest numerical value: 5/8, 7/12, 3/5, or 11/16?
  10. What is the result of evaluating the mixed numbers expression 5 1/3 - 2 3/4?
  11. A procurement purchase of ₱5,000 is subjected to successive discounts of 20% and 10%. What is the final price paid?
  12. An office equipment unit costs ₱4,500 exclusive of 12% Value-Added Tax (VAT). What is the total invoice price inclusive of VAT?
  13. If 35% of a certain number is equal to 140, what is the value of the number?
  14. What is the numerical value of the expression (2/3)^(-2)?
  15. What is the arithmetic mean of the five decimal scores: 4.5, 6.2, 7.8, 5.5, and 8.0?
  16. What is the simplified quotient of 0.000072 ÷ 0.009 expressed in standard notation?
  17. If an agency's budget utilization rate increases from 5% to 8%, what is the percentage increase in the rate?
  18. What is the simplified product of the fractions (48/72) * (15/20)?
  19. What is the exact sum of the repeating decimal 0.666... and the terminating decimal 0.375?
  20. A government agency allocated ₱1,200,000 for a program. If 45% was spent in Q1 and 30% of the remaining fund was spent in Q2, how much fund remains?
  21. A land surveyor converts 3.75 kilometers into centimeters. What is the correct measurement?
  22. For the positive integers 36 and 54, what is the sum of their Greatest Common Factor (GCF) and Least Common Multiple (LCM)?
  23. In a municipal division of 30 employees, 18 are female and 12 are male. What percentage of the division are female employees?
  24. A vendor marks up the wholesale cost of an item by 25% and subsequently offers customers a 20% discount on the marked price. What is the net financial outcome?
  25. A government employee allocates 1/4 of his monthly salary to food, 1/3 to rent, 1/6 to transportation, and saves the remaining ₱6,000. What is his total monthly salary?
  26. What is the quotient of 17.649 ÷ 3.1 rounded to the nearest hundredth?
  27. What is the evaluated sum of the radicals sqrt(49/144) + sqrt(25/36)?
  28. What is the decimal equivalent of the sum of negative powers 2^(-1) + 4^(-1) + 8^(-1)?
  29. If the price of rice increases by 20%, by what percentage must the new price be reduced for it to return to its original price?
  30. What is the evaluated result of the arithmetic expression (0.6 0.25 + 0.15) ÷ (0.05 4)?
  31. A roll of official security ribbon measuring 15.6 meters is cut into uniform ID badges of 0.65 meters each. How many complete badges can be produced?
  32. An applicant's performance rating consists of three criteria: Written Exam (85, weighted 30%), Interview (90, weighted 40%), and Credentials (75, weighted 30%). What is the composite rating?
  33. If Department A's budget is 25% greater than Department B's budget, by what percentage is Department B's budget less than Department A's budget?
  34. What is the simplified fractional value of the continued fraction 1 / [1 + 1 / (1 + 1/2)]?
  35. If 15% of a quantity x is equal to 24% of 500, what is the value of x?

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