Numerical Ability Reviewer - Part 27

Practice 20 Numerical Ability questions for the Civil Service Exam (CSE), each with the correct answer and an explanation.

20 questions80% passing markFree

Part 27 of our Numerical Ability reviewer has 20 practice questions in the style of the Civil Service Exam. Answer them in order, read the explanation after each one, and check your score against the 80% passing mark at the end. Questions and choices are reshuffled every time you retake the part.

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Sample questions from Part 27

Here are a few questions from this part. Take the full test to answer all 20 and get your score.

Sample question 1

The ratio of boys to girls in a school club is 7 : 5. After 11 more boys joined and 13 more girls joined, the ratio of boys to girls became 5 : 4. How many girls were there originally?

  • 35
  • 108
  • 84
  • 96
Answer: 35
Let the original numbers be 7k boys and 5k girls. New ratio: (7k + 11) : (5k + 13) = 5 : 4. Cross-multiply: 4(7k + 11) = 5(5k + 13), so 3k = 21 and k = 7. Girls = 5 × 7 = 35. Check: 60 : 48 = 5 : 4. Answer: 35.

Sample question 2

Which fraction is equivalent to 5/7?

  • 45/64
  • 14/16
  • 45/63
  • 46/63
Answer: 45/63
Multiply the numerator and denominator by 9: 5/7 = (5 × 9)/(7 × 9) = 45/63.

Sample question 3

The price of a jeepney fare ticket bundle rose from ₱240 to ₱360. What is the percent increase?

  • 60%
  • 40%
  • 50%
  • 100%
Answer: 50%
Change = ₱120. Percent increase = change ÷ original price × 100 = 120 ÷ 240 × 100 = 50%.

Sample question 4

9/20 of the employees of a municipal office are women and the rest are men. 40% of the women and 70% of the men have at least 5 years of service. What percent of all the employees have at least 5 years of service?

  • 53.5%
  • 61.5%
  • 51.5%
  • 56.5%
Answer: 56.5%
Weight each percent by the group's share: 9/20 × 40% = 18%; 11/20 × 70% = 38.5%. Add: 56.5%. (The simple average of the percents, 55%, is wrong because the groups differ in size.)

Sample question 5

Express 0.32 as a fraction in simplest form.

  • 4/13
  • 3 1/8
  • 4/25
  • 8/25
Answer: 8/25
0.32 = 32/100. Divide numerator and denominator by their GCF: 8/25.

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