Numerical Ability Reviewer - Part 22

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

20 questions80% passing markFree

Part 22 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 22

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

Sample question 1

The mean of 17 test scores is 65. The mean of the lowest 6 scores is 74, and the mean of the highest 10 scores is 60. What is the remaining (middle) score?

  • 67
  • 63
  • 65
  • 61
Answer: 61
Total = 65 × 17 = 1105. Lowest group total = 6 × 74 = 444; highest group total = 10 × 60 = 600. Middle score = 1105 − 444 − 600 = 61.

Sample question 2

The table shows the ages of 36 applicants for a barangay livelihood program. Estimate the mean age using the midpoints of the class intervals.

Age groupFrequency
30 – 345
35 – 393
40 – 447
45 – 4910
50 – 5411

  • 42.64
  • 44.64
  • 47.14
  • 42
Answer: 44.64
Midpoints: 32, 37, 42, 47, 52. Σ(midpoint × frequency) = 1607. Estimated mean = 1607 ÷ 36 = 44.64. (Using lower limits would give 42.64.)

Sample question 3

The mean age of 12 members of a barangay youth council is 45 years. When a new member joins, the mean age rises by 3 years. How old is the new member?

  • 48
  • 87
  • 81
  • 84
Answer: 84
New mean = 48. New total = 48 × 13 = 624. Old total = 45 × 12 = 540. New member's age = 624 − 540 = 84.

Sample question 4

The mean monthly salary of 40 employees in a municipal office is ₱24,000. The 20 lowest-paid employees, whose mean salary is ₱11,000, each receive a 10% raise. What is the new mean monthly salary of all 40 employees?

  • ₱24,450
  • ₱26,400
  • ₱25,100
  • ₱24,550
Answer: ₱24,550
Total payroll = ₱24,000 × 40 = ₱960,000. The raise adds 10% × ₱11,000 × 20 = ₱22,000. New total = ₱982,000. New mean = ₱982,000 ÷ 40 = ₱24,550.

Sample question 5

The number of students present in a DepEd class over 5 school days were: 44, 43, 40, 45, 38. What is the median?

  • 44
  • 43
  • 40
  • 46
Answer: 43
Arrange in order: 38, 40, 43, 44, 45. The middle (3rd) value is 43.

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