Civil Service Reviewer 2027 · Numerical Ability Hub

Numerical Ability Reviewer (Printable PDF)

Official Practice Test & Detailed Solution Key · Author: Joseph Yap, Civil Service Review Specialist

Question 1 (Numerical Ability · Fractions & Order of Operations)
Evaluate the exact value of the following expression: (3/4 + 2/5) ÷ (1/2 - 1/8)
  1. 46/15
  2. 23/15
  3. 46/25
  4. 38/15
Question 2 (Numerical Ability · Trade Discount & Net Cost)
A regional bureau procured 20 units of computer printers with a listed retail price of ₱15,000 each. If the supplier granted an institutional trade discount of 12%, what was the net purchase amount paid by the agency?
  1. ₱240,000
  2. ₱264,000
  3. ₱276,000
  4. ₱282,000
Question 3 (Numerical Ability · Successive Percentage Changes)
A public works project budget was initially increased by 20% in January, but due to austerity measures, the revised budget was subsequently reduced by 15% in July. Compared to the original budget, what is the net percentage change?
  1. +5.0%
  2. +2.0%
  3. -2.0%
  4. +1.5%
Question 4 (Numerical Ability · Decimal Arithmetic & Currency)
An employee's monthly basic salary is ₱32,450. Deductions include: 9% GSIS contribution, 2.5% PhilHealth, ₱200 Pag-IBIG, and ₱1,850 withholding tax. What is the employee's net monthly take-home pay?
  1. ₱26,668.25
  2. ₱26,450.00
  3. ₱27,125.50
  4. ₱25,980.75
Question 5 (Numerical Ability · Simple Interest Formula)
The municipal provident fund invested ₱500,000 in a government treasury bond earning 6.5% simple annual interest. How much total interest will the fund earn over 4 years?
  1. ₱130,000
  2. ₱125,000
  3. ₱135,000
  4. ₱140,000
Question 6 (Numerical Ability · Ratio and Proportion (Partitive))
A calamity relief fund of ₱1,800,000 is divided among three calamity-stricken barangays in the ratio 2 : 3 : 5. How much fund does the barangay with the largest share receive?
  1. ₱360,000
  2. ₱540,000
  3. ₱900,000
  4. ₱1,000,000
Question 7 (Numerical Ability · Inverse Proportion)
If 12 building inspectors can complete the structural safety audit of all school buildings in a district in 15 days, how many days would it take 20 inspectors working at the same pace?
  1. 8 days
  2. 9 days
  3. 10 days
  4. 11 days
Question 8 (Numerical Ability · Averages & Missing Term)
An examinee scores 82, 85, 78, and 88 on the first four diagnostic review modules. What minimum score must the examinee achieve on the fifth module to attain an overall average of 85?
  1. 90
  2. 92
  3. 94
  4. 96
Question 9 (Numerical Ability · Number Series (Two-Step Operation))
Determine the missing number in the sequence: 3, 7, 16, 35, 74, [ ? ]
  1. 143
  2. 148
  3. 153
  4. 159
Question 10 (Numerical Ability · Number Series (Alternating Difference))
What is the next number in the series? 4, 9, 19, 39, 79, [ ? ]
  1. 149
  2. 159
  3. 169
  4. 179
Question 11 (Numerical Ability · Number Series (Alternating Operations))
Find the next number in the sequence: 2, 6, 12, 20, 30, 42, [ ? ]
  1. 52
  2. 54
  3. 56
  4. 58
Question 12 (Numerical Ability · Interleaved Two-in-One Series)
Determine the missing term in the sequence: 12, 25, 15, 22, 18, 19, 21, [ ? ]
  1. 15
  2. 16
  3. 17
  4. 18
Question 13 (Numerical Ability · Cubic Series)
Identify the next number in the sequence: 1, 8, 27, 64, 125, [ ? ]
  1. 196
  2. 216
  3. 225
  4. 256
Question 14 (Numerical Ability · Fibonacci-Type Sequence)
What number comes next in the sequence: 2, 3, 5, 8, 13, 21, 34, [ ? ]
  1. 48
  2. 52
  3. 55
  4. 58
Question 15 (Numerical Ability · Work / Rate Problem)
Engineer Santos can complete a road inspection report in 6 hours alone. Engineer Cruz can finish the same report in 4 hours alone. How many hours will it take them to complete the report working together?
  1. 2.4 hours
  2. 2.5 hours
  3. 3.0 hours
  4. 5.0 hours

Answer Key & Rationalizations

Item 1: A — 46/15
Explanation: Numerator: 3/4 + 2/5 = 15/20 + 8/20 = 23/20. Denominator: 1/2 - 1/8 = 4/8 - 1/8 = 3/8. Division: (23/20) ÷ (3/8) = (23/20) × (8/3) = (23 × 2) / (5 × 3) = 46/15.
Item 2: B — ₱264,000
Explanation: Total list price = 20 × ₱15,000 = ₱300,000. Discount = 12% of ₱300,000 = ₱36,000. Net purchase amount = ₱300,000 - ₱36,000 = ₱264,000 (Shortcut: ₱300,000 × 0.88 = ₱264,000).
Item 3: B — +2.0%
Explanation: Let original budget = 100. After 20% increase: 100 × 1.20 = 120. After 15% reduction: 120 × (1 - 0.15) = 120 × 0.85 = 102. Net change: 102 - 100 = +2.0% increase.
Item 4: A — ₱26,668.25
Explanation: Deductions: GSIS (9%): 32,450 × 0.09 = ₱2,920.50 PhilHealth (2.5%): 32,450 × 0.025 = ₱811.25 Pag-IBIG: ₱200.00 Tax: ₱1,850.00 Total deductions = 2,920.50 + 811.25 + 200 + 1,850 = ₱5,781.75. Net pay = 32,450 - 5,781.75 = ₱26,668.25.
Item 5: A — ₱130,000
Explanation: Simple Interest formula: I = P × r × t. I = ₱500,000 × 0.065 × 4 = ₱500,000 × 0.26 = ₱130,000.
Item 6: C — ₱900,000
Explanation: Sum of parts = 2 + 3 + 5 = 10 parts. Value of 1 part = ₱1,800,000 / 10 = ₱180,000. Largest share (5 parts) = 5 × ₱180,000 = ₱900,000.
Item 7: B — 9 days
Explanation: Inverse Proportion: (Inspectors₁) × (Days₁) = (Inspectors₂) × (Days₂). 12 × 15 = 20 × D₂ 180 = 20 × D₂ --> D₂ = 180 / 20 = 9 days.
Item 8: B — 92
Explanation: Required total sum for 5 exams at average 85 = 5 × 85 = 425. Current sum = 82 + 85 + 78 + 88 = 333. Required 5th score = 425 - 333 = 92.
Item 9: C — 153
Explanation: Pattern is (Previous × 2) + n, with n increasing by 1: (3 × 2) + 1 = 7 (7 × 2) + 2 = 16 (16 × 2) + 3 = 35 (35 × 2) + 4 = 74 (74 × 2) + 5 = 148 + 5 = 153.
Item 10: B — 159
Explanation: Difference pattern: 9 - 4 = 5 19 - 9 = 10 (5 × 2) 39 - 19 = 20 (10 × 2) 79 - 39 = 40 (20 × 2) Next difference = 40 × 2 = 80. Next term = 79 + 80 = 159 (Or: term × 2 + 1: 4×2+1=9, 9×2+1=19, etc. 79×2+1=159).
Item 11: C — 56
Explanation: Differences: +4, +6, +8, +10, +12, +14. 42 + 14 = 56. (Alternatively, n(n+1): 1×2=2, 2×3=6, 3×4=12, 4×5=20, 5×6=30, 6×7=42, 7×8=56).
Item 12: B — 16
Explanation: Interleaved series: Odd positions: 12, 15, 18, 21 (+3 each step) Even positions: 25, 22, 19, [ ? ] (-3 each step) Next term is in even position: 19 - 3 = 16.
Item 13: B — 216
Explanation: Cube series: 1³=1, 2³=8, 3³=27, 4³=64, 5³=125, 6³=216.
Item 14: C — 55
Explanation: Fibonacci pattern: Each term is the sum of the two preceding terms. 13 + 21 = 34; 21 + 34 = 55.
Item 15: A — 2.4 hours
Explanation: Work rates: Santos rate = 1/6 per hour; Cruz rate = 1/4 per hour. Combined rate = 1/6 + 1/4 = 2/12 + 3/12 = 5/12 per hour. Time together = 1 / (5/12) = 12/5 = 2.4 hours (or 2 hours and 24 minutes).
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