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CCAT Number System & Simplification Questions
Practise number system & simplification (quantitative aptitude) for the Criteria Cognitive Aptitude Test (CCAT): 10 multiple-choice questions, each with the correct answer and a worked explanation. Click an option to check it, or “New questions” for another set.
Number System & Simplification practice
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Q1.Find the next number in the series: 16, 18, 22, 28, 36, ?
Show answer & explanation
Answer: D — 46
Differences are 2, 4, 6, 8 → next difference 10.
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Q2.Find the next number in the series: 16, 25, 36, 49, 64, ?
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Answer: A — 81
Squares of consecutive numbers: 4², 5², … → 9² = 81.
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Q3.Find the HCF of 48 and 24.
Show answer & explanation
Answer: B — 24
HCF(48, 24) = 24. Check: HCF × LCM = 24 × 48 = 1152 = product of the numbers.
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Q4.Simplify: 93 + 4 × 6 − 36
Show answer & explanation
Answer: B — 81
BODMAS: multiply first — 4 × 6 = 24; then 93 + 24 − 36 = 81.
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Q5.Find the next number in the series: 5, 10, 20, 40, 80, ?
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Answer: C — 160
Each term is multiplied by 2.
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Q6.Find the HCF of 16 and 6.
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Answer: D — 2
HCF(16, 6) = 2. Check: HCF × LCM = 2 × 48 = 96 = product of the numbers.
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Q7.Find the next number in the series: 4, 12, 36, 108, 324, ?
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Answer: D — 972
Each term is multiplied by 3.
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Q8.Simplify: 17 + 12 × 6 − 19
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Answer: A — 70
BODMAS: multiply first — 12 × 6 = 72; then 17 + 72 − 19 = 70.
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Q9.What is √6,084?
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Answer: C — 78
78 × 78 = 6084, so √6084 = 78.
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Q10.Simplify: 75 + 6 × 7 − 33
Show answer & explanation
Answer: C — 84
BODMAS: multiply first — 6 × 7 = 42; then 75 + 42 − 33 = 84.
How to approach number system & simplification questions
Learn squares to 30 and cubes to 15, apply BODMAS strictly, and use HCF × LCM = product of two numbers. For series, check the differences first, then the ratios.
About CCAT
Criteria Cognitive Aptitude Test (CCAT) — conducted by Criteria Corp (pre-employment test publisher). A 15-minute, 50-question pre-employment aptitude test used by thousands of employers to measure problem-solving, verbal, math and logic, and spatial reasoning. The average raw score is about 24 out of 50.
Original practice questions written for this site in the style and difficulty of each exam’s syllabus. They are not past papers and the site is not affiliated with any exam body. Exam patterns, marking schemes and syllabi change — always check the latest official notification.
CCAT practice topics
| Topic | Section | Question source |
|---|---|---|
| Verbal Reasoning & Analogies | Reasoning | Calculated + question bank |
| Vocabulary & Idioms | English | Question bank |
| Logical Reasoning | Reasoning | Calculated (new numbers every set) |
| Spatial Reasoning | Reasoning | Calculated (new numbers every set) |
| Number System & Simplification | Quantitative aptitude | Calculated (new numbers every set) |
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |
| Ratio, Ages & Mixtures | Quantitative aptitude | Calculated (new numbers every set) |
| Speed, Distance, Trains & Boats | Quantitative aptitude | Calculated (new numbers every set) |
| Averages & Statistics | Quantitative aptitude | Calculated (new numbers every set) |
| Data Interpretation | Data interpretation | Calculated (new numbers every set) |