Miscellaneous
Miscellaneous arithmetic covers important real-world and logic-based topics frequently asked in TU CMAT and KUUMAT exams. These problems test analytical thinking, pattern recognition, and application of multiple concepts.
Practice MCQs for Miscellaneous
Fundamental Principles
Mixture
Combination of two or more substances or quantities in a given ratio.
Alligation
A method to find the ratio in which two or more ingredients are mixed at different prices or concentrations.
Relative Speed
The effective speed when two objects move towards or away from each other.
Boat and Stream
Problems involving movement of a boat in upstream and downstream directions.
Age Problems
Problems based on the present, past, and future ages of individuals.
Calendar Problems
Problems involving days, dates, leap years, and time cycles.
Essential Formulation Tips
- Convert word problems into equations step-by-step.
- Draw diagrams for boat and stream problems.
- Assume variables for age problems.
- Use LCM for calendar and day-based questions.
- Check units carefully in speed problems.
Shortcut Execution Techniques
- If two people move towards each other, add speeds.
- If moving in same direction, subtract speeds.
- Upstream is always slower than downstream.
- In age problems, difference of ages remains constant.
- Mixture problems often use alligation method.
Contextual Inquiries (FAQs)
Q: Which topics are included in miscellaneous arithmetic?
A: Ages, clocks, calendars, mixtures, boats & streams, and relative speed problems.
Q: Are miscellaneous problems difficult in CMAT?
A: They are moderate but require strong conceptual understanding.
Q: What is the most important trick for mixture problems?
A: Use weighted average or alligation method.
Example Breakdown: Age Problem
Typical CMAT age problem.Let son = x, father = 50 − x
After 10 years: (50 − x + 10) = 2(x + 10)
60 − x = 2x + 20
40 = 3x
x = 13.33 (approx), father = 36.67
Example Breakdown: Boat and Stream
Basic motion problem.Downstream speed = 30/3 = 10 km/h
Boat speed = 10 − 2 = 8 km/h
Example Breakdown: Mixture Problem
Simple mixture question.Total parts = 5
Milk = (3/5) × 25 = 15 L
Example Breakdown: Relative Speed
Motion concept.Relative speed = 40 + 60 = 100 km/h
Example Breakdown: Calendar Logic
Calendar reasoning.15 ÷ 7 = 2 remainder 1
Monday + 1 day = Tuesday
CMAT Misc Basics Set 1
Mixed fundamental aptitude questions from different topics.
Q1. Simplify: 25 + 15 × 2
Q2. If x = 5, find x² - x.
Q3. Find the next number: 2, 4, 8, 16, ?
Q4. Simplify: 100 ÷ 5 + 3
Q5. If a = 2, b = 3, find a² + b².
Q6. Find missing number: 5, 10, 20, ?, 80
Q7. Simplify: 12 × 5 - 20
Q8. If x = 3, find 2x³.
Q9. Which is a prime number?
Q10. Simplify: (10 + 2)²