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Shortcut Techniques: Number System Video Lecture | General Aptitude for GATE - Mechanical Engineering
FAQs on Shortcut Techniques: Number System Video Lecture - General Aptitude for GATE - Mechanical Engineering
| 1. What are the basic concepts of the number system that I need to know for competitive exams? |  |
Ans. The basic concepts of the number system include understanding types of numbers (natural numbers, whole numbers, integers, rational numbers, and irrational numbers), place value, number representation in different bases (binary, decimal, hexadecimal), and operations on these numbers. Familiarity with prime numbers, factors, and multiples is also essential.
| 2. How can I quickly identify prime numbers within a given range? | |
Ans. To quickly identify prime numbers, you can use the Sieve of Eratosthenes method, which involves marking the multiples of each prime number starting from 2. Alternatively, you can check divisibility by prime numbers up to the square root of the maximum number in your range.
| 3. What are some shortcut techniques to perform arithmetic operations on large numbers? | |
Ans. Some shortcut techniques include using the distributive property to break down large numbers into smaller parts, using estimation to simplify addition and subtraction, applying the rules of divisibility for fast calculations, and employing Vedic math techniques for multiplication and division.
| 4. How can I convert numbers from one base to another efficiently? | |
Ans. To convert numbers from one base to another, first convert the original number to decimal by multiplying each digit by its corresponding power of the base. Then, convert the decimal number to the target base by repeatedly dividing by the base and recording the remainders. This method ensures accuracy and efficiency.
| 5. What role do number properties play in solving problems related to the number system? | |
Ans. Number properties such as commutative, associative, and distributive laws simplify calculations and problem-solving. Understanding properties like even and odd numbers, divisibility rules, and the relationship between factors and multiples can help in identifying patterns and making quick calculations in competitive exams.
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