Number System – Hidden Tricks + Fast Methods
Master number system concepts with shortcut tricks and solve faster in exams.
🔥 Shortcut Tricks
- Use divisibility rules (2,3,5,9,11)
- Memorize squares & cubes
- Use digital sum (casting out 9)
- Focus on remainders
Solve in 5 Seconds
Q1: Find remainder when 17 ÷ 5
Answer: 2
Q2: Is 12345 divisible by 3?
Shortcut: 1+2+3+4+5 = 15 ✔
Answer: Yes
Exam Level Questions
Q3: Find remainder when 7²³ ÷ 5
Shortcut:
7 ≡ 2 (mod 5)
2²³ → cycle → remainder = 3
Q4: Find unit digit of 13²⁵
Shortcut:
3⁴ = 81 → cycle repeats
25 mod 4 = 1
Answer = 3
Q5: Find number of factors of 36
Solution:
36 = 2² × 3²
Factors = (2+1)(2+1) = 9
Q6: Find HCF of 24 and 36
Answer: 12
❌ Most Students Mistake
- Ignoring cyclic patterns
- Doing long division
- Forgetting divisibility rules
Speed Booster Tip
Always reduce numbers using modulo instead of solving fully.
Shaktimatha Learning
Quant • Number System • Bank Exam Preparation
Quant • Number System • Bank Exam Preparation
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