Question 1
If letters are coded as (position mod 7), 'HELLO' becomes?
Modular coding: H=8%7=1, E=5%7=5, L=12%7=5, L=12%7=5, O=15%7=1 → concatenated = 15551
Modular Arithmetic - Intermediate Level: tricky scenarios handling Modular Arithmetic INTERMEDIATE
This expert challenge 📈 worksheet focuses on Modular Arithmetic - a key topic in Number Letter Codes. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve modular arithmetic, modular arithmetic tricks, and modular arithmetic shortcut methods through systematic practice.
What you'll learn in this worksheet:
- Master how to solve modular arithmetic through focused practice
- Understand the logic behind modular arithmetic tricks
- Learn step-by-step approaches to tricky scenarios handling
- Improve your solving speed while maintaining accuracy
- Learn to eliminate wrong options efficiently
Your progress through Modular Arithmetic
Worksheet 5 of 10 (44% complete)
Question 2
If letters are coded as (position mod 8), 'ALPHABET' becomes?
Modular coding: A=1%8=1, L=12%8=4, P=16%8=0, H=8%8=0, A=1%8=1, B=2%8=2, E=5%8=5, T=20%8=4 → concatenated = 14001254
Question 3
If letters are coded as (position mod 9), 'NUMBER' becomes?
Modular coding: N=14%9=5, U=21%9=3, M=13%9=4, B=2%9=2, E=5%9=5, R=18%9=0 → concatenated = 534250
Question 4
If letters are coded as (position mod 9), 'CODING' becomes?
Modular coding: C=3%9=3, O=15%9=6, D=4%9=4, I=9%9=0, N=14%9=5, G=7%9=7 → concatenated = 364057
Question 5
If letters are coded as (position mod 5), 'CODING' becomes?
Modular coding: C=3%5=3, O=15%5=0, D=4%5=4, I=9%5=4, N=14%5=4, G=7%5=2 → concatenated = 304442
Question 6
If letters are coded as (position mod 7), 'LETTER' becomes?
Modular coding: L=12%7=5, E=5%7=5, T=20%7=6, T=20%7=6, E=5%7=5, R=18%7=4 → concatenated = 556654
Question 7
If letters are coded as (position mod 5), 'ALPHABET' becomes?
Modular coding: A=1%5=1, L=12%5=2, P=16%5=1, H=8%5=3, A=1%5=1, B=2%5=2, E=5%5=0, T=20%5=0 → concatenated = 12131200
Question 8
If letters are coded as (position mod 7), 'HELLO' becomes?
Modular coding: H=8%7=1, E=5%7=5, L=12%7=5, L=12%7=5, O=15%7=1 → concatenated = 15551
Question 9
If letters are coded as (position mod 10), 'CODING' becomes?
Modular coding: C=3%10=3, O=15%10=5, D=4%10=4, I=9%10=9, N=14%10=4, G=7%10=7 → concatenated = 354947
Question 10
If letters are coded as (position mod 10), 'CODING' becomes?
Modular coding: C=3%10=3, O=15%10=5, D=4%10=4, I=9%10=9, N=14%10=4, G=7%10=7 → concatenated = 354947
Question 11
If letters are coded as (position mod 10), 'NUMBER' becomes?
Modular coding: N=14%10=4, U=21%10=1, M=13%10=3, B=2%10=2, E=5%10=5, R=18%10=8 → concatenated = 413258
Question 12
If letters are coded as (position mod 5), 'LETTER' becomes?
Modular coding: L=12%5=2, E=5%5=0, T=20%5=0, T=20%5=0, E=5%5=0, R=18%5=3 → concatenated = 200003
Question 13
If letters are coded as (position mod 8), 'ALPHABET' becomes?
Modular coding: A=1%8=1, L=12%8=4, P=16%8=0, H=8%8=0, A=1%8=1, B=2%8=2, E=5%8=5, T=20%8=4 → concatenated = 14001254
Question 14
If letters are coded as (position mod 7), 'WORLD' becomes?
Modular coding: W=23%7=2, O=15%7=1, R=18%7=4, L=12%7=5, D=4%7=4 → concatenated = 21454
Question 15
If letters are coded as (position mod 7), 'NUMBER' becomes?
Modular coding: N=14%7=0, U=21%7=0, M=13%7=6, B=2%7=2, E=5%7=5, R=18%7=4 → concatenated = 006254
Question 16
If letters are coded as (position mod 7), 'NUMBER' becomes?
Modular coding: N=14%7=0, U=21%7=0, M=13%7=6, B=2%7=2, E=5%7=5, R=18%7=4 → concatenated = 006254
Question 17
If letters are coded as (position mod 8), 'HELLO' becomes?
Modular coding: H=8%8=0, E=5%8=5, L=12%8=4, L=12%8=4, O=15%8=7 → concatenated = 05447
Question 18
If letters are coded as (position mod 10), 'WORLD' becomes?
Modular coding: W=23%10=3, O=15%10=5, R=18%10=8, L=12%10=2, D=4%10=4 → concatenated = 35824
Question 19
If letters are coded as (position mod 5), 'WORLD' becomes?
Modular coding: W=23%5=3, O=15%5=0, R=18%5=3, L=12%5=2, D=4%5=4 → concatenated = 30324
Question 20
If letters are coded as (position mod 9), 'CODING' becomes?
Modular coding: C=3%9=3, O=15%9=6, D=4%9=4, I=9%9=0, N=14%9=5, G=7%9=7 → concatenated = 364057
📝 Continue your Modular Arithmetic practice. Worksheet 5 focuses on tricky scenarios handling.