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Master Modular Arithmetic - Beginner Level Problems Modular Arithmetic BEGINNER

Excel in competitive exams with this skill builder ⚡ worksheet on Modular Arithmetic. Worksheet 3 of 10 contains 20 beginner-level problems. Target your step-by-step problem solving skills while practicing modular arithmetic practice, modular arithmetic for competitive exams, and how to solve modular arithmetic.

📝 Worksheet 3 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Modular Arithmetic
Worksheet 3 of 10 (22% complete)

Question 1

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 2

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 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 8), 'LETTER' becomes?
Modular coding: L=12%8=4, E=5%8=5, T=20%8=4, T=20%8=4, E=5%8=5, R=18%8=2 → concatenated = 454452

Question 6

If letters are coded as (position mod 10), 'PYTHON' becomes?
Modular coding: P=16%10=6, Y=25%10=5, T=20%10=0, H=8%10=8, O=15%10=5, N=14%10=4 → concatenated = 650854

Question 7

If letters are coded as (position mod 8), 'NUMBER' becomes?
Modular coding: N=14%8=6, U=21%8=5, M=13%8=5, B=2%8=2, E=5%8=5, R=18%8=2 → concatenated = 655252

Question 8

If letters are coded as (position mod 7), 'ALPHABET' becomes?
Modular coding: A=1%7=1, L=12%7=5, P=16%7=2, H=8%7=1, A=1%7=1, B=2%7=2, E=5%7=5, T=20%7=6 → concatenated = 15211256

Question 9

If letters are coded as (position mod 10), 'ALPHABET' becomes?
Modular coding: A=1%10=1, L=12%10=2, P=16%10=6, H=8%10=8, A=1%10=1, B=2%10=2, E=5%10=5, T=20%10=0 → concatenated = 12681250

Question 10

If letters are coded as (position mod 7), 'CODING' becomes?
Modular coding: C=3%7=3, O=15%7=1, D=4%7=4, I=9%7=2, N=14%7=0, G=7%7=0 → concatenated = 314200

Question 11

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 12

If letters are coded as (position mod 5), 'HELLO' becomes?
Modular coding: H=8%5=3, E=5%5=0, L=12%5=2, L=12%5=2, O=15%5=0 → concatenated = 30220

Question 13

If letters are coded as (position mod 9), 'LETTER' becomes?
Modular coding: L=12%9=3, E=5%9=5, T=20%9=2, T=20%9=2, E=5%9=5, R=18%9=0 → concatenated = 352250

Question 14

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 15

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 16

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 17

If letters are coded as (position mod 9), 'WORLD' becomes?
Modular coding: W=23%9=5, O=15%9=6, R=18%9=0, L=12%9=3, D=4%9=4 → concatenated = 56034

Question 18

If letters are coded as (position mod 9), 'WORLD' becomes?
Modular coding: W=23%9=5, O=15%9=6, R=18%9=0, L=12%9=3, D=4%9=4 → concatenated = 56034

Question 19

If letters are coded as (position mod 8), 'WORLD' becomes?
Modular coding: W=23%8=7, O=15%8=7, R=18%8=2, L=12%8=4, D=4%8=4 → concatenated = 77244

Question 20

If letters are coded as (position mod 8), 'WORLD' becomes?
Modular coding: W=23%8=7, O=15%8=7, R=18%8=2, L=12%8=4, D=4%8=4 → concatenated = 77244
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