Modular arithmetic and divisibility tests

Modular arithmetic and divisibility tests Quiz

Spec 5.3 · Edexcel A-Level Further Maths: Quiz

Studying this course? Keep your progress in one place.

Pick an answer for each. Quizzes never use energy.

5 questions, one answer each

Each answer is checked as you go, with why.

See all 5 questions

1. What is the least non-negative residue of $38$ modulo $7$ ?
- A. $5$
- B. $4$
- C. $3$
- D. $31$
2. If $a\equiv3$ and $b\equiv5\pmod8$ , then $ab\equiv$
- A. $7$
- B. $8$
- C. $15$
- D. $1$
3. Which number is divisible by $11$ ?
- A. $1245$
- B. $2345$
- C. $5416$
- D. $3487$
4. What is the remainder when $5^{20}$ is divided by $6$ ?
- A. $5$
- B. $1$
- C. $0$
- D. $4$
5. Which number is divisible by $4$ ?
- A. $7342$
- B. $1258$
- C. $4516$
- D. $9630$