Practice30Create account

How many digits are there in the repeating block of the decimal expansion of 1/7?

Competition practiceNumber & Arithmetic
  • A1
  • B3
  • C7
  • D6

Step-by-Step Solution

Dividing 1 by 7 gives 0.142857142857…, and the block 142857 repeats. It has 6 digits. In general the block length of 1/p is less than p, since only the remainders 1 to p − 1 can occur before one repeats.
Answer: D) 6

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Number & Arithmetic practice questions

More Number & Arithmetic practice

To prove that √2 is irrational we assume √2 = p/q, where p and q are integers with no…Which of the following statements is TRUE?The value of 8^(2/3) × 32^(−2/5) ÷ 4^(−1/2) is:A vessel is 1/3 full of juice. After 30 more litres are poured in, it becomes 3/4 full.…How many zeros does the product 5 × 10 × 15 × 20 × … × 50 end with?