16Hit1600
Advanced MathVery hardTime for repeated doubling to reach a target

Advanced Math practice question

A rumour is known to 3 people on day 1, and the number who know it doubles each day. On which day does the number who know it first exceed 100?

Answer: 7

Day 1: 3, day 2: 6, day 3: 12, day 4: 24, day 5: 48, day 6: 96, day 7: 192. Day 7 is the first over 100.

Common wrong answers

If you answered 5
On day 5 it is 48.
If you answered 6
On day 6 the number is 96, not yet over 100.
If you answered 34
34 comes from 100 ÷ 3, treating growth as linear.

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