Multiple choice

Out of 1 - 110 numbered cards, how many favourable outcomes are there for picking a card of number that is divisible by 5?

  1. 22

  2. 21

  3. 20

  4. 19
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A Correct answer
Explanation

The multiples of 5 between 1 and 110 are 5, 10, ..., 110. This is an arithmetic sequence: 110 = 5 + (n-1)5, so 110 = 5n, n = 22.

AI explanation

To find the amount of numbered cards divisible by 5 between 1 and 110, apply the formula for the number of terms in an arithmetic progression where the first term is 5, the last term is 110, and the common difference is 5. This gives the calculation (110 minus 5) divided by 5, plus 1, which simplifies to 21 plus 1. There are exactly 22 favourable outcomes.

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