Multiple choice general knowledge math & puzzles

A man ate 100 bananas in five days, each day eating 6 more than the previous day. How many bananas did he eat on the first day?

  1. 8

  2. 7

  3. 6

  4. nothing
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let x be bananas on first day. Then x + (x+6) + (x+12) + (x+18) + (x+24) = 100. This simplifies to 5x + 60 = 100, so 5x = 40 and x = 8. The arithmetic progression increases by 6 each day, giving the sequence 8, 14, 20, 26, 32.

AI explanation

This is an arithmetic sequence over 5 days with common difference 6 (each day 6 more than the last). If the first day's amount is a, the total is a + (a+6) + (a+12) + (a+18) + (a+24) = 5a + 60. Setting this equal to 100: 5a + 60 = 100, so 5a = 40, giving a = 8. Check: 8, 14, 20, 26, 32 sums to 100. The other options don't satisfy this sum when the +6-per-day pattern is applied.

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