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Post-UTME Mathematics 2015 Objective — Question 23

Question 23 of 40 from the Post-UTME Screening (Post-UTME) Mathematics 2015 Objective paper, with the correct answer and a full explanation.

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A restaurant has 10 booths that will seat up to 4 people each. If 20 people are seated in booths, and no booths are empty, what is the greatest possible number of booths that could be filled with 4 people?

  • A. 0
  • B. 1
  • C. 2
  • D. 3Correct

Explanation

To maximize full booths while seating all 20 people across 10 non-empty booths, 3 booths can hold 4 each (12 people), with the remaining 7 booths holding the other 8 people (each at least 1).

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