Multiple choice

There are 10 compartments in a passenger train that carries an average (15) passengers per compartment. If at least (7) passengers were sitting in each compartment, no compartment has an equal number of passengers, and any compartment does not exceed the number of average passengers except the 10th compartment. Find how many passengers can be accommodated in the 10th compartment.

  1. 38

  2. 51

  3. 47

  4. 50
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Compartments 1-9 must have distinct values from 7 to 15 (inclusive), with all different and each at least 7. The maximum sum for 9 compartments under 15 is 7+8+9+10+11+12+13+14+15 = 99. Total passengers = 10 × 15 = 150. The 10th compartment = 150 - 99 = 51.

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