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A state road corporation reports that its buses on the Ranchi–Daltonganj route run with 68 in every hundred of their seats filled, and its planning wing concludes that the route needs no additional bus. Which of the following, if true, most weakens the wing's conclusion?

Competition practiceLogical / Critical
  • AThe corporation's buses on the route are of two makes, seating 52 and 56 passengers
  • BOn the six morning trips the buses go out full and leave passengers standing at the roadside, while the eleven trips after two in the afternoon go out less than a quarter filled; the 68 is the two taken together
  • CThe corporation raised the fare on the route by one rupee at the last revision
  • DThe route runs 232 kilometres and a bus takes about six hours over it

Step-by-Step Solution

The wing has treated a single figure as though the demand were spread evenly through the day, and the option shows the spread it hides: a morning at which the route is turning passengers away and an afternoon at which it is carrying air. An additional bus is wanted at one end of that spread whatever the average says, and the average is only comfortable because the empty trips are paying for the full ones. The two seating capacities would alter the arithmetic of the average very slightly and leave its shape untouched. The fare revision bears on what passengers pay. And the length of the route and the running time describe the journey without telling the wing when in the day the crush occurs.
Answer: B) On the six morning trips the buses go out full and leave passengers standing at the roadside, while the eleven trips after two in the afternoon go out less than a quarter filled; the 68 is the two taken together

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