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General Aptitude
Quantitative Aptitude
GATE 2015
Medium

An electric bus has onboard instruments that report the total electricity consumed since the start of the trip as well as the total distance covered. During a single day of operation, the bus travels on stretches M, N, O, and P, in that order. The cumulative distances travelled and the corresponding electricity consumption are shown in the table below:

Stretch | Cumulative distance (km) | Electricity used (kWh) M | 20 | 12 N | 45 | 25 O | 75 | 45 P | 100 | 57

The stretch where the electricity consumption per km is minimum is

  • AM
  • BN
  • CO
  • P

Explanation

Compute each stretch's own distance and electricity used from the cumulative figures, then divide: M = 12/20 = 0.60 kWh/km. N = (25-12)/(45-20) = 13/25 = 0.52 kWh/km. O = (45-25)/(75-45) = 20/30 = 0.667 kWh/km. P = (57-45)/(100-75) = 12/25 = 0.48 kWh/km. P has the lowest consumption per km.

Source: GATE ME 2015 (Session 1) (2015)

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