Question:medium

The mileage of a vehicle at a speed of 50 kmph is 60 kmpl. If the speed is above 50 kmph, for every rise of 5 kmph in speed, the mileage decreases by 2 kmpl. If a man travels 300 km at a uniform speed, how many litres of petrol will the vehicle consume?

Statement 1: He travels a distance of 300 km at a uniform speed of 75 kmph.
Statement 2: The mileage of the vehicle at a speed of 75 kmph is 50 kmpl.

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Convert speed to mileage using the step-wise rule (5 kmph rise = 2 kmpl drop), then fuel = distance / mileage.
Updated On: Jul 20, 2026
  • If the data in statement (1) alone is sufficient to answer the question, but the data in statement (2) alone is not sufficient.
  • If the data in statement (2) alone is sufficient to answer the question, but the data in statement (1) alone is not sufficient.
  • If the data in both the statements together are needed to answer the question.
  • If either statement (1) alone or statement (2) alone is sufficient to answer the question.
  • If the data in neither statement (1) nor statement (2) is sufficient to answer the question, and more data is needed.
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The Correct Option is D

Solution and Explanation

Look at this as two different doors into the same room. The question only has one real unknown once distance (300 km) is fixed: what mileage applies to this trip, because fuel = distance/mileage.

Door one (statement 1) gives the trip's speed as 75 kmph. Apply the rule in the question stem: mileage drops by 2 kmpl for every 5 kmph above 50. From 50 to 75 is 25 kmph, or five 5-kmph jumps, so mileage falls by 5 x 2 = 10 kmpl from the base 60 kmpl, landing at 50 kmpl. Fuel = 300/50 = 6 litres.

Door two (statement 2) skips the speed-to-mileage conversion and hands you the trip's mileage directly: 50 kmpl at the 75 kmph he was driving. Plug straight into fuel = distance/mileage = 300/50 = 6 litres.

Both doors lead to the identical figure of 6 litres consumed, confirming that either statement by itself is a complete, workable path to the answer - so the correct choice is (d).
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