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CAT 2023 Time, Speed and Distance — Previous Year Question

Year

CAT 2023

Section

Quantitative

Topic

Time, Speed and Distance

Difficulty

Hard

Question

Slot-1

Brishti went on an 8-hour trip in a car. Before the trip, the car had travelled a total of x kmx \mathrm{~km} till then, where xx is a whole number and is palindromic, i.e., xx remains unchanged when its digits are reversed. At the end of the trip, the car had travelled a total of 26862 km26862 \mathrm{~km} till then, this number again being palindromic. If Brishti never drove at more than 110 km/h110 \mathrm{~km} / \mathrm{h} , then the greatest possible average speed at which she drove during the trip, in km/h\mathrm{km} / \mathrm{h} , was

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