CAT 2023 Slot 1 Solved Paper

Question : 55 of 66

Marks: +1, -0

Brishti went on an 8-hour trip in a car. Before the trip, the car had travelled a total of

x {\km}

till then, where

x

is a whole number and is palindromic, i.e.,

x

remains unchanged when its digits are reversed. At the end of the trip, the car had travelled a total of

26862 {\km}

till then, this number again being palindromic. If Brishti never drove at more than

110 {\km} \/ {\h}

, then the greatest possible average speed at which she drove during the trip, in

{\km} \/ {\h}

, was

Validate

Solution:

Given the total number of kilometres travelled, including the trip = is 26862 Km, and the duration of the trip is 8
hrs.
If avg. speed of the car during the trip is 's' ⇒ the km travelled till just before the trip is 26862 - 8s, which should
also be a palindrome.

\Rightarrow

From the options if

s=110⇒

The reading will be

26862-110 ⋆ 8=25982

(Not a palindrome)

\Rightarrow

s=100 ⇒

The reading will be

26862-100 * 8=26062⇒

It is a palindrome.

⇒ s=100

is the correct option.

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