CAT 2024 Question Paper | DILR Slot 3

CAT Questions

CAT 2024 DILR did not have a change in pattern. Atleast two sets were doable in each slot and one of the four sets was extremely tough. Choice of Sets became a crucial factor. Overall this section was at a medium to high level of difficulty.

The air-conditioner (AC) in a large room can be operated either in REGULAR mode or in POWER mode to reduce the temperature.

If the AC operates in REGULAR mode, then it brings down the temperature inside the room (called inside temperature) at a constant rate to the set temperature in 1 hour. If it operates in POWER mode, then this is achieved in 30 minutes.

If the AC is switched off, then the inside temperature rises at a constant rate so as to reach the temperature outside at the time of switching off in 1 hour.

The temperature outside has been falling at a constant rate from 7 pm onward until 3 am on a particular night. The following graph shows the inside temperature between 11 pm (23:00) and 2 am (2:00) that night.



The following facts are known about the AC operation that night.

• The AC was turned on for the first time that night at 11 pm (23:00).
• The AC setting was changed (including turning it on/off, and/or setting different temperatures) only at the beginning of the hour or at 30 minutes after the hour.
• The AC was used in POWER mode for longer duration than in REGULAR mode during this 3-hour period.

Question 13 : What was the maximum difference between temperature outside and inside temperature, in degree Celsius, between 11:01 pm and 1:59 am?

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Video Explanation

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Explanatory Answer

Following data was captured from the question:

TIME	TEMPERATURE	AC - ON/OFF	MODE	OUTSIDE TEMP
23:00	38	ON
23:30	32	ON
00:00	26	OFF
00:30	31	ON
01:00	26	OFF
01:30	30	ON
02:00	28

Since AC is turned OFF at 12:00, it must reach the outside temperature at 12:00 in 1 hour. It rises from 26 degrees to 31 degrees at 12:30 AM (an increase of 5 degrees in 30 minutes). It clearly states that the outside temperature will be 31 + 5 = 36 degree Celsius at 12:00 AM.

Similarly, AC is turned OFF at 1:00 AM, it must reach the outside temperature at 1:00 AM in 1 hour. It rises from 26 degrees to 30 degrees at 1:30 AM (an increase of 4 degrees in 30 minutes). It clearly states that the outside temperature will be 30 + 4 = 34 degree Celsius at 1:00 AM.

Also, temperature outside has been falling at a constant rate from 7 PM onward until 3 AM on a particular night.

TIME	TEMPERATURE	AC - ON/OFF	MODE	OUTSIDE TEMP
23:00	38	ON		38
23:30	32	ON		37
00:00	26	OFF	NA	36
00:30	31	ON		35
01:00	26	OFF	NA	34
01:30	30	ON		33
02:00	28			32

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The question is "What was the maximum difference between temperature outside and inside temperature, in degree Celsius, between 11:01 pm and 1:59 am? "

Solution: 10 degrees Celsius.

Hence, the answer is '10'

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