# CAT 2023 Question Paper | DILR Slot 3

###### CAT Previous Year Paper | CAT DILR Questions | Question 14

CAT 2023 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.

An air conditioner (AC) company has four dealers – D1, D2, D3 and D4 in a city. It is evaluating sales performances of these dealers. The company sells two variants of ACs – Window and Split. Both these variants can be either Inverter type or Non-inverter type. It is known that of the total number of ACs sold in the city, 25% were of Window variant, while the rest were of Split variant. Among the Inverter ACs sold, 20% were of Window variant.

The following information is also known: 1. Every dealer sold at least two window ACs.
2. D1 sold 13 inverter ACs, while D3 sold 5 Non-inverter ACs. 3. A total of six Window Non-inverter ACs and 36 Split Inverter ACs were sold in the city.4. The number of Split ACs sold by D1 was twice the number of Window ACs sold by it.5. D3 and D4 sold an equal number of Window ACs and this number was one-third of the number of similar ACs sold by D2.6. D2 and D3 were the only ones who sold Window Non-inverter ACs. The number of these ACs sold by D2 was twice the number of these ACs sold by D3.
7. D3 and D4 sold an equal number of Split Inverter ACs. This number was half the number of similar ACs sold by D2.

Question 14 : Which of the following statements is necessarily false?

1. D2 sold the highest number of ACs.
2. D1 and D3 together sold more ACs as compared to D2 and D4 together.
3. D1 and D3 sold an equal number of Split ACs.
4. D4 sold more Split ACs as compared to D3.

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The question is " Which of the following statements is necessarily false? "

##### Hence, the answer is 'D1 and D3 together sold more ACs as compared to D2 and D4 together'

Choice B is the correct answer.

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