CAT 2022 Question Paper | DILR Slot 2

CAT Questions

CAT 2022 DILR saw a change in patter. Unlike the previous years, all the four sets had 5 questions this year. There were 6 TITA Qs this year. 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.

A few salesmen are employed to sell a product called TRICCEK among households in various housing complexes. On each day, a salesman is assigned to visit one housing complex. Once a salesman enters a housing complex, he can meet any number of households in the time available. However, if a household makes a complaint against the salesman, then he must leave the housing complex immediately and cannot meet any other household on that day. A household may buy any number of TRICCEK items or may not buy any item. The salesman needs to record the total number of TRICCEK items sold as well as the number of households met in each day. The success rate of a salesman for a day is defined as the ratio of the number of items sold to the number of households met on that day. Some details about the performances of three salesmen - Tohri, Hokli and Lahur, on two particular days are given below.

1. Over the two days, all three of them met the same total number of households, and each of them sold a total of 100 items.
2. On both days, Lahur met the same number of households and sold the same number of items.
3. Hokli could not sell any item on the second day because the first household he met on that day complained against him.
4. Tohri met 30 more households on the second day than on the first day.
5. Tohri's success rate was twice that of Lahur's on the first day, and it was 75% of Lahur's on the second day.

Question 4 : How many households did Tohri meet on the first day?

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Video Explanation

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Explanatory Answer

1. Over the two days, all three of them met the same total number of households, and each of them sold a total of 100 items.





2. On both days, Lahur met the same number of households and sold the same number of items.



3. Hokli could not sell any item on the second day because the first household he met on that day complained against him.



4. Tohri met 30 more households on the second day than on the first day.



5. Tohri's success rate was twice that of Lahur's on the first day, and it was 75% of Lahur's on the second day.



\(\frac{y}{x-15}\) = \(\frac{50}{x}\)*2
\(\frac{100-y}{x+15}\) = \(\frac{50}{x}\)*\(\frac{3}{4}\)
xy = 100(x–15).
4x(100–y) = 150(x+15)
400x – 4xy = 150(x+15)
400x – 4*100(x–15) = 150(x+15) 400 * 15 = 150 (x+15). x = 25



\(\frac{y}{10}\) = \(\frac{50}{25}\)*2
y = 40

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The question is " How many households did Tohri meet on the first day? "

Hence, the answer is '10 or less'

Choice B is the correct answer.

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