Pandemic Cases in Four Neighbourhoods

CAT 2022 Slot 3 · DILR · Medium · Logical Reasoning

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Passage / data set

There are only four neighbourhoods in a city - Levmisto, Tyhrmisto, Pesmisto and Kitmisto. During the onset of a pandemic, the number of new cases of a disease in each of these neighbourhoods was recorded over a period of five days. On each day, the number of new cases recorded in any of the neighbourhoods was either 0, 1, 2 or 3.

The following facts are also known:

  1. There was at least one new case in every neighbourhood on Day 1.
  2. On each of the five days, there were more new cases in Kitmisto than in Pesmisto.
  3. The number of new cases in the city in a day kept increasing during the five-day period. The number of new cases on Day 3 was exactly one more than that on Day 2.
  4. The maximum number of new cases in a day in Pesmisto was 2, and this happened only once during the five-day period.
  5. Kitmisto is the only place to have 3 new cases on Day 2.
  6. The total numbers of new cases in Levmisto, Tyhrmisto, Pesmisto and Kitmisto over the five-day period were 12, 12, 5 and 14 respectively.

Question 1 of 5

What BEST can be concluded about the total number of new cases in the city on Day 2?

  1. A.

    Either 6 or 7

  2. B.

    Exactly 8

  3. C.

    Exactly 7

  4. D.

    Either 7 or 8

Answer

B

Explanation

By working through the constraints day by day, the total number of new cases on Day 2 must be exactly 8.

Question 2 of 5

What BEST can be concluded about the number of new cases in Levmisto on Day 3?

  1. A.

    Exactly 3

  2. B.

    Either 2 or 3

  3. C.

    Exactly 2

  4. D.

    Either 0 or 1

Answer

A

Explanation

Analyzing Day 3 case counts shows Levmisto must have exactly 3 new cases.

Question 3 of 5

On which day(s) did Pesmisto not have any new case?

  1. A.

    Only Day 3

  2. B.

    Only Day 2

  3. C.

    Both Day 2 and Day 4

  4. D.

    Both Day 2 and Day 3

Answer

A

Explanation

Pesmisto had 0 cases only on Day 3.

Question 4 of 5

Which of the two statements below is/are necessarily false?

Statement A: There were 2 new cases in Tyhrmisto on Day 3. Statement B: There were no new cases in Pesmisto on Day 2.

  1. A.

    Statement B only

  2. B.

    Both Statement A and Statement B

  3. C.

    Statement A only

  4. D.

    Neither Statement A nor Statement B

Answer

B

Explanation

Both Statement A and Statement B contradict the unique solution to the case grid, so both statements are necessarily false.

Question 5 of 5

On how many days did Levmisto and Tyhrmisto have the same number of new cases?

  1. A.

    4

  2. B.

    5

  3. C.

    3

  4. D.

    2

Answer

B

Explanation

Levmisto and Tyhrmisto have identical daily case counts on all 5 days.

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