CAT 2020 DILR Slot 3

A farmer distributes his rectangular land (12 plots in 3 rows and 4 columns) among his four daughters: Abha, Bina, Chitra, and Dipti. Each plot has mango, teak, or pine trees, and the number of trees in each plot is a non-zero multiple of 3 or 4. Each daughter gets an even number of plots.

Key details:

• Abha got 20 more trees than Chitra and 6 fewer trees than Dipti.
• The largest number of trees in a plot is 32, but it is not with Abha.
• Teak trees in Column 3 are double those in Column 2 and half those in Column 4.
• Only Bina, Chitra, and Dipti got corner plots.
• Dipti got two adjoining plots in the same row.
• Bina was the only one who got a plot in each row and each column.
• Chitra and Dipti did not get adjacent plots.
• The number of mango trees is double the number of teak trees.

Four players (Arun, Bankim, Charu, and Dipak) play the Hi-Lo game over six rounds. Each round involves bidding Hi or Lo, and points are awarded or deducted based on the combination of bids.

Key details:

• At the end of three rounds, Arun had 6 points, Dipak had 2 points, and Bankim and Charu had -2 points each.
• At the end of six rounds, Arun had 7 points, Bankim and Dipak had -1 point each, and Charu had -5 points.
• Dipak's score in the third round was less than his score in the first round but more than his score in the second round.
• In exactly two rounds, Arun was the only player to bid Hi.

XYZ organization delivers groceries with a two-day delivery promise. Orders not delivered within two days are declared lost. Data is provided for a week, including cumulative orders booked, orders delivered, and cumulative orders lost.

Key details:

• Orders booked on the 11th, 12th, and 13th that took two days to deliver were 4, 6, and 8, respectively.
• The table provides cumulative orders booked, orders delivered, and cumulative orders lost for each day.

A survey of 600 schools in India was conducted to study their online teaching-learning processes (OTLP). Four facilities were studied: F1 (Own software), F2 (Trained teachers), F3 (Training materials), and F4 (All students having laptops).

Key details:

• 80 schools did not have any of the four facilities.
• 40 schools had all four facilities.
• The number of schools with only F1, F2, F3, and F4 was 25, 30, 26, and 20, respectively.
• The number of schools with exactly three facilities was the same irrespective of which three were considered.
• 313 schools had F2.
• 26 schools had only F2 and F3.
• Among schools having F4, 24 had only F3, and 45 had only F2.
• 162 schools had both F1 and F2.
• The number of schools having F1 was the same as the number of schools having F4.

Sixteen patients in a hospital must undergo a blood test for a disease. Exactly one patient has the disease. Blood samples are pooled into eight vials (A–H), and each vial tests positive if it contains the blood of the infected patient.

Key details:

• The table shows which patients' blood samples are mixed in each vial.
• If a vial tests positive, one of the patients whose blood is in the vial has the disease.
• If a vial tests negative, none of the patients whose blood is in the vial has the disease.

Sixteen patients in a hospital must undergo a blood test for a disease. Exactly one patient has the disease. Blood samples are pooled into eight vials (A–H), and each vial tests positive if it contains the blood of the infected patient.

Key details:

• The table shows which patients' blood samples are mixed in each vial.
• If a vial tests positive, one of the patients whose blood is in the vial has the disease.
• If a vial tests negative, none of the patients whose blood is in the vial has the disease.