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Sixteen patients in a hospital must undergo a blood test for a disease. It is known that exactly one of them has the disease. The hospital has only eight testing kits and has decided to pool blood samples of patients into eight vials for the tests. The patients are numbered 1 through 16, and the vials are labelled A, B, C, D, E, F, G, and H. The following table shows the vials into which each patient’s blood sample is distributed.
If a patient has the disease, then each vial containing his/her blood sample will test positive. If a vial tests positive, one of the patients whose blood samples were mixed in the vial has the disease. If a vial tests negative, then none of the patients whose blood samples were mixed in the vial has the disease. 
Q. Suppose vial C tests positive and vials A, E and H test negative. Which patient has the disease?
  • a)
    Patient 14
  • b)
    Patient 2
  • c)
    Patient 6
  • d)
    Patient 8 
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Sixteen patients in a hospital must undergo a blood test for a disease...
This table helps to figure out that vials A & B, viable C & D, Vials E & F, Vials G & H cannot be negative simultaneously. As each group consists exclusive set of patients
If vial C tests positive vials A , E and H test negative . If vial C tests positive following patients can have disease.
Patient No. 5, 6, 7, 8, 13, 14, 15 & 16
If vials A, E & H test negative ⇒ following patients can't have disease
Patients who can't have disease are:
Patient No. 5, 7, 8, 13, 14, 15 & 16 ⇒ Patient 6 must have disease 
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Sixteen patients in a hospital must undergo a blood test for a disease. It is known that exactly one of them has the disease. The hospital has only eight testing kits and has decided to pool blood samples of patients into eight vials for the tests. The patients are numbered 1through 16, and the vials are labelled A, B, C, D, E, F, G, and H. The following table shows the vials into which each patient’s blood sample is distributed.If a patient has the disease, then each vial containing his/her blood sample will test positive. If a vial tests positive, one of the patients whose blood samples were mixed in the vial has the disease. If a vial tests negative, then none of the patients whose blood samples were mixed in the vial has the disease.Q. Suppose vial C tests positive and vials A, E and H test negative. Which patient has the disease?a)Patient 14b)Patient 2c)Patient 6d)Patient 8Correct answer is option 'C'. Can you explain this answer?
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Sixteen patients in a hospital must undergo a blood test for a disease. It is known that exactly one of them has the disease. The hospital has only eight testing kits and has decided to pool blood samples of patients into eight vials for the tests. The patients are numbered 1through 16, and the vials are labelled A, B, C, D, E, F, G, and H. The following table shows the vials into which each patient’s blood sample is distributed.If a patient has the disease, then each vial containing his/her blood sample will test positive. If a vial tests positive, one of the patients whose blood samples were mixed in the vial has the disease. If a vial tests negative, then none of the patients whose blood samples were mixed in the vial has the disease.Q. Suppose vial C tests positive and vials A, E and H test negative. Which patient has the disease?a)Patient 14b)Patient 2c)Patient 6d)Patient 8Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Sixteen patients in a hospital must undergo a blood test for a disease. It is known that exactly one of them has the disease. The hospital has only eight testing kits and has decided to pool blood samples of patients into eight vials for the tests. The patients are numbered 1through 16, and the vials are labelled A, B, C, D, E, F, G, and H. The following table shows the vials into which each patient’s blood sample is distributed.If a patient has the disease, then each vial containing his/her blood sample will test positive. If a vial tests positive, one of the patients whose blood samples were mixed in the vial has the disease. If a vial tests negative, then none of the patients whose blood samples were mixed in the vial has the disease.Q. Suppose vial C tests positive and vials A, E and H test negative. Which patient has the disease?a)Patient 14b)Patient 2c)Patient 6d)Patient 8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sixteen patients in a hospital must undergo a blood test for a disease. It is known that exactly one of them has the disease. The hospital has only eight testing kits and has decided to pool blood samples of patients into eight vials for the tests. The patients are numbered 1through 16, and the vials are labelled A, B, C, D, E, F, G, and H. The following table shows the vials into which each patient’s blood sample is distributed.If a patient has the disease, then each vial containing his/her blood sample will test positive. If a vial tests positive, one of the patients whose blood samples were mixed in the vial has the disease. If a vial tests negative, then none of the patients whose blood samples were mixed in the vial has the disease.Q. Suppose vial C tests positive and vials A, E and H test negative. Which patient has the disease?a)Patient 14b)Patient 2c)Patient 6d)Patient 8Correct answer is option 'C'. Can you explain this answer?.
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Suppose vial C tests positive and vials A, E and H test negative. Which patient has the disease?a)Patient 14b)Patient 2c)Patient 6d)Patient 8Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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