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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. Which of the following combinations of test results is NOT possible?
  • a)
    Vials A and G positive, vials D and E negative
  • b)
    Vials B and D positive, vials F and H negative
  • c)
    Vial B positive, vials C, F and H negative
  • d)
    Vials A and E positive, vials C and D negative 
Correct answer is option 'D'. 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 vials C & D test negative, that means none of the patients through 16 have diseases. But its given in the questions, that exactly one of the patients has disease. This is not possible 
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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.Which of the following combinations of test results is NOT possible?a)Vials A and G positive, vials D and E negativeb)Vials B and D positive, vials F and H negativec)Vial B positive, vials C, F and H negatived)Vials A and E positive, vials C and D negativeCorrect answer is option 'D'. Can you explain this answer?
Question Description
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.Which of the following combinations of test results is NOT possible?a)Vials A and G positive, vials D and E negativeb)Vials B and D positive, vials F and H negativec)Vial B positive, vials C, F and H negatived)Vials A and E positive, vials C and D negativeCorrect answer is option 'D'. 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.Which of the following combinations of test results is NOT possible?a)Vials A and G positive, vials D and E negativeb)Vials B and D positive, vials F and H negativec)Vial B positive, vials C, F and H negatived)Vials A and E positive, vials C and D negativeCorrect answer is option 'D'. 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.Which of the following combinations of test results is NOT possible?a)Vials A and G positive, vials D and E negativeb)Vials B and D positive, vials F and H negativec)Vial B positive, vials C, F and H negatived)Vials A and E positive, vials C and D negativeCorrect answer is option 'D'. Can you explain this answer?.
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Here you can find the meaning of 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.Which of the following combinations of test results is NOT possible?a)Vials A and G positive, vials D and E negativeb)Vials B and D positive, vials F and H negativec)Vial B positive, vials C, F and H negatived)Vials A and E positive, vials C and D negativeCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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.Which of the following combinations of test results is NOT possible?a)Vials A and G positive, vials D and E negativeb)Vials B and D positive, vials F and H negativec)Vial B positive, vials C, F and H negatived)Vials A and E positive, vials C and D negativeCorrect answer is option 'D'. Can you explain this answer?, a detailed solution 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.Which of the following combinations of test results is NOT possible?a)Vials A and G positive, vials D and E negativeb)Vials B and D positive, vials F and H negativec)Vial B positive, vials C, F and H negatived)Vials A and E positive, vials C and D negativeCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of 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.Which of the following combinations of test results is NOT possible?a)Vials A and G positive, vials D and E negativeb)Vials B and D positive, vials F and H negativec)Vial B positive, vials C, F and H negatived)Vials A and E positive, vials C and D negativeCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 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.Which of the following combinations of test results is NOT possible?a)Vials A and G positive, vials D and E negativeb)Vials B and D positive, vials F and H negativec)Vial B positive, vials C, F and H negatived)Vials A and E positive, vials C and D negativeCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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