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 patientandrsquo;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 A tests positive and vials D and G test negative. Which of the following vials should we test next to identify the patient with the disease?a)Vial Eb)Vial Hc)Vial Cd)Vial BCorrect answer is option 'A'. Can you explain this answer?

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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 A tests positive and vials D and G test negative. Which of the following vials should we test next to identify the patient with the disease?

a)
Vial E
b)
Vial H
c)
Vial C
d)
Vial B

Correct answer is option 'A'. Can you explain this answer?

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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 a tests positive, then following patients can have disease. Patient No. 9,10,11,12,13,14,15,16 → (1)
Vials D & G test negative
⇒ Following patients, can't have disease patients No : -1, 2, 3, 4, 6, 8, 9,10,11,12,14, \&16 → (2)
From both 1 &2, we ca say that patient No .13 or patient No. 15 can have disease.
Now we have eliminate or find out who among patient 13 or patient 15 has disease. So we should test vials E or F

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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 one of the lab assistants accidentally mixed two patients blood samples before they were distributed to the vials. Which of the following correctly represents the set of all possible numbers of positive test results out of the eight vials?

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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 A tests positive and vials D and G test negative. Which of the following vials should we test next to identify the patient with the disease?a)Vial Eb)Vial Hc)Vial Cd)Vial BCorrect answer is option 'A'. 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 A tests positive and vials D and G test negative. Which of the following vials should we test next to identify the patient with the disease?a)Vial Eb)Vial Hc)Vial Cd)Vial BCorrect answer is option 'A'. 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 A tests positive and vials D and G test negative. Which of the following vials should we test next to identify the patient with the disease?a)Vial Eb)Vial Hc)Vial Cd)Vial BCorrect answer is option 'A'. 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 A tests positive and vials D and G test negative. Which of the following vials should we test next to identify the patient with the disease?a)Vial Eb)Vial Hc)Vial Cd)Vial BCorrect answer is option 'A'. Can you explain this answer?.

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