Mastermind
(CAT 2003(R))
Recently, the answers of a test held nationwide were leaked to a group of unscrupulous people. The investigative agency has arrested the mastermind and nine other people A, B, C, D, E, F, G, H and I in this matter. Interrogating them, the following facts have been obtained regarding their operation. Initially the mastermind obtains the correct answer-key. All the others create their answer-key in the following manner. They obtain the answer-key from one or two people who already possess the same. These people are called his/her ‘sources’. If the person has two sources, then he/she compares the answer-keys obtained from both sources. If the key to a question from both sources is identical, it is copied, otherwise it is left blank. If the person has only one source, he/she copies the source’s answers into his/her copy. Finally, each person compulsorily replaces one of the answers (not a blank one) with a wrong answer in his/her answer key.
The paper contained 200 questions; so the investigative agency has ruled out the possibility of two or more of them introducing wrong answers to the same question. The investigative agency has a copy of the correct answer key and has tabulated the following data. These data represent question numbers.
1. Which one among the following must have two sources?
a. A
b. B
c. C
d. D
2. How many people (excluding the mastermind) needed to make answer-keys before C could make his answer-key?
a. 2
b. 3
c. 4
d. 5
3. Both G and H were sources to
a. F
b. B
c. I
d. None of the nine
4. Which of the following statements is true?
a. C introduced the wrong answer to question 27.
b. E introduced the wrong answer to question 46.
c. F introduced the wrong answer to question 14.
d. H introduced the wrong answer to question 46.
5. Which of the following two groups of people had identical sources?
I. A, D and G II. E and H
a. Only I
b. Only II
c. Neither I nor II
d. Both I and II
For answers click here.
Recently, the answers of a test held nationwide were leaked to a group of unscrupulous people. The investigative agency has arrested the mastermind and nine other people A, B, C, D, E, F, G, H and I in this matter. Interrogating them, the following facts have been obtained regarding their operation. Initially the mastermind obtains the correct answer-key. All the others create their answer-key in the following manner. They obtain the answer-key from one or two people who already possess the same. These people are called his/her ‘sources’. If the person has two sources, then he/she compares the answer-keys obtained from both sources. If the key to a question from both sources is identical, it is copied, otherwise it is left blank. If the person has only one source, he/she copies the source’s answers into his/her copy. Finally, each person compulsorily replaces one of the answers (not a blank one) with a wrong answer in his/her answer key.
The paper contained 200 questions; so the investigative agency has ruled out the possibility of two or more of them introducing wrong answers to the same question. The investigative agency has a copy of the correct answer key and has tabulated the following data. These data represent question numbers.
1. Which one among the following must have two sources?
a. A
b. B
c. C
d. D
2. How many people (excluding the mastermind) needed to make answer-keys before C could make his answer-key?
a. 2
b. 3
c. 4
d. 5
3. Both G and H were sources to
a. F
b. B
c. I
d. None of the nine
4. Which of the following statements is true?
a. C introduced the wrong answer to question 27.
b. E introduced the wrong answer to question 46.
c. F introduced the wrong answer to question 14.
d. H introduced the wrong answer to question 46.
5. Which of the following two groups of people had identical sources?
I. A, D and G II. E and H
a. Only I
b. Only II
c. Neither I nor II
d. Both I and II
For answers click here.
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