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How many people (excluding the mastermind) needed to make answer keys before C could make his answer key? - Mathematics

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प्रश्न

Recently, the answers to 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 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 for 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 answer 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. This data represents question numbers.

Name Wrong Answer(s) Blank Answer(s)
A 45 -
B 96 46,90,25
C 2756 17,46,90
D 17 -
E 4690 -
F 1446 92,90
G 25 -
H 4692 -
I 27 17,26,90

How many people (excluding the mastermind) needed to make answer keys before C could make his answer key?

विकल्प

  • 2

  • 3

  • 4

  • 5

MCQ
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उत्तर

4

Explanation:

On the basis of given information, the following result can be obtained. Initially, mastermind obtained correct  answer key   
W.A. = Wrong answer   
B.A. = Blank answer 

(1) The result shows that A, D and G obtained the answer key from mastermind.   
(2) E and H obtained the answer key from A.   
(3) F obtained the answer key from both E and H.   
(4) I obtained the answer key from both E and D.   
(5) C obtained the answer key from I only.   
(6) B obtained the answer key from E and G.   
And about the wrong answer   
(1) A, D and G replaced the answers 46, 17 and 25 respectively.   
(2) H replaced the answer 92.   
(3) E replaced the answer 90.   
(4) F replaced the answer 14.   
(5) I replaced the answer 27.   
(6) C replaced the answer 56.   
(7) B replaced the answer 96. 

From persons I, E, A and D needed to make answer  keys before C could make his answer key.

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Problem Solving Ability (Entrance Exam)
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2014-2015 (May) Set 1

संबंधित प्रश्न

The question in this section is based on the passage. The question is to be answered on the basis of what is stated or implied in the passage. For the question, more than one of the choices could conceivably answer the question. However, you are to choose the best answer; that is, the response that most accurately and completely answer the question.

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(a) that no existing government is morally better than any other (since all are, in a sense, equally illegitimate), and

(b) that, lacking any moral obligation to obey any laws, people may do as they please without scruple. In fact, however, philosophical anarchism does not entail these claims.

First, the conclusion that no government is morally better than any other does not follow from the claim that nobody owes moral obedience to any government. Even if one denies that there is a moral obligation to follow the laws of any government, one can still evaluate the morality of the policies and actions of various governments. Some governments do more good than harm, and others more harm than good, to their subjects. Some violate the moral rights of individuals more regularly, systematically, and seriously than others. in short, it is perfectly consistent with philosophical anarchism to hold that governments vary widely in their moral stature.

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(v) E, the tallest pole, is exactly opposite to the Golden coloured pole.

(vi) The shortest pole is exactly opposite to the Metallic coloured pole.

(vii) F, the Black coloured pole, is located between A and D.

(viii) C, the Bronze coloured pole, is exactly opposite to A.

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Recently, the answers to 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 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 for 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 answer 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. This data represents question numbers.

Name Wrong Answer(s) Blank Answer(s)
A 45 -
B 96 46,90,25
C 2756 17,46,90
D 17 -
E 4690 -
F 1446 92,90
G 25 -
H 4692 -
I 27 17,26,90

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