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Direction to solve :
Directions: Refer to the following statements and answer the questions
Seven students Priya, Ankit, Raman, Sunil, Tony, Deepak and Vicky take a series of tests. No two students get similar marks. Vicky always scores more than Priya. Priya always scores more than Ankit. Each time either Raman scores the highest and Tony gets the least or alternatively Sunil scores the highest and Deepak or Ankit scores the least.

01. If Sunil is ranked sixth and Ankit is ranked fifth, which of the following can be true?
A. Vicky is ranked first or fourth B. Raman is ranked second or third
C. Tony is ranked fourth or fifth D. Deepak is ranked third or fourth

Answer and Explanation

Answer: Deepak is ranked third or fourth

Explanation:
Vicky always scores more than Priya and Priya always scores more than Ankit. Thus, Vicky's rank is always numerically lower than Priya's and Priya's rank is always numerically lower than Ankit's.
Either of the following two situations take place. If Raman scores the highest, then Tony scores the least or if Sunil scores the highest, then Deepak or Ankit scores the least. Thus, if Raman is ranked 1st, then Tony is ranked 7th and if Sunil is ranked 1st, then either Deepak of Ankit is ranked 7th.

The question states that Sunil is ranked 6th and Ankit is ranked 5th.
Thus, Raman is ranked 1st and Tony is ranked 7th. So, the following situations are possible for ranks 2, 3 and 4.

2 Vicky, 3 Priya, 4 Deepak
or 2 Vicky, 3 Deepak, 4 Priya
or 2 Deepak, 3 Vicky, 4 Priya


Vicky can never be 1st, Raman will never be 2nd or 3rd, Tony is ranked 7th and hence, cannot be 4th or 5th. Deepak can be 3rd or 4th according to the above obtained conditions.

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02. If Raman gets the highest, Vicky should be ranked not lower than
A. second    B. third     
C. fourth    D. fifth

Answer and Explanation

Answer: fourth   

Explanation:
If Raman gets the highest, he will be ranked 1st.
Accordingly, Tony will be ranked 7th.
Now, Priya and Ankit are always ranked numerically higher than Vicky.
Hence, Vicky can never be ranked lower than 4th as if he is ranked 5th, then there will not be enough positions to accommodate both Ankit and Priya.

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03. If Raman is ranked second and Ankit is ranked first, which of the following must be true?
A. Sunil is ranked third  B. Tony is ranked third
C. Priya is ranked sixth  D. None of these

Answer and Explanation

Answer: None of these

Explanation:
The question states that Ankit's rank is 1st. This is not possible because he always scores less than Vicky and Priya.

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04. If Sunil is ranked second, which of the following can be true?
A. Deepak gets more than Vicky B. Vicky gets more than Sunil
C. Priya gets more than Raman D. Priya gets more than Vicky

Answer and Explanation

Answer: Deepak gets more than Vicky

Explanation:
If Sunil's rank is 2nd, then Raman's rank is 1st and Tony's rank is 7th.
Vicky's lowest numerical rank will be 3rd and so he will always get less than Sunil.
Raman is ranked 1st and so Priya will always get less than Raman.
Vicky scores more than Priya is given in the question data. Hence, by eliminating the options, we can conclude that it is possible for Deepak to get more than Vicky.

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05. If Victor is ranked fifth, which of the following must be true?
A. Sunil scores the highest B. Raman is ranked second
C. Tony is ranked third D. Ankit is ranked second

Answer and Explanation

Answer: Sunil scores the highest

Explanation:
If Vicky's rank is 5th, then Priya's rank is 6th and Ankit's rank is 7th. Hence, Sunil's rank is highest or Sunil scores the highest.

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