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Question

What is Suman's rank from the top in a class of forty students ?
Statements:
1. Suman is 3 ranks below Deepak from the top.
2. Deepak's rank from the bottom is 23.
3. Suman is 3 ranks above Deepak from the bottom.

A
Any two of the three
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B
Only I and II
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C
Only II and III
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D
All I, II and III
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E
Only II and either I or III
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Solution

The correct option is E Only II and either I or III
From II, we conclude that in a class of 40, Deepak ranks 23rd from the bottom i.e. 18th from the top.
From I and II, we find that Suman is 3 ranks below 18th rank from the top i.e. she ranks 21st from the top.
From II and III, we find that Suman is 3 ranks above 23rd rank from the bottom
i.e. she ranks 20th from the bottom or 21st from the top.

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