Questions for: Data Sufficiency
Question: How is 'DATE' written in the code language ?
Statements:
- DEAR is written as $#@? in that code.
- TREAT is written as %?#@% in that code.
- TEAR is written as %#@? in that code,
Observing I, II and III, we find that similar letters have similar code symbols at the corresponding places in the code. So, this is direct-coding.
Thus, to find the code for DATE, we need the code for D which can be obtained from I only (i.e. $.) and the codes for A, T and E which can be obtained either from II or III (@, # and % respectively).
Question: Five persons - A, B, C, D and E are sitting in a row. Who is sitting in the middle?
Statements:
- B is between E and C.
- B is to the right of E.
- D is between A and E.
From I, the order is : E, B, C or C, B, E.
From II, the order is : E, B.
From III, the order is : A, D, E.
Combining the above three, we get the order as : A, D, E, B, C. Clearly, E is sitting in the middle.
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Question: What is Suman's rank from the top in a class of forty students ?
Statements:
- Suman is 3 ranks below Deepak from the top.
- Deepak's rank from the bottom is 23.
- Suman is 3 ranks above Deepak from the bottom.
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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Question: How is M related to N ?
Statements:
- B is the daughter of M and sister of Q.
- N is the son of K who is B's grandfather.
From II, we know that N is K's son and K is B's grandfather. Thus, N is the son of B's grandfather i.e. N is either father or uncle of B.
From I, B is the daughter of M. So, M is either father or mother of B.
Clearly, the correct relationship between M and N cannot be deduced.
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Question: How is R related to M ?
Statements:
- M's brother is husband of P.
- P is mother of R's sister.
From II, we conclude that P is R's mother.
From I, we conclude that M is the brother or sister of P's husband, who is also R's father. Thus, R is either nephew or niece of M.
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