Data Sufficiency

Directions to SolveIn each of the following problems, there is one question and three statements I, II and III given below the question. You have to decide whether the data given in the statements is sufficient to answer the question. Read all the statements carefully and find which of the statements is/are sufficient to answer the given question. Choose the correct alternative in each question.

Q1: 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

B Only I and II

C Only II and III

D All I, II and III

E Only II and either I or III

ANS:E - Only II and either I or III

Explanation: 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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