Exercise :: Data Sufficiency  Section 3
 Data Sufficiency  Section 1
 Data Sufficiency  Section 2
 Data Sufficiency  Section 3
In 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.
6.  Question: In a certain code, 'XYZ' means 'We are friends'. Which letter stands for 'We' ? Statements:


Answer: Option E Explanation: To find the code for 'we', we need to have any of the following: (i) 'We are friends' should have only 'We' common with another statement, as in II; (ii) 'We are friends' should have only 'are' and 'friends' common with another single or two statements, as in I and III. Thus, we need Either II only or I and III only. 
7.  Question: Among P, Q, R, S and T, Q is the second tallest and S is immediate taller than the shortest. Who among them is in the middle when they stand in the order of their heights ? Statements:


Answer: Option B Explanation: From the given statement, the descending order of heights is :__, Q,__, S,__. From II, we have the order: _, Q, R, S,__. Thus, R is in the middle. From III, we have the order : P, Q,__, S,__. But, according to I, T is not the shortest. So, R is the shortest. Thus, we have the order : P, Q, T, S, R. So, T is in the middle. 
8.  Question: Four subjects  Physics, Chemistry, Mathematics and Biology  were taught in four consecutive periods of one hour each starting from 8.00 a.m. At what time was the Chemistry period scheduled ? Statements:


Answer: Option E Explanation: From I and II, we conclude that Mathematics period began at 9.00 a.m., Biology period began at 8.00 a.m. and Physics period began at 11 a.m. So, the Chemistry period began at 10.00 a.m. From I and III, we conclude that Mathematics period ended and Chemistry period began at 10.00 a.m. 
9.  Question: What is the total monthly salary of Vasu ? Statements:


Answer: Option E Explanation: From III, we have: Rajan's basic salary = Rs. 1550. From I, we have: Vasu's basic salary = Rs. (1550 + 100) = Rs. 1650. From II, we have: Rajan's other allowances = Rs. 2000 and Vasu's other allowances = Rs. 2050. Therefore Vasu's monthly salary = Rs. (1650 + 2050) = Rs. 3700. 
10.  Question: Who is the tallest among six boys P, T, N, D, Q and R ? Statements:


Answer: Option A Explanation: From I, we have: P > D, P > N, T > P i.e. T > P > D > N or T > P > N > D ...(i) From II, we have: R > Q, T > R i.e. T > R > Q ...(ii) From III, we have: T > Q, R > Q ...(iii) Clearly, from (i) and (ii), we conclude that T is taller than each one of P, N, D, R and Q. So, T is the tallest. 