The question given below consists of two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statement and answer the question.

Six persons T, U, V, W, X and Y has seminar on two different days i.e., 14th and 17th of three different months i.e., May, June and July of the same year, but not necessarily in the same order. Who has the seminar on 17th June?

Statement I: U has seminar on 17th of the month which has odd number of days. Two persons has seminar between U and Y. No one has seminar before W. One person has seminar between T and X.

Statement II: T has seminar on 17th. T has seminar just before Y. As many persons has seminar before V as after T. V has seminar after T.

Solution

From statement I alone, U has seminar on 17 th of the month which has odd number of days. Two persons has seminar between U and Y. No one has seminar before W. One person has seminar between T and X. We get Case 1: When U has seminar on 17th May. Case 2: When U has seminar on 17th July. Either T or X has seminar on 17 th June. Data given in statement I alone is not sufficient to answer the given question. From statement II alone, T has seminar on 17th. T has seminar just before Y. As many persons has seminar before V as after T. V has seminar after T. We get, Either U or V or W has seminar on 17th June. Data given in statement II alone is not sufficient to answer the given question. From statement I and II together, we get X has seminar on 17th June. Therefore, data given in statement I and II together is sufficient to answer the given question.