Each of the questions below consists of a question and 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 both the statements and -
Give answer a: if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
Give answer b: if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
Give answer c: if the data either in Statement I alone or in Statement II alone are sufficient to answer the question.
Give answer d: if the data even in both Statements I and II together are not sufficient to answer the question.
Give answer e: if the data in both Statements I and II together are necessary to answer the question.
What is the position of O among 20 persons standing in a straight line ?
I. There are five persons between Y and L. L is at one of the extreme ends. T is sixth to the left of Y. There are three persons between O and T.
II. R is at one of the extreme ends of the line. There are two persons between O and J. There are nine persons between R and U. J is fourth to the left of U.
I : There are five persons between Y and L. L is at one of the extreme ends. T is sixth to the left of Y.
=> L is at extreme right end and Y is 7th from right end, hence T is 8th from left end.
There are three persons between O and T.
=> O is either 4th from left end or 12th from left end.
Thus, I alone is insufficient.
II : R is at one of the extreme ends of the line, => Let R is at the extreme left end.
There are nine persons between R and U, => U is 11th from left end.
J is fourth to the left of U, => J is 7th from left end.
There are two persons between O and J, => O is either 4th from left end or 10th from left end.
Thus, II alone is insufficient.
I & II : L and R are at extreme right and left end respectively.
Y is 14th from left end and T is 8th from left end.
Also, U is 11th from left end and J is 7th from left end.
=> O is 3rd to the left of J.
=> R _ _ O _ _ J T _ _ U _ _ Y _ _ _ _ _ L
Thus, O is 4th from left end.
$$\therefore$$ Both statements together are sufficient.
=> Ans - (E)
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