A question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and decide the appropriate answer. Question: Among 5 poles, W, O, K, G and Y each having a different height, which pole is the shortest? Statements: I. G is taller than only one pole. W is taller than O. II. G is taller than Y.
Both statements I and II together (and not statement I alone or statement II alone) are sufficient to answer the question.
Rank the poles from tallest (rank 1) to shortest (rank 5).
Statement I alone: G is taller than only one pole, so G is rank 4 and exactly one pole is shorter than G. W is taller than O, so W cannot be the shortest, but the shortest pole could be O, K or Y. So Statement I alone is not sufficient.
Statement II alone: G is taller than Y gives no information about W, O or K, so the shortest pole cannot be found.
Both together: G is rank 4 with only one pole shorter than it, and Y is shorter than G, so Y must be that pole, i.e. Y is rank 5, the shortest. So both statements together are needed and sufficient.
Check: a valid order is W, O, K, G, Y (or K, W, O, G, Y, etc.); in every order meeting both statements Y stays at rank 5, while dropping either statement allows a different shortest pole.
Hence, Both statements I and II together (and not statement I alone or statement II alone) are sufficient to answer the question.
Similar Questions
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Important Questions from Data Sufficiency
Consider two Statements and a Question:
Statement 1: Priya is 4 ranks below Seema and is 31 st from the bottom.
Statement 2: Ena is 2 ranks above Seema and is 37" from the bottom.
Question: What is Seema’s rank from the top in the class of 40 students ?
Which one of the following is correct in respect of the Statements and the Question ?
Consider two Statements and a Question:
Statement 1: Each of A and D is heavier than each of B, E and F, but none of them is the-heaviest.
Statement 2: A is heavier than D, but is lighter than C.
Question: Who is the heaviest among A,B,C, D and E?
Which one of the following is correct in respect of the Statements and the Question ?
Consider two Statements and a Question :
Statement-1 : The last day of the month is a Wednesday.
Statement-2 : The third Saturday of the month was the seventeenth day.
Question : What day is the fourteenth of the given month ?
Which one of the following is correct in respect of the Statements and the Question ?
Consider the Question and two Statements given below :
Question : Is xan integer?
Statement-1 : x / 3 is not an integer.
Statement-2 : 3 xis an integer.
Which one of the following is correct in respect of the Question and the Statements?
Consider the Question and two Statements given below:
Question : What is the age of Manisha?
Statement-1: Manisha is 24 years younger than her mother.
Statement-2 : 5 years later, the ages of Manisha and her mother will be in the ratio 3 : 5.
Which one of the following is correct in respect of the Question and the Statements?
