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 tallest? Statements: I. K is taller than only one pole. G is shorter than O but taller than W. 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 five poles from shortest (1st) to tallest (5th). Statement I: K is taller than only one pole, so K is 2nd from the shortest; also O > G > W.
Statement I alone: Y is not placed. For example, W < K < G < O < Y and W < K < G < Y < O (or Y < K < W < G < O) all fit, giving Y or O as tallest, so Statement I alone is not sufficient.
Statement II alone: only G > Y is known, which says nothing about the tallest of five poles, so Statement II alone is not sufficient.
Both together: G is taller than W and Y, so G is taller than at least two poles and cannot be 1st or 2nd; K is 2nd and taller than only one pole, so G is also above K. So K is 2nd, W and Y fill the 1st and 3rd places, G is 4th from the shortest, and O, which is taller than G, is 5th, i.e. the tallest.
| Rank (shortest to tallest) | 1st | 2nd | 3rd | 4th | 5th |
| Pole | W/Y | K | Y/W | G | O |
Check: whichever of W and Y is shortest, every condition holds (K above exactly one pole, W < G < O, Y < G), and in every such case O is on top, so the two statements together fix the tallest pole while neither does alone.
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.
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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?
