A question is given, followed by two statements labelled I and II. Identify which of the statements is/are sufficient to answer the question. Among H, I, J, K, and L, who is the tallest? (I) J is taller than H and I but shorter than K. (II) L is shorter than K but taller than J.
Both statements I and II together (and not statement I alone or statement II alone) are sufficient to answer the question
In a data-sufficiency question we do not need to find the full order — only whether the given statements let us identify the tallest among H, I, J, K and L. The method is to test each statement alone first, and only then test them together, writing the comparisons as inequalities (using > for "taller than").
Statement I: "J is taller than H and I but shorter than K." This gives K > J > H and K > J > I, i.e. the chain K > J > (H, I). Here K is taller than J, H and I — but this statement says nothing about L. L could be taller than K or shorter, so we cannot be sure who is tallest. Statement I alone is not sufficient.
Statement II: "L is shorter than K but taller than J." This gives K > L > J. This tells us K beats L and J, but it says nothing about H and I, either of whom might be taller than K. Statement II alone is not sufficient.
Combining I and II: From I, K > J > H and K > J > I; from II, K > L > J. Putting them together, everyone — L, J, H and I — is shorter than K:
K > L > J > (H, I)
So K is the tallest. This conclusion needs both statements: Statement I supplies K's superiority over J, H and I, while Statement II is needed to place L below K. Neither statement alone covers all four rivals. Therefore the correct answer is that both statements together (and not either one alone) are sufficient.
Similar Questions
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(D) Both statements I and II together are necessary to answer the question.
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?
