A question is given, followed by two statements labelled I and II. Decide which of the statements is/are sufficient/necessary to answer the question and select the correct answer. Question: Who is the shortest among Shamita, Tanya and Rekha? Statements: I. Shamita is taller than Rekha. Rekha is shorter than Tanya. II. Rekha is shorter than Surbhi. Surbhi is taller than Shamita. Tanya is shorter than Surbhi. (A) Statement I alone is sufficient to answer the question, whereas Statement II alone is not sufficient to answer the question. (B) Statement II alone is sufficient to answer the question, whereas statement I alone is not sufficient to answer the question. (C) Both statements I and II together are not sufficient to answer the question. (D) Both statements I and II together are necessary to answer the question.
A
To determine who is the shortest among Shamita, Tanya, and Rekha, we need to analyze the information given in the statements.
Statement I:
- Shamita is taller than Rekha.
- Rekha is shorter than Tanya.
From Statement I, we can deduce the following order based on height: \(Tanya > Rekha\) and \(Shamita > Rekha\). This means Rekha is shorter than both Shamita and Tanya. Therefore, Rekha is the shortest among the three.
Statement II:
- Rekha is shorter than Surbhi.
- Surbhi is taller than Shamita.
- Tanya is shorter than Surbhi.
From Statement II, we can establish: \(Surbhi > Shamita\), \(Surbhi > Tanya\), and \(Surbhi > Rekha\). However, Statement II does not provide any direct information about how Shamita, Tanya, and Rekha relate to each other in terms of height, except their individual relations with Surbhi.
Conclusion:
Statement I alone is sufficient to determine that Rekha is the shortest among Shamita, Tanya, and Rekha. Statement II, however, does not give enough information to determine the shortest individual among the three.
Thus, the correct answer is (A) Statement I alone is sufficient to answer the question, whereas Statement II alone is not sufficient to answer the question.
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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?
