In this question, 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: Five friends – Gautam, Hiral, Ivaan, Jivika and Keshav – are of different ages. Who is the youngest? Statements: (I) Gautam is older than Hiral but younger than Jivika. (II) Hiral is older than Ivaan, and Keshav is older than Gautam.
Both statements I and II together (and not statement I alone or statement II alone) are sufficient to answer the question
Statement I alone: Jivika > Gautam > Hiral. Nothing is said about Ivaan or Keshav, so either of them could be younger than Hiral. The youngest cannot be fixed, so statement I alone is not sufficient.
Statement II alone: Hiral > Ivaan and Keshav > Gautam. There is no link between the two pairs and Jivika is not mentioned, so the youngest cannot be fixed. Statement II alone is not sufficient.
Both together: Jivika > Gautam > Hiral > Ivaan, and Keshav > Gautam, so Keshav > Gautam > Hiral > Ivaan as well. Every one of the other four friends is older than Ivaan.
Therefore Ivaan is the youngest, and this can be determined only when both statements are used together.
Check: Ivaan appears only in statement II, so statement I alone cannot name him; and statement II alone gives no relation between Ivaan and Gautam, Jivika or Keshav, so the combination is genuinely required.
Hence, Both statements I and II together (and not statement I alone or statement II alone) are sufficient to answer the question.
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Important Questions from Data Sufficiency
Consider two Statements and a Question:
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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?
