GATE CE 2014 Set 2 — Question 6
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General Aptitude → Analytical Aptitude → Numerical Relations & Reasoning
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Question
In a group of four children, Som is younger to Riaz. Shiv is elder to Ansu. Ansu is youngest in the group. Which of the following statements is/are required to find the eldest child in the group?Statements
1.Shiv is younger to Riaz.
2.Shiv is elder to Som.
Correct answer
(A) Statement 1by itself determines the eldest child.
Solution
Given information:
Combined with and , this makes Riaz the eldest. So, Statement 1 alone is sufficient.Statement 2: Shiv is elder to Som ().
This gives and . We still cannot determine if Shiv or Riaz is the eldest.Therefore, Statement 1 alone is sufficient to determine the eldest child.
1.Som is younger to Riaz:
2.Shiv is elder to Ansu:
3.Ansu is the youngest: , ,
From these, we have the partial order: and . To find the eldest, we need to compare Riaz and Shiv.Statement 1: Shiv is younger to Riaz ().Combined with and , this makes Riaz the eldest. So, Statement 1 alone is sufficient.Statement 2: Shiv is elder to Som ().
This gives and . We still cannot determine if Shiv or Riaz is the eldest.Therefore, Statement 1 alone is sufficient to determine the eldest child.
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