You are given a question and three statements. Identify which of the statements is/ are necessary sufficient to answer the question:

Question:

In which year was Arti born?

Statements:

I. Aarti is six year older than Pranavi

II. Pranavi’s sister was born in 1982

III. Aarti’s sister is two years younger than Pranavi’s sister, who is eight years younger than Pranavi. 

This question was previously asked in
RRC Group D Previous Paper 33 (Held On: 3 Oct 2018 Shift 2)
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  1. Only II and III are sufficient
  2. Only I and III are sufficient 
  3. All I, II and III are necessary
  4. Only I is sufficient

Answer (Detailed Solution Below)

Option 3 : All I, II and III are necessary
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Detailed Solution

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According to the given statements,

Statement 1: Arti is six years older than Pranavi.

Statement 2: Pranavi’s sister was born in 1982

Statement 3: Arti’s sister is two years younger than Pranavi’s sister, who is eight years younger than Pranavi

Form statement 3, we can say that Arti’s sister was born in 1984 and Pranavi was born in 1974(from statement 2 Pranavi’s sister is 8 years younger than Pranavi)

From statement 1, Arti is six years older than Pranavi, so Arti was born in 1968

Hence, all the statements are required.

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