Question

In which year Ramana was born? (Assume the current year as 2026) Statements: (I) The difference between the ages of Kamala and Ramana is 5 years. (II) Kamala is 22 years old now.

• A. Statement (I) alone is sufficient to answer the question, but (II) alone is not sufficient.
• B. Statement (II) alone is sufficient to answer the question, but (I) alone is not sufficient.
• C. Both the statements (I) and (II) are sufficient to answer the question, but neither statement alone is sufficient.
• D. Both the statements (I) and (II) together are not sufficient to answer the question and additional data are required.

Hint:

When only age difference is given, always check both possibilities: older or younger.

Answer 1

The Correct Option is D

Concept: To find the birth year of Ramana, we need Ramana’s exact present age. Birth year is calculated as: \[ \text{Birth Year} = \text{Current Year} - \text{Present Age} \]

Step 1: Checking Statement (I).
Given: \[ \text{Age difference between Kamala and Ramana} = 5 \text{ years} \] But we do not know who is older. Possible cases: \[ R=K+5 \] or \[ R=K-5 \] So Ramana’s age is not uniquely determined. Thus, Statement (I) alone is not sufficient.

Step 2: Checking Statement (II).
Given: \[ K=22 \] This gives only Kamala’s age. No information about Ramana. Thus, Statement (II) alone is not sufficient.

Step 3: Checking both statements together.
From Statement (I): Age difference is 5 years. From Statement (II): \[ K=22 \] Possible cases: If Ramana is older: \[ R=27 \] Birth year: \[ 2026-27=1999 \] If Ramana is younger: \[ R=17 \] Birth year: \[ 2026-17=2009 \] Two possible birth years exist. Thus, exact birth year cannot be determined. Hence, additional data are required.