Question

How old is batsman A in years and month by January 2026? Statements: (I) A is not eligible to play in under 18 tournament in December, 2026. (II) A is eligible to play in the same tournament if it is held in September, 2026.

• 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:

In eligibility problems, use the cutoff age carefully and work backward to estimate the birth period.

Answer 1

The Correct Option is C

Concept: For an Under-18 tournament, a player must be below 18 years on the date of the tournament. To determine the exact age in January 2026, we need to identify the exact birth period.

Step 1: Checking Statement (I).
Given: A is not eligible in December 2026. This means by December 2026: \[ \text{Age of A} \geq 18 \] So A must have completed 18 years on or before December 2026. But exact birth month is unknown. Thus, Statement (I) alone is not sufficient.

Step 2: Checking Statement (II).
Given: A is eligible in September 2026. This means in September 2026: \[ \text{Age of A} < 18 \] So A has not yet completed 18 years by September 2026. Again, exact birth month is unknown. Thus, Statement (II) alone is not sufficient.

Step 3: Checking both statements together.
From Statement (I): By December 2026, A is at least 18. From Statement (II): By September 2026, A is still below 18. Thus, A must complete 18 years between: \[ \text{October 2026 and December 2026} \] So A’s birth must be between: \[ \text{October 2008 and December 2008} \] Hence, in January 2026, A’s age would be between: \[ 17 \text{ years } 1 \text{ month} \] and \[ 17 \text{ years } 3 \text{ months} \] This gives sufficient information to determine the age range. Hence, both statements together are sufficient.