Question:
How many persons have watched the cricket match yesterday?
Statements:
(I) In all, 1215 passes were sold yesterday.
(II) Each entry pass holder can take up to four persons with him.
How many persons have watched the cricket match yesterday?
Statements:
(I) In all, 1215 passes were sold yesterday.
(II) Each entry pass holder can take up to four persons with him.
Show Hint
Words like “up to” indicate a range, not an exact number. Such statements usually do not provide sufficient data.
Updated On: Jul 15, 2026
- Statement (I) alone is sufficient to answer the question, but (II) alone is not sufficient.
- Statement (II) alone is sufficient to answer the question, but (I) alone is not sufficient.
- Both the statements (I) and (II) are sufficient to answer the question, but neither statement alone is sufficient.
- Both the statements (I) and (II) together are not sufficient to answer the question and additional data are required.
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The Correct Option is D
Solution and Explanation
Concept:
To find the exact number of persons who watched the match, we need exact attendance data.
If only maximum capacity per pass is given, the total cannot be fixed.
Step 1: Checking Statement (I).
Given: \[ 1215 \text{ passes were sold} \] But this only gives the number of pass holders. We do not know how many additional persons came with each pass holder. So, Statement (I) alone is not sufficient.
Step 2: Checking Statement (II).
Given: Each pass holder can take up to 4 persons. This means one pass may represent: \[ 1,2,3,4,\text{ or }5 \text{ persons} \] But the number of passes sold is unknown. So, Statement (II) alone is not sufficient.
Step 3: Checking both statements together.
From Statement (I): \[ 1215 \text{ passes sold} \] From Statement (II): Each pass can allow at most: \[ 5 \text{ persons (including holder)} \] Thus total attendance can vary between: Minimum: \[ 1215 \] Maximum: \[ 1215 \times 5=6075 \] Since the exact number can vary, it cannot be uniquely determined. Hence, additional data are required.
Step 1: Checking Statement (I).
Given: \[ 1215 \text{ passes were sold} \] But this only gives the number of pass holders. We do not know how many additional persons came with each pass holder. So, Statement (I) alone is not sufficient.
Step 2: Checking Statement (II).
Given: Each pass holder can take up to 4 persons. This means one pass may represent: \[ 1,2,3,4,\text{ or }5 \text{ persons} \] But the number of passes sold is unknown. So, Statement (II) alone is not sufficient.
Step 3: Checking both statements together.
From Statement (I): \[ 1215 \text{ passes sold} \] From Statement (II): Each pass can allow at most: \[ 5 \text{ persons (including holder)} \] Thus total attendance can vary between: Minimum: \[ 1215 \] Maximum: \[ 1215 \times 5=6075 \] Since the exact number can vary, it cannot be uniquely determined. Hence, additional data are required.
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