Question:
How many runs are scored in today's T20 cricket match?
Statement (I): 120 runs were scored in yesterday's T20 match which is 10 lower than twice the number of runs scored today.
Statement (II): The number of runs scored yesterday is 45 more than the runs scored today.
How many runs are scored in today's T20 cricket match?
Statement (I): 120 runs were scored in yesterday's T20 match which is 10 lower than twice the number of runs scored today.
Statement (II): The number of runs scored yesterday is 45 more than the runs scored today.
Show Hint
Whenever a statement directly gives an equation involving the unknown quantity, check whether it can be solved uniquely.
Updated On: Jun 12, 2026
- Statement I alone is sufficient, but Statement II alone is not sufficient.
- Statement II alone is sufficient, but Statement I alone is not sufficient.
- Both statements together are sufficient, but neither statement alone is sufficient.
- Even both statements together are not sufficient.
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The Correct Option is A
Solution and Explanation
Concept:
A statement is sufficient if it leads to a unique numerical value of the required quantity.
Step 1: Analyze Statement (I). Let today's score be \(x\). According to the statement, \[ 120=2x-10. \] Adding 10: \[ 130=2x. \] Hence \[ x=65. \] A unique value is obtained. Statement (I) alone is sufficient.
Step 2: Analyze Statement (II). Yesterday's runs are 45 more than today's. \[ Y=x+45. \] Since \(Y\) is unknown, \(x\) cannot be found. Statement (II) alone is insufficient.
Step 1: Analyze Statement (I). Let today's score be \(x\). According to the statement, \[ 120=2x-10. \] Adding 10: \[ 130=2x. \] Hence \[ x=65. \] A unique value is obtained. Statement (I) alone is sufficient.
Step 2: Analyze Statement (II). Yesterday's runs are 45 more than today's. \[ Y=x+45. \] Since \(Y\) is unknown, \(x\) cannot be found. Statement (II) alone is insufficient.
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