Correct Option
Statements 1, 2, and 3 are all incorrect.
Incorrect Options
The problem states a total bill of ₹ 1,840 is paid using 50 notes in denominations of ₹50, ₹20, and ₹10. Each statement is evaluated for its consistency with these conditions.
Statement 1 Analysis:
- If 25 notes of ₹50 are used, the value contributed is 25 × 50 = ₹ 1,250.
- The remaining amount required is 1840 - 1250 = ₹ 590.
- The remaining number of notes is 50 - 25 = 25 notes.
- These 25 notes must be in ₹20 and ₹10 denominations. The maximum value obtainable from 25 notes of ₹20 and ₹10 occurs if all 25 notes are ₹20, yielding 25 × 20 = ₹ 500.
- Since ₹590 is needed but only a maximum of ₹500 can be generated from the remaining notes, Statement 1 is incorrect.
Statement 2 Analysis:
- If 35 notes of ₹20 are used, the value contributed is 35 × 20 = ₹ 700.
- The remaining amount required is 1840 - 700 = ₹ 1,140.
- The remaining number of notes is 50 - 35 = 15 notes.
- These 15 notes must be in ₹50 and ₹10 denominations. The maximum value obtainable from 15 notes of ₹50 and ₹10 occurs if all 15 notes are ₹50, yielding 15 × 50 = ₹ 750.
- Since ₹1,140 is needed but only a maximum of ₹750 can be generated from the remaining notes, Statement 2 is incorrect.
Statement 3 Analysis:
- If 20 notes of ₹10 are used, the value contributed is 20 × 10 = ₹ 200.
- The remaining amount required is 1840 - 200 = ₹ 1,640.
- The remaining number of notes is 50 - 20 = 30 notes.
- These 30 notes must be in ₹50 and ₹20 denominations. The maximum value obtainable from 30 notes of ₹50 and ₹20 occurs if all 30 notes are ₹50, yielding 30 × 50 = ₹ 1,500.
- Since ₹1,640 is needed but only a maximum of ₹1,500 can be generated from the remaining notes, Statement 3 is incorrect.
As all three statements (1, 2, and 3) are found to be inconsistent with the given conditions, they are all not correct. Therefore, the option indicating that statements 1, 2, and 3 are not correct is the appropriate answer.