The following table shows marks obtained out of 100 by Maria and Shehnaz in five subjects :
| Subject | Maria | Shehnaz |
|---|---|---|
| English | 74 | 81 |
| Maths | 88 | 78 |
| Social Science | 65 | 77 |
| Hindi | 73 | 72 |
| Science | 90 | 82 |
Based on the table above identify the correct statement from among the following :
Correct Answer :
The aggregate marks of Maria and Shehnaz are equal.
Solution :
To identify the correct statement, let us analyze the data given in the table for Maria and Shehnaz across all five subjects.
Step 1: Calculate the total (aggregate) marks obtained by Maria:
Step 2: Calculate the total (aggregate) marks obtained by Shehnaz:
Step 3: Evaluate the options based on the data:
1. Maria has scored more marks than Shehnaz in all the subjects except the languages: In Maths (88 vs 78) and Science (90 vs 82), Maria scored more. In Social Science (65 vs 77), which is not a language, Shehnaz scored more. Thus, this statement is false.
2. Maria has scored more marks than Shehnaz in only two subjects: Maria scored higher in Maths (88 > 78), Hindi (73 > 72), and Science (90 > 82). That makes 3 subjects, so this statement is false.
3. Shehnaz’s aggregate marks in Maths and Science are more than Maria’s aggregate marks in these subjects:
- Shehnaz in Maths + Science = 78 + 82 = 160
- Maria in Maths + Science = 88 + 90 = 178
Maria scored more, so this statement is false.
4. The aggregate marks of Maria and Shehnaz are equal: Both Maria and Shehnaz scored a total aggregate of 390 marks out of 500. Therefore, this statement is true.
Hence, the correct statement is: The aggregate marks of Maria and Shehnaz are equal.
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