Question Details

The following table shows marks obtained out of 100 by Maria and Shehnaz in five subjects :

SubjectMariaShehnaz
English7481
Maths8878
Social Science6577
Hindi7372
Science9082

Based on the table above identify the correct statement from among the following :

Options

A

Maria has scored more marks than Shehnaz in all the subjects except the languages.

B

Maria has scored more marks than Shehnaz in only two subjects.

C

Shehnaz’s aggregate marks in Maths and Science are more than Maria’s aggregate marks in these subjects.

D

The aggregate marks of Maria and Shehnaz are equal.

Show Answer

Correct Answer :

Option D

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:

Maria's Total=74+88+65+73+90

Maria's Total=390


Step 2: Calculate the total (aggregate) marks obtained by Shehnaz:

Shehnaz's Total=81+78+77+72+82

Shehnaz's Total=390


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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