The average marks of students in five subjects in class X in a school is given in the table.
|
Year |
History (out of 200 marks) |
Geography (out of 100 marks) |
Mathematics (out of 200 marks) |
Science (out of 200 marks) |
English (out of 150 marks) |
|
1984 |
88 |
46 |
94 |
98 |
60 |
|
1985 |
90 |
35 |
88 |
120 |
90 |
|
1986 |
100 |
45 |
112 |
102 |
66 |
|
1987 |
120 |
38 |
96 |
112 |
45 |
|
1988 |
124 |
54 |
80 |
96 |
57 |
The average percentage marks of which of the following pairs of subjects was the same in 1985?
Answer & explanation
Correct answer: option 3
Solving one by one for each option :-
1. Geography, Mathematics
Average %age Marks obtained in Geography
= \(\frac{35}{100}\) = 0.35
Average %age Marks obtained in Mathematics
= \(\frac{88}{200}\) = 0.44
Not equal
2. Science, Geography
Average %age Marks obtained in Science
= \(\frac{120}{200}\) = 0.6
Average %age Marks obtained in Geography
=\(\frac{35}{100}\)= 0.35
Not equal
3. Science, English
Average %age Marks obtained in Science
= \(\frac{120}{200}\) = 0.6
Average %age Marks obtained in English
=\(\frac{90}{150}\)= 0.6
Average percentage marks of Science, English are equal.
4. English, Mathematics
Average %age Marks obtained in English
=\(\frac{90}{150}\)= 0.6
Average %age Marks obtained in Mathematics
= \(\frac{88}{200}\) = 0.44
Not equal.
Ans = Science, English