Question 17
MediumOriginal questionThe table shows the marks, out of 100, that five students scored in three subjects.
| Student | Maths | Science | English |
|---|---|---|---|
| Aarav | 72 | 65 | 80 |
| Meenakshi | 88 | 74 | 69 |
| Gurpreet | 64 | 90 | 77 |
| Fatima | 80 | 83 | 71 |
| Tenzin | 91 | 68 | 62 |
By how many marks would Aarav's English score have to rise for his average over the three subjects to equal Fatima's?
Show the answer and explanation
CorrectNot quiteAnswer D
Correct answer: D
Explanation
Equal averages over the same three subjects means equal totals.
Fatima's total: 234. Aarav's total: 217.
Aarav's English mark must rise by (from 80 to 97).
Worth noting
6 adds only the gap between the two averages (about 5.7); a rise of 6 in one mark lifts the average by just 2. 14 would match Meenakshi's average, not Fatima's. 3 is the gap between Fatima's and Meenakshi's totals.
- Concept
- Equal averages mean equal totals
- Typical timeTypical
- 80 s
- Your timeYours
- —
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