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Easyaverage

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Who has the highest average?

Marks out of 100 in four subjects:

StudentMathsPhysicsChemistryEnglish
Aditi88769271
Bhavesh74856880
Chirag91907965
Divya66728488

Which student has the highest average across the four subjects?

Show the answer and the worked solution

Correct answer: B.

Aditi

Worked solution

  1. Aditi: 88 + 76 + 92 + 71 = 327
  2. Bhavesh: 74 + 85 + 68 + 80 = 307
  3. Chirag: 91 + 90 + 79 + 65 = 325
  4. Divya: 66 + 72 + 84 + 88 = 310

Every student sat the same four subjects, so the highest total is also the highest average. Aditi leads Chirag by two marks.

Answer: Aditi.

The idea

When every row has the same number of entries, compare totals and skip the division entirely.

Shortcut. Subtract 80 from every mark and add the differences: Aditi +7, Chirag +5, Divya −10, Bhavesh −13. Aditi leads without any full totals.

Common trap. Chirag tempts with the two highest single marks in the table (91 and 90), but his 65 in English costs him; his total of 325 is two short of Aditi's 327.

Who has the highest average? — Aptitude Question

Who has the highest average?: Marks out of 100 in four subjects: | Student | Maths | Physics | Chemistry | English… Answer and worked solution on CodeKairo.

Question

Marks out of 100 in four subjects:

StudentMathsPhysicsChemistryEnglish
Aditi88769271
Bhavesh74856880
Chirag91907965
Divya66728488

Which student has the highest average across the four subjects?

Options

  1. Divya
  2. Aditi
  3. Bhavesh
  4. Chirag
Show the answer and the worked solution

Correct answer: B. Aditi

Worked solution

  1. Aditi: 88 + 76 + 92 + 71 = 327
  2. Bhavesh: 74 + 85 + 68 + 80 = 307
  3. Chirag: 91 + 90 + 79 + 65 = 325
  4. Divya: 66 + 72 + 84 + 88 = 310

Every student sat the same four subjects, so the highest total is also the highest average. Aditi leads Chirag by two marks.

Answer: Aditi.

The idea

When every row has the same number of entries, compare totals and skip the division entirely.

Shortcut. Subtract 80 from every mark and add the differences: Aditi +7, Chirag +5, Divya −10, Bhavesh −13. Aditi leads without any full totals.

Common trap. Chirag tempts with the two highest single marks in the table (91 and 90), but his 65 in English costs him; his total of 325 is two short of Aditi's 327.

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