Multiple choice

Priya had scored average 60% in four subject's viz. History, Geography, Maths and English. She had passed in all subjects, the passing percentage required is 35% for each subject. If she had scored 25% more in Maths in which she had scored the highest, then her average percentage would have increased by 4.5 percentage in each subject. What can be the minimum mark she can get in the History in which she scored the second highest mark? (Each subject had total maximum marks of 200 and in no subject she has scored fractional value.)

  1. 105

  2. 113

  3. 118

  4. 138

  5. 136
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B Correct answer
Explanation

Total marks = 4 × 200 = 800. Average 60% means total = 480. If Maths increases by 25%, new total increases by 4.5 × 4 = 18 marks. So 0.25 × M = 18, giving M = 72. After increase, M = 90. H + G + E = 480 - 72 = 408. After M increases to 90, H + G + E = 480 - 90 = 390. Since H is second highest and we want minimum H: set E = 146 (max possible below 90), then G + H = 244. For minimum H with H > G, let G = 131, H = 113.

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