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Deepika had four papers in her matriculation exam- English, Hindi, Social Studies and Science each carrying a maximum of $100$ marks. Her uncle offered her a Paulo Coelho book as a present if she got $60\%$ or more in both English and Social Studies, provided she got an aggregate of at least $200$. He also offered her a Harry Potter book as a present if she got $60\%$ or more in both Hindi and Social Studies provided she got an aggregate of at least $200$ (Deepika was eligible for both the presents). As it turned out, Deepika got the Paulo Coelho book  but not the Harry Potter book. If she scored $64$ in both English and Social Studies, the minimum that she got in Science was.

1. $36$
2. $56$
3. $22$
4. $13$
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Option D. 13

Total 400

Minimum she must have scored = 200 [ given Deepika got the Paulo Coelho book ]

English + Social Studies = 64 + 64 = 128

Hindi = 59 [ She din not get Harry Potter book and it should be maximum in order to make minimum in Science ]

Science = 200 – (128 + 59) = 13

by (134 points) 2 7