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If no one switched from Gurumath to Edustar at the beginning of August and atleast one person switched to Gurumath at the beginning of August, what is the minimum number of people who should have switched out of Matonline at the beginning of August?


Options:
A .   7
B .   9
C .   10
D .   3
Answer: Option C
:
C

3 students moved out of Edustar in the beginning of August, and the total people tutoring at Edustar in August has increased to 36. So, atleast 9 students have shifted to Edustar atthe beginning of august. The one addition to Gurumath could have been from Edustar or Matonline.


CASE 1- If it had been from Matonline, then 9 students have switched to Edustar at the beginning of August. As none shifted to Edustar from Gurumath,the entire 9 should have shifted out of Matonline and one person who shifted to Gurumath should have also been from Matonline, so minimum=10


CASE 2- If the one addition to Gurumath had been from Edustar, then 4 students would have shifted out of Edustar and hence, 10 students should have shifted to Edustar at the beginning of  august. As none shifted from Gurumath to Edustar, a minimum of 10 people should have shifted out of Matonline.



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