A school awarded 42 medals in hockey, 18 in basketball and 23 in cricket. If these medals were bagged by a total of 65 students and only 4 students got medals in all the three sports, how many students received medals in exactly two of the three sports?
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There remain 10 medals and were given to 10 students and hence these 10 students get 2 each. 4*3 + n * 2 + ( 65 -4-n)* 1 = 83. Answer is 10. Total people =65 but total medals = 83.
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