In an athletic event with N participants, if 1/5 could not complete 100 meter race within cut off time of 10 seconds. And of those who didnt clear 100 meter race within cut off time, 1/3 also did not qualify in long jump. How many athletes cleared both events ?
Choose the correct choice
A) N/15  B) 4N/15  C) 14N/15  D) N/5  E) 4N/5
1/5 did not clear running event, thus N/5 did not clear.   Of those who didnt clear running event, 1/3 also did not clear long jump event, thus 1/3*N/5 = N/15 had both not cleared both events.   Therefore, N - N/15 = 14N/15 cleared both events.   Answer: 14N/15.
<result>C</result>
In an athletic event with N participants, if 1/5 could not complete 100 meter race within cut off time of 10 seconds. And of those who didnt clear 100 meter race within cut off time, 1/3 also did not qualify in long jump. How many athletes cleared both events ?