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1. Question 1: What is the remainder when 16³ + 17³ + 18³ + 19³ is divided by 70?
   Answer and Explanation
   
   
2. Question 2: If 3 students are made to sit in a row, then 9 students do not have a seat. Alternatively, if 9 students are made to sit in a row, then 5 rows are empty. How many students have to be seated in a row so that an equal number of students sit in all the rows and all the students are seated?
   Answer and Explanation
   
   
3. Question 3: Which of the following is the smallest positive integer that when divided by 4, 6 and 8 leaves a remainder of '2' in each case, but is perfectly divisible by 37?
   Answer and Explanation

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