UPSKILL MATH PLUS

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A company uses drones to deliver parcels to different locations. On the first day, the drone delivers \(1\) parcels, on the second day it delivers \(2\) parcels, on the third day it delivers \(3\) parcels, and so on. The company delivers a total of \(1035\) parcels over \(n\) days.
 
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Answer the following questions:

1. Determine the number of days \(n\) for which the total number of parcels delivered is \(1035\).
 


2. Find the number of parcels delivered on the last day.
 


3. If \(20\%\) of the total parcels records were duplicate entries, find the actual number of distinct grocery orders delivered.
 
 
4. Suppose the drone starts recording deliveries from the th day. The numbers of grocery orders delivered from the 11th day. If the total number of grocery orders delivered from the 11th day to the th day is \(1485\), obtain the number of grocery orders delivered on the last day.