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There are n number of oranges in a basket,if we arrange them in 2s - 1 is remaining,3s - 2 is remaining,4s - 3 is remaining,5s - 4 is remaining,6s - 5 is remaining,7s - 0 is remaining. What is the total number of oranges in the basket?

There are n number of oranges in a basket,if we arrange them in 2s - 1 is remaining,3s - 2 is remaining,4s - 3 is remaining,5s - 4 is remaining,6s - 5 is remaining,7s - 0 is remaining. What is the total number of oranges in the basket?

Grade:11

1 Answers

Arun
25757 Points
4 years ago
Dear student
 
if divided by 2, 1 is left i.e. last digit of n = odd
fi divided by 5, 4 is left i.e. last digit of n = 4 or 9
 
hence last digit of n = 9
 
now 
 
if divided by 3, 2 is left i.e. sum of other digits in single digit of n = 2
 
Now use hit and trial that
 
table of 7 in which 9 comes in end
 
49   X
119, it is correct
 
hence 
 
n = 119

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