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There Are Few Items Which We Have To Put Items In Boxes. If 3 Items Put In Each Box, 1 Item Left Outside. If 4 Items Put In Each Box, 1 Item Left Outside. If 5 Items Put In Each Box, 1 Item Left Outside. If 6 Items Put In Each Box, 1 Item Left Outside. If 7 Items Put In Each Box, 0 Item Left Outside. How Many Number Of Item Are There?

Answer»

ANSWER is 301..

3 - 100 boxes - 1 left
4 - 75 boxes - 1 left
5 - 60 boxes - 1 left
6 - 50 boxes - 1 left
7 - 43 boxes - 0 left

SOLUTION:

3,4,5,6 - 1 left & 7 - 0 left - (ie) - least common multiple

of 3,4,5,6 + 1 which is divisible by 7.

the least common multiples are: 60,120,180,240,300

61 - not divisible by 7
121 - not divisible by 7
181 - not divisible by 7
241 - not divisible by 7
301 - divisible by 7

hence 301 is the answer

Answer is 301..

3 - 100 boxes - 1 left
4 - 75 boxes - 1 left
5 - 60 boxes - 1 left
6 - 50 boxes - 1 left
7 - 43 boxes - 0 left

Solution:

3,4,5,6 - 1 left & 7 - 0 left - (ie) - least common multiple

of 3,4,5,6 + 1 which is divisible by 7.

the least common multiples are: 60,120,180,240,300

61 - not divisible by 7
121 - not divisible by 7
181 - not divisible by 7
241 - not divisible by 7
301 - divisible by 7

hence 301 is the answer


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