sunita took some tamarind seeds . she made groups of five with them, and found that one seed was left over. she tried making groups of six and groups of four. each time one seed was left over .what is the smallest number of seeds that sunita had
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Answer:
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the amswer is 61
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The smallest number of seeds Sunita had is 61
GIVEN:
Five, six, and four groups of seeds.
Number of seeds left out every time = 1
TO FIND:
The smallest number of seeds Sunita had.
SOLUTION:
We can simply solve the problem as under -
It is given that 3 groups of seeds were formed-
- One group has 4 seeds.
- One group has 5 seeds.
- one group having 6 seeds.
Number of seeds left out every time = 1
To find the smallest possible number of seeds, we need to take out the L.C.M of 4,5, and 6 and add 1 to it.
L.C.M of 4,5 and 6 =
LCM = 2×2×3×5
= 60
The smallest possible number of seeds Sunita had is 60+1 = 61
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