Question

Sunita took some tamarind (imli) 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 1

Explanation:

Sunitha 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 sunitha had?

Okay, we’re looking for a number that is one more than a multiple of four, one more than a multiple of five, and one more than a multiple of six.

The easiest way to do that would be to find a number that’s a multiple of four, five, AND six, and add one. For example, 4x5x6 = 120. Add one, to get 121, and we indeed would have one left over if we split it into groups of four, five, or six.

But we’re looking for the smallest such number. Can we do better?

We can generate the least common multiple of 4, 5, and 6. Their prime factorizations are 2x2, 5, and 2x3 — so let’s look at 2x2x3x5, which is 60. So 61 would also work.

Can we do better? I don’t think so.

hope it helps you

❤✌

Answer 2

Given:

Groups of four, five, and six is being created by Sunita in which in every time one seed remains intact.

So, from the given information we can now calculate the LCM of 4, 5, 6 and add 1 to the LCM.

LCM of 4, 5, and 6 is 60

Adding 1 to the LCM we get, 61

Therefore:

The smallest number of seeds that Sunita had is 61.