Question
Download Solution PDFA man has a certain number of small gifts to pack into parcels. If he packs 3, 4, 5 or 6 numbers of gifts in a parcel, he is left with one, if he packs 7 gifts in a parcel, then he will be left with none. Then, what is the minimum number of total gifts, he may have to pack?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF
Concept Used
To find the LCM of numbers are given and find that number which is divide by another number
Calculation
We know that, the required number would be such that it leaves a remainder of 1 when divided by 3, 4, 5, or 6 and no remainder when divided by 7.
LCM of (3, 4, 5, 6) = 60
so, number in the form = 60x + 1
Now, consider the value of x to form a number, so that it leaves a remainder of 1 when divided by 3, 4, 5, or 6 and no remainder when divided by 7.
⇒ for, x = 5
Number = 60 × 5 + 1 = 301
∴ 301 is divisible by 7
Last updated on Jun 12, 2025
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