OEAs on diving ๐ apples among an odd number of boxes with 5 apples in each box, 2
apples are left out. This implies that ๐ is an odd number which on dividing by 5
leaves a remainder 2.
Hence, using dividend, divisor, and remainder relationship; the possible values of ๐
will be;
๐ = (5 ร ๐๐๐) + 2
If, in the above equation, odd number = 1, ๐ = 7
If odd number = 3, ๐ = 17
If odd number = 5, ๐ = 27 and so on.
In each case, when number of apples 7, 17, 27, โฆ., divided by 10 remainder is 7.
Or, ๐ = (5 ร ๐๐๐) + 2 =
Or, ๐ = 5(2๐ + 1) + 2 (As odd numbers can be expressed as2๐ + 1 )
Or, ๐ = 10๐ + 5 + 2 = = 10๐ + 7
Now, if each box is filled with only 10 apples instead of 5, this implies that we need
to divide ๐ by 10. Hence when we divide ๐ by 10, we can see that the remainder will
be 7.
Ans. (7)
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