Adithi_101
If a is a decimal, what is the unit digit of 10a? (A) When a is rounded to the unit’s place, the result is 3. (B) When a is rounded to the tenths place, the result is 3.5
A) a=c.xyz
If rounding gives us the result 3.
There are two possible cases:
c=2, and x>=5
OR
c=3, x<4
Consider the first case: if a=2.7, then 10a has the unitis digit 7
If instead, it were a=3.4 the digit is 4. Clearly insf.
2)
This tells us: a=3.xyz
Rounding up from the tenths digit. we get 3.5.
This means that either, x=4 and y>=5, or x=5 and y<5.
Two cases again. so insf.
3)
Putting the two together, there is only one possible the case. It must be that x=4, as rounding up from the units digit gives us 3, which means that we rounded down. 10a is therefore 34.yx, with units figit of 4.
Sufficient.