Re: k is a single digit positive integer such that the decimal number 4.kk
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07 Aug 2023, 08:40
OE
To rounding off the decimal number 4. ๐๐6 to the nearest tenth, we need to check
the hundredth digit which is ๐.
Now, as after rounding the decimal number 4. ๐๐6 to the nearest tenth, the number
has to be less than 4.6.
That means, 4. ๐๐6< 4.600
๐๐6< 600
๐<6
๐ โค 5, i.e. 0, 1, 2, 3, 4, 5
If ๐ = 5
The value of 4. ๐๐6 โ 4.556
And 4.556 is rounded off to nearest tenth, we need to check the hundredth digit
which is 5.
When, 4.556 is rounded off to nearest tenth.
But we want less than 4.6, so the value of k cannot be 5.
If ๐ = 4
The value of 4. ๐๐6 โ 4.446
And 4.446 is rounded off to nearest tenth, we need to check the hundredth digit
which is 4.
When, 4.446 is rounded off to nearest tenth.
So, we have less than 4.6, so the value of k can be 4.
Similarly, If ๐ = 3
The value of 4. ๐๐6 โ 4.336
And 4.336 is rounded off to nearest tenth, we need to check the hundredth digit
which is 3.
{Rule of rounding off says, if hundredth digit belongs to 0,1,2,3,4 we write the same
number at tenth place or it belongs to 5,6,7,8,9 we write the next number at tenth
place, rest all numbers towards right as zero.}
When, 4.336 is rounded off to nearest tenth.
So, we have less than 4.6, so the value of k can be 3.
Similarly, we can check with 2, 1 or 0
Quantity A
So, ๐ can be 4, 3, 2, 1, 0
Quantity B
4
As ๐ โค 4, thus Quantity A might be equal to Quantity B, or might be lesser as well.
Hence no relationship can be made.
D si the answer