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I think this is a high-quality question and I don't agree with the explanation. Question says " when x is divided by a, the remainder is b" so that would mean that x+b is divisible by a. So the option "x+b is divisible by a" is also correct
How did you come up with that conclusion? It's not true. You could test it yourself.
Say x = 5, a = 3, and b = 2. All conditions are satisfied:
\(x=5\) is divided by \(a=3\), the remainder is \(b=2\). \(x=5\) is divided by \(b=2\), the remainder is \(a-2=1\).
But x + b = 5 + 2 = 7, which is NOT divisible by a = 3.
I think this is a high-quality question and I don't agree with the explanation. I don't completely agree with the explanation. In the first line, the question says "when x is divided by a, the remainder is b" so using the basic division laws, x will be divisible by a when b is added (x + b will be divisible by a) So the option "x+b is divisible by a" is also correct.
Let me know if I am thinking in the wrong direction
I think this is a high-quality question and I don't agree with the explanation. I don't completely agree with the explanation. In the first line, the question says "when x is divided by a, the remainder is b" so using the basic division laws, x will be divisible by a when b is added (x + b will be divisible by a) So the option "x+b is divisible by a" is also correct.
Let me know if I am thinking in the wrong direction
That's not true.
For example, x = 1, a = 5 and b = 1.
x = 1 divided by a = 5 gives the remainder of b = 1 but x + b = 2 is NOT divisible by a = 5.
_________________
It would have been correct had the option said x-b is divisible by a. You need to subtract the remainder from the dividend in order to make it divisible by the quotient.
If u add the remainder to the dividend, it does not become perfectly divisible. Eg: If u have 12/5...... The Quotient is 2 and Remainder is 2. If u add 2 to 12 i.e 14/5 is still not divisible. Hence that analogy is incorrect. If u subtract the remainder from the Dividend i.e 12-2 then the result will be perfectly divisible.
I think this is a high-quality question and I don't agree with the explanation. Question says " when x is divided by a, the remainder is b" so that would mean that x+b is divisible by a. So the option "x+b is divisible by a" is also correct
Incorrect approach stated.
Example: 10/3 ---> quotient is 3 and remainder is 1
close
