BTGmoderatorDC wrote: ↑Tue Jan 19, 2021 4:35 pm
What is the remainder when x is divided by 6?
(1) x is divisible by 1,005,879
(2) x is divisible by 1,234,890
OA
B
Source: Veritas Prep
Statement 1:
\(x\) is divisible by \(1,005,879\)
\(1005,879\) is not divisible by \(2.\)
but it is divisible by \(3 (1+0+0+5+8+7+9=30 )\)
\(\Rightarrow\) if \(x =2\cdot 1,005,879,\) then \(x\) is divisible by \(6\) (remainder will be zero)
\(\Rightarrow\) if \(x =3\cdot 1,005,879,\) then \(x\) is not divisible by \(6\) (remainder will be \(3\))
Not Sufficient \(\Large{\color{red}\chi}\)
Statement 2:
\(x\) is divisible by \(1,234,890\)
\(1,234,890\) is EVEN number \(\Rightarrow\) divisible by \(2.\)
\(1+2+3+4+8+9+0= 27 \Rightarrow\) divisible by \(3\)
\(\Rightarrow 1,234,890\) is divisible by \(6 \Rightarrow x\) is multiple of \(1,234,890\)
Sufficient \(\Large{\color{green}\checkmark}\)
Therefore,
B
