2005
Mathematics
67ca00ce0c643c71d77dee1f
If 3214 is divided by 234 and leaves a remainder r, what is the value of r?
A.
zero
B.
1
C.
2
D.
3
Correct Answer: 2
Explanation
〖321〗4/〖234 =((3×42)+(2×41)+(1×40))/((2×40)+(3×40))=(3×16+2×4+1×1)/(2×4+3×1)=(48+8+1)/(8+3)=57/11=5 remainder 2 ∴ r=210 Now convert 210 to base 4. 4/2=2. 4/0=0 or 2 ∴ r = 2
〖321〗4/〖234 =((3×42)+(2×41)+(1×40))/((2×40)+(3×40))=(3×16+2×4+1×1)/(2×4+3×1)=(48+8+1)/(8+3)=57/11=5 remainder 2 ∴ r=210 Now convert 210 to base 4. 4/2=2. 4/0=0 or 2 ∴ r = 2THIS WEEK's
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