sandy wrote:
\(m = 10^{32} + 2\)
When m is divided by 11, the remainder is r.
Quantity A |
Quantity B |
r |
3 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Practice Questions
Question: 8
Page: 150
m = 10^(32) + 2 = 100,000,000,000,000,000,000,000,000,000,002 so we certainly don't want to CALCULATE the remainder when m is divided by 11.
Instead, let's examine different powers of 10 and
look for a pattern1) 10^1 + 2 = 12. When we divide 12 by 11, we get remainder
12) 10^2 + 2 = 102. When we divide 102 by 11, we get remainder
33) 10^3 + 2 = 1002. When we divide 1002 by 11, we get remainder
14) 10^4 + 2 = 10,002. When we divide 10,002 by 11, we get remainder
3So, when the exponent is ODD, the remainder is
1And, when the exponent is EVEN, the remainder is
3So, when we divide 10^32 +2 by 11, we get remainder
3So, we have:
Quantity A:
3Quantity B: 3
Answer: C
Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com
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