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16 Sep 2014, 01:10
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What positive number is 224 percent greater than its reciprocal?
A. 0.8
B. 1.1
C. 1.5
D. 1.8
E. 2.2
A. 0.8
B. 1.1
C. 1.5
D. 1.8
E. 2.2
16 Sep 2014, 01:10
Kudos
Bookmarks
Official Solution:
What positive number is 224 percent greater than its reciprocal?
A. 0.8
B. 1.1
C. 1.5
D. 1.8
E. 2.2
We should find such \(x\) that satisfies the following equation: \(x=\frac{1}{x}+\frac{1}{x}*\frac{224}{100}\);
\(x=\frac{1}{x}*3.24\);
\(x^2=3.24\);
\(x=1.8\) (given that \(x\) is a positive number, \(x=-1.8\) is not valid).
Answer: D
What positive number is 224 percent greater than its reciprocal?
A. 0.8
B. 1.1
C. 1.5
D. 1.8
E. 2.2
We should find such \(x\) that satisfies the following equation: \(x=\frac{1}{x}+\frac{1}{x}*\frac{224}{100}\);
\(x=\frac{1}{x}*3.24\);
\(x^2=3.24\);
\(x=1.8\) (given that \(x\) is a positive number, \(x=-1.8\) is not valid).
Answer: D
