If the integer X is rounded to the nearest hundred, the result represents a 66 2/3 % increase over the value obtained when X is rounded to the nearest ten. Which of the following is a possible value of X?
64
67
99
133
147
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Confusing PS question
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rishianand7
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We can plug in the answers, which represent the value of X.rishianand7 wrote:If the integer X is rounded to the nearest hundred, the result represents a 66 2/3 % increase over the value obtained when X is rounded to the nearest ten. Which of the following is a possible value of X?
64
67
99
133
147
Since X rounded to the nearest 100 must be 2/3 GREATER than X rounded to the nearest 10, the correct answer must be a value that rounds UP quite a bit to the nearest 100.
Eliminate C, D and E.
Answer choice A: 64
64 rounded to the nearest 10 = 60.
64 rounded to the nearest 100 = 100.
Fractional increase = Difference/Smaller = (100-60)/60 = 40/60 = 2/3.
Success!
The correct answer is A.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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