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If digit \(h\) is the hudredths' digit in the decimal

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Source: — Data Sufficiency |

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by Brent@GMATPrepNow » Fri Apr 26, 2019 4:22 am

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BTGmoderatorLU wrote:Source: Official Guide

If digit \(h\) is the hudredths' digit in the decimal \(d=0.2h6\), what is the value of \(d\), rounded to the nearest tenth?

1) \(d < \frac{1}{4}\)
2) \(h < 5\)
The OA is D
Given: Digit h is the hundredths digit in the decimal d=0.2h6

Target question: What is the value of d, rounded to the nearest TENTH?

Statement 1: d < 1/4
In other words, 0.2h6 < 0.25
This means h = 0, 1, 2, 3 or 4
If h = 0, 1, 2, 3 or 4, then 0.2h6 (aka d) rounded to the nearest TENTH is 0.2
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: h < 5
This means h = 0, 1, 2, 3 or 4
If h = 0, 1, 2, 3 or 4, then 0.2h6 (aka d) rounded to the nearest TENTH is 0.2
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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