Data Sufficiency

VJesus12 wrote: ↑

Fri Feb 19, 2021 6:54 am

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

(1) \(d < \dfrac14\)
(2) \(h < 5\)

Answer: D

Source: Official Guide

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