GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 22 Jan 2019, 08:52

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### The winners of the GMAT game show

January 22, 2019

January 22, 2019

10:00 PM PST

11:00 PM PST

In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.
• ### Key Strategies to Master GMAT SC

January 26, 2019

January 26, 2019

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

# Which of the following is closest to the distance traveled by the tip

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52386
Which of the following is closest to the distance traveled by the tip  [#permalink]

### Show Tags

04 Sep 2018, 23:21
00:00

Difficulty:

25% (medium)

Question Stats:

78% (01:17) correct 22% (01:31) wrong based on 18 sessions

### HideShow timer Statistics

Which of the following is closest to the distance traveled by the tip of a 3-inch minute hand of a clock in 17 minutes?

A. 17 inches
B. 10 inches
C. 8 inches
D. 5 inches
E. 1 inches

_________________
Director
Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
Re: Which of the following is closest to the distance traveled by the tip  [#permalink]

### Show Tags

05 Sep 2018, 00:57
2
Bunuel wrote:
Which of the following is closest to the distance traveled by the tip of a 3-inch minute hand of a clock in 17 minutes?

A. 17 inches
B. 10 inches
C. 8 inches
D. 5 inches
E. 1 inches

there are a total of 60 minutes in 360 degrees of the clock
so each minute = 6 degrees
therefore, in 17 minutes we have 6*17=102 degrees
distance = length of arc formed by the minute hand with radius 3
= 2$$\pi$$*3 *$$\frac{102}{360}$$= $$\pi$$*$$\frac{102}{60}$$= 5.338
GMATH Teacher
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 629
Re: Which of the following is closest to the distance traveled by the tip  [#permalink]

### Show Tags

05 Sep 2018, 09:10
Bunuel wrote:
Which of the following is closest to the distance traveled by the tip of a 3-inch minute hand of a clock in 17 minutes?

A. 17 inches
B. 10 inches
C. 8 inches
D. 5 inches
E. 1 inches

Excellent problem to practice:

(1) UNITS CONTROL (one of our most powerful tools)!
(2) Arithmetic skills, in particular a famous (and very useful in the GMAT) Pi approximation (22/7)

$$?\,\,\,:\,\,\,\# \,\,{\text{in}}\,\,\left( {{\text{approx}}{\text{.}}} \right)\,\,\,{\text{for}}\,\,17\min$$

$$?\,\,\, = \,\,\,17\min \,\,\left( {\frac{{1\,\,{\text{round}}}}{{60\,\min }}\,\,\begin{array}{*{20}{c}} \nearrow \\ \nearrow \end{array}} \right)\,\,\left( {\frac{{2\pi \cdot 3\,\,{\text{in}}}}{{1\,\,{\text{round}}}}\,\,\begin{array}{*{20}{c}} \nearrow \\ \nearrow \end{array}} \right)\,\,\, = \,\,\,\frac{{17 \cdot 2\pi \cdot 3}}{{60}}\,\,\,{\text{in}}$$

$$? = \frac{{17 \cdot 2\pi \cdot 3}}{{60}}\,\, \cong \,\,\,\frac{1}{{10}}\left( {\frac{{17 \cdot 22}}{7}} \right)\,\,\,\mathop = \limits^{\left( * \right)} \,\,\,\frac{1}{{10}}\left( {53\frac{3}{7}} \right)\,\,\, \cong \,\,\,\boxed{5.3}$$

$$\left( * \right)\,\,\,\frac{{17 \cdot 22}}{7} = \frac{{340 + 34}}{7}\,\,\, = \,\,\,\frac{{350 + 21 + 3}}{7} = 53\frac{3}{7}$$

This solution follows the notations and rationale taught in the GMATH method.

Regards,
fskilnik.
_________________

Fabio Skilnik :: GMATH method creator (Math for the GMAT)
Our high-level "quant" preparation starts here: https://gmath.net

Intern
Joined: 14 Aug 2018
Posts: 20
Location: United States (WA)
GMAT 1: 670 Q43 V40
GMAT 2: 750 Q47 V47
GPA: 3.3
WE: Education (Education)
Re: Which of the following is closest to the distance traveled by the tip  [#permalink]

### Show Tags

05 Sep 2018, 10:20
Before you do the math here, estimate. The answer choices are pretty spread out, so why waste time being accurate?

Restate the question as "What is 1/3 of the circumference of a circle with a radius of 3?"

Circumference = 2 pi r
So a third would be (2 pi 3 )/3
You are estimating, so cancel out the 3 and the 3.
2 pi = 6 ish.

The right answer is around 6. Go with D.

Jayson Beatty
Indigo Prep
_________________

Jayson Beatty
Indigo Prep
http://www.indigoprep.com

Re: Which of the following is closest to the distance traveled by the tip &nbs [#permalink] 05 Sep 2018, 10:20
Display posts from previous: Sort by