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

 It is currently 19 Oct 2019, 17:52

### 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

# A company produces computers with 7 different speeds, and the ratio of

Author Message
TAGS:

### Hide Tags

Manager
Joined: 02 Jun 2015
Posts: 184
Location: Ghana
A company produces computers with 7 different speeds, and the ratio of  [#permalink]

### Show Tags

25 Oct 2016, 17:57
1
8
00:00

Difficulty:

65% (hard)

Question Stats:

55% (02:14) correct 45% (02:27) wrong based on 98 sessions

### HideShow timer Statistics

A company produces computers with 7 different speeds, and the ratio of each speed to the next one is a fixed ratio. If the fastest computer is 5.4 GHz, while slowest speed is 0.2 GHz, what is the speed of the second slowest computer?

A) (3^1/2) (0.2)
B) (27^1/7) (0.2)
C) (5.2/7) + 0.2
D) (0.2)^2
E) 0.8

_________________
Kindly press kudos if you find my post helpful
Manager
Joined: 05 Jun 2015
Posts: 77
Location: United States
WE: Engineering (Transportation)
A company produces computers with 7 different speeds, and the ratio of  [#permalink]

### Show Tags

25 Oct 2016, 18:30
2
This is a question on Geometric Progression.
Nth term of a GP is $$a * r^{n-1}$$, where a is the first term and r is the ratio between two consecutive terms.

7th term and first term are given
7th term = $$a * r^{6}$$
$$5.4 = 0.2 *r^{6}$$
$$r = 27 ^{1/6}$$

Second ratio = a *r
= $$0.2 * 27 ^{1/6}$$
=$$0.2 * (3^3) ^{1/6}$$
= $$0.2 * 3 ^{1/2}$$
VP
Joined: 05 Mar 2015
Posts: 1000
A company produces computers with 7 different speeds, and the ratio of  [#permalink]

### Show Tags

25 Oct 2016, 20:32
duahsolo wrote:
A company produces computers with 7 different speeds, and the ratio of each speed to the next one is a fixed ratio. If the fastest computer is 5.4 GHz, while slowest speed is 0.2 GHz, what is the speed of the second slowest computer?

A) (3^1/2) (0.2)
B) (27^1/7) (0.2)
C) (5.2/7) + 0.2
D) (0.2)^2
E) 0.8

1st speed=0.2
Let x be ratio,then 1st/2nd=x
0.2/2nd =x------>2nd=0.2/x------(a)
.
.
.
7th=0.2/x^6=5.4
x^6=0.2/5.4=1/27----->1/3^3
x=1 / 3^(3*1/6)------->1/3^1/2
therefore 2nd speed(from (a)) =0.2/(1/3^1/2)-------->3^1/2*0.2

Ans A
Intern
Joined: 09 Apr 2016
Posts: 32
Re: A company produces computers with 7 different speeds, and the ratio of  [#permalink]

### Show Tags

26 Oct 2016, 04:07
Tough question!
Could someone explain in detail?
Non-Human User
Joined: 09 Sep 2013
Posts: 13275
Re: A company produces computers with 7 different speeds, and the ratio of  [#permalink]

### Show Tags

13 Aug 2018, 05:44
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: A company produces computers with 7 different speeds, and the ratio of   [#permalink] 13 Aug 2018, 05:44
Display posts from previous: Sort by