GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 26 Jan 2020, 22:12

### 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

# If an integer greater than 100 and less than 1,000 is to be selected

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 60646
If an integer greater than 100 and less than 1,000 is to be selected  [#permalink]

### Show Tags

03 Dec 2019, 02:28
00:00

Difficulty:

55% (hard)

Question Stats:

74% (02:18) correct 26% (02:11) wrong based on 73 sessions

### HideShow timer Statistics

If an integer greater than 100 and less than 1,000 is to be selected at random, what is the probability that the integer selected will be a multiple of 7?

A. $$\frac{142}{999}$$

B. $$\frac{142}{900}$$

C. $$\frac{142}{899}$$

D. $$\frac{128}{900}$$

E. $$\frac{128}{899}$$

Are You Up For the Challenge: 700 Level Questions

_________________
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5734
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If an integer greater than 100 and less than 1,000 is to be selected  [#permalink]

### Show Tags

03 Dec 2019, 02:33
total integers >100 <1000 ; 999-101+1 = 899
and multiples of 7 <100 ; 14 and <1000 ; 142
so 142-14 ; 128 ;
P = 128/899
IMO E

Bunuel wrote:
If an integer greater than 100 and less than 1,000 is to be selected at random, what is the probability that the integer selected will be a multiple of 7?

A. $$\frac{142}{999}$$

B. $$\frac{142}{900}$$

C. $$\frac{142}{899}$$

D. $$\frac{128}{900}$$

E. $$\frac{128}{899}$$

Are You Up For the Challenge: 700 Level Questions
Senior Manager
Joined: 13 Feb 2018
Posts: 494
GMAT 1: 640 Q48 V28
Re: If an integer greater than 100 and less than 1,000 is to be selected  [#permalink]

### Show Tags

04 Dec 2019, 00:32
The number of integers greater than 100 and less than 1,000
(last integer-first integer)+1
(999-101)+1=899

The number of multiple of 7 integers greater than 100 and less than 1,000
$$\frac{{last integer-first integer}}{7 }$$+1
$$\frac{{994-105}}{7}+1=128$$

$$\frac{128}{899}$$

IMO
Ans: E
VP
Joined: 24 Nov 2016
Posts: 1115
Location: United States
If an integer greater than 100 and less than 1,000 is to be selected  [#permalink]

### Show Tags

04 Dec 2019, 08:30
Bunuel wrote:
If an integer greater than 100 and less than 1,000 is to be selected at random, what is the probability that the integer selected will be a multiple of 7?

A. $$\frac{142}{999}$$

B. $$\frac{142}{900}$$

C. $$\frac{142}{899}$$

D. $$\frac{128}{900}$$

E. $$\frac{128}{899}$$

Total cases: 999-101+1=899
Favorable cases are multiples 7 from 101 to 999: (994-105)/7+1=128
Probability: 128/899

Ans (E)
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 9145
Location: United States (CA)
Re: If an integer greater than 100 and less than 1,000 is to be selected  [#permalink]

### Show Tags

09 Dec 2019, 18:52
1
Bunuel wrote:
If an integer greater than 100 and less than 1,000 is to be selected at random, what is the probability that the integer selected will be a multiple of 7?

A. $$\frac{142}{999}$$

B. $$\frac{142}{900}$$

C. $$\frac{142}{899}$$

D. $$\frac{128}{900}$$

E. $$\frac{128}{899}$$

Are You Up For the Challenge: 700 Level Questions

The least multiple of 7 greater than 100 is 105. The greatest multiple of 7 less than 1000 is 994.

Thus, the total number of multiples of 7 greater than 100 but less than 1000 is:

(994 - 105)/7 + 1 = 128

The total number of numbers greater than 100 but less than 1000 is 999 - 101 + 1 = 899.

Thus, the probability is 128/899.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
181 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: If an integer greater than 100 and less than 1,000 is to be selected   [#permalink] 09 Dec 2019, 18:52
Display posts from previous: Sort by