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

 It is currently 13 Dec 2018, 10:46

### 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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### GMATbuster's Weekly GMAT Quant Quiz, Tomorrow, Saturday at 9 AM PST

December 14, 2018

December 14, 2018

09:00 AM PST

10:00 AM PST

10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.
• ### The winning strategy for 700+ on the GMAT

December 13, 2018

December 13, 2018

08:00 AM PST

09:00 AM PST

What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.

# N is a positive integer which can be expressed as 57 x 10p, where p...

Author Message
TAGS:

### Hide Tags

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2303
N is a positive integer which can be expressed as 57 x 10p, where p...  [#permalink]

### Show Tags

Updated on: 21 Nov 2018, 03:44
1
00:00

Difficulty:

15% (low)

Question Stats:

88% (00:44) correct 12% (01:18) wrong based on 65 sessions

### HideShow timer Statistics

Interesting Applications of Remainders – Practice question 3

N is a positive integer which can be expressed as 57 x $$10^p$$, where p is a positive integer. What is the remainder when N is divided by 9?

A. 0
B. 3
C. 4
D. 6
E. 7

To read the article: Interesting Applications of Remainders

_________________

Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets

| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Originally posted by EgmatQuantExpert on 21 Nov 2018, 03:03.
Last edited by EgmatQuantExpert on 21 Nov 2018, 03:44, edited 1 time in total.
Senior Manager
Joined: 18 Jul 2018
Posts: 497
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: N is a positive integer which can be expressed as 57 x 10p, where p...  [#permalink]

### Show Tags

21 Nov 2018, 03:34
1
$$N = 57*10^P$$

When N is divided by 9, 10^P will always give a remainder of 1.
Hence, N becomes 57*1 = 57/9 = 3.

_________________

When you want something, the whole universe conspires in helping you achieve it.

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2303
N is a positive integer which can be expressed as 57 x 10p, where p...  [#permalink]

### Show Tags

25 Nov 2018, 16:51

Solution

Given:
• N= $$57* 10^p$$
• p is a positive integer.

To find:
• The remainder when N is divided by 9.

Approach and Working:
• N= $$57* 10^p$$
• $$(\frac{N}{9})_R = (\frac{{57* 10^P}}{9})_R$$
• = $$(\frac{57}{9})_R * (\frac{{10^p}}{9})_R$$
• = 3 *1=3

Hence, the correct answer is option B.

_________________

Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets

| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

N is a positive integer which can be expressed as 57 x 10p, where p... &nbs [#permalink] 25 Nov 2018, 16:51
Display posts from previous: Sort by