It is currently 13 Dec 2017, 09:17

Decision(s) Day!:

CHAT Rooms | Ross R1 | Kellogg R1 | Darden R1 | Tepper R1


Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If x, y, and z are positive integers such that x2 + y2 + z2 = 64,470,

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42585

Kudos [?]: 135509 [0], given: 12697

If x, y, and z are positive integers such that x2 + y2 + z2 = 64,470, [#permalink]

Show Tags

New post 26 Apr 2016, 05:34
Expert's post
3
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

84% (01:06) correct 16% (01:14) wrong based on 79 sessions

HideShow timer Statistics

If x, y, and z are positive integers such that x^2 + y^2 + z^2 = 64,470, which of the following could be the values of x, y, and z?

I. x = 115, y = 146, z = 173
II. x = 114, y = 142, z = 171
III. x = 110, y = 108, z = 179

A. I only
B. II only
C. III only
D. I​ and II
E. I and III
[Reveal] Spoiler: OA

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 135509 [0], given: 12697

Manager
Manager
avatar
B
Joined: 01 Jul 2010
Posts: 62

Kudos [?]: 10 [0], given: 6

Location: India
GMAT 1: 660 Q43 V38
GPA: 3.4
GMAT ToolKit User
Re: If x, y, and z are positive integers such that x2 + y2 + z2 = 64,470, [#permalink]

Show Tags

New post 26 Apr 2016, 07:32
We can just go by the units digit of the square of the numbers

I. x = 115, y = 146, z = 173 > Sum of the square of the unit digits 5 +6 +9 = 0
II. x = 114, y = 142, z = 171 > Sum of the square of the unit digits 6 +4+1 = 1
III. x = 110, y = 108, z = 179> Sum of the square of the unit digits 0+4+1 = 5

So the answer is A

Kudos [?]: 10 [0], given: 6

Board of Directors
User avatar
G
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 3108

Kudos [?]: 1145 [0], given: 327

Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
If x, y, and z are positive integers such that x2 + y2 + z2 = 64,470, [#permalink]

Show Tags

New post 26 Apr 2016, 07:33
Bunuel wrote:
If x, y, and z are positive integers such that x^2 + y^2 + z^2 = 64,470, which of the following could be the values of x, y, and z?

I. x = 115, y = 146, z = 173
II. x = 114, y = 142, z = 171
III. x = 110, y = 108, z = 179

A. I only
B. II only
C. III only
D. I​ and II
E. I and III


10 sec answer if you know how to find the units digit of a number

The number given is of the form of square, so calculate the units digit - Here your objective is to find the sum where last digit is 0

x = 115, so x^2 will have units digit 5
y = 146, so y^2 will have units digit 6
z = 173, so z^2 will have units digit 9

Calculate the units digit , the units digit will be 0

Test with options II and III, only option I will satisfy the condition , hence this will be our answer.
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Kudos [?]: 1145 [0], given: 327

Intern
Intern
avatar
B
Joined: 23 Jun 2017
Posts: 7

Kudos [?]: 0 [0], given: 74

Re: If x, y, and z are positive integers such that x2 + y2 + z2 = 64,470, [#permalink]

Show Tags

New post 08 Oct 2017, 23:58
Bunuel If I prepare quant from GMAT directory
is it sufficient to get Q50 score?

Kudos [?]: 0 [0], given: 74

Re: If x, y, and z are positive integers such that x2 + y2 + z2 = 64,470,   [#permalink] 08 Oct 2017, 23:58
Display posts from previous: Sort by

If x, y, and z are positive integers such that x2 + y2 + z2 = 64,470,

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.