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

It is currently 20 Jun 2018, 08:20

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

X, Y and Z were the only candidates in a certain election.

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

Hide Tags

1 KUDOS received
Manager
Manager
avatar
G
Joined: 23 Feb 2017
Posts: 59
GMAT ToolKit User Premium Member
X, Y and Z were the only candidates in a certain election. [#permalink]

Show Tags

New post 12 Jan 2018, 19:40
1
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

86% (00:45) correct 14% (00:44) wrong based on 29 sessions

HideShow timer Statistics

X, Y and Z were the only candidates in a certain election. If Y and Z received votes in the ratio 3 : 4, who won the election?
(1) Y received less number of votes than X.
(2) Z received less number of votes than X.

_________________

+1 Kudos if you find it helpful.

Expert Post
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 5893
Re: X, Y and Z were the only candidates in a certain election. [#permalink]

Show Tags

New post 12 Jan 2018, 20:06
mandeey wrote:
X, Y and Z were the only candidates in a certain election. If Y and Z received votes in the ratio 3 : 4, who won the election?
(1) Y received less number of votes than X.
(2) Z received less number of votes than X.



Hi..

We know from 3:4 that Z>Y..
1) Y<X....
X could be >Z... So ans X
X could be in between Y and Z,. Ans Z
Insuff
2) Z<X..
So X>Z>Y..
Ans X
Sufficient

B
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html


GMAT online Tutor

1 KUDOS received
Manager
Manager
User avatar
G
Joined: 17 Mar 2015
Posts: 80
GMAT ToolKit User Premium Member Reviews Badge
Re: X, Y and Z were the only candidates in a certain election. [#permalink]

Show Tags

New post 12 Jan 2018, 20:12
1
mandeey wrote:
X, Y and Z were the only candidates in a certain election. If Y and Z received votes in the ratio 3 : 4, who won the election?
(1) Y received less number of votes than X.
(2) Z received less number of votes than X.



y = 3a and z = 4a. Votes would be integer and positive. So z > y.

1. y < x. No relation between x and z
2. z<x so y<x. So x has most votes.

Ans. B.


Please give Kudos for correct answer :-) !!!!!!!!!!!!!!!!
Expert Post
Math Revolution GMAT Instructor
User avatar
D
Joined: 16 Aug 2015
Posts: 5585
GMAT 1: 800 Q59 V59
GPA: 3.82
X, Y and Z were the only candidates in a certain election. [#permalink]

Show Tags

New post 14 Jan 2018, 22:15
mandeey wrote:
X, Y and Z were the only candidates in a certain election. If Y and Z received votes in the ratio 3 : 4, who won the election?
(1) Y received less number of votes than X.
(2) Z received less number of votes than X.


Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.

We have 3Z = 4Y from the original condition.

Since we have 3 variables (X, Y and Z) and 1 equations, C is most likely to be the answer. So, we should consider 1) & 2) first.

Conditions 1) & 2)
Y < X and Z < X
Thus X has received the largest number of votes.

Since this question is an integer question (one of the key question areas), CMT (Common Mistake Type) 4(A) of the VA (Variable Approach) method tells us that we should also check answers A and B.

Condition 1)
We have Y < X from the condition 1).
However, we don't know if X < Z or X > Z.
The condition 1) only is not sufficient.

Condition 2)
We have X > Z from the condition 2).
Since 3Z = 4Y, we have Z > Y.
Thus we have X > Z > Y and so X won the election.
The condition 2) only is sufficient.

Therefore, the answer is B.

Normally, in problems which require 2 equations, such as those in which the original conditions include 2 variables, or 3 variables and 1 equation, or 4 variables and 2 equations, each of conditions 1) and 2) provide an additional equation. In these problems, the two key possibilities are that C is the answer (with probability 70%), and E is the answer (with probability 25%). Thus, there is only a 5% chance that A, B or D is the answer. This occurs in common mistake types 3 and 4. Since C (both conditions together are sufficient) is the most likely answer, we save time by first checking whether conditions 1) and 2) are sufficient, when taken together. Obviously, there may be cases in which the answer is A, B, D or E, but if conditions 1) and 2) are NOT sufficient when taken together, the answer must be E.
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

X, Y and Z were the only candidates in a certain election.   [#permalink] 14 Jan 2018, 22:15
Display posts from previous: Sort by

X, Y and Z were the only candidates in a certain election.

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


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.