Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Nov 1811:00 AM PST
-12:00 PM PST
Join us in a live GMAT practice session and solve 30 challenging GMAT questions with other test takers in timed conditions, covering GMAT Quant, Data Sufficiency, Data Insights, Reading Comprehension, and Critical Reasoning questions.
Nov 2211:00 AM IST
-01:00 PM IST
Do RC/MSR passages scare you? e-GMAT is conducting a masterclass to help you learn – Learn effective reading strategies Tackle difficult RC & MSR with confidence Excel in timed test environment- Nov 23
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Nov 2510:00 AM EST
-11:00 AM EST
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors.
24 Mar 2024, 06:15
Kudos
Bookmarks
Two amateur wrestling squads—Squad A and Squad B—competed against each other. Each squad had the same (nonzero) number of its members who were contestants. In the competition, each contestant in Squads A and B wrestled against exactly one contestant in the other squad, and no non-contestant member of either squad wrestled. Let x be the proportion of Squad A's members who were contestants in the competition and let y be the proportion of Squad B’s members who were contestants in the competition. In terms of x and y only, what is the proportion of the total number of members in the two squads who were contestants in the competition?
Divide both the numerator and denominator by a.
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
63% (03:19) correct
37%
(03:32)
wrong
based on 1229
sessions
History
Date
Time
Result
Not Attempted Yet
Which one of the following procedures, when applied to the last mathematical expression in the Concise Solution tab, gives a mathematical expression that answers the question asked in the Problem Statement tab?
| Multiply both the numerator and denominator by a. | |
| Multiply both the numerator and denominator by y. | |
| Divide both the numerator and denominator by a. | |
| Subtract a and then divide the result \(a + \frac{x}{y}a\). | |
| Divide by \(a + \frac{x}{y}a\). and then subtract a from the result. |
ShowHide Answer
Official Answer
Divide both the numerator and denominator by a.
9: No
10: No
12: Yes
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
39% (02:13) correct
61%
(02:17)
wrong
based on 1256
sessions
History
Date
Time
Result
Not Attempted Yet
A given number is a possible value of a’ if, for each value of x in the Table tab, there is a value of a that is compatible with that value of x and the other information provided. For each of the following numbers, select Yes if, given this condition, it is a possible value of a' Otherwise select No.
| Yes | No | |
| 9 | ||
| 10 | ||
| 12 |
ShowHide Answer
Official Answer
9: No
10: No
12: Yes
\(a' = yb\): Yes
\(a' = b'\): Yes
\(a + b < xa + yb\): No
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
75% (01:06) correct
25%
(01:11)
wrong
based on 1109
sessions
History
Date
Time
Result
Not Attempted Yet
Assume the information provided is true. For each of the following mathematical statements, select Yes if, according to the information provided, the statement is true for the possible values of x and y. Otherwise select No.
| Yes | No | |
| \(a' = yb\) | ||
| \(a' = b'\) | ||
| \(a + b < xa + yb\) |
ShowHide Answer
Official Answer
\(a' = yb\): Yes
\(a' = b'\): Yes
\(a + b < xa + yb\): No
Attachment:
2024-03-24_17-04-38.png [ 53.51 KiB | Viewed 21729 times ]
Attachment:
GMAT-Club-Forum-vkjbtdf6.png [ 266.05 KiB | Viewed 6491 times ]
Attachment:
GMAT-Club-Forum-awftoxd8.png [ 103.46 KiB | Viewed 6491 times ]
Attachment:
GMAT-Club-Forum-4ghzfovy.png [ 123.36 KiB | Viewed 6491 times ]
Attachment:
GMAT-Club-Forum-nv27rie2.png [ 75.17 KiB | Viewed 6491 times ]
Attachment:
GMAT-Club-Forum-dmhy4c7o.png [ 68.22 KiB | Viewed 6492 times ]
24 Mar 2024, 09:24
Kudos
Bookmarks
Question 1
Which one of the following procedures, when applied to the last mathematical expression in the Concise Solution tab, gives a mathematical expression that answers the question asked in the Problem Statement tab?
The equation being talked about is \(\frac{2xa}{a+\frac{x}{y}*a}\)
we want this expression in terms of only x and y. We have an extra in both numerator and denominator => \(\frac{2xa}{a(1+\frac{x}{y})}\)
So, divide numerator and denominator by a to get \(\frac{2x}{1+\frac{x}{y}}\)
Question 2.
A given number is a possible value of [i]a’ if, for each value of x in the Table tab, there is a value of a that is compatible with that value of x and the other information provided. For each of the following numbers, select Yes if, given this condition, it is a possible value of a' Otherwise select No.[/i]
Now x has values 1/3, 1/4 etc, and xa has to be integer as xa is the number of contestants. Thus a has to be a multiple of LCM of denominators of values of x. Thus 12 or multiples of 12.
Hence 9 and 10 are not valid while 12 is.
Question 3.
Assume the information provided is true. For each of the following mathematical statements, select [i]Yes if, according to the information provided, the statement is true for the possible values of x and y. Otherwise select No.[/i]
a'=b'=xa=yb.
Thus, a'=yb is true.
a'=b' is also true.
However, \(a + b < xa + yb\) is not true as xa<a and yb<b, resulting in a+b>xa+yb
Which one of the following procedures, when applied to the last mathematical expression in the Concise Solution tab, gives a mathematical expression that answers the question asked in the Problem Statement tab?
The equation being talked about is \(\frac{2xa}{a+\frac{x}{y}*a}\)
we want this expression in terms of only x and y. We have an extra in both numerator and denominator => \(\frac{2xa}{a(1+\frac{x}{y})}\)
So, divide numerator and denominator by a to get \(\frac{2x}{1+\frac{x}{y}}\)
Question 2.
A given number is a possible value of [i]a’ if, for each value of x in the Table tab, there is a value of a that is compatible with that value of x and the other information provided. For each of the following numbers, select Yes if, given this condition, it is a possible value of a' Otherwise select No.[/i]
Now x has values 1/3, 1/4 etc, and xa has to be integer as xa is the number of contestants. Thus a has to be a multiple of LCM of denominators of values of x. Thus 12 or multiples of 12.
Hence 9 and 10 are not valid while 12 is.
Question 3.
Assume the information provided is true. For each of the following mathematical statements, select [i]Yes if, according to the information provided, the statement is true for the possible values of x and y. Otherwise select No.[/i]
a'=b'=xa=yb.
Thus, a'=yb is true.
a'=b' is also true.
However, \(a + b < xa + yb\) is not true as xa<a and yb<b, resulting in a+b>xa+yb
05 Sep 2024, 07:30
Kudos
Bookmarks
Dhruv0911
The video solution of this question is given here:
Attachment:
GMAT-Club-Forum-a034evp0.png [ 266.05 KiB | Viewed 6481 times ]
Attachment:
GMAT-Club-Forum-rozergd5.png [ 103.46 KiB | Viewed 6483 times ]
Attachment:
GMAT-Club-Forum-5f94n313.png [ 123.36 KiB | Viewed 6485 times ]
Attachment:
GMAT-Club-Forum-jkoxq6ie.png [ 75.17 KiB | Viewed 6480 times ]
Attachment:
GMAT-Club-Forum-hv5e9917.png [ 68.22 KiB | Viewed 6478 times ]
