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.
Apr 2601:30 AM EDT
-02:30 AM EDT
Learn how Keshav, a Chartered Accountant, scored an impressive 705 on GMAT in just 30 days with GMATWhiz's expert guidance. In this video, he shares preparation tips and strategies that worked for him, including the mock, time management, and more.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2711:00 AM EDT
-12:00 PM EDT
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
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
May 0111:00 AM PDT
-12:00 PM PDT
Free- full-length test + 15 concept videos + 150+ short videos + study plan!
16 Apr 2020, 02:25
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
46% (02:04) correct
54%
(01:45)
wrong
based on 152
sessions
History
Date
Time
Result
Not Attempted Yet
List A: {20, 4, 8, x}
List B: {8, 3, 6, 12, -4}
List A above has 4 numbers and List B above has 5 numbers. What is the value of x?
(1) The range of the numbers in List A is equal to the range of the numbers in List B
(2) The median of the numbers in List A is equal to the median of the numbers in List B.
List B: {8, 3, 6, 12, -4}
List A above has 4 numbers and List B above has 5 numbers. What is the value of x?
(1) The range of the numbers in List A is equal to the range of the numbers in List B
(2) The median of the numbers in List A is equal to the median of the numbers in List B.
16 Apr 2020, 02:41
Kudos
Bookmarks
List A: {20, 4, 8, x}
List B: {8, 3, 6, 12, -4}
List A above has 4 numbers and List B above has 5 numbers. What is the value of x?
For convenience re-write the lists in ascending order.
List A: {x, 4, 8, 20} (here we don't know the value of x, so let's just write it in the beginning, which might not be the case)
List B: {-4, 3, 6, 8, 12}
(1) The range of the numbers in List A is equal to the range of the numbers in List B.
The range of B is Largest - Smallest = 12 - (-4) = 16.
If the range of A is also 16, it means that x can be any number from 4 to 20, inclusive: \(4 \leq x \leq 20\) (if x is outside this range the range of A would be more than 16. For example, the range of {3, 4, 8, 20} is 17).
Not sufficient.
(2) The median of the numbers in List A is equal to the median of the numbers in List B.[/quote]
The median of B is the middle number, so 6 (the median of a list with even number of elements is the middle element, when arranged in ascending/descending order).
The median of A to also be 6, x must be any number less than or equal to 4: \(x\leq 4\) (if x > 4, then the median of A will be more than 6. For example, the median of {4, 5, 8, 20} is (5 + 8)/2 = 6.5).
(1)+(2) \(4 \leq x \leq 20\) and \(x\leq 4\) has only one value in common, namely 4. So, x = 4. Sufficient.
Answer: C.
List B: {8, 3, 6, 12, -4}
List A above has 4 numbers and List B above has 5 numbers. What is the value of x?
For convenience re-write the lists in ascending order.
List A: {x, 4, 8, 20} (here we don't know the value of x, so let's just write it in the beginning, which might not be the case)
List B: {-4, 3, 6, 8, 12}
(1) The range of the numbers in List A is equal to the range of the numbers in List B.
The range of B is Largest - Smallest = 12 - (-4) = 16.
If the range of A is also 16, it means that x can be any number from 4 to 20, inclusive: \(4 \leq x \leq 20\) (if x is outside this range the range of A would be more than 16. For example, the range of {3, 4, 8, 20} is 17).
Not sufficient.
(2) The median of the numbers in List A is equal to the median of the numbers in List B.[/quote]
The median of B is the middle number, so 6 (the median of a list with even number of elements is the middle element, when arranged in ascending/descending order).
The median of A to also be 6, x must be any number less than or equal to 4: \(x\leq 4\) (if x > 4, then the median of A will be more than 6. For example, the median of {4, 5, 8, 20} is (5 + 8)/2 = 6.5).
(1)+(2) \(4 \leq x \leq 20\) and \(x\leq 4\) has only one value in common, namely 4. So, x = 4. Sufficient.
Answer: C.
hareesh555
Joined: 10 Apr 2019
Last visit: 02 May 2021
Posts: 8
Own Kudos:
Given Kudos: 16
Location: India
Schools: ISB '20 Anderson '21 Johnson '22 Cox '22
GMAT 1: 650 Q42 V40
GPA: 3.7
16 Apr 2020, 11:29
Kudos
Bookmarks
The range of the numbers in list B is 16. So, as per the above explanation , if 3 is taken in the place of X then the range of set A will not satisfy the condition . So, the above explanation may be wrong . The answer for the above question is A.
Kindly clarify
Kindly clarify
