GMAT Exam > GMAT Questions > Set A consists of integers {3, -8, Y, 19, -6}...
Start Learning for Free
Set A consists of integers {3, -8, Y, 19, -6} and Set B consists of integers {K, -3, 0, 16, -5, 9}. Number Lrepresents the median of Set A, number M represents the mode of set B, and number Z = LM. If Y is an integer greater than 21, for what value of K will Z be a divisor of 26?
- a)-2
- b)-1
- c)0
- d)1
- e)2
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Set A consists of integers {3, -8, Y, 19, -6} and Set B consists of in...
How is the answer C?
L is the median of A which is 3.
M is the mode of B so K has to be either of the given values so as to get a mode. (Bcz mode is max occurred no and in set B , every no is written once so K is the deciding factor?).
Now In the options except 0 no other no is present in set B hence k is 0.
But if K is 0 then mode is 0 i.e M is 0.
Then Z = 0.
How does that satisfy the condition asked in the question!?
(Z is divisor of 26) ?
L is the median of A which is 3.
M is the mode of B so K has to be either of the given values so as to get a mode. (Bcz mode is max occurred no and in set B , every no is written once so K is the deciding factor?).
Now In the options except 0 no other no is present in set B hence k is 0.
But if K is 0 then mode is 0 i.e M is 0.
Then Z = 0.
How does that satisfy the condition asked in the question!?
(Z is divisor of 26) ?
Community Answer
Set A consists of integers {3, -8, Y, 19, -6} and Set B consists of in...
Explanation:
Given Information:
- Set A: {3, -8, Y, 19, -6}
- Set B: {K, -3, 0, 16, -5, 9}
- L = median of Set A
- M = mode of Set B
- Z = LM
- Y > 21
Calculating L, M, and Z:
- The median of Set A: L = (Y - 8) / 2
- The mode of Set B: M is the number that appears most often, which is undefined in this case.
- Z = L * M
Condition for Z to be a divisor of 26:
Z must be a divisor of 26, so Z = 26, 13, 1, or -1.
Substitute the values of L and M:
- Substituting the formula for L, we get L = (Y - 8) / 2
- As M is undefined, we can consider M = 0 for simplicity.
- Therefore, Z = (Y - 8) / 2 * 0 = 0
Find the value of K:
To make Z a divisor of 26, Z must be 1 or -1. For Z = 0, any value of K will work.
Therefore, for Z to be a divisor of 26, K can be any value. So, the correct answer is option C) 0.
Given Information:
- Set A: {3, -8, Y, 19, -6}
- Set B: {K, -3, 0, 16, -5, 9}
- L = median of Set A
- M = mode of Set B
- Z = LM
- Y > 21
Calculating L, M, and Z:
- The median of Set A: L = (Y - 8) / 2
- The mode of Set B: M is the number that appears most often, which is undefined in this case.
- Z = L * M
Condition for Z to be a divisor of 26:
Z must be a divisor of 26, so Z = 26, 13, 1, or -1.
Substitute the values of L and M:
- Substituting the formula for L, we get L = (Y - 8) / 2
- As M is undefined, we can consider M = 0 for simplicity.
- Therefore, Z = (Y - 8) / 2 * 0 = 0
Find the value of K:
To make Z a divisor of 26, Z must be 1 or -1. For Z = 0, any value of K will work.
Therefore, for Z to be a divisor of 26, K can be any value. So, the correct answer is option C) 0.
Attention GMAT Students!
To make sure you are not studying endlessly, EduRev has designed GMAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in GMAT.
|
Explore Courses for GMAT exam
|
|
Similar GMAT Doubts
Top Courses for GMATView all
Set A consists of integers {3, -8, Y, 19, -6} and Set B consists of integers {K, -3, 0, 16, -5, 9}. Number Lrepresents the median of Set A, number M represents the mode of set B, and number Z = LM. If Y is an integer greater than 21, for what value of K will Z be a divisor of 26?a)-2b)-1c)0d)1e)2Correct answer is option 'C'. Can you explain this answer?
Question Description
Set A consists of integers {3, -8, Y, 19, -6} and Set B consists of integers {K, -3, 0, 16, -5, 9}. Number Lrepresents the median of Set A, number M represents the mode of set B, and number Z = LM. If Y is an integer greater than 21, for what value of K will Z be a divisor of 26?a)-2b)-1c)0d)1e)2Correct answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Set A consists of integers {3, -8, Y, 19, -6} and Set B consists of integers {K, -3, 0, 16, -5, 9}. Number Lrepresents the median of Set A, number M represents the mode of set B, and number Z = LM. If Y is an integer greater than 21, for what value of K will Z be a divisor of 26?a)-2b)-1c)0d)1e)2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Set A consists of integers {3, -8, Y, 19, -6} and Set B consists of integers {K, -3, 0, 16, -5, 9}. Number Lrepresents the median of Set A, number M represents the mode of set B, and number Z = LM. If Y is an integer greater than 21, for what value of K will Z be a divisor of 26?a)-2b)-1c)0d)1e)2Correct answer is option 'C'. Can you explain this answer?.
Set A consists of integers {3, -8, Y, 19, -6} and Set B consists of integers {K, -3, 0, 16, -5, 9}. Number Lrepresents the median of Set A, number M represents the mode of set B, and number Z = LM. If Y is an integer greater than 21, for what value of K will Z be a divisor of 26?a)-2b)-1c)0d)1e)2Correct answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Set A consists of integers {3, -8, Y, 19, -6} and Set B consists of integers {K, -3, 0, 16, -5, 9}. Number Lrepresents the median of Set A, number M represents the mode of set B, and number Z = LM. If Y is an integer greater than 21, for what value of K will Z be a divisor of 26?a)-2b)-1c)0d)1e)2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Set A consists of integers {3, -8, Y, 19, -6} and Set B consists of integers {K, -3, 0, 16, -5, 9}. Number Lrepresents the median of Set A, number M represents the mode of set B, and number Z = LM. If Y is an integer greater than 21, for what value of K will Z be a divisor of 26?a)-2b)-1c)0d)1e)2Correct answer is option 'C'. Can you explain this answer?.
Solutions for Set A consists of integers {3, -8, Y, 19, -6} and Set B consists of integers {K, -3, 0, 16, -5, 9}. Number Lrepresents the median of Set A, number M represents the mode of set B, and number Z = LM. If Y is an integer greater than 21, for what value of K will Z be a divisor of 26?a)-2b)-1c)0d)1e)2Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of Set A consists of integers {3, -8, Y, 19, -6} and Set B consists of integers {K, -3, 0, 16, -5, 9}. Number Lrepresents the median of Set A, number M represents the mode of set B, and number Z = LM. If Y is an integer greater than 21, for what value of K will Z be a divisor of 26?a)-2b)-1c)0d)1e)2Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Set A consists of integers {3, -8, Y, 19, -6} and Set B consists of integers {K, -3, 0, 16, -5, 9}. Number Lrepresents the median of Set A, number M represents the mode of set B, and number Z = LM. If Y is an integer greater than 21, for what value of K will Z be a divisor of 26?a)-2b)-1c)0d)1e)2Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Set A consists of integers {3, -8, Y, 19, -6} and Set B consists of integers {K, -3, 0, 16, -5, 9}. Number Lrepresents the median of Set A, number M represents the mode of set B, and number Z = LM. If Y is an integer greater than 21, for what value of K will Z be a divisor of 26?a)-2b)-1c)0d)1e)2Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Set A consists of integers {3, -8, Y, 19, -6} and Set B consists of integers {K, -3, 0, 16, -5, 9}. Number Lrepresents the median of Set A, number M represents the mode of set B, and number Z = LM. If Y is an integer greater than 21, for what value of K will Z be a divisor of 26?a)-2b)-1c)0d)1e)2Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Set A consists of integers {3, -8, Y, 19, -6} and Set B consists of integers {K, -3, 0, 16, -5, 9}. Number Lrepresents the median of Set A, number M represents the mode of set B, and number Z = LM. If Y is an integer greater than 21, for what value of K will Z be a divisor of 26?a)-2b)-1c)0d)1e)2Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GMAT tests.
|
|
Explore Courses for GMAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup