CAT Exam > CAT Questions > 6. A list contains 20 consecutive odd integer...
Start Learning for Free
6. A list contains 20 consecutive odd integers. The average of these integers is 24. What is the largest odd integer in the list? A) 45 B) 43 C) 41 D) 39?
Most Upvoted Answer
6. A list contains 20 consecutive odd integers. The average of these i...
To find the largest odd integer in the list, we need to determine the first odd integer in the list and then increment it consecutively until we reach the largest odd integer.
Let's assume the first odd integer in the list is 'x'. Since the list contains consecutive odd integers, the next odd integer would be 'x + 2', the one after that would be 'x + 4', and so on.
We can find the sum of the list by using the average and the number of terms:
Average = Sum of terms / Number of terms
In this case, the average is given as 24 and the number of terms is 20. So, we can write the equation as:
24 = Sum of terms / 20
To find the sum of the terms, we can multiply the average by the number of terms:
Sum of terms = 24 * 20 = 480
Now, we can find the first odd integer in the list:
x + (x + 2) + (x + 4) + ... + (x + 38) = 480
To simplify the equation, we can group the terms:
20x + (2 + 4 + 6 + ... + 38) = 480
20x + 2(1 + 2 + 3 + ... + 19) = 480
20x + 2(19(19 + 1)/2) = 480
20x + 2(19 * 20/2) = 480
20x + 2(190) = 480
20x + 380 = 480
20x = 480 - 380
20x = 100
x = 100/20
x = 5
So, the first odd integer in the list is 5. Now, we need to find the largest odd integer in the list. Since the list contains consecutive odd integers, the largest odd integer would be the last term, which is 'x + 38' in this case.
Therefore, the largest odd integer in the list is 5 + 38 = 43.
Hence, the correct answer is option B) 43.
Let's assume the first odd integer in the list is 'x'. Since the list contains consecutive odd integers, the next odd integer would be 'x + 2', the one after that would be 'x + 4', and so on.
We can find the sum of the list by using the average and the number of terms:
Average = Sum of terms / Number of terms
In this case, the average is given as 24 and the number of terms is 20. So, we can write the equation as:
24 = Sum of terms / 20
To find the sum of the terms, we can multiply the average by the number of terms:
Sum of terms = 24 * 20 = 480
Now, we can find the first odd integer in the list:
x + (x + 2) + (x + 4) + ... + (x + 38) = 480
To simplify the equation, we can group the terms:
20x + (2 + 4 + 6 + ... + 38) = 480
20x + 2(1 + 2 + 3 + ... + 19) = 480
20x + 2(19(19 + 1)/2) = 480
20x + 2(19 * 20/2) = 480
20x + 2(190) = 480
20x + 380 = 480
20x = 480 - 380
20x = 100
x = 100/20
x = 5
So, the first odd integer in the list is 5. Now, we need to find the largest odd integer in the list. Since the list contains consecutive odd integers, the largest odd integer would be the last term, which is 'x + 38' in this case.
Therefore, the largest odd integer in the list is 5 + 38 = 43.
Hence, the correct answer is option B) 43.
Community Answer
6. A list contains 20 consecutive odd integers. The average of these i...
B)43
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
6. A list contains 20 consecutive odd integers. The average of these integers is 24. What is the largest odd integer in the list? A) 45 B) 43 C) 41 D) 39?
Question Description
6. A list contains 20 consecutive odd integers. The average of these integers is 24. What is the largest odd integer in the list? A) 45 B) 43 C) 41 D) 39? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 6. A list contains 20 consecutive odd integers. The average of these integers is 24. What is the largest odd integer in the list? A) 45 B) 43 C) 41 D) 39? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 6. A list contains 20 consecutive odd integers. The average of these integers is 24. What is the largest odd integer in the list? A) 45 B) 43 C) 41 D) 39?.
6. A list contains 20 consecutive odd integers. The average of these integers is 24. What is the largest odd integer in the list? A) 45 B) 43 C) 41 D) 39? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 6. A list contains 20 consecutive odd integers. The average of these integers is 24. What is the largest odd integer in the list? A) 45 B) 43 C) 41 D) 39? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 6. A list contains 20 consecutive odd integers. The average of these integers is 24. What is the largest odd integer in the list? A) 45 B) 43 C) 41 D) 39?.
Solutions for 6. A list contains 20 consecutive odd integers. The average of these integers is 24. What is the largest odd integer in the list? A) 45 B) 43 C) 41 D) 39? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of 6. A list contains 20 consecutive odd integers. The average of these integers is 24. What is the largest odd integer in the list? A) 45 B) 43 C) 41 D) 39? defined & explained in the simplest way possible. Besides giving the explanation of
6. A list contains 20 consecutive odd integers. The average of these integers is 24. What is the largest odd integer in the list? A) 45 B) 43 C) 41 D) 39?, a detailed solution for 6. A list contains 20 consecutive odd integers. The average of these integers is 24. What is the largest odd integer in the list? A) 45 B) 43 C) 41 D) 39? has been provided alongside types of 6. A list contains 20 consecutive odd integers. The average of these integers is 24. What is the largest odd integer in the list? A) 45 B) 43 C) 41 D) 39? theory, EduRev gives you an
ample number of questions to practice 6. A list contains 20 consecutive odd integers. The average of these integers is 24. What is the largest odd integer in the list? A) 45 B) 43 C) 41 D) 39? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup