Quant Exam > Quant Questions > Of the four numbers, the first is twice the s...
Start Learning for Free
Of the four numbers, the first is twice the second, the second is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75.The largest of these numbers is:
- a)45
- b)25
- c)30
- d)None of these
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Of the four numbers, the first is twice the second, the second is one-...
Answer – A (45) Explanation – Let the fourth number be a then hen, third number = 5a, second number= 5a/3 and first=10a/3 a+ 5a+ 5a/3 + 10/3 = 24.75 x 4 so,a=9 So, the numbers are 9, 45, 15 and 30
Most Upvoted Answer
Of the four numbers, the first is twice the second, the second is one-...
Given Information:
- The first number is twice the second number.
- The second number is one-third of the third number.
- The third number is 5 times the fourth number.
- The average of the four numbers is 24.75.
Let's assign variables to the numbers:
- Let the second number be x.
- The first number is twice the second number, so it is 2x.
- The second number is one-third of the third number, so the third number is 3x.
- The third number is 5 times the fourth number, so the fourth number is 3x/5.
Average of the four numbers:
To find the average of the four numbers, we add them up and divide by 4:
(2x + x + 3x + 3x/5) / 4 = 24.75
Simplifying the equation:
Multiply both sides of the equation by 4 to get rid of the denominator:
2x + x + 3x + 3x/5 = 99
Combining like terms:
Multiplying by 5 to eliminate the fraction:
10x + 5x + 15x + 3x = 495
33x = 495
Solving for x:
Divide both sides of the equation by 33:
x = 15
Finding the largest number:
The largest number is either the first, second, third, or fourth number. Since the first number is twice the second number, it is greater than the second number. The third number is 5 times the fourth number, so it is also greater than the fourth number.
Therefore, the largest number is the third number, which is 3x = 3(15) = 45.
Hence, the correct answer is option A) 45.
- The first number is twice the second number.
- The second number is one-third of the third number.
- The third number is 5 times the fourth number.
- The average of the four numbers is 24.75.
Let's assign variables to the numbers:
- Let the second number be x.
- The first number is twice the second number, so it is 2x.
- The second number is one-third of the third number, so the third number is 3x.
- The third number is 5 times the fourth number, so the fourth number is 3x/5.
Average of the four numbers:
To find the average of the four numbers, we add them up and divide by 4:
(2x + x + 3x + 3x/5) / 4 = 24.75
Simplifying the equation:
Multiply both sides of the equation by 4 to get rid of the denominator:
2x + x + 3x + 3x/5 = 99
Combining like terms:
Multiplying by 5 to eliminate the fraction:
10x + 5x + 15x + 3x = 495
33x = 495
Solving for x:
Divide both sides of the equation by 33:
x = 15
Finding the largest number:
The largest number is either the first, second, third, or fourth number. Since the first number is twice the second number, it is greater than the second number. The third number is 5 times the fourth number, so it is also greater than the fourth number.
Therefore, the largest number is the third number, which is 3x = 3(15) = 45.
Hence, the correct answer is option A) 45.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
Of the four numbers, the first is twice the second, the second is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75.The largest of these numbers is:a)45b)25c)30d)None of thesee)None of theseCorrect answer is option 'A'. Can you explain this answer?
Question Description
Of the four numbers, the first is twice the second, the second is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75.The largest of these numbers is:a)45b)25c)30d)None of thesee)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Of the four numbers, the first is twice the second, the second is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75.The largest of these numbers is:a)45b)25c)30d)None of thesee)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Of the four numbers, the first is twice the second, the second is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75.The largest of these numbers is:a)45b)25c)30d)None of thesee)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Of the four numbers, the first is twice the second, the second is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75.The largest of these numbers is:a)45b)25c)30d)None of thesee)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Of the four numbers, the first is twice the second, the second is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75.The largest of these numbers is:a)45b)25c)30d)None of thesee)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Of the four numbers, the first is twice the second, the second is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75.The largest of these numbers is:a)45b)25c)30d)None of thesee)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Of the four numbers, the first is twice the second, the second is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75.The largest of these numbers is:a)45b)25c)30d)None of thesee)None of theseCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of Of the four numbers, the first is twice the second, the second is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75.The largest of these numbers is:a)45b)25c)30d)None of thesee)None of theseCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Of the four numbers, the first is twice the second, the second is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75.The largest of these numbers is:a)45b)25c)30d)None of thesee)None of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Of the four numbers, the first is twice the second, the second is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75.The largest of these numbers is:a)45b)25c)30d)None of thesee)None of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Of the four numbers, the first is twice the second, the second is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75.The largest of these numbers is:a)45b)25c)30d)None of thesee)None of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Of the four numbers, the first is twice the second, the second is one-third of the third and the third is 5 times the fourth. The average of the numbers is 24.75.The largest of these numbers is:a)45b)25c)30d)None of thesee)None of theseCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
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