Quant Exam > Quant Questions > The sum of four numbers is 253. The ratio of ...
Start Learning for Free
The sum of four numbers is 253. The ratio of the first number to the second number is 2:3. The ratio of the second number to the third number is 5:6. The ratio of the third number to the fourth number is 8:9. What is the average of the second number and the third number?
- a)72
- b)132
- c)60
- d)66
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The sum of four numbers is 253. The ratio of the first number to the s...
Let the 1stno. A = X
2nd no.= B , 3rd no.= C , 4th no. = D
A: B =2:3
A/B = 2/3
x/B =2/3
B= 3x/2
B:C=5:6
(3x/2)/ C= 5/6
C=( 6×3x)/2×5= 9x/5
C= 9x/5
C:D= 8:9
9x/5/ D = 8/9
D= (9x×9)/8×5= 81x/40
D= 81x/40
A+B+C+D= 253. (GIVEN)
x+ 3x/2+9x/5+81x/40
Lcm = 40
(40x+ 60x+ 72x+81x)/40= 253
253x= 253×40
X= (253×40)/253= 40
Ist no.(A)= X= 40
2no.(B)= 3x/2=( 3 × 40)/2= 60
3rd no.(C)= 9x/5 = (9×40)/5= 72
4th no.(D)= 81x/40=( 81×40/)/40= 81
Average of numbers= sum of observations/ total no.of observations
Average of 2nd no. & 3rd no.= (60+72)/2= 132/2= 66
2nd no.= B , 3rd no.= C , 4th no. = D
A: B =2:3
A/B = 2/3
x/B =2/3
B= 3x/2
B:C=5:6
(3x/2)/ C= 5/6
C=( 6×3x)/2×5= 9x/5
C= 9x/5
C:D= 8:9
9x/5/ D = 8/9
D= (9x×9)/8×5= 81x/40
D= 81x/40
A+B+C+D= 253. (GIVEN)
x+ 3x/2+9x/5+81x/40
Lcm = 40
(40x+ 60x+ 72x+81x)/40= 253
253x= 253×40
X= (253×40)/253= 40
Ist no.(A)= X= 40
2no.(B)= 3x/2=( 3 × 40)/2= 60
3rd no.(C)= 9x/5 = (9×40)/5= 72
4th no.(D)= 81x/40=( 81×40/)/40= 81
Average of numbers= sum of observations/ total no.of observations
Average of 2nd no. & 3rd no.= (60+72)/2= 132/2= 66
Most Upvoted Answer
The sum of four numbers is 253. The ratio of the first number to the s...
Given information:
- Sum of four numbers = 253
- Ratio of first number to second number = 2:3
- Ratio of second number to third number = 5:6
- Ratio of third number to fourth number = 8:9
Let's assume the four numbers as 2x, 3x, 5y, and 6y (where x and y are constants).
Using the given ratios, we can write:
- (2x + 3x + 5y + 6y) = 253 (sum of four numbers)
- 2x/3x = 2/3 (ratio of first number to second number)
- 3x/5y = 3/5 (ratio of second number to third number)
- 5y/6y = 5/6 (ratio of third number to fourth number)
Simplifying these equations, we get:
- 10x + 11y = 253
- x = (3/2)y
- x = (9/5)y
- y = 45
Therefore, the four numbers are: 30, 45, 225, and 270
The average of the second number and the third number = (45 + 225)/2 = 135
Hence, the correct answer is option D (66).
- Sum of four numbers = 253
- Ratio of first number to second number = 2:3
- Ratio of second number to third number = 5:6
- Ratio of third number to fourth number = 8:9
Let's assume the four numbers as 2x, 3x, 5y, and 6y (where x and y are constants).
Using the given ratios, we can write:
- (2x + 3x + 5y + 6y) = 253 (sum of four numbers)
- 2x/3x = 2/3 (ratio of first number to second number)
- 3x/5y = 3/5 (ratio of second number to third number)
- 5y/6y = 5/6 (ratio of third number to fourth number)
Simplifying these equations, we get:
- 10x + 11y = 253
- x = (3/2)y
- x = (9/5)y
- y = 45
Therefore, the four numbers are: 30, 45, 225, and 270
The average of the second number and the third number = (45 + 225)/2 = 135
Hence, the correct answer is option D (66).
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
The sum of four numbers is 253. The ratio of the first number to the second number is 2:3. The ratio of the second number to the third number is 5:6. The ratio of the third number to the fourth number is 8:9. What is the average of the second number and the third number?a)72b)132c)60d)66Correct answer is option 'D'. Can you explain this answer?
Question Description
The sum of four numbers is 253. The ratio of the first number to the second number is 2:3. The ratio of the second number to the third number is 5:6. The ratio of the third number to the fourth number is 8:9. What is the average of the second number and the third number?a)72b)132c)60d)66Correct answer is option 'D'. 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 The sum of four numbers is 253. The ratio of the first number to the second number is 2:3. The ratio of the second number to the third number is 5:6. The ratio of the third number to the fourth number is 8:9. What is the average of the second number and the third number?a)72b)132c)60d)66Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of four numbers is 253. The ratio of the first number to the second number is 2:3. The ratio of the second number to the third number is 5:6. The ratio of the third number to the fourth number is 8:9. What is the average of the second number and the third number?a)72b)132c)60d)66Correct answer is option 'D'. Can you explain this answer?.
The sum of four numbers is 253. The ratio of the first number to the second number is 2:3. The ratio of the second number to the third number is 5:6. The ratio of the third number to the fourth number is 8:9. What is the average of the second number and the third number?a)72b)132c)60d)66Correct answer is option 'D'. 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 The sum of four numbers is 253. The ratio of the first number to the second number is 2:3. The ratio of the second number to the third number is 5:6. The ratio of the third number to the fourth number is 8:9. What is the average of the second number and the third number?a)72b)132c)60d)66Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of four numbers is 253. The ratio of the first number to the second number is 2:3. The ratio of the second number to the third number is 5:6. The ratio of the third number to the fourth number is 8:9. What is the average of the second number and the third number?a)72b)132c)60d)66Correct answer is option 'D'. Can you explain this answer?.
Solutions for The sum of four numbers is 253. The ratio of the first number to the second number is 2:3. The ratio of the second number to the third number is 5:6. The ratio of the third number to the fourth number is 8:9. What is the average of the second number and the third number?a)72b)132c)60d)66Correct answer is option 'D'. 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 The sum of four numbers is 253. The ratio of the first number to the second number is 2:3. The ratio of the second number to the third number is 5:6. The ratio of the third number to the fourth number is 8:9. What is the average of the second number and the third number?a)72b)132c)60d)66Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The sum of four numbers is 253. The ratio of the first number to the second number is 2:3. The ratio of the second number to the third number is 5:6. The ratio of the third number to the fourth number is 8:9. What is the average of the second number and the third number?a)72b)132c)60d)66Correct answer is option 'D'. Can you explain this answer?, a detailed solution for The sum of four numbers is 253. The ratio of the first number to the second number is 2:3. The ratio of the second number to the third number is 5:6. The ratio of the third number to the fourth number is 8:9. What is the average of the second number and the third number?a)72b)132c)60d)66Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of The sum of four numbers is 253. The ratio of the first number to the second number is 2:3. The ratio of the second number to the third number is 5:6. The ratio of the third number to the fourth number is 8:9. What is the average of the second number and the third number?a)72b)132c)60d)66Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The sum of four numbers is 253. The ratio of the first number to the second number is 2:3. The ratio of the second number to the third number is 5:6. The ratio of the third number to the fourth number is 8:9. What is the average of the second number and the third number?a)72b)132c)60d)66Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant 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