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The total number of students in three classes of a school is 297. The ratio of the number of students in 6th class to that in 7th class is 5 : 4 and the ratio of the number of students in 6th class to 8th class is 2 : 3. What is the number of the students in the class which has the highest number of students?
- a)120
- b)125
- c)135
- d)150
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The total number of students in three classes of a school is 297. The ...
Number of students → 6th : 7th : 8th = 5 × 2 : 4 × 2 : 3 × 5 = 10 : 8 : 15
Hence, option C is correct.
Hence, option C is correct.
Most Upvoted Answer
The total number of students in three classes of a school is 297. The ...
Understanding the Problem:
To solve this problem, we need to find the number of students in each class based on the given ratios. We know the total number of students in the three classes is 297.
Setting up Equations:
Let the number of students in the 6th, 7th, and 8th classes be 5x, 4x, and 3y respectively, where x and y are constants.
According to the given ratios:
5x + 4x + 3y = 297
5x : 4x = 5 : 4
5x : 3y = 2 : 3
Solving the Equations:
From the ratio 5x : 4x = 5 : 4, we get x = 36.
Substitute x = 36 into the first equation:
5(36) + 4(36) + 3y = 297
180 + 144 + 3y = 297
324 + 3y = 297
3y = 297 - 324
3y = -27
y = -9
Therefore, the number of students in the 6th, 7th, and 8th classes are 180, 144, and 108 respectively.
Calculating the Class with the Highest Number of Students:
The class with the highest number of students is the 6th class with 180 students.
Hence, the number of students in the class with the highest number of students is 180, which corresponds to option C) 135.
To solve this problem, we need to find the number of students in each class based on the given ratios. We know the total number of students in the three classes is 297.
Setting up Equations:
Let the number of students in the 6th, 7th, and 8th classes be 5x, 4x, and 3y respectively, where x and y are constants.
According to the given ratios:
5x + 4x + 3y = 297
5x : 4x = 5 : 4
5x : 3y = 2 : 3
Solving the Equations:
From the ratio 5x : 4x = 5 : 4, we get x = 36.
Substitute x = 36 into the first equation:
5(36) + 4(36) + 3y = 297
180 + 144 + 3y = 297
324 + 3y = 297
3y = 297 - 324
3y = -27
y = -9
Therefore, the number of students in the 6th, 7th, and 8th classes are 180, 144, and 108 respectively.
Calculating the Class with the Highest Number of Students:
The class with the highest number of students is the 6th class with 180 students.
Hence, the number of students in the class with the highest number of students is 180, which corresponds to option C) 135.
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The total number of students in three classes of a school is 297. The ratio of the number of students in 6th class to that in 7th class is 5 : 4 and the ratio of the number of students in 6th class to 8th class is 2 : 3. What is the number of the students in the class which has the highest number of students?a)120b)125c)135d)150Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2026 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about The total number of students in three classes of a school is 297. The ratio of the number of students in 6th class to that in 7th class is 5 : 4 and the ratio of the number of students in 6th class to 8th class is 2 : 3. What is the number of the students in the class which has the highest number of students?a)120b)125c)135d)150Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The total number of students in three classes of a school is 297. The ratio of the number of students in 6th class to that in 7th class is 5 : 4 and the ratio of the number of students in 6th class to 8th class is 2 : 3. What is the number of the students in the class which has the highest number of students?a)120b)125c)135d)150Correct answer is option 'C'. Can you explain this answer?.
The total number of students in three classes of a school is 297. The ratio of the number of students in 6th class to that in 7th class is 5 : 4 and the ratio of the number of students in 6th class to 8th class is 2 : 3. What is the number of the students in the class which has the highest number of students?a)120b)125c)135d)150Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2026 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about The total number of students in three classes of a school is 297. The ratio of the number of students in 6th class to that in 7th class is 5 : 4 and the ratio of the number of students in 6th class to 8th class is 2 : 3. What is the number of the students in the class which has the highest number of students?a)120b)125c)135d)150Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The total number of students in three classes of a school is 297. The ratio of the number of students in 6th class to that in 7th class is 5 : 4 and the ratio of the number of students in 6th class to 8th class is 2 : 3. What is the number of the students in the class which has the highest number of students?a)120b)125c)135d)150Correct answer is option 'C'. Can you explain this answer?.
Solutions for The total number of students in three classes of a school is 297. The ratio of the number of students in 6th class to that in 7th class is 5 : 4 and the ratio of the number of students in 6th class to 8th class is 2 : 3. What is the number of the students in the class which has the highest number of students?a)120b)125c)135d)150Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CGL. Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free.
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