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In an examination, ratio of number of students who passed to number of students who failed is 5:2. If 10 more students appeared for the exam then number of students failed was 5 more than earlier, then new ratio of number of students passed to number of students failed is 7:3.Then total number of students earlier is?
- a)120
- b)140
- c)160
- d)180
- e)Cannot be determined
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In an examination, ratio of number of students who passed to number of...
5x+y/2x+10-y = 7:3
and 2x+10-y- 2x =5
y =5
then x =20
total = (5+2)*20 = 140
and 2x+10-y- 2x =5
y =5
then x =20
total = (5+2)*20 = 140
Most Upvoted Answer
In an examination, ratio of number of students who passed to number of...
5x+y/2x+10-y = 7:3
and 2x+10-y- 2x =5
y =5
then x =20
total = (5+2)*20 = 140
and 2x+10-y- 2x =5
y =5
then x =20
total = (5+2)*20 = 140
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Community Answer
In an examination, ratio of number of students who passed to number of...
Given:
- The ratio of the number of students who passed to the number of students who failed in the examination is 5:2.
- If 10 more students appeared for the exam, the number of students who failed was 5 more than earlier.
- The new ratio of the number of students who passed to the number of students who failed is 7:3.
To find:
The total number of students earlier.
Solution:
Let's assume the initial number of students who passed is 5x and the initial number of students who failed is 2x.
Step 1: Find the initial number of students.
The total number of students earlier is the sum of the number of students who passed and the number of students who failed:
Total number of students earlier = 5x + 2x = 7x
Step 2: Find the number of students who failed after 10 more students appeared.
Since the number of students who failed was 5 more than earlier, it can be expressed as:
2x + 5 = 2x + 10
2x - 2x = 10 - 5
0 = 5
This is not possible, as it results in an incorrect equation. Therefore, this scenario is not possible.
Step 3: Find the new number of students who passed and failed.
Since the scenario in Step 2 is not possible, we need to go back to the initial number of students.
The new ratio of the number of students who passed to the number of students who failed is 7:3.
This means the number of students who passed is 7k and the number of students who failed is 3k for some value of k.
Step 4: Find the total number of students after 10 more students appeared.
The total number of students after 10 more students appeared can be expressed as:
Total number of students = (7k + 3k) + 10 = 10k + 10
Step 5: Find the value of k.
We know that the total number of students earlier is equal to the total number of students after 10 more students appeared.
Therefore, we can equate the equations from Step 1 and Step 4:
7x = 10k + 10
Step 6: Solve for x.
Since the question asks for the total number of students earlier, we need to find the value of x.
From Step 5, we have:
7x = 10k + 10
But we cannot determine the value of x with the given information. Therefore, the answer is e) Cannot be determined.
Conclusion:
The total number of students earlier cannot be determined from the given information.
- The ratio of the number of students who passed to the number of students who failed in the examination is 5:2.
- If 10 more students appeared for the exam, the number of students who failed was 5 more than earlier.
- The new ratio of the number of students who passed to the number of students who failed is 7:3.
To find:
The total number of students earlier.
Solution:
Let's assume the initial number of students who passed is 5x and the initial number of students who failed is 2x.
Step 1: Find the initial number of students.
The total number of students earlier is the sum of the number of students who passed and the number of students who failed:
Total number of students earlier = 5x + 2x = 7x
Step 2: Find the number of students who failed after 10 more students appeared.
Since the number of students who failed was 5 more than earlier, it can be expressed as:
2x + 5 = 2x + 10
2x - 2x = 10 - 5
0 = 5
This is not possible, as it results in an incorrect equation. Therefore, this scenario is not possible.
Step 3: Find the new number of students who passed and failed.
Since the scenario in Step 2 is not possible, we need to go back to the initial number of students.
The new ratio of the number of students who passed to the number of students who failed is 7:3.
This means the number of students who passed is 7k and the number of students who failed is 3k for some value of k.
Step 4: Find the total number of students after 10 more students appeared.
The total number of students after 10 more students appeared can be expressed as:
Total number of students = (7k + 3k) + 10 = 10k + 10
Step 5: Find the value of k.
We know that the total number of students earlier is equal to the total number of students after 10 more students appeared.
Therefore, we can equate the equations from Step 1 and Step 4:
7x = 10k + 10
Step 6: Solve for x.
Since the question asks for the total number of students earlier, we need to find the value of x.
From Step 5, we have:
7x = 10k + 10
But we cannot determine the value of x with the given information. Therefore, the answer is e) Cannot be determined.
Conclusion:
The total number of students earlier cannot be determined from the given information.
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In an examination, ratio of number of students who passed to number of students who failed is 5:2. If 10 more students appeared for the exam then number of students failed was 5 more than earlier, then new ratio of number of students passed to number of students failed is 7:3.Then total number of students earlier is?a)120b)140c)160d)180e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
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In an examination, ratio of number of students who passed to number of students who failed is 5:2. If 10 more students appeared for the exam then number of students failed was 5 more than earlier, then new ratio of number of students passed to number of students failed is 7:3.Then total number of students earlier is?a)120b)140c)160d)180e)Cannot be determinedCorrect answer is option 'B'. 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 In an examination, ratio of number of students who passed to number of students who failed is 5:2. If 10 more students appeared for the exam then number of students failed was 5 more than earlier, then new ratio of number of students passed to number of students failed is 7:3.Then total number of students earlier is?a)120b)140c)160d)180e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an examination, ratio of number of students who passed to number of students who failed is 5:2. If 10 more students appeared for the exam then number of students failed was 5 more than earlier, then new ratio of number of students passed to number of students failed is 7:3.Then total number of students earlier is?a)120b)140c)160d)180e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?.
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Solutions for In an examination, ratio of number of students who passed to number of students who failed is 5:2. If 10 more students appeared for the exam then number of students failed was 5 more than earlier, then new ratio of number of students passed to number of students failed is 7:3.Then total number of students earlier is?a)120b)140c)160d)180e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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