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A, B, C are 3 girls and there are 770 Apples. For every 4 Apples, A takes,B takes 3. For ever 6 Apples, C takes 7 Apples? How much A takes?
- a)305
- b)268
- c)198
- d)264
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A, B, C are 3 girls and there are 770 Apples. For every 4 Apples, A ta...
Let ‘x’ be no of apples A have
A= x; B= 3x/4 ; C= 7x/6
x +(3x/4) +(7x/6) = 770
A= x = 264
B =198
C =308
Most Upvoted Answer
A, B, C are 3 girls and there are 770 Apples. For every 4 Apples, A ta...
Given:
- 8 girls and 12 boys can finish work in 10 days
- 6 girls and 8 boys can finish work in 14 days
Let's assume that the amount of work is 1 unit.
Let's denote the time taken by one girl alone to finish the work as 'g' and the time taken by one boy alone to finish the work as 'b'.
From the first statement, we can write:
- In one day, the work done by 8 girls and 12 boys = 1/10
- In one day, the work done by one girl = 1/(8g)
- In one day, the work done by one boy = 1/(12b)
- So, in one day, the work done by 8 girls and 12 boys = 8/(8g) + 12/(12b) = 1/10
From the second statement, we can write:
- In one day, the work done by 6 girls and 8 boys = 1/14
- In one day, the work done by one girl = 1/(6g)
- In one day, the work done by one boy = 1/(8b)
- So, in one day, the work done by 6 girls and 8 boys = 6/(6g) + 8/(8b) = 1/14
Now, we have two equations and two variables (g and b). We can solve for g and b using these equations.
8/(8g) + 12/(12b) = 1/10
6/(6g) + 8/(8b) = 1/14
Simplifying these equations, we get:
1/g + 1/b = 1/80
1/g + 1/b = 1/84
Subtracting the second equation from the first, we get:
0 = 1/80 - 1/84
Solving for this, we get:
1/80 = 1/g + 1/b
1/g = 1/140
1/b = 1/280
Therefore, the time taken by one girl alone to finish the work is 140 days and the time taken by one boy alone to finish the work is 280 days. Hence, the correct answer is option B.
- 8 girls and 12 boys can finish work in 10 days
- 6 girls and 8 boys can finish work in 14 days
Let's assume that the amount of work is 1 unit.
Let's denote the time taken by one girl alone to finish the work as 'g' and the time taken by one boy alone to finish the work as 'b'.
From the first statement, we can write:
- In one day, the work done by 8 girls and 12 boys = 1/10
- In one day, the work done by one girl = 1/(8g)
- In one day, the work done by one boy = 1/(12b)
- So, in one day, the work done by 8 girls and 12 boys = 8/(8g) + 12/(12b) = 1/10
From the second statement, we can write:
- In one day, the work done by 6 girls and 8 boys = 1/14
- In one day, the work done by one girl = 1/(6g)
- In one day, the work done by one boy = 1/(8b)
- So, in one day, the work done by 6 girls and 8 boys = 6/(6g) + 8/(8b) = 1/14
Now, we have two equations and two variables (g and b). We can solve for g and b using these equations.
8/(8g) + 12/(12b) = 1/10
6/(6g) + 8/(8b) = 1/14
Simplifying these equations, we get:
1/g + 1/b = 1/80
1/g + 1/b = 1/84
Subtracting the second equation from the first, we get:
0 = 1/80 - 1/84
Solving for this, we get:
1/80 = 1/g + 1/b
1/g = 1/140
1/b = 1/280
Therefore, the time taken by one girl alone to finish the work is 140 days and the time taken by one boy alone to finish the work is 280 days. Hence, the correct answer is option B.
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A, B, C are 3 girls and there are 770 Apples. For every 4 Apples, A takes,B takes 3. For ever 6 Apples, C takes 7 Apples? How much A takes?a)305b)268c)198d)264Correct answer is option 'D'. Can you explain this answer?
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A, B, C are 3 girls and there are 770 Apples. For every 4 Apples, A takes,B takes 3. For ever 6 Apples, C takes 7 Apples? How much A takes?a)305b)268c)198d)264Correct answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A, B, C are 3 girls and there are 770 Apples. For every 4 Apples, A takes,B takes 3. For ever 6 Apples, C takes 7 Apples? How much A takes?a)305b)268c)198d)264Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B, C are 3 girls and there are 770 Apples. For every 4 Apples, A takes,B takes 3. For ever 6 Apples, C takes 7 Apples? How much A takes?a)305b)268c)198d)264Correct answer is option 'D'. Can you explain this answer?.
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