Class 11 CBSE Applied Maths Quantitative Aptitude Exercise 3.4

Class 11 CBSE Applied Maths aims to develop an understanding of basic mathematical and statistical tools and their applications in the field of commerce (business/ finance/economics) and social sciences. Topics covered in Class 11th Applied Maths includes : Numbers, Quantification and Numerical Applications, Algebra, Calculus, quan Distributions , Inferential Statistics, Index Numbers and Time-based data , Financial Mathematics , Linear Programming.


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Q1. Ramdin can reap a field in 30 days. What part of the field would he have reaped in 25 days?

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Q2. A farnmer can reap a field in 10 days while his wife can do it in 8 days (she does not waste time in smoking). If they work together, in how much time can they reap the field?

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Q3. A can do a job in 10 days while B can do it in 15 days. If they work together and earn ₹3500. how should they share the money?

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Q4. A and B together can paint a room in 2 days. A along can do it in 3 days. How many days would B require working along to paint the room?

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Q5. A can do 1/5th of a certain work in 2 days and B can do 2/3rd of it in 8 days. In how much time can they together complete the work?

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Q6. One tap fills a tank in 20 minutes and another tap fills it in 12 minutes. The tank being emnh. and if both taps are opened together, in how many minutes the tank will be full?

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Q7. A can do a work in 6 days and B can do it in 8 days. They worked together for 2 days and then B left the work. How many days will A require to finish the work?

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Q8. A can do a piece of work in 40 days. He works at it for 8 days and then B finishes the remaining work in 16 days. How long will they take to complete the work if they do it together?

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Q9. A and B separately do a work in 10 and 15 days respectively. They worked together for some days and then A completed the remaining work in 5 days. For how many days had A and B worked together?

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Q10. If 3 women or 5 girts take 17 days to complete a piece of work, how long will 7 women and 11 girls working together take to complete the work?

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Q11. A, B and C can separately do a work in 2, 6 and 3 days respectively. Working together, how much time would they require to do it? If the work earns them ₹960, how should they divide the money?

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Q12. A, B and C together can do a piece of work in 15 days, B alone can do it in 30 days and C alone can do it in 40 days. In how many days will A alone do the work?

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Q13. A, B and C together can do a piece of work in 15 days, B alone can do it in 30 days and C alone can do it in 40 days. In how many days will A alone do the work?

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Q14. A is three times as efficient as B. Also A takes 30 days less than B for doing a piece of work. Find the time taken by them if they work () individually (i) together.

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Q15. A is 30% more efficient than B. How much time will they take working together to complete a job which A alone could have done in 23 days?

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Q16. A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together they can finish the work in 2 days. Find the number of days in which A, B or C can finish the work alone.

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Q17. A pipe can fill a tank in 12 hours. By mistake, a waste pipe at the bottom is left opened and the tank is filled in 16 hours. If the tank is full, how much time will the waste pipe take to empty it?

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Q18. If 4 goats or 6 sheep can graze a field in 40 days, how many days will 4 goats and 14 sheep take to graze the same field?

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Q19. One tap can fill a tank in 20 hours, while the other can empty it in 30 hours. The tank being empty and both taps are opened together, how long will it take for the tank to be half full?

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