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Earn 100

Tanveer constructs a wall working in a special way and takes 12 days to complete it. If Sn is the length of the wall (in m) that he constructs on the nth day, then

Sn=2n,0≤n≤4

Sn=8 for n=5

Sn=3n-7,6≤n≤12

 Find the total length of the wall he constructs in the first 10 days.

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Important Questions on Arithmetic

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IMPORTANT
Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 13
Alok, Mithilesh, and Bimlesh started a work and after completing 15th of the work Bimlesh left. Alok and Mithilesh then worked for 20 days. Bimlesh then took over from Alok and Mithilesh and completed the remaining portion of the work in 12 days. If Bimlesh takes 40 days to complete the work, in how many days would Alok alone or Mithilesh alone complete the work if the efficiencies with which they work is the same? 
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 14
Sixty-four men working 8 ha day plan to complete a piece of work in 9 days. However, 5 days later they found that they had completed only 40% of the work. They now wanted to finish the remaining portion of the work in 4 more days. How many hours per day should they need to work in order to achieve the target? 
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 23
The rate of flow of water (in litre per min) of three pipes are 2, N and 3, where 2 < N < 3. The lowest and the highest flow rates are both decreased by a certain quantity x, while the intermediate rate is left unchanged. If the reciprocals of the three flow rates, in the order given above, are in arithmetic progression both before and after the change, then what is the quantity x (in litre per min)? (Negative flow rates indicate that the pipes act as emptying pipes instead of filling pipes.
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 36

Two poles, one 78 m in height above the ground and the other 91 m in height above the ground, are at some distance from each other. Two strings are tied, one from the top of one pole to the bottom of the other and the other from the top of the second pole to the bottom of the first. What is the height above the ground at which the string meets?

(Note: You may wonder why this question, which is apparently using the concepts of geometry, is placed in this chapter. Look at the solution to find the traces of the similarity in the formation of this problem and the time and work concept.)

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 37
The daily work of 2 men is equal to that of 3 women or that of 4 youngsters. By employing 14 men, 12 women, and 12 youngsters a certain work can be finished in 24 days. If it is required to finish it in 14 days and as an additional labour, only men are available, how many of them will be required?
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 38
Two Pipes A and B can fill a cistern in 1212 and 15 h, respectively. If the pipes can be opened or closed only after every 30 min (i.e., at 6.00, 6.30,etc.) and the tank is to be filled by using both the pipes without any overflow then,
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 39
A, B, and Care assigned a piece of job that they can complete by working together in 15 days. Their efficiencies (measured in terms of rate of doing job) are in the ratio of 1:2:3. After one-third of the job is completed, one of them has to be withdrawn due to budget constraint. Their wages per day are in the ratio of 3 : 5 : 6. The number of days in which the remaining two persons can finish the job (at optimal cost) is:
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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 47
Labour allocation is a very important process. A particular weaving section has 20 looms and with five labourers, loom efficiency is 75%. The production of a loom at 100% efficiency is 10 m/h. Salary of a labourer is ₹11,000 per month. I removed one labourer due to which the efficiency came down to 70%. How much do I gain or loose due to this action? (Assume that the profit on 1 m cloth is ₹ 4 and the looms are working for 30 days in a month and 10 hours per day.)