All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
Quant Exam  >  Quant Questions  >  Anup can dig a well in 10 days. but particula... Start Learning for Free
SaveJoin the Discussion on the App
Anup can dig a well in 10 days. but particularly in difficult time the work is such that due to fatigue every subsequent day efficiency of a worker falls by 10%.If Anup is given a task of digging one such well in the difficult time, then in how many days will he finish the work?

  • a)
    12th day

  • b)
    15 th day

  • c)
    11th day

  • d)
    Never

Correct answer is option 'D'. Can you explain this answer?
FREE This question is part of
Download PDF Attempt Test
Download PDF Attempt this Test
Verified Answer
Anup can dig a well in 10 days. but particularly in difficult time the...
Let us assume that digging one well = 40 unit


Efficiency of Anup = 40/10 = 4 unit/day


Now efficiency is falling by 10%


So, this is case of GP


⇒ 4,18/5,81/25,…… where common ratio = 9/10


Now, sum of infinite GP = a / (1 – r)


⇒ 4/ (1 – 9/10) = 40


Hence, it is clear that Anup will takes infinite time, so he will never finish the work.
View all questions of this test
Most Upvoted Answer
Anup can dig a well in 10 days. but particularly in difficult time the...
Efficiency of Workers

Anoop and Sandeep have different efficiencies when it comes to digging a well. Anoop can dig a well in 10 days while Sandeep can dig a well in 5 days.

Fatigue and Reduced Efficiency

However, due to the difficult terrain, the efficiency of a worker falls by 10% every subsequent day. This means that the amount of work that Anoop can do in a day decreases by 10% for every day that he works on the well.

Calculating the Time Taken

To calculate the time taken by Anoop to dig a well in the difficult terrain, we need to take into account his reduced efficiency. Let's assume that the well is of a size that would normally take Anoop 10 days to dig. On the first day, Anoop will be able to work at his normal efficiency and complete 1/10th of the work.

On the second day, his efficiency will fall by 10%, which means that he will only be able to complete 90% of the work that he would normally be able to do. This means that on the second day, he will only be able to complete 9/100th of the work.

Similarly, on the third day, his efficiency will fall by another 10%, which means that he will only be able to complete 81% of the work that he would normally be able to do. This means that on the third day, he will only be able to complete 81/1000th of the work.

Continuing in this way, we can see that Anoop will never be able to complete the well. This is because his efficiency falls so quickly that he will not be able to complete even a small amount of work each day.

Therefore, the correct answer is option 'D' - never.
Free Test
FREE
Start Free Test
Start Free Test
Community Answer
Anup can dig a well in 10 days. but particularly in difficult time the...
The total no. of days in which Anoop can dig the well is 10 days.
thetefore, Anoop's one day efficiency is 10%.
if on day one Anoop performs 10% of his work efficiency, then the next day he won't be able to perform because as per the question the efficiency of a worker falls by 10%.
thus, 10%-10% = 0.
Anoop will never be able to dig the well.
Hence, option D.
< Previous Question Next Question >
Explore Courses for Quant exam

Similar Quant Doubts

To maximize profits, an employer should control his or her environment in a factory, shop, or office and make sure that examples of energy and efficiency are numerous enough to catch employee attention and establish an atmosphere of industry. In the workplace, there are instances in which it would be in the mutual interest of the employer and the employees to increase the speed of work, but conditions may limit or forbid the use of pace-setters. In construction work and in some of the industries, where there are minute subdivisions of operations and continuity of processes, this method of increasing efficiency is very commonly applied with the use of time cards and software. In many factories, however, such an effort to speed up production might stir resentment, even among the workers paid at a fixed rate for each unit produced or action performed, and have an effect exactly opposite to that desired. The alternative, of course, is for the employer to secure unconscious pace setting by providing incentives for the naturally ambitious men and women in the way of a premium or bonus system or other reward for above-average efficiency.Accordingly, to take advantage of the benefits of conscious or voluntary imitation, workers must be provided with examples that appeal to them as admirable and inspire the wish to emulate them. A common application of this principle is seen in the choice of department heads, foremen, and other bosses. Invariably these people win promotion by industry, skill, and efficiency greater than that displayed by their direct peers, or by mastery of their skills that enables them to show their less efficient peers how any and all operations should be conducted. This focusing of attention upon individuals worthy of imitation has been carried much farther by various companies. Some create weekly or monthly papers published primarily for circulation within the organization to record every incident reflecting unusual skill, initiative, or personal power in an individual member of the organization. A big order closed, a difficult contract secured, a complex or delicate operation performed in less than the usual time, a new personal record in production, the invention of an unproved method or machinewhatever the achievement, it is described and glorified, its perpetrator praised and held up for emulation. This, indeed, is one of the methods by which the larger sales organizations have obtained remarkable results.The author of the passage mentions a big order closed, a difficult contract secured, a complex or delicate operation performed in less than the usual time, etc., in order to

Anup can dig a well in 10 days. but particularly in difficult time the work is such that due to fatigue every subsequent day efficiency of a worker falls by 10%.If Anup is given a task of digging one such well in the difficult time, then in how many days will he finish the work?a)12th dayb)15 th dayc)11th dayd)NeverCorrect answer is option 'D'. Can you explain this answer?
Question Description
Anup can dig a well in 10 days. but particularly in difficult time the work is such that due to fatigue every subsequent day efficiency of a worker falls by 10%.If Anup is given a task of digging one such well in the difficult time, then in how many days will he finish the work?a)12th dayb)15 th dayc)11th dayd)NeverCorrect answer is option 'D'. 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 Anup can dig a well in 10 days. but particularly in difficult time the work is such that due to fatigue every subsequent day efficiency of a worker falls by 10%.If Anup is given a task of digging one such well in the difficult time, then in how many days will he finish the work?a)12th dayb)15 th dayc)11th dayd)NeverCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Anup can dig a well in 10 days. but particularly in difficult time the work is such that due to fatigue every subsequent day efficiency of a worker falls by 10%.If Anup is given a task of digging one such well in the difficult time, then in how many days will he finish the work?a)12th dayb)15 th dayc)11th dayd)NeverCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Anup can dig a well in 10 days. but particularly in difficult time the work is such that due to fatigue every subsequent day efficiency of a worker falls by 10%.If Anup is given a task of digging one such well in the difficult time, then in how many days will he finish the work?a)12th dayb)15 th dayc)11th dayd)NeverCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant. Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of Anup can dig a well in 10 days. but particularly in difficult time the work is such that due to fatigue every subsequent day efficiency of a worker falls by 10%.If Anup is given a task of digging one such well in the difficult time, then in how many days will he finish the work?a)12th dayb)15 th dayc)11th dayd)NeverCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Anup can dig a well in 10 days. but particularly in difficult time the work is such that due to fatigue every subsequent day efficiency of a worker falls by 10%.If Anup is given a task of digging one such well in the difficult time, then in how many days will he finish the work?a)12th dayb)15 th dayc)11th dayd)NeverCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Anup can dig a well in 10 days. but particularly in difficult time the work is such that due to fatigue every subsequent day efficiency of a worker falls by 10%.If Anup is given a task of digging one such well in the difficult time, then in how many days will he finish the work?a)12th dayb)15 th dayc)11th dayd)NeverCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Anup can dig a well in 10 days. but particularly in difficult time the work is such that due to fatigue every subsequent day efficiency of a worker falls by 10%.If Anup is given a task of digging one such well in the difficult time, then in how many days will he finish the work?a)12th dayb)15 th dayc)11th dayd)NeverCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Anup can dig a well in 10 days. but particularly in difficult time the work is such that due to fatigue every subsequent day efficiency of a worker falls by 10%.If Anup is given a task of digging one such well in the difficult time, then in how many days will he finish the work?a)12th dayb)15 th dayc)11th dayd)NeverCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Quant tests.
Explore Courses for Quant exam

Suggested Free Tests

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup