New Pattern Data Interpretation Questions. SBI PO Mains chapter based Data Interpretation Questions – Time and Work, and Partnership.
Directions (1-5): The following table shows the number of days for which 4 individuals A, B, C and D worked on 5 different projects numbered 1 to 5. It also shows the part of respective project that could not be completed by individuals in time.
Some values are missing which are denoted by symbol (-). With the help of information in questions and table below answer the questions that follow.
- A and B started working on Project 1. They completed 1/3rd of work after which they left and C joined the project. C can complete the whole project in 12 days. After C worked for his assigned number of days, D joined the project and worked for his assigned number of days. Find the number of days in which D can complete the whole Project 1?
A) 15 days
B) 20 days
C) 18 days
D) 25 days
E) 12 days
View Answer
Option C
Solution:
A and B complete 1/3rd, C completed 1/12 * 2 = 1/6
Completed work before D joined is 1/3 + 1/6 = 1/2, so to be completed by D = 1 – 1/2 = 1/2 of work
Now project uncompleted after D left = 1/3
So D did = 1/2 – 1/3 = 1/6 of work
He worked for 3 days, means he complete 1/6th of work in 3 days. so he can do complete project 1 in 6/1 * 3 = 18 days
- A who can complete project 2 in 20 days, worked for 6 days. The ratio of number of days in which B and C can complete Project 2 alone is 5 : 8. D could not come to work for project 2. Find the number of days in which B and C can complete 13/30 of project 2 together, given that if D who can complete work in 12 days had also joined the project for 4 days, the project would have been completed.
A) 3 days
B) 6 days
C) 5 days
D) 4 days
E) 8 days
View Answer
Option D
Solution:
Number of days in which B and C can complete project 2 alone is 5x and 8x respectively.
Now if D also joined for 4 days, project would have been completed, means
6/20 + 3/5x + 4/8x + 4/12 = 1
11/10x = 11/30
x = 3
So B can complete project in 5x = 15 days, and C in 8x = 24 days.
So 13/30 work, B and C together – (1/15 + 1/24)*y = 13/30
Solve, y = 4 days
- Project 3 was to be completed in 6 days. To complete project in time, all A, B, C and D decided to work in pairs in alternate days. A and C on 1st day, B and D on 2nd day, A and C on 3rd, and so on. But they could not complete project in time. What percent of project 3 remain uncompleted if A, B, C and D can complete whole project 3 in 12, 18, 20 and 15 days respectively?
A) 27 3/4%
B) 21 2/5%
C) 25 1/4%
D) 24 2/3%
E) 23 1/3%
View Answer
Option E
Solution:
Project is to be completed in 6 days. They all worked in pairs on alternate means all worked for 3 days each.
So
On 1st day, work completed by A and C = 1/12 + 1/20 = 2/15
On 2nd day, work completed by B and D = 1/18 + 1/25 = 11/90
1st pair worked for 3 days, so work completed by them = 2/15 * 3 = 2/5
Similarly, by B and D = 11/90 * 3 = 11/30
So part of project uncompleted= 1 – (2/5 + 11/30) = 7/30
So % = 7/30 * 100 = 70/3%
- B and C can complete the whole project 4 in 6 days working together. A is 20% more efficient than C and 40% less efficient that B. How many days did D work on project 4 if D can complete whole project 4 in 18 days?
A) 5 days
B) 4 days
C) 2 days
D) 1 day
E) 6 days
View Answer
Option D
Solution:
Efficiency — A : C = 120 : 100 = 6 : 5
So days ratio = 5 : 6
Similarly, A : B = 60 : 100 = 3 : 5, so days 5 : 3
B/A = 3/5, A/C = 5/6
So ratio of days for B : A : C is 3 : 5 : 6 …………(1)
Now — B and C can complete the whole project 4 in 6 days working together, and ratio of no. of days in which they can complete work alone is B and C from (1) is 3 : 6 = 1 : 2
So
1/x + 1/2x = 1/6
Solve, x = 9
So B can complete work in 8 days, C in 18 days and then A in 15 days
Now, let D worked for ‘y’ days on project 4. So
1/15 *5 + 1/9 * 3 + 1/18 * 2 + 1/18 * y = 1 – 1/6
Solve, y = 1 day
- A, E and D worked on project numbered 5. B and C alone can complete whole project numbered 5 in 20 and 30 days respectively. E who is 3/2 times efficient than B and C together replaces both of them and worked for same number of days for which B and C had to work. A completed 1/12th of the work. Find in how many days all A, B, C, and D can complete the project 5 together.
A) 3 days
B) 6 days
C) 8 days
D) 11 days
E) 9 days
View Answer
Option B
Solution:
B and C together can complete work in 12 days [1/20 + 1/30 = 5/60 — 12 days]
Efficiency E : (B+C) = 3/2 : 1 = 3 : 2
So, ratio of number days = 2 : 3
3 == 12
1 == 4
So E can complete whole work in 2 == 8 days
Now E worked for (2+3) = 5 days – total days for which B and C worked.
So E completed 5/8 of work, A completed 1/12 of work. 1/12 is uncompleted work. Let x is no. of days in which D can complete whole work. So
A’s work + E’s work + D’s work = 1 – uncompleted work
1/12 + 5/8 + 5/x = 1 – 1/12
Solve, x = 24 = no. of days in which D can alone complete project 5.
A completed 1/12th work in 2 days, so he can complete whole project in 2*12 = 24 days
A = 24, B = 20, C = 30, D = 24
So together they can complete in – 1/24 + 1/20 + 1/30 + 1/24 = 1/6 — 6 days
Direction (6-7): Study the following charts and answer the questions that follow:
A, B and C enter into a partnership. They invest money 3 times in a year (12 months) in equal intervals. They start by investing money in ratio 4 : 2 : 3 for the first interval. For second interval, they invest money in ratio 3 : 4 : 3. And for the third interval, A invests double his previous investment, and B and C invest Rs 200 more than their respective previous investments. At the end of second interval, C’s total investment was Rs 200 less than that of A that time.
- If the ratio of total profit to B’s share in profit after a year is 34 : 11, find the total investment made by C?
A) Rs 1400
B) Rs 1800
C) Rs 2400
D) Rs 2200
E) Rs 2000
View Answer
Option E
Solution:
3 equal intervals in 12 months = 4 months each
A invests – 4x, 3y and 6y
B invests – 2x, 4y and (4y+200)
C invests – 3x, 3y and (3y+200)
Now given that 3x + 3y = 4x + 3y – 200
Solve, x = 200
Ratio of profits of A : B : C is
4x*4 + 3y*4 + 6y*4 : 2x*4 + 4y*4 + (4y+200)*4 : 3x*4 + 3y*4 + (3y+200)*4
(4x + 9y) : (2x + 8y + 200) : (3x + 6y + 200)
Put, x = 200
(200+9y) : (600+8y) : (800+6y)
Now:
(600+8y)/(2200+23y) = 11/34
Solve, y = 200
So total investment of C = 3x +3y + (3y+200) = Rs 2000
- After 8 months, had all invested double the amount than their respective previous investment what would be the total profit at the end of year? Given that difference between the shares of profit of B and C from total profit is Rs 1300 and total of shares of profits of A and C is Rs 16250
A) Rs 22650
B) Rs 26250
C) Rs 25350
D) Rs 22850
E) Rs 28450
View Answer
Option C
Solution:
Ratio of profits of A : B : C is
4x*4 + 3y*4 + 6y*4 : 2x*4 + 4y*4 + 8y*4 : 3x*4 + 3y*4 + 6y*4
x = 200
So ratio becomes
(800+9y) : (400+12y) : (600+9y)
Now
(400+12y-600-9y)/(1800+30y) * total profit = 1300
and
(800+9y+600+9y)/(1800+30y) * total profit = 16250
Divide both equations and solve, y = 200
So now ratio becomes
(800+9y) : (400+12y) : (600+9y) [put y = 200]
13 : 14 : 12
and 2/39 * total profit = 1300
Solve, total profit = Rs 25350
Direction (8-10): Read the following table to answer the following questions. Some values are missing in the table. Calculate the values as per given data in questions.
- If the total profit in 2014 is Rs 17,150, then find the ratio of the profit of B in 2015 to the profit of A in 2014.
A) 22 : 15
B) 25 : 16
C) 11 : 21
D) 20 : 13
E) 21 : 16
View Answer
Option C
Solution:
Profit of A + B = (17150 – 5250) = Rs 11900
So (A+3200) : 3000 = 11900 : 5250
Solve A = A’s investment = Rs 3600
So ratio of profits A : B is 3600 : 3200 = 9 : 8
Divide their profit Rs 11900 in this ratio
So A’s profit = 9/17 * 11900 = Rs 6300
So required ratio = 3300 : 6300 = 11 : 21
- Total investment made by A, B and C in 2015 was Rs 8400. Profit earned by A in 2015 is approximate what % more than the investment made by C in 2015?
A) 65%
B) 57%
C) 48%
D) 42%
E) 68%
View Answer
Option B
Solution:
Total investment of A and C is 8400 – 2400 = Rs 6000 ……….(1)
So ratio in shares of profit of B : (A+C) is 24 : 60 = 2 : 5
Now profit of B is Rs 3300
So 2/(2+5) *x = 11550
So x = total profit = Rs 11550
So profit of A = (11550 – (3300+3850)) = Rs 4400
Now profit ratio of A : C is 4400 : 3850 = 8 : 7 which is also investment ratio of A and C ………(2)
From (1) and (2), investment 0f C = 7/15 * 6000 = 2800
So required % = (4400-2800)/2800 * 100 = 57%
- Total profit earned by all in 2016 is Rs 17,400 and the ratio of investment made by A and B together and investment made by B and C together is 21 : 20. Then find the difference between the profit made by B and C in 2016.
A) Rs 2200
B) Rs 2800
C) Rs 3000
D) Rs 2400
E) None of these
View Answer
Option D
Solution:
Profit earned by all in 2016 is Rs 17,400
(1800+2400/(2400+C) = 21/20
So, C’s investment is Rs 1600
So ratio of their profit sharing is 9 : 12 : 8
So difference in profits of B and C is (12-8)/(9+12+8) * 17400 = Rs 2400
nice set of questions and hard to solve with in time..
BSC Match Point – October 2017
?
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• The former Chief Minister of Manipur who passed away recently — Rishang Keishing
• The convener of the committee to select movies for the Irittmational Film Festival of India (IFFI) — Vivek Agnihotri
• The state to which the NABARD has sanctioned a loan assistance of Rs.l,349.55 cr — Rajasthan
• The official name of Google’s Android 8.0 mobile operating system —Android Oreo
• The firm whose board has approved the acquisition of (51.11% equity stake) HPCL — ONGC
• The number of regional rural banks (RRBs) functioning in the country at present — 56
• The city where the first regional centre of the New Development Bank (NDB) was officially opened recently —Johannesburg
• The state which has taken the cloud-seeding project called Varshadhare’ to harness rain-bearing clouds —Karnataka
• The winner of the Indian Council of Food and Agriculture (ICFA)’s Global Agriculture Leadership Award — K Chandrasekhar Rao
• The new High Commissioner of Pakistan to India —Sohail Mahmood
• The bank which accounts for over 27 per cent of the total amount owed to public sector banks by wilful defaulters — SBI
• The number of medals won by the Indian contingent at the World Dwarf Games in Toronto, Canada — 37
• The new Goodwill Ambassador for Handicap International — Neymar
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• The new Managing Director and CEO of Industrial Finance Corporation of India — E Sankara Rao
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Thnku
good ques
thanks az 🙂
1st dI tough
ty AZ
Gud 1
stuck in time and work questions…..thank you team………az
mam grt questions.. amaznng yrr fasa diya apne aaj
Mam,Plz expln these steps in detail
2) So C can complete project in 5x = 15 days, and D in 8x = 24 days.
So 11/30 work, B and C together – (1/15 + 1/24)*y = 11/30
Solve, y = 4 days
x = 3
and then Number of days in which B and C can complete project 2 alone is 5x and 8x respectively.
so B alone in 15 days, C in 24 days
so together in 1 day they complete (1/15 + 1/24) = 11/120 work
We have to find the number of days in which B and C can complete 11/30 of project 2 together.
in 1 day 11/120 work, in y days 11/30 work
So
D1 * W2 = D2 * W1
1 * 11/30 = y * 11/120
thank you mam…..
but (1/15+1/24)=8+5/120=13/120
yes 13
pls see above m query
mam inQ3 every pair works for 3days or 2days?nd in Q4 how to find da days on whch D completes the whole project?
Yes In 4th, D’s days to be given in question
In 3 total days is 6 days na. So 3 days for A and C and 3 days for B and D.
oh..yes..only 2 pairs r there..thanks mam
thank you mam
MAM PRE M ANE K KTNE CHANCES HAH IS TYPE KI DI ?
@mod
8th qtn m 6300 to profit h ??? hmne investmnt tht is 3600 nhi leni thi?
#typo!
pre m aenge ese ,?,bina sol. dekhe time n wrk ka ek bhi n hua :/
no, questions of these kinds seldom come in pre exams, examiner tests your speed in prelims and in mains he tests your aptitude. This set is especially framed for mains point of view as far as the level of questions is concerned. 🙂
ohkay 🙂 hv to prepare fo worst :/like this typ
🙂
Yes profit to be taken
And no in pre these will not be asked. Only in Mains
Yrr pls koshish kr aise di daily dene ko
Anyone please explain 1/x+1/2x=1/6 in 4th question.
What is x and how x is 9
complete work alone is B and C from (1) is 3 : 6 = 1 : 2.. Let x is no of days taken by B , 2x by C
Now given in Q: B and C can complete the whole project 4 in 6 days working together
So 1/x + 1/2x = 1/6
ty az …
plz post more questions like this..
any1 slve 4 th ques?
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Also a thing to mention is that an online business administration study course is designed for learners to be able to smoothly proceed to bachelors degree programs. The 90 credit college degree meets the lower bachelor diploma requirements and when you earn your own associate of arts in BA online, you will have access to the latest technologies in this field. Some reasons why students are able to get their associate degree in business is because they are interested in the field and want to get the general education and learning necessary in advance of jumping right bachelor education program. Many thanks for the tips you really provide as part of your blog.
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It is indeed my belief that mesothelioma can be the most fatal cancer. It’s got unusual features. The more I look at it the harder I am convinced it does not react like a true solid tissues cancer. When mesothelioma is a rogue virus-like infection, therefore there is the prospects for developing a vaccine as well as offering vaccination for asbestos exposed people who are at high risk associated with developing long run asbestos connected malignancies. Thanks for expressing your ideas on this important health issue.
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One thing I’d really like to say is before purchasing more laptop memory, check out the machine in which it would be installed. If your machine is actually running Windows XP, for instance, the memory limit is 3.25GB. Putting in in excess of this would merely constitute a new waste. Make sure one’s motherboard can handle the upgrade amount, as well. Interesting blog post.
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I have really learned newer and more effective things from the blog post. One other thing I have observed is that in most cases, FSBO sellers can reject anyone. Remember, they can prefer to not use your providers. But if a person maintain a steady, professional relationship, offering guide and remaining in contact for around four to five weeks, you will usually manage to win a discussion. From there, a house listing follows. Many thanks
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Thanks for your article. What I want to say is that when looking for a good internet electronics go shopping, look for a site with complete information on key elements such as the level of privacy statement, basic safety details, payment options, along with terms plus policies. Always take time to read the help and also FAQ areas to get a superior idea of the way the shop will work, what they are capable of doing for you, and ways in which you can take full advantage of the features.
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Thanks for your posting. I would like to say that the first thing you will need to conduct is determine if you really need fixing credit. To do that you must get your hands on a duplicate of your credit score. That should not be difficult, because government necessitates that you are allowed to be issued one free of charge copy of your credit report each year. You just have to ask the right people today. You can either look into the website with the Federal Trade Commission or perhaps contact one of the leading credit agencies straight.
Thanks for the thoughts you are sharing on this web site. Another thing I’d like to say is that often getting hold of some copies of your credit history in order to inspect accuracy of each detail would be the first measures you have to undertake in credit score improvement. You are looking to thoroughly clean your credit report from destructive details problems that screw up your credit score.
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I have realized that over the course of making a relationship with real estate proprietors, you’ll be able to get them to understand that, in most real estate financial transaction, a percentage is paid. Finally, FSBO sellers don’t “save” the commission rate. Rather, they fight to win the commission by means of doing a good agent’s task. In doing this, they spend their money and time to carry out, as best they are able to, the jobs of an agent. Those obligations include displaying the home via marketing, presenting the home to buyers, creating a sense of buyer desperation in order to trigger an offer, organizing home inspections, controlling qualification investigations with the bank, supervising maintenance tasks, and assisting the closing.
Thanks for the something totally new you have revealed in your post. One thing I’d prefer to touch upon is that FSBO connections are built as time passes. By bringing out yourself to owners the first weekend break their FSBO is usually announced, prior to the masses start off calling on Mon, you generate a good interconnection. By mailing them resources, educational materials, free reviews, and forms, you become a good ally. By taking a personal affinity for them and their problem, you build a solid interconnection that, many times, pays off if the owners opt with an agent they know as well as trust – preferably you actually.
Thanks for your post. One other thing is individual states in the United states of america have their unique laws which affect property owners, which makes it very hard for the Congress to come up with a brand new set of guidelines concerning foreclosed on householders. The problem is that a state offers own laws which may have impact in an adverse manner with regards to foreclosure insurance plans.
Heya this is somewhat of off topic but I was wanting to know if blogs use WYSIWYG editors or if you have to manually code with HTML. I’m starting a blog soon but have no coding know-how so I wanted to get guidance from someone with experience. Any help would be greatly appreciated!
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Audio started playing when I opened up this web site, so frustrating!
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I have noticed that online degree is getting well-known because obtaining your college degree online has become a popular choice for many people. Numerous people have never had a possible opportunity to attend a regular college or university nonetheless seek the increased earning potential and career advancement that a Bachelor Degree offers. Still other people might have a degree in one training but want to pursue some thing they now develop an interest in.
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Hi there just wanted to give you a quick heads up. The words in your post seem to be running off the screen in Firefox. I’m not sure if this is a formatting issue or something to do with web browser compatibility but I thought I’d post to let you know. The design and style look great though! Hope you get the issue fixed soon. Thanks
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