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
?
•          The new chairman of the Railway Board — Ashwani Lohani
•          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
•          The new Executive Director of Insolvency and Bankruptcy Board of India (IBBI) — Mamta Suri
•          The host city of the 2017 Women’s Asia Cup of International Basketball Federation (FIBA) — Bengaluru
•          The new Managing Director and CEO of Industrial Finance Corporation of India — E Sankara Rao
•          The present President of Sierra Leone — Ernest Bai Koroma
•          The financial year followed by the RBI — Jul I to Jun 30
•          The revised penalty set by TRAI on mobile operators for not meeting the benchmarks — Rs.5 lakhs
•          The joint venture life insurance firm between HDFC and Standard Life — HDFC Life
•          The sponsor bank of the Andhra Pradesh Grameena Vikas Bank (APGVB) — State Bank of India
•          The banknote denomination which will soon be introduced in fluorescent blue colour bearing the motif of `Hampi with Chariot’ – Rs.50
•          The chairman of the Committee on Doubling Farmers’ Income which submitted its report recently — Ashok Dalwai
•          The new Chairman and Managing Director of Hindustan Copper Limited — Santosh Sharma
•          The country where more than 400 people died in its capital in the recent mudslides caused by heavy rain — Sierra ‘Leone
•          The growth rate of India’s exports in Jul 2017 — 3.9 per cent
•          The retail inflation as measured by the consumer price index (CPI) in Jul 2017 — 2.36 per cent
•          The portal started by Akshay Kumar supported by National Informatics Centre (NIC) and powered by SBI —Bharat Ke Veer
•          The President of Kenya who was re-elected in the recent elections — Uhuru Kenyatta
•          The new Chairman of the Central Board of Film Certification (CBFC) — Prasoon Joshi
•          The firm which has launched a rival to the Google-owned YouTube named `Watch’ — Facebook
•          The estimated fiscal deficit as a per cent of GDP in 2017-18 as per the second volume of the Economic Survey for 2016-17 — 3.2 per cent
•          The amount to be paid by the RBI as dividend to the govt for the year ended Jun 30 — Rs.30,659 cr
•          The online marketplace which has received an investment of $2.5 bn from SoftBank Vision Fund — Flipkart
•          The state govt which has launched a new awareness drive called Namanzi Gange Jagriti Yatra— Uttar Pradesh
•          NASA’s spacecraft which is set to begin its final ultra-close orbits around Saturn before it ends its journey — Cassini
•          India’s ranking on 2017 Global Retirement Index (GRI) topped by Norway — 43rd
•          The first Indian to qualify for the final round of the World Championships in javelin throw — Davinder Singh Kang
• The former Union Minister of State for Water Resources who passed away recently — Sanwar Lai Jat
•          The venue of the recently concluded 15th BIMSTEC Ministerial Meeting — Kathmandu, Nepal
•          The new Chief Justice of India — Dipak Misra
•          The US athlete who defeated Usain Bolt to win 100m World Championships recently — Justin Gatlin
•          The state whose entire area was declared as “disturbed” under the AFSPA by the Centre recently — Assam
•          The bureaucrat who has been appointed as an Executive Director in the World Bank — S Aparna
•          The state which will get help from 2030 Water Resources Group (2030WRG) to raise $270 mn from the Green Climate Fund —Maharashtra
•          The first state to implement coal utilisation between power units in the country — Gujarat
•          The new Vice-Chairman of the NITI Aayog — Rajiv Kumar
•          The head of the High-Level Committee set up to review the Institutionalisation of Arbitration Mechanism in India — BN Srikrishna
•          The newly elected 13th Vice President of India — Venkaiah Naidu
•          Indian boxer who defeated Zulpikar Maimaitiali to retain the WBO Asia Pacific Super Middleweight title — Vijender Singh
•          The new increased authorised capital of NABARD — Rs.30,000 cr
•          The new Chairman and Managing Director (CMD) of the Small. Industries Development Bank of India — Mohammad Mustafa
•          The telecom firm whose merger with Bharti Airtel was cleared by the NCLT recently — Telenor
•          The city where a regional centre of the global rice research institute IRRI is to come up — Varanasi
•          The agency with which India has signed a pact for financing USD 329 mn for the rural roads in Gujarat —Asian Infrastructure Investment Bank (AIIB)
•          The person who won the recent Presidential elections in Rwanda —Paul Kagame
•          The country which has announced plans to protect demobilised members of the FARC rebel force — Colombia
•          The community in India which celebrated its New Year `Navroz’ on 17 Aug — Parsi
•          The new Managing Director and Chief Executive Officer of Karur Vysya Bank — PR Seshadri
•          The interest subvention to be provided to banks on short-term crop loans of up to Rs.3 lakh — 2 per cent
•          The city named world’s most liveable city in the Global Liveability Report 2017 — Melbourne — The least leavable city as per the report — Damascus.
•          The bank which has bagged the best performance award for SHG-bank linkage programme for Karnataka for 2015-16 and 2016-17 from Nabard —Corporation Bank
•          Winner of the Rogers Cup 2017 —Alexander Zverev
•          The city where India’s first museum on Partition of the Indian subcontinent has been set up — Amritsar
•          The country which has the fastest mobile Internet in the world as per Ookla—Norway
•          The state govt which has launched “Durgama Anchalare Malaria Nirakaran” (DAMON) programme to prevent the spread of malaria — Odisha
•          The bank which has been conferred `best performance award’ for 2015-16 and 2016-17 by Nabard — Karnataka Vikas Grameena Bank
•          The state which has launched ‘Indira Canteen’ scheme to provide food at low cost to the urban poor — Karnataka
•          The present Chief Executive Officer (CEO) of Prasar Bharati — Shashi Shekhar Vempati
•          The country which was declared free from polio by the WHO recently —Somalia
•          The firm which has topped Forbes’ list of the world’s 100 most innovative companies — salesforce.com
•          Winner of the 65th edition of the prestigibus Nehru Trophy (Boat Race) — Gabriel Chundan
•          The venue of the recent five-day India-ASEAN Youth Summit —Bhopal
•          Winner of the first Kesari Media Award —TJS George
•          The host of the Summer Olympics in 2028 — Los Angeles
•          The population of elephants in India as per the Elephant Census 2017 —27,312
•          The world’s oldest man certified by Guinness World Records who died recently aged 113 — Yisrael Kristal
•          The venues of the country’s first aviation university — Rae Bareli, Uttar Pradesh
•          The Indian sportsperson who has been appointed as the WHO Goodwill Ambassador for Physical Activity in South-East Asia Region — Milkha Singh
•          India’s next ambassador to the Republic of San Marino — Reenat Sandhu
•          The German nun also known as the Mother Teresa of Pakistan who passed away recently — Ruth Pfau
•          The new Chief Executive Officer (CEO) of Jet Airways — Vinay Dube
•          The acting chief executive officer of the National Payment Corporation of India — Dilip Asbe
•          The state which has passed a bill which reclassifies coconut as a `tree’ — Goa
•          The firm which has launched `Budding Star Programme’ to help its employees achieve their dreams — Flipkart
•          The newly re-elected Prime Minister of Papua New Guinea — Peter O’Neill
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?
Wow, fantastic blog layout! How long have you been blogging for? you make blogging look easy. The overall look of your site is great, as well as the content!
very good put up, i actually love this web site, keep on it
Hello my friend! I want to say that this article is awesome, nice written and include approximately all vital infos. I?d like to see more posts like this.JJ’s Ducted Gas Heating Repairs and Installation 162 Mitchell Rd, Lilydale VIC 3140 0412 531 821