# Quantitative Aptitude: Data Interpretation Questions Set 67 (Chapter Based)

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.

1. 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
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 â€“ 1/2 = 1/2 of work
Now project uncompleted after D left = 1/3
So D did = 1/2 â€“ 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
2. 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
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 â€“ (1/15 + 1/24)*y = 13/30
Solve, y = 4 days
3. 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%
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 â€“ (2/5 + 11/30) = 7/30
So % = 7/30 * 100 = 70/3%
4. 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
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 â€¦â€¦â€¦â€¦(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 â€˜yâ€™ days on project 4. So
1/15 *5 + 1/9 * 3 + 1/18 * 2 + 1/18 * y = 1 â€“ 1/6
Solve, y = 1 day
5. 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
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 â€“ 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
Aâ€™s work + Eâ€™s work + Dâ€™s work = 1 â€“ uncompleted work
1/12 + 5/8 + 5/x = 1 â€“ 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 â€“ 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, Câ€™s total investment was Rs 200 less than that of A that time.

1. If the ratio of total profit to Bâ€™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
Option E
Solution
:
3 equal intervals in 12 months = 4 months each
A invests â€“ 4x, 3y and 6y
B invests â€“ 2x, 4y and (4y+200)
C invests â€“ 3x, 3y and (3y+200)
Now given that 3x + 3y = 4x + 3y â€“ 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
2. 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
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.

1. 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
Option C
Solution
:
Profit of A + B = (17150 â€“ 5250) = Rs 11900
So (A+3200) : 3000 = 11900 : 5250
Solve A = Aâ€™s investment = Rs 3600
So ratio of profits A : B is 3600 : 3200 = 9 : 8
Divide their profit Rs 11900 in this ratio
So Aâ€™s profit = 9/17 * 11900 = Rs 6300
So required ratio = 3300 : 6300 = 11 : 21
2. 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%
Option B
Solution
:
Total investment of A and C is 8400 â€“ 2400 = Rs 6000 â€¦â€¦â€¦.(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 â€“ (3300+3850)) = Rs 4400
Now profit ratio of A : C is 4400 : 3850 = 8 : 7 which is also investment ratio of A and C â€¦â€¦â€¦(2)
From (1) and (2), investment 0f C = 7/15 * 6000 = 2800
So required % = (4400-2800)/2800 * 100 = 57%
3. 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
Option D
Solution
:
Profit earned by all in 2016 is Rs 17,400
(1800+2400/(2400+C) = 21/20
So, Câ€™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

## 35 Thoughts to “Quantitative Aptitude: Data Interpretation Questions Set 67 (Chapter Based)”

1. karthik

nice set of questions and hard to solve with in time..

2. deteminedd

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1. Pooja?

Thnku

3. Mission RRB PO

good ques
thanks az ðŸ™‚

4. KhuShBoo

1st dI tough
ty AZ

5. Jyoti rocking....

Gud 1

6. swati

stuck in time and work questions…..thank you team………az

mam grt questions.. amaznng yrr fasa diya apne aaj

8. Harshi Melody

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 â€“ (1/15 + 1/24)*y = 11/30
Solve, y = 4 days

1. 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

1. Harshi Melody

thank you mam…..
but (1/15+1/24)=8+5/120=13/120

2. deepali

pls see above m query

3. aspirant

mam inQ3 every pair works for 3days or 2days?nd in Q4 how to find da days on whch D completes the whole project?

1. 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.

1. aspirant

oh..yes..only 2 pairs r there..thanks mam

9. Debora dhiraviyam

thank you mam

10. deepali

MAM PRE M ANE K KTNE CHANCES HAH IS TYPE KI DI ?

11. deepali

@mod

1. deepali

8th qtn m 6300 to profit h ??? hmne investmnt tht is 3600 nhi leni thi?

1. Monkey D Luffy

#typo!

1. deepali

pre m aenge ese ,?,bina sol. dekhe time n wrk ka ek bhi n hua :/

1. Monkey D Luffy

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. ðŸ™‚

2. deepali

ohkay ðŸ™‚ hv to prepare fo worst :/like this typ

3. Monkey D Luffy

ðŸ™‚

2. Yes profit to be taken
And no in pre these will not be asked. Only in Mains

1. akshita singhal

Yrr pls koshish kr aise di daily dene ko

12. Soniya Nagpal

Anyone please explain 1/x+1/2x=1/6 in 4th question.

1. Soniya Nagpal

What is x and how x is 9

2. 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..

14. prasanna balaji

any1 slve 4 th ques?

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