# Data Interpretation Practice Questions – Set 81

Data Interpretation Practice Questions – Set 81
Directions (1 – 5): Read the information given below and answer the questions followed:
Given below is table which shows the ratio of efficiency of both A and B on different days and total time taken by A and B to complete the work 1 if they complete whole work with the efficiency of different days.
There is also the line graph which shows the time taken by B to complete work 2 if it complete whole work with efficiency of different days.

 Days Efficiency of A and B Time taken by both to complete work 1 Mon 3 : 2 3 Tue 3 : 2 4 Wed 7 : 9 6 Thr 8 : 9 5 Fri 5 : 4 8
1. What is the ratio of time taken to complete work 1 by A alone if it complete work with efficiency of Monday to the time taken by A alone to complete work 2 if it complete work according to efficiency of Friday.
A) 5 : 8
B) 2 : 3
C) 1 : 2
D) 7 : 8
E) 4 : 9
2. Time taken by A alone to complete work 1 with efficiency as on Monday is what percent of more or less than time taken to complete work 1 by B with efficiency as of Wednesday,
A) 55 (1/8)
B) 53 (1/8)
C) 53 (3/8)
D) 55 (3/8)
E) none of these
3. If A complete whole of work 1 according to efficiency of different days then with efficiency of which day he will complete work 1 in least time.
A) Monday
B) Tuesday
C) Wednesday
D) Thursday
E) Friday
4. If they both decided to complete work 2 working alternatively starting from A then in what time work will be complete. (They complete whole work 2 working with e􀃕ciency as of on Wednesday)
A) 13 2/10
B) 15 7/9
C) 16 7/9
D) 9 1/3
E) 27 1/2
5. Number of days required by both to complete work 1 is what percent of number of days required by both to complete work 2 (if they both complete the whole work 1 and work 2 with efficiency of Thursday)
A) 2125/27%
B) 5300/23%
C) 2300/11%
D) 8000/23%
E) 10000/31%
Directions (6 – 10): Read the given data carefully and answer the given question.
Total Investment in thousand made by Abhimanyu and Arunoday is 6 different schemes (A, B, C, D, E, & F) is shown in bar graph
Table shows the ratio of investment of Abhimanyu and Arunoday.
 Scheme Ratio of Investments A 11 : 14 B 7 : 13 C 1 : 1 D 2 : 3 E 3 : 7 F 2 : 3
6. If scheme A offers simple Interest at R% per annum and total interest obtained from schemes A for 2 years is 11200 then find R% and share of interest of Abhimanyu
A) 8%, 4928
B) 6%, 7312
C) 5%, 5724
D) 8%, 5321
E) None of these
7. What is ratio of total investment of abhimanyu in scheme A, B and D together to the total investment made in scheme C,E and F by Arunoday
A) 913 : 2222
B) 1652 : 1325
C) 1711 : 1820
D) Both a & b
E) None of these
8. Average of investment made by Abhimanyu in scheme A, C is what % of average of investment made by Arunoday in scheme E and F (Approximately)
A) 80%
B) 75%
C) 100%
D) 90%
E) 110%
9. If scheme B and C offers simple interest at the rate of 10% and 100/3%respectively then find the total interest obtained from scheme B & C in 3 year given that Abhimanyu withdraw his total amount from scheme B in 3rd year whereas Arunoday withdraw his total amount in second year from scheme C.
A) 52520 Rs
B) 53373 Rs
C) 57225 Rs
D) 62250 Rs
E) None of these
10. What is the ratio of total amount invested by Abhimanyu to total amount invested by Arunoday in all the schemes together except schemes E and F.
A) 2311/3189
B) 2225/1333
C) 1553/1120
D) 1852/2021
E) None of these
Directions (11 – 15): Study the following graph carefully to answer the given questions
Time taken by the pipes to fill a tank/cistern (hours/minutes)
11. A large cistern can be filled by two pipes P and Q. How many minutes will it take to fill the Cistern from an empty state if Q is used for half the time and P and Q fill it together for the other half?
A) 6.5 minutes
B) 7.5 minutes
C) 8.5 minutes
D) 9.5 minutes
E) None of the Above
12. Two pipes M and N can fill a tank. If both the pipes are opened simultaneously, after how much time should N be closed so that the tank is full in 8 minutes?
A) 14 minutes
B) 12 minutes
C) 15 minutes
D) 18 minutes
E) None of the Above
13. Three pipe E, F, and R can fill a tank. If Pipe R alone can fill a tank in 24 minutes then the pipe R is closed 12 minutes before the tank is filled. In what time the tank is full?
A) 8.(5/13)
B) 8.(4/13)
C) 7.(4/13)
D) 8.(6/13)
E) None of these
14. Two pipes C and D can fill a cistern. If they are opened on alternate minutes and if pipe C is opened first, in how many minutes will the tank be full?
A) 4 minutes
B) 5 minutes
C) 2 minutes
D) 6 minutes
E) None of the Above
15. Two pipes, A and B are opened simultaneously and it is found that due to the leakage in the bottom, 17/7 minutes are taken extra to fill the tank. If the tank is full, in what approximate time would the leak empty it?
A) 27 minutes
B) 32 minutes
C) 36 minutes
D) 39 minutes
E) None of these
Solutions:
1. A) Let time taken by to complete work 1 individually with efficiency of Monday = 2x and 3x
So, 1/2x + 1/3x = 1/3 => 5/6x = 1/3 => x = 5/2
Let time taken by A & B to complete work 2 individually with efficiency of Friday = 4x and 5x
Since 5x = 10 => x = 2 => 4x = 8
Required ratio = (2 * 5/2)/8 = 5 : 8
2. B) Time taken by A to complete whole of work 1 with efficiency of Monday = 5 days
Time taken by B to complete whole of work 1 with efficiency of Wednesday 9x, 7x
So 1/9x + 1/7x = 6 => 16/63x = 1/6 => x = 32/21
So, 7x = 7 * 32/21 = 32/3 days
Therefore required % = {[(32/3) – 5]/(32/3)} * 100 = 53 1/8%
3. A) Whole work 1 completed by A with efficiency of Monday = 5 days
Whole work 1 completed by A with efficiency of Tuesday = 20/3 days
Whole work 1 completed by A with efficiency of Wednesday = 96/7 days
Whole work 1 completed by A with efficiency of Thursday = 85/8 days
Whole work 1 completed by A with efficiency of Friday = 72/5 days
4. B) B complete work 2 with efficiency of Wednesday is 14
Let A and B complete work 2 individually working with efficiency of Wednesday is 9x and 7x days
So, 7x = 14 => 9x = 18
First two day work of both = 1/14 + 1/18 = (9 + 7)/126 = 8/63
In 14 day part of work complete = 56/63
Remaining work = 1 – 56/63 = 1/9
A will complete 1/18 work on 15 day
Remaining will be complete by B on 16th day ie 7/9 day
So total time = 15 7/9 day
5. A) Required % = 5/(108/17) * 100 = 85/108 * 100 = 2125/27%
6. A) ATQ, 11200 = (70000 * R * 2)/100 => R = 8%
Share of Abhimanyu = 11/25 * 11200 = 4928
7. C) Required ratio = [(11/25 * 70) + (7/20 * 65) + (2/5 * 80)]/[(1/2 * 60) + (7/10 * 40) + (3/5 * 55)]
= (30.8 + 22.75 + 32)/(30 + 28 + 33)
= 85.55/91 = 1711 : 1820
8. C) Average of investment made by Abhimanyu in scheme A and C together is
=[( 11/25 * 70) + (1/2 * 60)]/2 = 60.8/2 = 30.4
Average of investment made in schemes E and F by Arunoday = [(7/10 * 40) + (3/5 * 55)]/2 = (28 + 33)/2 = 30.5
Required % = 30.4/30.5 * 100 ≈ 100%
9. C) Interest obtained from scheme B = (7/20 * 65 * 20/100) + (13/20 * 65 * 30/100) = 4.55 + 12.675 = 17225 Rs
Interest obtained from C = (½ * 60 * 3 * 1/3) + (1/2 + 60 * 3) = 30 + 10 = 40thousand
Therefore total interest = 177225 + 40000 = Rs.57225
10. A) Required ratio = [(11/25 * 70) + (7/20 * 65) + (1/2 * 60) + (2/5 * 80)]/[(14/25 * 70) + (13/20 * 65) + (1/2 * 60) + (3/5 * 80)]
= (30.8 + 22.75 + 30 + 32)/(39.2 + 42.25 + 30 + 48)
= 115.55/159.45 = 2311/3189
11. B) Part filled by P and Q = 1/15 + 1/10 = 1/6
Part filled by Q = 1/10
x/2(1/6 + 1/10) = 2/15 = 15/2 = 7.5 minutes
12. D) Required time = y(1-(t/x)) = 27(1-(8/24))= 18 minutes
13. B) Let T is the time taken by the pipes to fill the tank
(1/12 + 1/18 + 1/24)*(T – 12) + (1/12 + 1/18)*12 = 1
We will get T = 108/13 = 8 (4/13)
14. D) Pipe P can fill = 1/12
Pipe Q can fill = 1/4
For every two minutes, 1/12 + 1/4 = 1/3 Part filled
Total = 6 minutes
15. D) Total time taken by both pipes before the leak was developed = 60/7 minutes
now, leaks is developed which will take T time to empty the tank so, (1/15 +1/20 – 1/T) = 1/11
solve for T, we will get 660/17 minutes = 39 minutes (approx.)