Data Interpretation Questions play an important role in all the competitive exams, so we are providing here the most expected Data Interpretation Set Which will help you to boost your Data Interpretation skills. All the aspirants who are preparing for bank examinations or other competitive examinations can take benefits from this set.
Directions (1 â€“ 5): Study the following information carefully and answer the questions give below:
The bar graph 1 shows the time taken by five pipes (A, B, C, D and E) to fill a tank
The bar graph 2 shows the time taken by five pipes (P, Q, R, S and T) to empty the tank
The following table shows the ratio of time taken by pipes to fill the tank.
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Question 1 of 5
1. Question
Pipe A and Pipe B opened simultaneously for 4 minutes, then closed and then pipe F and pipe Q are opened for 2 minutes, and then closed. Find the time taken by pipe G to fill the remaining part of the tank.
Correct
Part of the tank filled by pipe A in one minute = 1/12
Part of the tank filled by pipe B in one minute = 1/15
Time taken by pipe F to fill the tank = 4/3 x 12 = 16 minutes
Part of the tank filled by pipe F in one minute = 1/16
Time taken by pipe G to fill the tank = 2/3 x 15 = 10 minutes
Part of the tank filled by pipe G in one minute = 1/10
Part of the tank emptied by pipe Q in one minute = 1/18
Let required time = t minutes
According to the question
4/15 + 4/12 + 2/16 â€“ 2/18 + t/10 = 1
=> t/10 = 1 â€“ 4/15 â€“ 1/3 â€“ 1/8 + 1/9
=> t/10 = (360 â€“ 120 â€“ 90 â€“ 45 + 40)/360
=> t/10 = 139/360
=> t = 139/360 x 10
=> t = 139/36 minutesIncorrect
Part of the tank filled by pipe A in one minute = 1/12
Part of the tank filled by pipe B in one minute = 1/15
Time taken by pipe F to fill the tank = 4/3 x 12 = 16 minutes
Part of the tank filled by pipe F in one minute = 1/16
Time taken by pipe G to fill the tank = 2/3 x 15 = 10 minutes
Part of the tank filled by pipe G in one minute = 1/10
Part of the tank emptied by pipe Q in one minute = 1/18
Let required time = t minutes
According to the question
4/15 + 4/12 + 2/16 â€“ 2/18 + t/10 = 1
=> t/10 = 1 â€“ 4/15 â€“ 1/3 â€“ 1/8 + 1/9
=> t/10 = (360 â€“ 120 â€“ 90 â€“ 45 + 40)/360
=> t/10 = 139/360
=> t = 139/360 x 10
=> t = 139/36 minutes 
Question 2 of 5
2. Question
Efficiency of pipe K is twice the efficiency of pipe A and efficiency of pipe L is 1.5 times the efficiency of pipe S. Pipe C and pipe K are opened simultaneously for 3 minutes and then closed. Find the time taken by pipe L and pipe R together to empty the filled part of the tank.
Correct
Part of the tank filled by pipe A in one minute = 1/12
Part of the tank filled by pipe K in one minute = 2/12 = 1/6
Part of the tank filled by pipe C in one minute = 1/10
Part of the tank emptied by pipe S in one minute = 1/24
Part of the tank emptied by pipe L in one minute = 1.5/24 = 1/16
Part of the tank emptied by pipe R in one minute = 1/16
Part of the tank filled by pipe C and pipe K in 3 minutes = 3/10 + 3/6
= (9 + 15)/30
= 24/30
Let the required time taken = t minutes
t/16 + t/16 = 24/30
=> 2t/16 = 24/30
=> t = 24/30 x 16/2
=> t = 32/5 minutesIncorrect
Part of the tank filled by pipe A in one minute = 1/12
Part of the tank filled by pipe K in one minute = 2/12 = 1/6
Part of the tank filled by pipe C in one minute = 1/10
Part of the tank emptied by pipe S in one minute = 1/24
Part of the tank emptied by pipe L in one minute = 1.5/24 = 1/16
Part of the tank emptied by pipe R in one minute = 1/16
Part of the tank filled by pipe C and pipe K in 3 minutes = 3/10 + 3/6
= (9 + 15)/30
= 24/30
Let the required time taken = t minutes
t/16 + t/16 = 24/30
=> 2t/16 = 24/30
=> t = 24/30 x 16/2
=> t = 32/5 minutes 
Question 3 of 5
3. Question
Time taken by pipe M to fill the tank is 20% more than the time taken by pipe I to fill the tank and efficiency of pipe N is twice the efficiency of pipe J. Time taken by pipe M and pipe N to fill the tank is what percent of the time taken by pipe D and pipe E together to fill the tank.
Correct
Time taken by pipe I to fill the tank = 5/4 x 8 = 10 minutes
Part of the tank filled by pipe I in one minute = 1/10
Time taken by pipe M to fill the tank = 10 x 120/100 = 12 minutes
Part of the tank filled by pipe M in one minute = 1/12
Time taken by pipe J to fill the tank = 10/9 x 18 = 20 minutes
Part of the tank filled by pipe J in one minute = 1/20
Part of the tank filled by pipe N in one minute = 2/20 = 1/10
Part of the tank filled by pipe D in one minute = 1/8
Part of the tank filled by pipe E in one minute = 1/18
Let the time taken by pipe M and pipe N to fill the tank = t minutes
And the time taken by pipe D and pipe E to fill the tank = k minutes
t/12 + t/10 = 1
=> (5t + 6t)/60 = 1
=> 11t/60 = 1
=> t = 60/11 minutes
And
k/8 + k/18 = 1
(9k + 4k)/72 = 1
=> k = 72/13 minutes
Required percentage = (60/11)/(72/13) x 100
= 60/11 x 13/72 x 100
= 98.48%Incorrect
Time taken by pipe I to fill the tank = 5/4 x 8 = 10 minutes
Part of the tank filled by pipe I in one minute = 1/10
Time taken by pipe M to fill the tank = 10 x 120/100 = 12 minutes
Part of the tank filled by pipe M in one minute = 1/12
Time taken by pipe J to fill the tank = 10/9 x 18 = 20 minutes
Part of the tank filled by pipe J in one minute = 1/20
Part of the tank filled by pipe N in one minute = 2/20 = 1/10
Part of the tank filled by pipe D in one minute = 1/8
Part of the tank filled by pipe E in one minute = 1/18
Let the time taken by pipe M and pipe N to fill the tank = t minutes
And the time taken by pipe D and pipe E to fill the tank = k minutes
t/12 + t/10 = 1
=> (5t + 6t)/60 = 1
=> 11t/60 = 1
=> t = 60/11 minutes
And
k/8 + k/18 = 1
(9k + 4k)/72 = 1
=> k = 72/13 minutes
Required percentage = (60/11)/(72/13) x 100
= 60/11 x 13/72 x 100
= 98.48% 
Question 4 of 5
4. Question
Find the respective ratio of time taken by pipe B, pipe G and pipe P together to fill the tank to that of time taken by pipe E, pipe H and pipe S together to fill the tank.
Correct
Part of the tank filled by pipe B in one minute = 1/15
Time taken by pipe G to fill the tank = 2/3 x 15 = 10 minutes
Part of the tank filled by pipe G in one minute = 1/10
Part of the tank emptied by pipe P in one minute = 1/20
Part of the tank filled by pipe E in one minute = 1/18
Time taken by pipe H to fill the tank = 6/5 x 10 = 12 minutes
Part of the tank filled by pipe H in one minute = 1/12
Part of the tank emptied by pipe S in one minute = 1/24
Let the time taken by pipe B, pipe g and pipe P together to fill the tank = t minutes
And the time taken by pipe E, pipe H and pipe S together to fill the tank = k minutes
t/15 + t/10 â€“ t/20 = 1
=> (4t + 6t â€“ 3t)/60 = 1
=> 7t/60 = 1
=> t = 60/7 minutes
And
k/18 + k/12 â€“ k/24 = 1
=> (4k + 6k â€“ 3k)/72 = 1
=> 7k/72 = 1
=> k = 72/7 minutes
Required ratio = 60/7: 72/7 = 5:6Incorrect
Part of the tank filled by pipe B in one minute = 1/15
Time taken by pipe G to fill the tank = 2/3 x 15 = 10 minutes
Part of the tank filled by pipe G in one minute = 1/10
Part of the tank emptied by pipe P in one minute = 1/20
Part of the tank filled by pipe E in one minute = 1/18
Time taken by pipe H to fill the tank = 6/5 x 10 = 12 minutes
Part of the tank filled by pipe H in one minute = 1/12
Part of the tank emptied by pipe S in one minute = 1/24
Let the time taken by pipe B, pipe g and pipe P together to fill the tank = t minutes
And the time taken by pipe E, pipe H and pipe S together to fill the tank = k minutes
t/15 + t/10 â€“ t/20 = 1
=> (4t + 6t â€“ 3t)/60 = 1
=> 7t/60 = 1
=> t = 60/7 minutes
And
k/18 + k/12 â€“ k/24 = 1
=> (4k + 6k â€“ 3k)/72 = 1
=> 7k/72 = 1
=> k = 72/7 minutes
Required ratio = 60/7: 72/7 = 5:6 
Question 5 of 5
5. Question
Pipe A, pipe C and pipe E are opened simultaneously for 4 minutes then closed and pipe P and pipe S are opened for 2 minutes then closed. Find the time taken by pipe G and pipe J to fill the remaining part of the tank.
Correct
Part of the tank filled by pipe A in one minute = 1/12
Part of the tank filled by pipe C in one minute = 1/10
Part of the tank filled by pipe E in one minute = 1/18
Part of the tank emptied by pipe P in one minute = 1/20
Part of the tank emptied by pipe S in one minute = 1/24
Time taken by pipe G to fill the tank = 2/3 x 15 = 10 minutes
Part of the tank filled by pipe G in one minute = 1/10
Time taken by pipe J to fill the tank = 10/9 x 18 = 20 minutes
Part of the tank filled by pipe J in one minute = 1/20
Let the required time taken = t minutes
4/12 + 4/10 + 4/18 â€“ 2/20 â€“ 2/24 + t/10 + t/20 = 1
=>1/3 + 2/5 + 2/9 â€“ 1/10 â€“ 1/12 + (2t + t)/20 = 1
=> (60 + 72 + 40 â€“ 18 â€“ 15)/180 + 3t/20 = 1
=> 139/180 + 3t/20 = 1
=> 3t/20 = 1 â€“ 139/180
=> 3t/20 = (180 â€“ 139)/180
=> 3t/20 = 41/180
=> t = 41/180 x 20/3
=> t = 41/27 daysIncorrect
Part of the tank filled by pipe A in one minute = 1/12
Part of the tank filled by pipe C in one minute = 1/10
Part of the tank filled by pipe E in one minute = 1/18
Part of the tank emptied by pipe P in one minute = 1/20
Part of the tank emptied by pipe S in one minute = 1/24
Time taken by pipe G to fill the tank = 2/3 x 15 = 10 minutes
Part of the tank filled by pipe G in one minute = 1/10
Time taken by pipe J to fill the tank = 10/9 x 18 = 20 minutes
Part of the tank filled by pipe J in one minute = 1/20
Let the required time taken = t minutes
4/12 + 4/10 + 4/18 â€“ 2/20 â€“ 2/24 + t/10 + t/20 = 1
=>1/3 + 2/5 + 2/9 â€“ 1/10 â€“ 1/12 + (2t + t)/20 = 1
=> (60 + 72 + 40 â€“ 18 â€“ 15)/180 + 3t/20 = 1
=> 139/180 + 3t/20 = 1
=> 3t/20 = 1 â€“ 139/180
=> 3t/20 = (180 â€“ 139)/180
=> 3t/20 = 41/180
=> t = 41/180 x 20/3
=> t = 41/27 days
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