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 – 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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You have reached 0 of 0 points, (0) 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. Part of the tank filled by pipe A in one minute = 1/12 Part of the tank filled by pipe A in one minute = 1/12 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. Part of the tank filled by pipe A in one minute = 1/12 Part of the tank filled by pipe A in one minute = 1/12 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. Time taken by pipe I to fill the tank = 5/4 x 8 = 10 minutes Time taken by pipe I to fill the tank = 5/4 x 8 = 10 minutes 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. Part of the tank filled by pipe B in one minute = 1/15 Part of the tank filled by pipe B in one minute = 1/15 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. Part of the tank filled by pipe A in one minute = 1/12 Part of the tank filled by pipe A in one minute = 1/12Quiz-summary
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1. Question
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 – 2/18 + t/10 = 1
=> t/10 = 1 – 4/15 – 1/3 – 1/8 + 1/9
=> t/10 = (360 – 120 – 90 – 45 + 40)/360
=> t/10 = 139/360
=> t = 139/360 x 10
=> t = 139/36 minutes
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 – 2/18 + t/10 = 1
=> t/10 = 1 – 4/15 – 1/3 – 1/8 + 1/9
=> t/10 = (360 – 120 – 90 – 45 + 40)/360
=> t/10 = 139/360
=> t = 139/360 x 10
=> t = 139/36 minutes
2. Question
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
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
3. Question
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%
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%
4. Question
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 – t/20 = 1
=> (4t + 6t – 3t)/60 = 1
=> 7t/60 = 1
=> t = 60/7 minutes
And
k/18 + k/12 – k/24 = 1
=> (4k + 6k – 3k)/72 = 1
=> 7k/72 = 1
=> k = 72/7 minutes
Required ratio = 60/7: 72/7 = 5:6
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 – t/20 = 1
=> (4t + 6t – 3t)/60 = 1
=> 7t/60 = 1
=> t = 60/7 minutes
And
k/18 + k/12 – k/24 = 1
=> (4k + 6k – 3k)/72 = 1
=> 7k/72 = 1
=> k = 72/7 minutes
Required ratio = 60/7: 72/7 = 5:6
5. Question
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 – 2/20 – 2/24 + t/10 + t/20 = 1
=>1/3 + 2/5 + 2/9 – 1/10 – 1/12 + (2t + t)/20 = 1
=> (60 + 72 + 40 – 18 – 15)/180 + 3t/20 = 1
=> 139/180 + 3t/20 = 1
=> 3t/20 = 1 – 139/180
=> 3t/20 = (180 – 139)/180
=> 3t/20 = 41/180
=> t = 41/180 x 20/3
=> t = 41/27 days
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 – 2/20 – 2/24 + t/10 + t/20 = 1
=>1/3 + 2/5 + 2/9 – 1/10 – 1/12 + (2t + t)/20 = 1
=> (60 + 72 + 40 – 18 – 15)/180 + 3t/20 = 1
=> 139/180 + 3t/20 = 1
=> 3t/20 = 1 – 139/180
=> 3t/20 = (180 – 139)/180
=> 3t/20 = 41/180
=> t = 41/180 x 20/3
=> t = 41/27 days
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