Download High Level Bar Chart DI Quizzes for IBPS PO 2021, SBI Mains 2021 and RBI Grade B 2021

Directions : Study the following bar chart carefully and answer the questions given below.

Among four persons – Ram, Shyam, Mohan, and Sohan – each does four different tasks A, B, C, and D. The individual efficiency (in units/hr) of each person to complete the tasks (A, B, C or D) is given in the chart below:

1
Ram and Shyam work for two hours each on a given day. They have to do each of the four work such that they do equal units of each work, i.e. if Ram (or Shyam) does 100 units of work then it has to be 25 units each of A, B, C, and D. What is the ratio of the maximum units of work that Ram and Shyam can do respectively in the given time?
» Explain it
B
Ram and Shyam work for 2 hours.

Let Ram do 4y units of work then according to the question he will do y units of each work

then

y  +  y  +  y  +  y  = 2
75 50 125 100

y  ×  ( 1  +  1  +  1  +  1 )  = 2
25 3 2 5 4

y  ×  77  = 2
25 60

y =  2 × 25 × 60  =  3000
77 77

Similarly, we find for Shyam =  50 × 15 × 17
296

Ratio =  3000  :  50 × 15 × 17  = 1184 : 1309
77 296

Hence, option B is correct.
2
If 1500 units each of A, B, C, and D are required to be done then who among the following while working alone will take the least time to complete the work ?
» Explain it
C
Calculating time for Ram

1500  +  1500  +  1500  +  1500  = 72 hours
75 50 125 150

In this way we calculate for each and find for Mohan to be 59 hours which is least.

Hence, option C is correct.
3
If the respective ratio of the total number of units of work of B and C is 3 : 2 and the average of the total number of units of work B and C is 1250 units. Find the difference between the total time taken by Ram and Shyam to finish the tasks B and C individually and the time taken by Mohan and Sohan together to complete the same tasks individually? (approximately)
» Explain it
A
Let there be 3n and 2n units of work of B and C respectively, then

3n + 2n = 1250 × 2

n = 500

B = 1500 units and C = 1000 units

Time taken by Ram and Shyam individually:

1500  +  1500  +  1000  +  1000  = 71.33 hours
50 75 125 75

Time taken by Mohan and Sohan individually:

1500  +  1500  +  1000  +  1000  = 70 hours
125 50 125 50

Difference = 1.33 hours

Hence, option A is correct.
4
If Ram, Shayam, Mohan and, Sohan all work alone for 1 hours and spend equal amount of time on each work then what is the absolute difference between the average of total number of units done by Ram and Shayam together and the average of total number of units of work done by Mohan and Sohan together?
» Explain it
C
If they spend equal amount of time on each work then they will spend

60  = 15 minutes on each work.
4

Ram work for 15 minutes i.e. 1/4 hour on each work then total number of units of work are done by him

75  +  50  +  125  +  150  =  400  = 100 units
4 4 4 4 4

Similarly, calculating for rest of the three, we get

Shyam = 90 units

Ram and Shyam average =  100 + 90  = 95 units
2

Mohan = 106.25 units

Sohan = 112.5 units

Mohan and Sohan average

106.25 + 112.5  = 109.375 units
2

Difference = 109.375 – 95 = 14.375 units

Hence, option C is correct.
5
A work of 300 units which is similar to A is such that it has to be finished within 3 hours. The work is sensitive that if it is done more than 2 units each minute then it gets destroyed. Find who among the four can do such work on within time without destroying it.
» Explain it
C
The 300 unit work has to be finished in 3hours, means
 
100 unit in 1 hour.
 
If we look at the chart, we see except Ram, everyone can finish this work within time.
 
But,
 
Each hour, the work cannot be done more than 2 × 60 = 120 units.
 
If we look at the chart, Shyam and Sohan do more than 120 units each hour, which will destroy the work.
 
So, only Mohan can finish the work within time without destroying it.
 
Hence, option C is correct.