Quantitative Techniques Practice Question Paper on Bar Graphs

Bar Graph Practice Paper

Question 1: Answer the following questions on the basis of information provided.

The stacked bar graph shows power used by different Indian industries represented by A, B, C, D, E, F over the period 1980-2005. The graph gives the percentage consumption of power.

    • In 1990-1995,​​ the​​ power used by Industry B is what percentage of power used by Industry A​​ and E together?

  • 15%(b) 12%​​  (c) 13%​​  (d) 17%

    • If the total power consumed in 1885-1990 is 110000 Million KWh and in 1995-2000 it was ​​ 180000 Million KWh, then how much consumption of power in Industry A increased during this period?

  • 59.7 Billion KWh​​  (b) 55 Billion KWh​​   

(c) 58 Billion KWh  (d) 597 Billion KWh

    • As per the data given in the previous question, how many times is the consumption of Industry C in 1995-2000 to that of Industry E in 1985-1990?

  • 1.57(b) 4.522(c) 2.89(d) Cannot be determined

    • If Hospital and School constitute 45% of Industry B, and they pay Rs. 3/KWh. Then what is the revenue generated from these units in 2000-2005 if total consumption if 200000​​ Million​​ KWh in the year?​​ 

  • 55000 Million(b) 45900 Million(c) 63000 Million(d) None of these

Question 2:​​ Read instructions carefullt and answer the questions based on data given.

Swirl Pvt. Ltd is a travel agency which plans trips for customers. Bar graph 1 shows the number of its customers that went to Delhi from Jan to June while Bar Graph 2 shows the percentage of customers who didn’t go to Delhi from Jan to June.​​ 

Total number of customers of respective months ​​ =Those who went to Delhi+ Those who didn’t go to Delhi

 

Bar Graph 2.​​ 1

Bar Graph 2.​​ 2

2.1 What is the change in the number of customers from January to June?

(a) 1430  (b) 1200  (c) 1250  (d) 1560

2.2 ​​ If the ratio of Male and Female customers in February was 4:3 and 40% of the total male customers went to Delhi that month. Then among the customers who went to Delhi how many of them are Female.

(a)​​ 456 (b) 240 (c) 168​​  (d)Can not be determined.

2.3 ​​ The number of customers who went to Delhi in Feb and May together is how many more/less than the number of customers who didn’t go to Delhi in March & April?

(a) ​​ 316  (b) 420   (c) 565   (d) 1025

2.4 If in the last three months the total number of female customers was 2700 then what was the total number of male customers in these months together?

(a) 2500  (b) 3690  (c) 3050  (d) 3370

Answer and Solutions:

    • Ans: (b) 12%

Solution:​​ Power​​ used by​​ industry B in 1990-1995= 9% ​​ 

Power used by industry A and E together = 67% + 10% = 77%​​ 

  Percentage of power used by B wrt A & E = 9/77​​ 

If we approximation here then we can write the fraction as 10/80 = 1/8 =12.5%

But as the numerator and denominator were increased the actual percentage will be slightly lower than 12.5 hence 12% will be the answer.​​ 

Note:​​ One might get confused​​ between 12 and 13 per cent as the approx. value is there equally close to both of them but then remember the increase in the numerator and denominator for approximation and if you get confused in approximation then I would suggest to simply do the normal calculation as accuracy over time is always the better option.

    • Ans: (a) 59.7 Billion​​ KWh

Solution:​​ In 1985-1990,​​ total consumption was 110000 million units; for Industry A  ​​ ​​ ​​ ​​ ​​​​ the power used will be = 57*110000/100​​ = 62700​​ Million​​ kWh

Similarly, for 1995-2000 = 68*​​ 180000/100 = 122400 Million kWh

Difference between the two-year power consumption by A = 122400–62700 Million kWh​​ 

         = 59700 Million kWh

But when you check the option the answers are given in Billion you will need to convert; ​​ as 1 billion = 1 Million/1000 therefore, 59700Million = 59.7 Billion.

Note:​​ If the answers were all different numbers then there might not have been the need for conversion, you would have directly marked​​ (a)​​ option but because option d was the same number with different decimal place doing conversion and checking is necessary. Keep this in mind and if possible and all the options are different then always mark the answer without wasting time in conversions.

    • Ans: (a) 1.57

Solution:​​ As the question clearly states as per the given data in​​ the​​ previous question, therefore option d can be eliminated and we need to do calculations.

Power used by industry C in 1995-2000 = 180000*​​ 7/100 = 12600​​ Milion kWh

Power used​​ by industry E​​ in 1985-1990​​ =​​ 110000*​​ 18/100 = 19800​​ Milion kWh

We need to find how many times is C consumption to that of E in the years mentioned therefore, the ratio will be 19800/12600 = 1.57

OR using Approximation 200/125 = 8/5 = 1.6​​ 1.57 (as the number was increased in numerator the value will be lower than the actual calculated 1.6 hence 1.57 will be marked as the answer. Also, there are no other values close to 1.6 other than 1.57 as all other options are greater than 2 hence (a) becomes your default answer.​​ 

    • Ans: (b) 45900 Million

Solution:​​ Total power consumed in 2000-2005 = 200000 Mn kWh

  Power consumed by Industry B (17%) = 200000 *17/100​​ 

  Power consumed by Hospital and Schools​​ 

(45% of Industry B) = ​​ 200000*17*45/10000

Per unit price,​​ the schools and Hospitals pay = Rs. 3 / kWh

Total revenue = (200000*17*45/10000)* 3 = 45900

As the units of power were​​ given in Millions hence the answer will also be in millions i.e. option(b)

Observations and Tips for Question 2:

As the question says, one chart shows the number of customers who went to Delhi from Jan to June while the other says what was the percentage of customers who didn’t go to Delhi during that period.

Now read the questions, all of them asks for collaborative answers from both the table hance in this question we cannot do the selective calculation, But calculating the whole table will also be lengthy, So I would suggest make the table as below fill the given information and go forward by filling those parts which are asked in question so that you don’t lose data and everything is clear in front of you.

​​ 

Month

Customers who went to Delhi

%age of those who went to​​ Delhi​​ 

Customers who didn't go to Delhi

%age of those who didn't go to​​ Delhi

Total

Jan​​ 

750

60%

500

40%

1250

Feb​​ 

1176

70%

504

30%

1680

March

1551

55%

1269

45%

2820

April

471

30%

1099

70%

1570

May

1508

65%

812

35%

2320

June

2125

85%

375

15%

2500

Make the columns and Rows; The data written in Red is the information that is taken from Bar charts 2.1 and 2.2.​​ 

As Max percentage can be 100, Hence column 3rd​​ (Blue Shade)​​ will be 100 – respective values of Column 5 i.e., 100- 40 = 60 (in column 3)

Now as we can see 750 is 60% of 1250, Hence in reverse order, if we calculate, then Column 6​​ (Violet shade)​​ can be filled.​​ 

With the total number of customers, we can easily find out Column 4th​​ with​​ the​​ number of customers who didn’t go to Delhi​​ (Green Shade)​​ using either percentage or subtracting​​ the​​ number of customers who went to Delhi from Total.

The above steps will help you in carefully filing the table but again you might not need all the values at once hence start to calculate after reading questions and fill whatever is required.

2.1 Ans:​​ (c) 1250​​ 

Solution:​​ Question​​ demands the change in the number of customers from Jan to June, hence for Jan and June fill the table. The values you get for Jan is 1250 and June is 2500.​​ 

The difference in these value will be 2500 – 1250 = 1250

Hence the Answer will be 1250

 

2.2 Ans:​​ (a) 456​​ 

 ​​ ​​ ​​ ​​​​ Solution:​​ Now fill the details of Feb row.

 ​​ ​​ ​​ ​​​​ The number of customers of Feb is 1680, Ratio of male and female is 4:3, Hence 4/7 male of 1680 =​​ 4*1680/7 = 960

​​ ( we would use male ratio because out of total male customers 40% of male went to Delhi hence this is relevant; female ratio will only waste your time)

40% of​​ the​​ total male customers went to Delhi = 960*0.40 = 720

Female customers who went to Delhi = Total Feb customers who went to​​ Delhi – Male  ​​​​ customers who went to Delhi in Feb​​ 

      = 1176 – 720 =456

2.3 Ans: (a)​​ 316​​ 

 ​​ ​​ ​​ ​​​​ Solution:​​ Here​​ the question demand details for Feb, March, April and May But even if only fill March and April it will be sufficient as numbers for customers who went to Delhi in Feb and may is already given.

Customers who went​​ to Delhi in Feb and May​​ = 1176+1508= 2684

Customers who didn’t go to Delhi in March​​ and April = 1269 + 1099 = 2368

Difference = 2684-2368 = 316​​ 

 

2.4​​ Ans: (b) 3690

 ​​ ​​ ​​ ​​ ​​​​ Solution:​​ As of now your Total number of customers column would have been filled for​​ the​​ last 3 months so for this question we will directly do the calculation.

Total number of customers in the last 3 months = 1570+2320+2500​​ = 6390

Total number of female customers (given for last 3 months) = 2700

Total number of male customers​​ ​​ for​​ the​​ last 3 months​​ = 6390- 2700 = 3690s

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