Bar Charts Interview Questions

9 Questions

Bar Charts

📌The bar graph shows the percentage distribution of the total production of a car manufacturing company into six models (P, Q, R, S, T, U) over two years. Total cars produced in 2000 = 3,50,000. Total cars produced in 2001 = 4,40,000.

Percentage of Six Car Models Manufactured Over Two Years

Q1

What was the difference in the number of Q type cars produced in 2000 and that produced in 2001?

Answer: 35,500 Explanation: Q type cars in 2000 = 15% of 3,50,000 = 52,500 Q type cars in 2001 = 20% of 4,40,000 = 88,000 Difference = 88,000 − 52,500 = 35,500

Q2

Total number of cars of models P, Q and T manufactured in 2000 is?

Answer: 2,10,000 Explanation: P (2000) = 30% of 3,50,000 = 1,05,000 Q (2000) = 15% of 3,50,000 = 52,500 T (2000) = 15% of 3,50,000 = 52,500 Total = 1,05,000 + 52,500 + 52,500 = 2,10,000

Q3

If the percentage production of P type cars in 2001 was the same as that in 2000, then the number of P type cars produced in 2001 would have been?

Answer: 1,32,000 Explanation: P's percentage in 2000 = 30% If 2001 production also used 30% of the 2001 total (4,40,000): 30% of 4,40,000 = 1,32,000

Q4

If 85% of the S type cars produced in each year were sold by the company, how many S type cars remain unsold?

Answer: 11,850 Explanation: S type cars in 2000 = 10% of 3,50,000 = 35,000 S type cars in 2001 = 10% of 4,40,000 = 44,000 Unsold percentage = 100% − 85% = 15% Unsold in 2000 = 15% of 35,000 = 5,250 Unsold in 2001 = 15% of 44,000 = 6,600 Total unsold = 5,250 + 6,600 = 11,850

Bar Charts

📌A soft drink company prepares drinks of three different flavours — X, Y and Z. The production of the three flavours over a period of six years (1995–2000) has been expressed in the bar graph below (in lakh bottles).

Production of Three Different Flavours X, Y and Z (in lakh bottles)

Q5

The total production of flavour Z in 1997 and 1998 is what percentage of the total production of flavour X in 1995 and 1996?

Answer: 133.33% Explanation: Z (1997) + Z (1998) = 60 + 60 = 120 lakh bottles X (1995) + X (1996) = 50 + 40 = 90 lakh bottles Percentage = (120 / 90) × 100 = 133.33%

Q6

For which flavour was the average annual production maximum in the given period?

Answer: Y only Explanation: Average for X = (50+40+55+45+60+50) / 6 = 300 / 6 = 50 lakh bottles Average for Y = (55+60+50+55+50+55) / 6 = 325 / 6 ≈ 54.17 lakh bottles Average for Z = (45+50+60+60+45+40) / 6 = 300 / 6 = 50 lakh bottles Y has the highest average production.

Q7

What is the difference between the average production of flavour X in 1995, 1996 and 1997 and the average production of flavour Y in 1998, 1999 and 2000?

Answer: 5,00,000 bottles Explanation: Average X (1995, 1996, 1997) = (50+40+55) / 3 = 145/3 ≈ 48.33 lakh bottles Average Y (1998, 1999, 2000) = (55+50+55) / 3 = 160/3 ≈ 53.33 lakh bottles Difference = 160/3 − 145/3 = 15/3 = 5 lakh bottles = 5,00,000 bottles

Q8

What was the approximate decline in the production of flavour Z in 2000 as compared to the production in 1998?

Answer: 33% Explanation: Z (1998) = 60 lakh bottles, Z (2000) = 40 lakh bottles Decline % = (60 − 40) / 60 × 100 = 33.33% ≈ 33%

Q9

For which of the following years was the percentage rise/fall in production from the previous year the maximum for flavour Y?

Answer: 1997 Explanation: Year-on-year change for Y: 1996: (60−55)/55 × 100 ≈ 9.09% rise 1997: (50−60)/60 × 100 ≈ −16.67% fall 1998: (55−50)/50 × 100 = 10% rise 1999: (50−55)/55 × 100 ≈ −9.09% fall The largest magnitude of change is −16.67% in 1997.