IIM B UG (B.Sc-Hons.)- Sample Paper 2026 · Quant & DI · Set 2: Bar graph — units produced and sold by five factories (Q14–Q17)

The full set and all 4 questions (Q15–Q18) from IIM B UG (B.Sc-Hons.)- Sample Paper 2026, with answers and solutions.

Directions: Study the following graph carefully and answer the questions that follow.

Unsold units = units produced − units sold.

Question 15 · Bar Graph

Which factory has the greatest number of unsold units?
  1. A
    C
  2. B
    A
  3. C
    E
  4. D
    B
Pick an option, then check.
Answer & solution

Answer: Option A

Unsold units = produced − sold, factory by factory.

A: 800 − 600 = 200.

B: 1000 − 850 = 150.

C: 1200 − 900 = 300.

D: 900 − 720 = 180.

E: 1100 − 880 = 220.

The largest figure is 300, for factory C.

Question 16 · Bar Graph

What percentage of the total units produced by all five factories was sold?
  1. A
    81%
  2. B
    83%
  3. C
    79%
  4. D
    77%
Pick an option, then check.
Answer & solution

Answer: Option C

Total produced = 800 + 1000 + 1200 + 900 + 1100 = 5000.

Total sold = 600 + 850 + 900 + 720 + 880 = 3950.

Percentage sold = (3950 ÷ 5000) × 100 = 79%.

Question 17 · Bar Graph

What is the ratio of the combined unsold units of factories B and D to the combined unsold units of factories A and E?
  1. A
    3 : 4
  2. B
    11 : 14
  3. C
    14 : 11
  4. D
    5 : 7
Pick an option, then check.
Answer & solution

Answer: Option B

Unsold for B = 1000 − 850 = 150 and for D = 900 − 720 = 180, a total of 330.

Unsold for A = 800 − 600 = 200 and for E = 1100 − 880 = 220, a total of 420.

Ratio = 330 : 420.

Dividing both by 30 gives 11 : 14.

Question 18 · Bar Graph

In the next month, factory D increases production by 20% and sells 90% of its new production. By what percentage will its sales increase when compared with the month shown?
  1. A
    35%
  2. B
    25%
  3. C
    20%
  4. D
    30%
Pick an option, then check.
Answer & solution

Answer: Option A

Factory D produced 900 units and sold 720 in the month shown.

New production = 900 × 1.20 = 1080 units.

New sales = 90% of 1080 = 972 units.

Increase in sales = 972 − 720 = 252 units.

Percentage increase = (252 ÷ 720) × 100 = 35%.

Take this paper as a timed test
Real exam timing, instant score, rank and topic-wise analysis.

Practice timed →