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6 Fundamental DI Sets Every Beginner Must Solve


DI Set 1 — Table: Category-wise Revenue

The table shows a retailer's revenue (₹ lakh) across five product categories over four years.

Category

2021

2022

2023

2024

Electronics

120

150

180

200

Apparel

90

100

95

110

Grocery

200

220

250

270

Furniture

60

70

65

80

Books

40

45

50

55

 

Q1. What is the total revenue from all categories in 2023?

(A) ₹600 lakh

(B) ₹620 lakh

(C) ₹640 lakh

(D) ₹660 lakh

Q2. What is the approximate percentage increase in Electronics revenue from 2021 to 2024?

(A) 50%

(B) 58%

(C) 67%

(D) 75%

Q3. (TITA) In which year was the total revenue across all five categories the highest?

Q4. What is the ratio of Grocery revenue to Furniture revenue in 2022?

(A) 20:7

(B) 22:7

(C) 11:4

(D) 3:1

Q5. By what approximate percentage did total revenue (all categories) grow from 2022 to 2023?

(A) 6.4%

(B) 7.8%

(C) 9.4%

(D) 11.1%

 

 

DI Set 2 — Percentage-of-Unknown-Base Across Years

A family's Year 1 income was ₹40,000. Income grew by 10% in Year 2 (over Year 1) and by 20% in Year 3 (over Year 2). Expenditure in each category is given only as a percentage of that year's income:

Category

Year 1 (%)

Year 2 (%)

Year 3 (%)

Food

30

28

25

Rent

20

22

25

Transport

15

15

10

Other

35

35

40

 

Q1. What was the family's total income in Year 3?

(A) ₹48,000

(B) ₹50,400

(C) ₹52,800

(D) ₹55,000

Q2. What amount was spent on Food in Year 2?

(A) ₹11,200

(B) ₹12,320

(C) ₹12,600

(D) ₹13,200

Q3. (TITA) By what amount (in ₹) did expenditure on Rent increase from Year 1 to Year 3?

Q4. What is the approximate percentage increase in expenditure on "Other" from Year 1 to Year 3?

(A) 39%

(B) 44%

(C) 51%

(D) 57%

Q5. In which year was the absolute amount spent on Transport the highest?

(A) Year 1

(B) Year 2

(C) Year 3

(D) Same in all three years

 

DI Set 3 — Case-Elimination Distribution

Five employees — A, B, C, D and E — each received a bonus (in ₹'000) from the set {10, 14, 18, 22, 26, 30}. Exactly one value in the set was not given to anyone.

• D received the highest bonus among the five; C received the lowest. • B's bonus exceeds A's bonus by ₹8,000; E's bonus exceeds C's bonus by the same amount, ₹8,000. • The sum of all five bonuses is ₹94,000.

Q1. Which value from the set was not assigned to anyone?

(A) 10

(B) 18

(C) 22

(D) 26

Q2. What is E's bonus?

(A) ₹14,000

(B) ₹18,000

(C) ₹22,000

(D) ₹26,000

Q3. (TITA) What is the positive difference (in ₹'000) between D's and E's bonuses?

Q4. If A's and C's bonuses are interchanged, whose bonus becomes the lowest among the five?

(A) A

(B) B

(C) C

(D) E

Q5. D's bonus is approximately what percentage of the total bonus paid to all five (₹94,000)?

(A) 26%

(B) 29%

(C) 32%

(D) 35%

 

 

DI Set 4 — Algebraic Market-Share Deduction

Six companies — A, B, C, D, E and F — together hold 100% of a market worth ₹500 crore. Only relational and partial information is given:

• E has the highest share, exactly 30%. • D's share is 12%. • A's share exceeds C's share by 4 percentage points, and exceeds F's share by 12 percentage points. • B has the lowest share among all six. • The sum of C's and F's shares equals A's share plus 6 percentage points.

Q1. What is company A's market value (in ₹ crore)?

(A) 90

(B) 100

(C) 110

(D) 120

Q2. Which company has the second-highest market share?

(A) A

(B) C

(C) D

(D) F

Q3. (TITA) What is the combined market share (in %) of companies B and F together?

Q4. What is the ratio of E's market value to B's market value?

(A) 5:2

(B) 15:4

(C) 9:2

(D) 6:1

Q5. (TITA) By how much (in ₹ crore) does E's market value exceed D's market value?

 

DI Set 5 — Cross-Tabulation Reconstruction

Three companies — P, Q and R — each have employees across three departments: Sales, HR and Tech. The following is known:

• Total employees: P = 200, Q = 250, R = 300. • Department totals (across all companies): Sales = 270, HR = 230, Tech = 250. • P's Tech employees = 50. • Q's Tech employees are exactly twice P's Tech employees. • Q's Sales employees exceed its HR employees by 30. • R has an equal number of employees in Sales and HR.

None of the individual company–department values other than P's Tech count are given directly — they must be derived.

Q1. How many employees does company P have in the Sales department?

(A) 70

(B) 75

(C) 80

(D) 85

Q2. (TITA) What is the total number of Sales employees (all three companies combined) as a percentage of the total employees across all companies?

Q3. What is the ratio of HR employees in R to HR employees in P?

(A) 5:4

(B) 7:5

(C) 10:7

(D) 3:2

Q4. (TITA) If 10 employees are transferred from R's Sales department to R's Tech department, what is the new ratio of R's Sales to R's Tech employees?

Q5. By how much does the total number of Tech employees (all companies) exceed the total number of HR employees (all companies)?

(A) 10

(B) 15

(C) 20

(D) 25

 

DI Set 6 — Three-Set Venn with Percentage Layers

300 people were surveyed on their readership of three newspapers — X, Y and Z. No raw counts are given directly; only the following:

• 40% read exactly one newspaper; 20% read exactly two; 10% read all three; the rest read none. • Among those reading exactly one newspaper, the counts for only-X : only-Y : only-Z are in the ratio 8:7:9. • Among those reading exactly two newspapers, the counts for (X&Y only) : (Y&Z only) : (X&Z only) are in the ratio 4:5:3.

Q1. How many people read only one newspaper?

(A) 100

(B) 110

(C) 120

(D) 130

Q2. How many people read only newspaper Z?

(A) 35

(B) 40

(C) 45

(D) 50

Q3. (TITA) How many people read two or more newspapers (i.e., at least two)?

Q4. How many people read Y and Z but not X?

(A) 20

(B) 25

(C) 30

(D) 35

Q5. (TITA) What percentage of those surveyed read none of the three newspapers?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Q. No

Correct Option

Q. No

Correct Option

SET 1

 

SET 4

 

Q1

(C) ₹640 lakh

Q1

(C) 110

Q2

(C) 67%

Q2

(A) A

Q3

2024

Q3

18%

Q4

(B) 22:7

Q4

(B) 15:4

Q5

(C) 9.4%

Q5

90

SET 2

 

SET 5

 

Q1

(C) ₹52,800

Q1

(C) 80

Q2

(B) ₹12,320

Q2

36%

Q3

5200

Q3

(C) 10:7

Q4

(C) 51%

Q4

9:11

Q5

(B) Year 2

Q5

(C) 20

SET 3

 

SET 6

 

Q1

(D) 26

Q1

(C) 120

Q2

(B) ₹18,000

Q2

(C) 45

Q3

12

Q3

90

Q4

(A) A

Q4

(B) 25

Q5

(C) 32%

Q5

30%

 




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