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CAT 2020 Slot 2 DILR · Set 4 of 5Data InterpretationModerate DifficultyQ17–Q20 · 4 MCQ

CAT 2020 Slot 2 DILR Set 4: Tables (4 Questions) with Solutions

The Tables set from the official CAT 2020 Slot 2 DILR paper: the caselet, all 4 questions, the official answer key and a step-by-step solution for each. 100% free, no sign-up.

The Set: Read the Caselet First

CAT 2020 Slot 2 DILR · Questions 17–20
A chain of departmental stores has outlets in Delhi, Mumbai, Bengaluru and Kolkata. The sales are categorized by its three departments - 'Apparel', 'Electronics', and 'HomeDecor'. An Accountant has been asked to prepare a summary of the 2018 and 2019 sales amounts for an internal report. He has collated partial information and prepared the following table.
DelhiMumbaiBengaluruKolkata
Sales Amounts (Crore Rupees)20182019201820192018201920182019
Apparels54
Electronics789882102907080100
Home Decor100728054
The following additional information is known.
1
The sales amounts in the Apparel departments were the same for Delhi and Kolkata in2018.
2
The sales amounts in the Apparel departments were the same for Mumbai and Bengaluru in 2018. This sales amount matched the sales amount in the Apparel department for Delhi in2019.
3
The sales amounts in the Home Decor departments were the same for Mumbai and Kolkata in 2018.
4
The sum of the sales amounts of four Electronics departments increased by the same amount as the sum of the sales amounts of four Apparel departments from 2018 to 2019.
5
The total sales amounts of the four Home Decor departments increased by Rs 70 Crores from 2018 to 2019.
6
The sales amounts in the Home Decor departments of Delhi and Bengaluru each increased by Rs 20 Crores from 2018 to 2019.
7
The sales amounts in the Apparel departments of Delhi and Bengaluru each increased by the same amount in 2019 from 2018. The sales amounts in the Apparel departments of Mumbai and Kolkata also each increased by the same amount in 2019 from 2018.
8
The sales amounts in the Apparel departments of Delhi, Kolkata and Bengaluru in 2019 followed an Arithmetic Progression.

In the exam this set competed with 4 others for 40 minutes. Budget about 8 minutes if you attempt it.

Q17. Tables

MCQ · +3 / −1
In the Home Decor departments, which cities had the highest sales amounts in 2018 and 2019, respectively?
  1. A) Mumbai and Mumbai
  2. B) Delhi and Delhi
  3. C) Bengaluru and Delhi
  4. D) Mumbai and Delhi
Correct Answer
B) Delhi and Delhi
Step-by-step solution
📌 Core Concept
The missing 2018 Home Decor figures follow from the increase data in clues 3, 5 and 6.
🔢 Step-by-Step Solution
1
Clue 6: Delhi and Bengaluru each rose by 20. Delhi 2018 = 100−20=80100-20=80 and Bengaluru 2018 = 80−20=6080-20=60.
2
Clue 3: Mumbai and Kolkata had the same 2018 value mm.
3
Clue 5: the total rise is 70. Delhi and Bengaluru contribute 40, so Mumbai and Kolkata together rose by 30.
4
Mumbai rose by 72−m72-m and Kolkata by 54−m54-m, so 126−2m=30126-2m=30, giving m=48m=48.
5
2018 Home Decor: Delhi 80, Mumbai 48, Bengaluru 60, Kolkata 48. The highest is Delhi.
6
2019 Home Decor: Delhi 100, Mumbai 72, Bengaluru 80, Kolkata 54. The highest is Delhi.
Why Not the Others
A: Mumbai is only 48 in 2018 and 72 in 2019.
C: Bengaluru is 60 in 2018, below Delhi's 80.
D: Mumbai is 48 in 2018, below Delhi's 80.
Correct Answer: B

Q18. Tables

MCQ · +3 / −1
What was the increase in sales amount, in Crore Rupees, in the Apparel department of Mumbai from 2018 to 2019?
  1. A) 10
  2. B) 5
  3. C) 8
  4. D) 12
Correct Answer
D) 12
Step-by-step solution
📌 Core Concept
Set up the 2018 Apparel values as unknowns and use the increase and Arithmetic Progression clues to solve for them.
🔢 Step-by-Step Solution
1
Clue 1: Delhi = Kolkata = aa in 2018. Clue 2: Mumbai = Bengaluru = bb in 2018, and Delhi 2019 = bb.
2
Clue 7: Delhi's rise is b−ab-a, so Bengaluru 2019 = b+(b−a)=2b−ab+(b-a)=2b-a. Kolkata's rise is 54−a54-a, so Mumbai 2019 = b+54−ab+54-a.
3
Clue 8: Delhi, Kolkata and Bengaluru 2019 are bb, 54, 2b−a2b-a in AP, so 108=b+2b−a108=b+2b-a, i.e. 3b−a=1083b-a=108.
4
Clue 4: Electronics rose from 78+82+90+80=33078+82+90+80=330 to 98+102+70+100=37098+102+70+100=370, a rise of 40. The Apparel rise is also 40:
2(b−a)+2(54−a)=40⇒b=2a−342(b-a)+2(54-a)=40 \Rightarrow b=2a-34
5
Substituting: 3(2a−34)−a=1083(2a-34)-a=108, so 5a=2105a=210 and a=42a=42, giving b=50b=50.
6
Mumbai Apparel: 50 in 2018 and 50+54−42=6250+54-42=62 in 2019. The increase is 62−50=1262-50=12.
Quick Check
Delhi, Kolkata and Bengaluru in 2019 are 50, 54, 58, which is an AP. The Apparel rises are 8+12+8+12=408+12+8+12=40, which matches Electronics.
Correct Answer: D

Q19. Tables

MCQ · +3 / −1
Among all the 12 departments (i.e., the 3 departments in each of the 4 cities), what was the maximum percentage increase in sales amount from 2018 to 2019?
  1. A) 75
  2. B) 50
  3. C) 28
  4. D) 25
Correct Answer
B) 50
Step-by-step solution
📌 Core Concept
Use the clues to fill in the missing Apparel and Home Decor figures. Then compare the percentage increase in each of the 12 departments.
🔢 Step-by-Step Solution
1
Electronics rises from 78+82+90+80=33078+82+90+80=330 to 98+102+70+100=37098+102+70+100=370, an increase of 40. Clue 4 says the four Apparel departments also rise by 40 in total.
2
Let Apparel 2018 be xx for Delhi and Kolkata (clue 1) and yy for Mumbai and Bengaluru (clue 2). Delhi 2019 equals yy (clue 2), so Delhi and Bengaluru each rise by y−xy-x (clue 7). Bengaluru 2019 is therefore 2y−x2y-x.
3
Kolkata 2019 is 54, so Mumbai and Kolkata each rise by e=54−xe=54-x (clue 7). The Apparel total rises by 2(y−x)+2(54−x)=402(y-x)+2(54-x)=40, which gives y−2x=−34y-2x=-34.
4
Clue 8 makes Delhi, Kolkata and Bengaluru an AP in 2019: y, 54, 2y−xy,\ 54,\ 2y-x. So y+(2y−x)=108y+(2y-x)=108, i.e. 3y−x=1083y-x=108.
5
Solving steps 3 and 4 gives x=42x=42 and y=50y=50. Apparel is then Delhi 42→5042\to50, Mumbai 50→6250\to62, Bengaluru 50→5850\to58, Kolkata 42→5442\to54. The percentage rises are about 19%, 24%, 16% and 28.6%.
6
Home Decor: clue 6 gives Delhi 80→10080\to100 (25%) and Bengaluru 60→8060\to80 (33.3%). The 2019 total is 100+72+80+54=306100+72+80+54=306, so by clue 5 the 2018 total is 236. Mumbai and Kolkata are equal in 2018 (clue 3), so 2m=236−80−602m=236-80-60 and m=48m=48.
7
Mumbai Home Decor goes 48→7248\to72, a rise of 2448=50%\frac{24}{48}=50\%. Kolkata goes 48→5448\to54, a rise of 12.5%.
8
Electronics: Delhi 2078≈25.6%\frac{20}{78}\approx25.6\%, Mumbai about 24.4%, Kolkata 25%, and Bengaluru falls. None exceeds 50%.
Why Not the Others
75: no department rises by this much.
28: it is below the Mumbai Home Decor rise of 50%.
25: it is also below 50%, and only Delhi Home Decor and Kolkata Electronics are near it.
Quick Check
The next largest rise is Bengaluru Home Decor at 33.3%, so Mumbai Home Decor at 50% is the maximum.
Correct Answer: B

Q20. Tables

MCQ · +3 / −1
What was the total sales amount, in Crore Rupees, in 2019 for the chain of departmental stores?
  1. A) 600
  2. B) 150
  3. C) 750
  4. D) 900
Correct Answer
D) 900
Step-by-step solution
📌 Core Concept
The 2019 total is the sum of the three department totals. Only Electronics is fully given, so the Apparel and Home Decor figures must be derived first.
🔢 Step-by-Step Solution
1
Electronics 2019: 98+102+70+100=37098+102+70+100=370.
2
Home Decor 2019 is given: 100+72+80+54=306100+72+80+54=306.
3
Apparel: Delhi, Kolkata and Bengaluru follow an AP (clue 8), and the Apparel rise equals the Electronics rise of 40 (clue 4). Solving gives 2018 values of 42 for Delhi and Kolkata and 50 for Mumbai and Bengaluru.
4
Apparel 2019: Delhi 50 (equal to the 2018 Mumbai value), Kolkata 54, Bengaluru 58, Mumbai 62. The total is 224.
5
Total 2019 sales: 224+370+306=900224+370+306=900.
Quick Check
2018 total: Apparel 184, Electronics 330, Home Decor 236, sum 750. The rises are 40+40+70=15040+40+70=150, and 750+150=900750+150=900.
Correct Answer: D
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CAT 2020 Slot 2 DILR at a Glance

Sets in this section5
Questions in this section24
Section time40 minutes
Convenor IIMIIM Indore

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