Question 1

How many students failed (i.e., did not pass) in total across School D and School E together?

Accepted Answer

Step 1: Students failed in School D = 1000 − 750 = 250. Step 2: Students failed in School E = 1800 − 1260 = 540. Step 3: Total failed = 250 + 540 = 790. Answer: 790

Question 2

What is the average number of students who appeared across all five schools?

Accepted Answer

Step 1: Total students appeared = 200 + 250 + 300 + 180 + 400 = 1330. Step 2: Average = 1330 / 5 = 266. Answer: 266

Question 3

What is the ratio of total students passed in School A to the total students passed in School C?

Accepted Answer

Step 1: Students passed in School A = 960. Step 2: Students passed in School C = 640. Step 3: Ratio = 960 : 640 = 3 : 2. Answer: 3 : 2

Question 4

In School B, what percentage of the students who passed were Girls?

Accepted Answer

Step 1: Girls passed in School B = 420. Step 2: Total passed in School B = 1050. Step 3: Percentage = (420 ÷ 1050) × 100 = 40%. Answer: 40%

Question 5

The number of Boys passed in School E is what percent more than the number of Boys passed in School C?

Accepted Answer

Step 1: Boys passed in School E = 700. Step 2: Boys passed in School C = 320. Step 3: Difference = 700 − 320 = 380. Step 4: Percentage more = (380 ÷ 320) × 100 = 118.75%. Answer: 118.75%

Question 6

The topper of which school scored the highest percentage of marks?

Accepted Answer

Step 1: Calculate topper percentage for each school. School A: (360/450)×100 = 80%. School B: (400/500)×100 = 80%. School C: (420/600)×100 = 70%. School D: (330/400)×100 = 82.5%. School E: (480/600)×100 = 80%. Step 2: School D has the highest topper percentage at 82.5%. Answer: School D

Question 7

Which factory maintained constant production throughout all four quarters?

Accepted Answer

Step 1: Check each factory's quarterly production.
Step 2: Factory A increased (120→180), Factory B increased (100→130), Factory C remained 150 in all quarters, Factory D increased (80→140), Factory E decreased (200→140).
Answer: Factory C

Question 8

What is the average production of Factory B across all four quarters?

Accepted Answer

Step 1: Add all quarterly production of Factory B: 100 + 110 + 120 + 130 = 460 tonnes.
Step 2: Divide by 4 quarters: 460 ÷ 4 = 115 tonnes.
Answer: 115 tonnes

Question 9

By what percentage did Factory D's production increase from Q1 to Q4?

Accepted Answer

Step 1: Q1 production of Factory D = 80 tonnes, Q4 production = 140 tonnes.
Step 2: Increase = 140 - 80 = 60 tonnes.
Step 3: Percentage increase = (60 ÷ 80) × 100 = 75%.
Answer: 75%

Question 10

What is the difference between the total production of Factory E and Factory C across all four quarters?

Accepted Answer

Step 1: Total production of Factory E = 200 + 180 + 160 + 140 = 680 tonnes.
Step 2: Total production of Factory C = 150 + 150 + 150 + 150 = 600 tonnes.
Step 3: Difference = 680 - 600 = 80 tonnes.
Answer: 80 tonnes

Question 11

What is the total production of Factory A across all four quarters?

Accepted Answer

Step 1: Add all quarterly production figures for Factory A.
Step 2: 120 + 140 + 160 + 180 = 600 tonnes.
Answer: 600 tonnes

Question 12

Which factory maintained constant production throughout all four quarters?

Accepted Answer

Step 1: Check each factory's quarterly production.
Step 2: Factory C shows 150, 150, 150, 150 — all quarters are equal.
Answer: Factory C

Question 13

What is the average production of Factory B across all four quarters?

Accepted Answer

Step 1: Sum all quarterly production of Factory B: 100 + 110 + 120 + 130 = 460 tonnes.
Step 2: Divide by number of quarters: 460 ÷ 4 = 115 tonnes.
Answer: 115 tonnes

Question 14

By what percentage did Factory D's production increase from Q1 to Q4?

Accepted Answer

Step 1: Q1 production = 80 tonnes, Q4 production = 140 tonnes.
Step 2: Increase = 140 - 80 = 60 tonnes.
Step 3: Percentage increase = (60 ÷ 80) × 100 = 75%.
Answer: 75%

Question 15

What is the ratio of Factory E's Q1 production to Factory D's Q1 production?

Accepted Answer

Step 1: Factory E's Q1 production = 110 tonnes.
Step 2: Factory D's Q1 production = 80 tonnes.
Step 3: Ratio = 110 : 80 = 11 : 8 (dividing both by 10).
Answer: 11:8

Question 16

What is the total production of Factory A across all four quarters?

Accepted Answer

Step 1: Add production of Factory A across Q1, Q2, Q3, Q4.
Step 2: 120 + 140 + 160 + 180 = 600 tonnes.
Answer: 600 tonnes

Question 17

Which appliance had the highest total sales across all four quarters?

Accepted Answer

Step 1: Calculate total sales for each appliance across Q1-Q4.
Microwave: 4500 + 5200 + 5800 + 6200 = 21,700
Refrigerator: 2800 + 3100 + 3400 + 3600 = 12,900
Washing Machine: 3600 + 4200 + 4800 + 5300 = 17,900
Air Conditioner: 1800 + 2000 + 2300 + 2500 = 8,600
Dishwasher: 1200 + 1500 + 1900 + 2100 = 6,700
Step 2: Microwave has the highest total sales of 21,700 units.

Question 18

What is the total production of Product B across all four quarters?

Accepted Answer

Step 1: Add Q1, Q2, Q3, Q4 production for Product B.
Step 2: 400 + 450 + 500 + 550 = 1900 units.

Question 19

By what percentage did the production of Product A increase from Q1 to Q4?

Accepted Answer

Step 1: Q1 production of A = 500 units, Q4 production of A = 800 units.
Step 2: Increase = 800 - 500 = 300 units.
Step 3: Percentage increase = (300 / 500) × 100 = 60%.

Question 20

In which quarter was the unsold inventory (Production - Sales) for Product C the highest?

Accepted Answer

Step 1: Calculate unsold inventory for Product C in each quarter.
Q1: 300 - 270 = 30 units
Q2: 350 - 315 = 35 units
Q3: 400 - 360 = 40 units
Q4: 450 - 405 = 45 units
Step 2: Q4 has the highest unsold inventory of 45 units.

Question 21

In Q3, what is the average sales percentage (sales as % of production) across all three products?

Accepted Answer

Step 1: Calculate sales % for each product in Q3.
Product A: (630/700) × 100 = 90%
Product B: (450/500) × 100 = 90%
Product C: (360/400) × 100 = 90%
Step 2: Average = (90 + 90 + 90) / 3 = 90%.

Question 22

What is the ratio of total Q1 sales to total Q4 sales across all products?

Accepted Answer

Step 1: Calculate total Q1 sales = 450 + 360 + 270 = 1080 units.
Step 2: Calculate total Q4 sales = 760 + 495 + 405 = 1660 units.
Step 3: Ratio = 1080 : 1660 = 27 : 41.5. Simplifying: 54 : 83 or approximately 1 : 1.54.
Alternatively, 1080/1660 = 0.65 (approximately 2:3 when rounded).

Question 23

What is the total production of Washing Machines across all four quarters?

Accepted Answer

Step 1: Add Q1, Q2, Q3, and Q4 production for Washing Machine.
Step 2: 4000 + 4500 + 5000 + 5500 = 19,000 units.

Question 24

In Q3, what is the percentage of Microwave sales relative to Microwave production (rounded to nearest whole number)?

Accepted Answer

Step 1: Q3 Microwave Sales = 5800, Q3 Microwave Production = 6000.
Step 2: Percentage = (5800 / 6000) × 100 = 96.67%.
Step 3: Rounded to nearest whole number = 97%.

Question 25

What is the average production of Refrigerators per quarter?

Accepted Answer

Step 1: Total Refrigerator production = 3000 + 3200 + 3500 + 3800 = 13,500 units.
Step 2: Average per quarter = 13,500 ÷ 4 = 3,375 units.

Question 26

In Q2, what is the difference between total production and total sales across all appliances?

Accepted Answer

Step 1: Calculate total Q2 production: 5500 + 3200 + 4500 + 2200 + 1800 = 17,200 units.
Step 2: Calculate total Q2 sales: 5200 + 3100 + 4200 + 2000 + 1500 = 16,000 units.
Step 3: Difference = 17,200 - 16,000 = 1,200 units.

RRB Group D Caselets (paragraph DI)

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