Line Charts DI – Hard Level

Hard Level Line Chart DI questions test your ability to handle 3-step logic, tricky percentage/ratio work, and close options. These sets train you to read the graph carefully and calculate confidently under time pressure. Practice daily one DI set per day for 10–15 minutes. Medium level is usually enough to score well, but if you have extra time, hard level practice makes you fully exam-ready.

DI Set 1: Graph DI (Line Graph: Monthly Revenue of Two Courses)

Data:

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xychart-beta
  title "Line Graph: Monthly Revenue of Two Courses"
  x-axis ["Jan","Feb","Mar","Apr","May","Jun"]
  y-axis "Revenue (₹ lakhs)" 20 --> 70
  line [40,44,50,48,56,64]
  line [28,30,34,37,38,40]

Questions (MCQ):
Q1: What is the overall percentage increase in combined revenue (A + B) from January to June?
A) 51.9%;
B) 52.9%;
C) 53.9%;
D) 54.9%;

Q2: If Course A revenue falls by 10% in May and June (Course B unchanged), what is the new total combined revenue of May + June together?
A) 184.0 ₹ lakhs;
B) 185.0 ₹ lakhs;
C) 186.0 ₹ lakhs;
D) 187.0 ₹ lakhs;

Q3: What is the ratio of total Course A revenue to total Course B revenue from Jan to Jun (in simplest form)?
A) 302:207;
B) 302:205;
C) 300:207;
D) 151:105;

Q4: What is the difference between (average of top 3 monthly combined revenues) and (average of bottom 3 monthly combined revenues)?
A) 18 ₹ lakhs;
B) 19 ₹ lakhs;
C) 20 ₹ lakhs;
D) 21 ₹ lakhs;

Q5: If the target is at least 90 ₹ lakhs combined revenue every month, what is the total shortfall across all months that miss the target?
A) 47 ₹ lakhs;
B) 48 ₹ lakhs;
C) 49 ₹ lakhs;
D) 50 ₹ lakhs;

Answers and Explanations:
Answer (Q1): B) 52.9%
Explanation: Jan total = 40 + 28 = 68, Jun total = 64 + 40 = 104.
Increase = 104 − 68 = 36.
% Increase = (36 ÷ 68) × 100 = 52.94% ≈ 52.9%.

Answer (Q2): C) 186.0 ₹ lakhs
Explanation: May A after 10% drop = 56 × 0.9 = 50.4, so May new total = 50.4 + 38 = 88.4.
Jun A after 10% drop = 64 × 0.9 = 57.6, so Jun new total = 57.6 + 40 = 97.6.
May + Jun new total = 88.4 + 97.6 = 186.0.

Answer (Q3): A) 302:207
Explanation: Total A = 40 + 44 + 50 + 48 + 56 + 64 = 302.
Total B = 28 + 30 + 34 + 37 + 38 + 40 = 207.
Ratio = 302:207 (already simplest).

Answer (Q4): B) 19 ₹ lakhs
Explanation: Monthly combined totals = 68, 74, 84, 85, 94, 104.
Top 3 avg = (104 + 94 + 85) ÷ 3 = 94.33; Bottom 3 avg = (68 + 74 + 84) ÷ 3 = 75.33.
Difference = 94.33 − 75.33 = 19.

Answer (Q5): C) 49 ₹ lakhs
Explanation: Target = 90. Shortfalls: Jan 22, Feb 16, Mar 6, Apr 5 (May and Jun meet).
Total shortfall = 22 + 16 + 6 + 5 = 49.

DI Set 2: Graph DI (Line Graph: Monthly Website Sessions from Organic and Paid)

Data:

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xychart-beta
  title "Line Graph: Monthly Website Sessions from Organic and Paid"
  x-axis ["Jan","Feb","Mar","Apr","May","Jun"]
  y-axis "Sessions (thousand)" 30 --> 220
  line [110,120,130,125,135,145]
  line [40,45,50,55,60,65]

Questions (MCQ):
Q1: What is the overall percentage increase in combined sessions (Organic + Paid) from January to June?
A) 38%;
B) 40%;
C) 42%;
D) 44%;

Q2: If Paid sessions drop by 10% in April and May (Organic unchanged), what is the new combined total of April + May together?
A) 362.5 thousand;
B) 363.5 thousand;
C) 364.5 thousand;
D) 365.5 thousand;

Q3: What is the ratio of total Organic sessions to total Paid sessions from Jan to Jun (simplest form)?
A) 17:7;
B) 7:17;
C) 51:21;
D) 34:14;

Q4: What is the difference between the average combined sessions of the last 3 months and the first 3 months?
A) 28 thousand;
B) 30 thousand;
C) 32 thousand;
D) 34 thousand;

Q5: In March, how many extra Paid sessions (in thousand) are needed so that Paid becomes exactly 30% of the total sessions of March?
A) 5.4 thousand;
B) 5.7 thousand;
C) 6.0 thousand;
D) 6.3 thousand;

Answers and Explanations:
Answer (Q1): B) 40%
Explanation: Jan total = 110 + 40 = 150, Jun total = 145 + 65 = 210.
Increase = 210 − 150 = 60.
% Increase = (60 ÷ 150) × 100 = 40%.

Answer (Q2): B) 363.5 thousand
Explanation: Apr new Paid = 55 × 0.9 = 49.5, so Apr new total = 125 + 49.5 = 174.5.
May new Paid = 60 × 0.9 = 54, so May new total = 135 + 54 = 189.
Apr + May new combined = 174.5 + 189 = 363.5.

Answer (Q3): A) 17:7
Explanation: Total Organic = 110 + 120 + 130 + 125 + 135 + 145 = 765.
Total Paid = 40 + 45 + 50 + 55 + 60 + 65 = 315.
Ratio = 765:315 = 17:7.

Answer (Q4): B) 30 thousand
Explanation: Combined totals: Jan 150, Feb 165, Mar 180 ⇒ avg = (150+165+180) ÷ 3 = 165.
Apr 180, May 195, Jun 210 ⇒ avg = (180+195+210) ÷ 3 = 195.
Difference = 195 − 165 = 30.

Answer (Q5): B) 5.7 thousand
Explanation: March Organic = 130, Paid = P, and we want P to be 30% of (130 + P).
So, P = 0.30(130 + P) ⇒ 0.70P = 39 ⇒ P = 55.714.
Extra needed = 55.714 − 50 = 5.714 ≈ 5.7 thousand.

DI Set 3: Graph DI (Line Graph: Quarterly Profit of Two Branches)

Data:

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xychart-beta
  title "Line Graph: Quarterly Profit of Two Branches"
  x-axis ["Q1","Q2","Q3","Q4","Q5","Q6"]
  y-axis "Profit (₹ crores)" 10 --> 30
  line [18,20,22,21,24,26]
  line [12,13,15,16,17,18]

Questions (MCQ):
Q1: What is the overall percentage increase in combined profit (East + West) from Q1 to Q6?
A) 45.7%;
B) 46.7%;
C) 47.7%;
D) 48.7%;

Q2: In which quarter is Branch East’s share of combined profit the highest, and what is that share (approx)?
A) Q1 and 60.0%;
B) Q2 and 60.6%;
C) Q3 and 59.5%;
D) Q6 and 59.1%;

Q3: If Branch West gets a 5% bonus added to its profit in Q4 to Q6 (East unchanged), what is the new total combined profit of Q4 + Q5 + Q6 together?
A) 123.55 ₹ crores;
B) 124.55 ₹ crores;
C) 125.55 ₹ crores;
D) 126.55 ₹ crores;

Q4: What is the ratio of (East total profit in Q1–Q3) to (West total profit in Q4–Q6) in simplest form?
A) 20:17;
B) 17:20;
C) 60:48;
D) 12:10;

Q5: How much should Branch East increase in Q4 so that combined profit in Q4 becomes equal to the average combined profit of Q5 and Q6?
A) 5.0 ₹ crores;
B) 5.5 ₹ crores;
C) 6.0 ₹ crores;
D) 6.5 ₹ crores;

Answers and Explanations:
Answer (Q1): B) 46.7%
Explanation: Q1 combined = 18 + 12 = 30, Q6 combined = 26 + 18 = 44.
Increase = 44 − 30 = 14.
% Increase = (14 ÷ 30) × 100 = 46.67% ≈ 46.7%.

Answer (Q2): B) Q2 and 60.6%
Explanation: East share = East ÷ (East + West) × 100.
Q2 share = 20 ÷ 33 × 100 = 60.61% ≈ 60.6% (highest among all quarters).

Answer (Q3): B) 124.55 ₹ crores
Explanation: West bonus: Q4 = 16×1.05=16.8, Q5=17×1.05=17.85, Q6=18×1.05=18.9.
New combined: Q4=21+16.8=37.8, Q5=24+17.85=41.85, Q6=26+18.9=44.9.
Total = 37.8 + 41.85 + 44.9 = 124.55.

Answer (Q4): A) 20:17
Explanation: East (Q1–Q3) = 18 + 20 + 22 = 60.
West (Q4–Q6) = 16 + 17 + 18 = 51.
Ratio = 60:51 = 20:17.

Answer (Q5): B) 5.5 ₹ crores
Explanation: Combined Q5 = 24 + 17 = 41, combined Q6 = 26 + 18 = 44.
Average of Q5 and Q6 = (41 + 44) ÷ 2 = 42.5.
Q4 combined is 21 + 16 = 37, so required increase in East = 42.5 − 37 = 5.5.

DI Set 4: Graph DI (Line Graph: Year-wise Appeared vs Qualified Students)

Data:

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xychart-beta
  title "Line Graph: Year-wise Appeared vs Qualified Students"
  x-axis ["2019","2020","2021","2022","2023","2024"]
  y-axis "Students" 700 --> 6000
  line [5000,5200,5400,5100,5600,5900]
  line [800,850,900,880,960,1020]

Questions (MCQ):
Q1: What is the percentage increase in the qualification rate from 2019 to 2024? (Qualification rate = Qualified ÷ Appeared × 100)
A) 7.5%;
B) 8.1%;
C) 8.7%;
D) 9.3%;

Q2: For 2020 to 2022 together, what is the total qualified, and what is the weighted qualification rate for these three years combined?
A) 2630 and 16.8%;
B) 2630 and 17.8%;
C) 2580 and 16.8%;
D) 2580 and 17.8%;

Q3: In 2024, how many more students qualified compared to the expected number if the 2019 qualification rate applied to 2024 appeared students?
A) 72;
B) 76;
C) 80;
D) 84;

Q4: From 2019 to 2024, what are the overall percentage increases in (Appeared) and (Qualified) respectively?
A) 16% and 25.5%;
B) 18% and 27.5%;
C) 20% and 27.5%;
D) 18% and 29.5%;

Q5: If the target qualification rate is 18% each year, how many additional qualifiers are needed in total across 2023 and 2024 to meet the target?
A) 84;
B) 88;
C) 90;
D) 92;

Answers and Explanations:
Answer (Q1): B) 8.1%
Explanation: 2019 rate = 800 ÷ 5000 × 100 = 16.00%.
2024 rate = 1020 ÷ 5900 × 100 = 17.288%.
% Increase in rate = (17.288 − 16.00) ÷ 16.00 × 100 ≈ 8.05% ≈ 8.1%.

Answer (Q2): A) 2630 and 16.8%
Explanation: Total qualified (2020–2022) = 850 + 900 + 880 = 2630.
Total appeared (2020–2022) = 5200 + 5400 + 5100 = 15700.
Weighted rate = 2630 ÷ 15700 × 100 = 16.75% ≈ 16.8%.

Answer (Q3): B) 76
Explanation: 2019 rate = 16%, so expected in 2024 = 16% of 5900 = 0.16 × 5900 = 944.
Actual qualified in 2024 = 1020.
Extra = 1020 − 944 = 76.

Answer (Q4): B) 18% and 27.5%
Explanation: Appeared increase = (5900 − 5000) ÷ 5000 × 100 = 18%.
Qualified increase = (1020 − 800) ÷ 800 × 100 = 27.5%.
So the pair is 18% and 27.5%.

Answer (Q5): C) 90
Explanation: Target qualified = 18% of appeared.
2023 target = 0.18×5600=1008, short = 1008 − 960 = 48; 2024 target = 0.18×5900=1062, short = 1062 − 1020 = 42.
Total additional = 48 + 42 = 90.

DI Set 5: Graph DI (Line Graph: Monthly Electricity Use of Hostel and Lab)

Data:

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xychart-beta
  title "Line Graph: Monthly Electricity Use of Hostel and Lab"
  x-axis ["Apr","May","Jun","Jul","Aug","Sep"]
  y-axis "Electricity (units)" 380 --> 700
  line [520,560,600,580,620,650]
  line [410,430,450,470,480,500]

Questions (MCQ):
Q1: What is the overall percentage increase in combined electricity use (Hostel + Lab) from April to September?
A) 22.7%;
B) 23.7%;
C) 24.7%;
D) 25.7%;

Q2: From April to September, Hostel usage increases by what percent, Lab usage increases by what percent, and what is the difference between these two percentage increases (approx)?
A) Difference ≈ 2.6 percentage points;
B) Difference ≈ 3.0 percentage points;
C) Difference ≈ 3.4 percentage points;
D) Difference ≈ 3.8 percentage points;

Q3: In July, the tariff is ₹6 per unit for Hostel and ₹5 per unit for Lab. If an 8% surcharge applies when the total bill exceeds ₹5000, what is the final July bill?
A) ₹6276.4;
B) ₹6296.4;
C) ₹6316.4;
D) ₹6336.4;

Q4: In which month is Hostel’s share of combined usage closest to 57%, and what is that share (approx)?
A) May and 56.6%;
B) June and 57.1%;
C) September and 56.5%;
D) April and 55.9%;

Q5: If September’s combined usage must be reduced to equal the average combined usage of April and May, and only Hostel usage can be reduced, how many units must Hostel reduce in September?
A) 180 units;
B) 190 units;
C) 200 units;
D) 210 units;

Answers and Explanations:
Answer (Q1): B) 23.7%
Explanation: Apr combined = 520 + 410 = 930, Sep combined = 650 + 500 = 1150.
Increase = 1150 − 930 = 220.
% Increase = (220 ÷ 930) × 100 = 23.66% ≈ 23.7%.

Answer (Q2): B) Difference ≈ 3.0 percentage points
Explanation: Hostel % increase = (650 − 520) ÷ 520 × 100 = 25.00%.
Lab % increase = (500 − 410) ÷ 410 × 100 = 21.95% ≈ 22.0%.
Difference ≈ 25.0 − 22.0 = 3.0 percentage points.

Answer (Q3): B) ₹6296.4
Explanation: July bill before surcharge = (580×6) + (470×5) = 3480 + 2350 = ₹5830.
Surcharge applies, so final = 5830 × 1.08 = ₹6296.4.
So the final July bill is ₹6296.4.

Answer (Q4): B) June and 57.1%
Explanation: Hostel share = Hostel ÷ (Hostel + Lab) × 100.
June share = 600 ÷ 1050 × 100 = 57.14% ≈ 57.1%.
This is the closest to 57% among all months.

Answer (Q5): B) 190 units
Explanation: Avg combined of Apr and May = (930 + 990) ÷ 2 = 960.
Sep combined = 1150, reduction needed = 1150 − 960 = 190.
Only Hostel reduces, so Hostel must reduce by 190 units.

DI Set 6: Graph DI (Line Graph: Monthly Sales of Two Test Series Packs)

Data:

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xychart-beta
  title "Line Graph: Monthly Electricity Use of Hostel and Lab"
  x-axis ["Apr","May","Jun","Jul","Aug","Sep"]
  y-axis "Electricity (units)" 380 --> 700
  line [520,560,600,580,620,650]
  line [410,430,450,470,480,500]

Questions (MCQ):
Q1: What is the overall percentage increase in combined sales (A + B) from January to June?
A) 41.3%;
B) 42.3%;
C) 43.3%;
D) 44.3%;

Q2: If Pack A sales drop by 10% in Apr–Jun (Pack B unchanged), what is the new combined total sales of Apr + May + Jun together?
A) 287.1 thousand;
B) 288.1 thousand;
C) 289.1 thousand;
D) 290.1 thousand;

Q3: What is the ratio of total Pack A sales to total Pack B sales from Jan to Jun (simplest form)?
A) 110:77;
B) 77:110;
C) 330:231;
D) 55:39;

Q4: What is the difference between (average of top 3 monthly combined sales) and (average of bottom 3 monthly combined sales)?
A) 16 thousand;
B) 17 thousand;
C) 18 thousand;
D) 19 thousand;

Q5: If the target combined sales is 95 thousand every month, what is the total shortfall across all months that miss the target?
A) 30 thousand;
B) 31 thousand;
C) 32 thousand;
D) 33 thousand;

Answers and Explanations:
Answer (Q1): B) 42.3%
Explanation: Jan combined = 46 + 32 = 78, Jun combined = 66 + 45 = 111.
% Increase = (111 − 78) ÷ 78 × 100 = 42.31% ≈ 42.3%.

Answer (Q2): B) 288.1 thousand
Explanation: New A (Apr–Jun) = 53×0.9 + 60×0.9 + 66×0.9 = 47.7 + 54 + 59.4.
Add B (Apr–Jun) = 40 + 42 + 45.
New total = (47.7+40) + (54+42) + (59.4+45) = 288.1.

Answer (Q3): A) 110:77
Explanation: Total A = 46+50+55+53+60+66 = 330.
Total B = 32+35+37+40+42+45 = 231.
Ratio = 330:231 = 110:77.

Answer (Q4): B) 17 thousand
Explanation: Combined totals = 78, 85, 92, 93, 102, 111.
Top 3 avg = (111+102+93) ÷ 3 = 102; Bottom 3 avg = (78+85+92) ÷ 3 = 85.
Difference = 102 − 85 = 17.

Answer (Q5): C) 32 thousand
Explanation: Shortfalls vs 95: Jan 17, Feb 10, Mar 3, Apr 2 (May, Jun meet).
Total shortfall = 17 + 10 + 3 + 2 = 32.

DI Set 2: Graph DI (Line Graph: Daily Orders via App vs Website)

Data:

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xychart-beta
  title "Line Graph: Daily Orders via App vs Website"
  x-axis ["Mon","Tue","Wed","Thu","Fri","Sat","Sun"]
  y-axis "Orders" 200 --> 750
  line [320,340,360,355,380,410,390]
  line [240,250,265,280,290,300,310]

Questions (MCQ):
Q1: What is the total combined orders for the whole week (Mon–Sun), and what percent of it comes from the App?
A) 4490 and 55.9%;
B) 4490 and 56.9%;
C) 4590 and 56.9%;
D) 4590 and 57.9%;

Q2: If on Thu and Fri, App orders decrease by 6% and Website orders increase by 8%, what is the new combined total for Thu + Fri together?
A) 1304.5 orders;
B) 1305.5 orders;
C) 1306.5 orders;
D) 1307.5 orders;

Q3: Which day has Website share of combined orders closest to 45%, and what is that share (approx)?
A) Thu and 44.1%;
B) Fri and 43.3%;
C) Sun and 44.3%;
D) Wed and 42.4%;

Q4: What is the difference between (average combined orders on weekend: Sat & Sun) and (average combined orders in first 3 days: Mon–Wed)?
A) 111.3 orders;
B) 112.3 orders;
C) 113.3 orders;
D) 114.3 orders;

Q5: How many extra Website orders are needed on Tuesday so that Website becomes exactly 44% of Tuesday’s combined orders (App unchanged)?
A) 16.1 orders;
B) 17.1 orders;
C) 18.1 orders;
D) 19.1 orders;

Answers and Explanations:
Answer (Q1): B) 4490 and 56.9%
Explanation: App total = 320+340+360+355+380+410+390 = 2555.
Combined total = 2555 + (240+250+265+280+290+300+310=1935) = 4490.
App share = 2555 ÷ 4490 × 100 = 56.90% ≈ 56.9%.

Answer (Q2): C) 1306.5 orders
Explanation: Thu new = (355×0.94) + (280×1.08) = 333.7 + 302.4 = 636.1.
Fri new = (380×0.94) + (290×1.08) = 357.2 + 313.2 = 670.4.
Thu+Fri new total = 636.1 + 670.4 = 1306.5.

Answer (Q3): C) Sun and 44.3%
Explanation: Website share = Website ÷ (App+Website) × 100.
Sun share = 310 ÷ (390+310=700) × 100 = 44.29% ≈ 44.3%.
This is closest to 45% among all days.

Answer (Q4): C) 113.3 orders
Explanation: Weekend avg = (Sat 710 + Sun 700) ÷ 2 = 705.
Mon–Wed avg = (560+590+625) ÷ 3 = 591.67.
Difference = 705 − 591.67 = 113.33 ≈ 113.3.

Answer (Q5): B) 17.1 orders
Explanation: Let Tuesday Website = W. Need W = 44% of (340 + W).
So W = 0.44(340+W) ⇒ 0.56W = 149.6 ⇒ W = 267.14.
Extra needed = 267.14 − 250 = 17.14 ≈ 17.1.

DI Set 8: Graph DI (Line Graph: Quarterly Production of Two Plants)

Data:

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xychart-beta
  title "Line Graph: Quarterly Production of Two Plants"
  x-axis ["Q1","Q2","Q3","Q4","Q5","Q6"]
  y-axis "Production (thousand units)" 160 --> 340
  line [240,260,280,275,300,320]
  line [180,190,210,220,230,240]

Questions (MCQ):
Q1: What is the overall percentage increase in combined production (A + B) from Q1 to Q6?
A) 32.3%;
B) 33.3%;
C) 34.3%;
D) 35.3%;

Q2: If in Q4–Q6, Plant A has 6% wastage (reduce output) and Plant B increases by 4%, what is the new combined total production of Q4 + Q5 + Q6?
A) 1556.9 thousand;
B) 1557.9 thousand;
C) 1558.9 thousand;
D) 1559.9 thousand;

Q3: What is the ratio of (Plant A total in Q1–Q3) to (Plant B total in Q4–Q6) in simplest form?
A) 23:26;
B) 26:23;
C) 780:690;
D) 78:69;

Q4: What is the difference between the median combined production and the average combined production across all six quarters (approx)?
A) 1.2 thousand;
B) 1.7 thousand;
C) 2.2 thousand;
D) 2.7 thousand;

Q5: If the target combined production is 500 thousand each quarter, what is the total shortfall across all quarters that miss the target?
A) 140 thousand;
B) 145 thousand;
C) 150 thousand;
D) 155 thousand;

Answers and Explanations:
Answer (Q1): B) 33.3%
Explanation: Q1 combined = 240+180 = 420, Q6 combined = 320+240 = 560.
% Increase = (560 − 420) ÷ 420 × 100 = 33.33% ≈ 33.3%.

Answer (Q2): C) 1558.9 thousand
Explanation: Adjusted A (Q4–Q6) = (275+300+320)×0.94 = 895×0.94 = 841.3.
Adjusted B (Q4–Q6) = (220+230+240)×1.04 = 690×1.04 = 717.6.
New total = 841.3 + 717.6 = 1558.9.

Answer (Q3): B) 26:23
Explanation: A total (Q1–Q3) = 240+260+280 = 780.
B total (Q4–Q6) = 220+230+240 = 690.
Ratio = 780:690 = 26:23.

Answer (Q4): B) 1.7 thousand
Explanation: Combined totals = 420, 450, 490, 495, 530, 560.
Average = 2945 ÷ 6 = 490.83; Median = (490+495) ÷ 2 = 492.5.
Difference = 492.5 − 490.83 = 1.67 ≈ 1.7.

Answer (Q5): B) 145 thousand
Explanation: Shortfalls vs 500: Q1 80, Q2 50, Q3 10, Q4 5 (Q5, Q6 meet).
Total shortfall = 80 + 50 + 10 + 5 = 145.

DI Set 4: Graph DI (Line Graph: Year-wise Education vs Health Budget)

Data:

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xychart-beta
  title "Line Graph: Year-wise Education vs Health Budget"
  x-axis ["2019","2020","2021","2022","2023","2024"]
  y-axis "Budget (₹ thousand crore)" 180 --> 420
  line [310,330,350,345,370,395]
  line [205,220,235,245,255,270]

Questions (MCQ):
Q1: What is the overall percentage increase in combined budget (Education + Health) from 2019 to 2024?
A) 28.1%;
B) 29.1%;
C) 30.1%;
D) 31.1%;

Q2: If from 2022 to 2024, Education is cut by 4% and Health gets a 6% bonus, what is the new combined total budget of 2022 + 2023 + 2024 together?
A) 1879.8;
B) 1880.8;
C) 1881.8;
D) 1882.8;

Q3: What is the ratio of total Education budget to total Health budget from 2019 to 2024 (simplest form)?
A) 210:143;
B) 143:210;
C) 2100:1430;
D) 21:14;

Q4: Which year has Education share of combined budget closest to 58%, and what is that share (approx)?
A) 2022 and 58.5%;
B) 2021 and 59.8%;
C) 2023 and 59.2%;
D) 2020 and 60.0%;

Q5: If the minimum required combined budget per year is 600, what is the total shortfall across all years that are below 600?
A) 150;
B) 160;
C) 170;
D) 180;

Answers and Explanations:
Answer (Q1): B) 29.1%
Explanation: 2019 combined = 310+205 = 515, 2024 combined = 395+270 = 665.
% Increase = (665 − 515) ÷ 515 × 100 = 29.13% ≈ 29.1%.

Answer (Q2): C) 1881.8
Explanation: Adjusted Education (2022–2024) = (345+370+395)×0.96 = 1110×0.96 = 1065.6.
Adjusted Health (2022–2024) = (245+255+270)×1.06 = 770×1.06 = 816.2.
New total = 1065.6 + 816.2 = 1881.8.

Answer (Q3): A) 210:143
Explanation: Total Education = 310+330+350+345+370+395 = 2100.
Total Health = 205+220+235+245+255+270 = 1430.
Ratio = 2100:1430 = 210:143.

Answer (Q4): A) 2022 and 58.5%
Explanation: Education share = Education ÷ (Education+Health) × 100.
For 2022: 345 ÷ (345+245=590) × 100 = 58.47% ≈ 58.5%.
This is closest to 58% among all years.

Answer (Q5): B) 160
Explanation: Combined totals below 600: 2019 short 85, 2020 short 50, 2021 short 15, 2022 short 10.
Total shortfall = 85 + 50 + 15 + 10 = 160.

DI Set 5: Graph DI (Line Graph: Monthly Smartphone Sales in Two Regions)

Data:

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xychart-beta
  title "Line Graph: Monthly Smartphone Sales in Two Regions"
  x-axis ["Jan","Feb","Mar","Apr","May","Jun"]
  y-axis "Sales (thousand units)" 55 --> 110
  line [78,82,90,86,94,102]
  line [62,64,67,72,74,78]

Questions (MCQ):
Q1: What is the overall percentage increase in combined sales (North + South) from January to June?
A) 27.6%;
B) 28.6%;
C) 29.6%;
D) 30.6%;

Q2: If in Apr–Jun, North faces 5% returns (reduce sales) and South gets a 3% promotion boost, what is the new combined total sales of Apr + May + Jun together?
A) 497.6 thousand;
B) 498.6 thousand;
C) 499.6 thousand;
D) 500.6 thousand;

Q3: What is the ratio of (North total sales in Jan–Mar) to (South total sales in Apr–Jun) in simplest form?
A) 125:112;
B) 112:125;
C) 250:224;
D) 25:22;

Q4: What is the difference between (average of top 3 monthly combined sales) and (average of bottom 3 monthly combined sales)?
A) 20 thousand;
B) 21 thousand;
C) 22 thousand;
D) 23 thousand;

Q5: How many extra South units are needed in February so that South becomes exactly 46% of February’s combined sales (North unchanged)?
A) 5.3 thousand;
B) 5.9 thousand;
C) 6.4 thousand;
D) 6.9 thousand;

Answers and Explanations:
Answer (Q1): B) 28.6%
Explanation: Jan combined = 78+62 = 140, Jun combined = 102+78 = 180.
% Increase = (180 − 140) ÷ 140 × 100 = 28.57% ≈ 28.6%.

Answer (Q2): B) 498.6 thousand
Explanation: Adjusted North (Apr–Jun) = (86+94+102)×0.95 = 282×0.95 = 267.9.
Adjusted South (Apr–Jun) = (72+74+78)×1.03 = 224×1.03 = 230.72.
New total = 267.9 + 230.72 = 498.62 ≈ 498.6.

Answer (Q3): A) 125:112
Explanation: North (Jan–Mar) = 78+82+90 = 250.
South (Apr–Jun) = 72+74+78 = 224.
Ratio = 250:224 = 125:112.

Answer (Q4): B) 21 thousand
Explanation: Combined totals = 140, 146, 157, 158, 168, 180.
Top 3 avg = (180+168+158) ÷ 3 = 168.67; Bottom 3 avg = (140+146+157) ÷ 3 = 147.67.
Difference = 168.67 − 147.67 = 21.

Answer (Q5): B) 5.9 thousand
Explanation: Let Feb South = S. Need S = 46% of (82 + S).
So S = 0.46(82+S) ⇒ 0.54S = 37.72 ⇒ S = 69.85.
Extra needed = 69.85 − 64 = 5.85 ≈ 5.9.

DI Set 11: Graph DI (Line Graph: Monthly Profit of Two Product Lines)

Data:

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xychart-beta
  title "Line Graph: Monthly Profit of Two Product Lines"
  x-axis ["Jan","Feb","Mar","Apr","May","Jun"]
  y-axis "Profit (₹ lakhs)" 20 --> 55
  line [32,36,40,38,45,50]
  line [24,26,30,31,33,35]

Questions (MCQ):
Q1: What is the overall percentage increase in combined profit (X + Y) from January to June?
A) 50.8%;
B) 51.8%;
C) 52.8%;
D) 53.8%;

Q2: If Product X decreases by 8% in Apr–Jun and Product Y increases by 5% in Apr–Jun, what is the new combined total profit of Apr + May + Jun together?
A) 225.3 ₹ lakhs;
B) 226.3 ₹ lakhs;
C) 227.3 ₹ lakhs;
D) 228.3 ₹ lakhs;

Q3: What is the ratio of total Product X profit to total Product Y profit from Jan to Jun (simplest form)?
A) 241:179;
B) 482:358;
C) 179:241;
D) 24:18;

Q4: What is the difference between the average of top 3 monthly combined profits and the average of bottom 3 monthly combined profits?
A) 14.3 ₹ lakhs;
B) 15.0 ₹ lakhs;
C) 15.3 ₹ lakhs;
D) 16.3 ₹ lakhs;

Q5: If the target combined profit is 75 ₹ lakhs every month, what is the total shortfall across all months that miss the target?
A) 42 ₹ lakhs;
B) 43 ₹ lakhs;
C) 44 ₹ lakhs;
D) 45 ₹ lakhs;

Answers and Explanations:
Answer (Q1): B) 51.8%
Explanation: Jan combined = 32 + 24 = 56; Jun combined = 50 + 35 = 85.
Increase = 85 − 56 = 29.
% Increase = (29 ÷ 56) × 100 = 51.79% ≈ 51.8%.

Answer (Q2): B) 226.3 ₹ lakhs
Explanation: Adjusted X (Apr–Jun) = 38×0.92 + 45×0.92 + 50×0.92 = 34.96 + 41.40 + 46.00.
Adjusted Y (Apr–Jun) = 31×1.05 + 33×1.05 + 35×1.05 = 32.55 + 34.65 + 36.75.
New total = (34.96+32.55) + (41.40+34.65) + (46.00+36.75) = 226.31 ≈ 226.3.

Answer (Q3): A) 241:179
Explanation: Total X = 32+36+40+38+45+50 = 241.
Total Y = 24+26+30+31+33+35 = 179.
Ratio = 241:179 (already simplest).

Answer (Q4): C) 15.3 ₹ lakhs
Explanation: Monthly combined = 56, 62, 70, 69, 78, 85.
Top 3 avg = (85 + 78 + 70) ÷ 3 = 77.67; Bottom 3 avg = (56 + 62 + 69) ÷ 3 = 62.33.
Difference = 77.67 − 62.33 = 15.33 ≈ 15.3.

Answer (Q5): B) 43 ₹ lakhs
Explanation: Target = 75. Shortfalls: Jan 19, Feb 13, Mar 5, Apr 6.
Total shortfall = 19 + 13 + 5 + 6 = 43 ₹ lakhs.

DI Set 12: Graph DI (Line Graph: Daily Website Traffic — Organic vs Paid)

Data:

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xychart-beta
  title "Line Graph: Daily Website Traffic — Organic vs Paid"
  x-axis ["Mon","Tue","Wed","Thu","Fri","Sat","Sun"]
  y-axis "Traffic (thousand)" 40 --> 150
  line [120,125,130,128,135,140,138]
  line [45,48,50,52,55,58,60]

Questions (MCQ):
Q1: What is the total combined traffic for the full week (Mon–Sun), and what percent of it comes from Paid traffic?
A) 1284 thousand and 28.7%;
B) 1274 thousand and 28.7%;
C) 1284 thousand and 29.7%;
D) 1294 thousand and 28.7%;

Q2: If Paid traffic increases by 12% on Saturday and Sunday only (Organic unchanged), what is the new combined traffic for Sat + Sun together?
A) 409.2 thousand;
B) 410.2 thousand;
C) 411.2 thousand;
D) 412.2 thousand;

Q3: On Thursday, how many extra Organic (thousand) are needed so that Organic becomes exactly 72% of Thursday’s combined traffic (Paid unchanged)?
A) 5.4 thousand;
B) 5.7 thousand;
C) 6.0 thousand;
D) 6.3 thousand;

Q4: What is the difference between the average combined traffic of weekdays (Mon–Fri) and the average combined traffic of weekend (Sat–Sun)?
A) 19.4 thousand;
B) 20.0 thousand;
C) 20.4 thousand;
D) 21.4 thousand;

Q5: From Monday to Sunday, Paid grows faster than Organic by how many percentage points?
A) Paid faster by 18.3 points;
B) Organic faster by 18.3 points;
C) Paid faster by 15.0 points;
D) Organic faster by 15.0 points;

Answers and Explanations:
Answer (Q1): A) 1284 thousand and 28.7%
Explanation: Weekly totals: Organic = 916, Paid = 368, Combined = 916 + 368 = 1284.
Paid share = (368 ÷ 1284) × 100 = 28.66% ≈ 28.7%.

Answer (Q2): B) 410.2 thousand
Explanation: Sat new Paid = 58×1.12 = 64.96 → Sat new total = 140 + 64.96 = 204.96.
Sun new Paid = 60×1.12 = 67.20 → Sun new total = 138 + 67.20 = 205.20.
Sat+Sun new total = 204.96 + 205.20 = 410.16 ≈ 410.2.

Answer (Q3): B) 5.7 thousand
Explanation: Let Thu Organic become O. Need O/(O+52) = 0.72.
So O = 0.72O + 37.44 → 0.28O = 37.44 → O = 133.71.
Extra needed = 133.71 − 128 = 5.71 ≈ 5.7.

Answer (Q4): C) 20.4 thousand
Explanation: Combined per day = 165, 173, 180, 180, 190, 198, 198.
Weekdays avg = (165+173+180+180+190) ÷ 5 = 177.6; Weekend avg = (198+198) ÷ 2 = 198.
Difference = 198 − 177.6 = 20.4.

Answer (Q5): A) Paid faster by 18.3 points
Explanation: Paid: 45→60, % increase = (15÷45)×100 = 33.33%.
Organic: 120→138, % increase = (18÷120)×100 = 15.00%.
Difference = 33.33 − 15.00 = 18.33 points ≈ 18.3.

DI Set 13: Graph DI (Line Graph: Quarterly Output of Two Factories)

Data:

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xychart-beta
  title "Line Graph: Quarterly Output of Two Factories"
  x-axis ["Q1","Q2","Q3","Q4"]
  y-axis "Output (units)" 400 --> 650
  line [520,560,610,590]
  line [430,450,470,500]

Questions (MCQ):
Q1: What is the overall percentage increase in combined output (A + B) from Q1 to Q4?
A) 13.7%;
B) 14.7%;
C) 15.7%;
D) 16.7%;

Q2: If Factory A has 5% defects in Q2 and Q3 (reduce output) and Factory B increases by 3% in Q2 and Q3, what is the new combined output of Q2 + Q3 together?
A) 2058.1 units;
B) 2059.1 units;
C) 2060.1 units;
D) 2061.1 units;

Q3: What is the ratio of total Factory A output to total Factory B output across all 4 quarters (simplest form)?
A) 2280:1850;
B) 228:185;
C) 185:228;
D) 456:370;

Q4: What is the difference between the median combined quarterly output and the average combined quarterly output?
A) 11.5 units;
B) 12.5 units;
C) 13.5 units;
D) 14.5 units;

Q5: If the annual combined target is 4200 units, how many additional units are needed to meet the target?
A) 60 units;
B) 70 units;
C) 80 units;
D) 90 units;

Answers and Explanations:
Answer (Q1): B) 14.7%
Explanation: Q1 combined = 520 + 430 = 950; Q4 combined = 590 + 500 = 1090.
Increase = 1090 − 950 = 140.
% Increase = (140 ÷ 950) × 100 = 14.74% ≈ 14.7%.

Answer (Q2): B) 2059.1 units
Explanation: Q2 new = 560×0.95 + 450×1.03 = 532.0 + 463.5 = 995.5.
Q3 new = 610×0.95 + 470×1.03 = 579.5 + 484.1 = 1063.6.
Q2+Q3 new total = 995.5 + 1063.6 = 2059.1.

Answer (Q3): B) 228:185
Explanation: Total A = 520+560+610+590 = 2280.
Total B = 430+450+470+500 = 1850.
Ratio = 2280:1850 = 228:185 (divide by 10).

Answer (Q4): B) 12.5 units
Explanation: Combined outputs = 950, 1010, 1080, 1090.
Average = (950+1010+1080+1090) ÷ 4 = 1032.5; Median = (1010+1080) ÷ 2 = 1045.
Difference = 1045 − 1032.5 = 12.5.

Answer (Q5): B) 70 units
Explanation: Total combined output = 950 + 1010 + 1080 + 1090 = 4130.
Target = 4200.
Additional needed = 4200 − 4130 = 70.

DI Set 14: Graph DI (Line Graph: Monthly Electricity Units — Home vs Shop)

Data:

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xychart-beta
  title "Line Graph: Monthly Electricity Units — Home vs Shop"
  x-axis ["Jan","Feb","Mar","Apr","May"]
  y-axis "Units" 100 --> 240
  line [180,195,210,205,225]
  line [120,130,140,150,155]

Questions (MCQ):
Q1: What is the overall percentage increase in combined units (Home + Shop) from January to May?
A) 25.7%;
B) 26.7%;
C) 27.7%;
D) 28.7%;

Q2: If in April, Home reduces by 6% and Shop increases by 4%, what is the new combined units for April?
A) 347.7 units;
B) 348.7 units;
C) 349.7 units;
D) 350.7 units;

Q3: In March, Home costs ₹6/unit and Shop costs ₹5/unit. Add fixed charge ₹200, then apply 18% GST on (energy + fixed). What is the final bill?
A) ₹2538.8;
B) ₹2548.8;
C) ₹2558.8;
D) ₹2568.8;

Q4: What is the difference between the average combined units of Jan–Feb and the average combined units of Apr–May?
A) 54 units;
B) 55 units;
C) 56 units;
D) 57 units;

Q5: If the minimum required combined units is 360 each month, what is the total shortfall across all months below 360?
A) 105 units;
B) 110 units;
C) 115 units;
D) 120 units;

Answers and Explanations:
Answer (Q1): B) 26.7%
Explanation: Jan combined = 180 + 120 = 300; May combined = 225 + 155 = 380.
Increase = 380 − 300 = 80.
% Increase = (80 ÷ 300) × 100 = 26.67% ≈ 26.7%.

Answer (Q2): B) 348.7 units
Explanation: New Home (Apr) = 205×0.94 = 192.7.
New Shop (Apr) = 150×1.04 = 156.0.
New combined = 192.7 + 156.0 = 348.7.

Answer (Q3): B) ₹2548.8
Explanation: Energy cost = (210×6) + (140×5) = 1260 + 700 = 1960.
Add fixed = 1960 + 200 = 2160.
GST 18% = 0.18×2160 = 388.8 → Final = 2160 + 388.8 = ₹2548.8.

Answer (Q4): B) 55 units
Explanation: Combined: Jan 300, Feb 325 → avg = (300+325)÷2 = 312.5.
Combined: Apr 355, May 380 → avg = (355+380)÷2 = 367.5.
Difference = 367.5 − 312.5 = 55.

Answer (Q5): B) 110 units
Explanation: Combined per month = 300, 325, 350, 355, 380.
Shortfalls vs 360: 60, 35, 10, 5, 0.
Total shortfall = 60 + 35 + 10 + 5 = 110.

DI Set 15: Graph DI (Line Graph: Year-wise Students Trained in Two Institutes)

Data:

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xychart-beta
  title "Line Graph: Year-wise Students Trained in Two Institutes"
  x-axis ["2020","2021","2022","2023","2024","2025"]
  y-axis "Students" 100 --> 320
  line [160,180,210,240,260,300]
  line [120,135,150,165,190,210]

Questions (MCQ):
Q1: What is the overall percentage increase in combined trainees (A + B) from 2020 to 2025?
A) 80.1%;
B) 81.1%;
C) 82.1%;
D) 83.1%;

Q2: If in 2023–2025 Institute A reduces by 6% and Institute B increases by 4%, what is the new combined total trainees of 2023 + 2024 + 2025 together?
A) 1338.6;
B) 1339.6;
C) 1340.6;
D) 1341.6;

Q3: What is the ratio of total Institute A trainees to total Institute B trainees from 2020 to 2025 (simplest form)?
A) 1350:970;
B) 135:97;
C) 97:135;
D) 270:194;

Q4: What is the difference between the average combined trainees of the last 3 years (2023–2025) and the first 3 years (2020–2022)?
A) 135.7;
B) 136.7;
C) 137.7;
D) 138.7;

Q5: In 2024, how many extra trainees must Institute B add so that B becomes exactly 45% of the 2024 combined total (A unchanged)?
A) 21.7;
B) 22.7;
C) 23.7;
D) 24.7;

Answers and Explanations:
Answer (Q1): C) 82.1%
Explanation: 2020 combined = 160 + 120 = 280; 2025 combined = 300 + 210 = 510.
Increase = 510 − 280 = 230.
% Increase = (230 ÷ 280) × 100 = 82.14% ≈ 82.1%.

Answer (Q2): B) 1339.6
Explanation: Adjusted A (2023–2025) = 240×0.94 + 260×0.94 + 300×0.94 = 225.6 + 244.4 + 282.0.
Adjusted B (2023–2025) = 165×1.04 + 190×1.04 + 210×1.04 = 171.6 + 197.6 + 218.4.
New total = (225.6+171.6) + (244.4+197.6) + (282.0+218.4) = 1339.6.

Answer (Q3): B) 135:97
Explanation: Total A = 160+180+210+240+260+300 = 1350.
Total B = 120+135+150+165+190+210 = 970.
Ratio = 1350:970 = 135:97 (divide by 10).

Answer (Q4): B) 136.7
Explanation: First 3 combined = 280 + 315 + 360 = 955 → avg = 955 ÷ 3 = 318.33.
Last 3 combined = 405 + 450 + 510 = 1365 → avg = 1365 ÷ 3 = 455.
Difference = 455 − 318.33 = 136.67 ≈ 136.7.

Answer (Q5): B) 22.7
Explanation: Let new B = B’. Need B’/(260 + B’) = 0.45.
So B’ = 0.45(260 + B’) → 0.55B’ = 117 → B’ = 212.73.
Extra needed = 212.73 − 190 = 22.73 ≈ 22.7.