Bar Charts DI – Hard Level

Hard-level DI questions test not just math, but your decision speed and multi-step reasoning. This Bar Chart DI – Hard Level set includes tricky percentage changes, transfer-based questions, closest options, and “overall change” style problems. Practice 15–20 minutes daily, and after solving one DI set, re-check your steps to remove silly mistakes. If you consistently do this daily, hard DI will start feeling manageable in the exam.

DI Set 1: Graph DI (Bar Graph: Quarterly Profit by Branch – FY2025)

Data:

BranchProfit (₹ Lakhs)
North64
South88
East72
West96
Central80
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xychart-beta
    title "Bar Graph: Quarterly Profit by Branch - FY2025"
    x-axis ["North","South","East","West","Central"]
    y-axis "₹ Lakhs" 0 --> 110
    bar [64,88,72,96,80]

Questions (MCQ):
Q1: If North profit increases by 25% and West profit decreases by 12.5%, what is the new total profit (₹ Lakhs)?
A) 402;
B) 404;
C) 406;
D) 408;

Q2: By what percentage is West profit higher than East profit (rounded to 2 decimals)?
A) 31.25%;
B) 33.33%;
C) 35.00%;
D) 36.11%;

Q3: If South and Central each spend 25% of their profit, what is their combined remaining profit (₹ Lakhs)?
A) 124;
B) 125;
C) 126;
D) 128;

Q4: If ₹10 Lakhs profit is transferred from West to North, what is the new ratio of North to West?
A) 37:43;
B) 43:37;
C) 74:86;
D) 35:41;

Q5: If each branch profit increases by ₹5 Lakhs, what is the overall percentage increase in total profit?
A) 5.75%;
B) 6.00%;
C) 6.25%;
D) 6.50%;

Answers and Explanations:
Answer (Q1): B) 404
Explanation:
25% of 64 = 16 → North becomes 80.
12.5% of 96 = 12 → West becomes 84.
New total = 400 + 16 − 12 = 404.

Answer (Q2): B) 33.33%
Explanation:
Difference = 96 − 72 = 24.
% higher = (24 ÷ 72) × 100 = 33.33%.

Answer (Q3): C) 126
Explanation:
Remaining South = 88 × 75% = 66.
Remaining Central = 80 × 75% = 60.
Combined remaining = 66 + 60 = 126.

Answer (Q4): A) 37:43
Explanation:
New North = 64 + 10 = 74.
New West = 96 − 10 = 86.
Ratio = 74:86 = 37:43.

Answer (Q5): C) 6.25%
Explanation:
Total increase = 5 branches × 5 = 25.
% increase = (25 ÷ 400) × 100 = 6.25%.

DI Set 2: Graph DI (Bar Graph: Units Sold by Product – Q2 2025)

Data:

ProductUnits Sold
A150
B180
C210
D240
E220
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xychart-beta
    title "Bar Graph: Units Sold by Product - Q2 2025"
    x-axis ["A","B","C","D","E"]
    y-axis "Units" 0 --> 280
    bar [150,180,210,240,220]

Questions (MCQ):
Q1: If A increases by 20% and B decreases by 10%, what is the new total units sold?
A) 1010;
B) 1011;
C) 1012;
D) 1013;

Q2: After C rises by 50 units and D falls by 20 units, what is the combined percentage share of C and E in the new total (rounded to 2 decimals)?
A) 45.63%;
B) 46.60%;
C) 47.57%;
D) 48.54%;

Q3: Profit per unit is ₹40 for A and B, and ₹50 for C, D, E. If profit reduces by 10% on (A+B) and by 8% on (C+D+E), what is the net profit (₹)?
A) 42600;
B) 42700;
C) 42800;
D) 42900;

Q4: Target is 1100 units. If A and B each increase by 15% and D decreases by 5%, what minimum whole units are still needed to reach 1100?
A) 60;
B) 62;
C) 63;
D) 65;

Q5: If total sales first increase by 8% and then 3% of the new total is returned, what is the net units (rounded to nearest whole)?
A) 1046;
B) 1048;
C) 1050;
D) 1052;

Answers and Explanations:
Answer (Q1): C) 1012
Explanation:
A +20% ⇒ 150 + 30 = 180.
B −10% ⇒ 180 − 18 = 162.
New total = 180 + 162 + 210 + 240 + 220 = 1012.

Answer (Q2): B) 46.60%
Explanation:
New C = 210 + 50 = 260, new D = 240 − 20 = 220.
New total = 1000 + 50 − 20 = 1030.
% share of (C+E) = (260+220)/1030 × 100 = 46.60%.

Answer (Q3): B) 42700
Explanation:
Profit(A+B) = (150+180)×40 = 13200 → after 10% cut = 11880.
Profit(C+D+E) = (210+240+220)×50 = 33500 → after 8% cut = 30820.
Net profit = 11880 + 30820 = 42700.

Answer (Q4): C) 63
Explanation:
New A = 150×1.15 = 172.5, new B = 180×1.15 = 207.
New D = 240×0.95 = 228 (C and E unchanged).
New total = 172.5 + 207 + 210 + 228 + 220 = 1037.5 → need 62.5 more ⇒ minimum 63.

Answer (Q5): B) 1048
Explanation:
After +8%: 1000 × 1.08 = 1080.
After 3% return: 1080 × 0.97 = 1047.6.
Rounded to nearest whole = 1048.

DI Set 3: Graph DI (Bar Graph: Population of 5 Towns – Census Snapshot)

Data:

TownPopulation (Thousands)
P48
Q60
R72
S54
T66
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xychart-beta
    title "Bar Graph: Population of 5 Towns - Census Snapshot"
    x-axis ["P","Q","R","S","T"]
    y-axis "Thousands" 0 --> 90
    bar [48,60,72,54,66]

Questions (MCQ):
Q1: If R increases by 12.5% and P decreases by 10%, what is the new total population (in thousands)?
A) 303.2;
B) 304.2;
C) 305.2;
D) 306.2;

Q2: (R + T) is what percent of (P + Q + S) (rounded to 2 decimals)?
A) 83.95%;
B) 85.19%;
C) 86.42%;
D) 87.65%;

Q3: If 6 thousand people move from Q to P, and 3 thousand move from S to T, what is the new ratio of P to T?
A) 6:7;
B) 18:23;
C) 23:18;
D) 54:72;

Q4: Average population is based on all 5 towns. If housing capacity is increased by 15% only in towns below the average, what is the new total capacity (in thousands)?
A) 313.8;
B) 315.3;
C) 316.8;
D) 318.3;

Q5: How many thousand people must move from R to P so that P and R become equal (others unchanged)?
A) 10;
B) 11;
C) 12;
D) 13;

Answers and Explanations:
Answer (Q1): B) 304.2
Explanation:
12.5% of 72 = 9 → R becomes 81.
10% of 48 = 4.8 → P becomes 43.2.
New total = 300 + 9 − 4.8 = 304.2.

Answer (Q2): B) 85.19%
Explanation:
R+T = 72 + 66 = 138.
P+Q+S = 48 + 60 + 54 = 162.
% = (138 ÷ 162) × 100 = 85.19%.

Answer (Q3): B) 18:23
Explanation:
New P = 48 + 6 = 54.
New T = 66 + 3 = 69.
Ratio = 54:69 = 18:23.

Answer (Q4): B) 315.3
Explanation:
Average = 300 ÷ 5 = 60.
Below average towns: P (48) and S (54).
Increase = 15% of 48 (7.2) + 15% of 54 (8.1) = 15.3 → new total = 315.3.

Answer (Q5): C) 12
Explanation:
Let x move from R to P.
P becomes (48 + x) and R becomes (72 − x).
48 + x = 72 − x → 2x = 24 → x = 12.

DI Set 4: Graph DI (Bar Graph: Monthly Expenses by Department – Company X)

Data:

DepartmentExpense (₹ Thousands)
HR85
IT110
Sales95
Admin70
R&D140
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xychart-beta
    title "Bar Graph: Monthly Expenses by Department - Company X"
    x-axis ["HR","IT","Sales","Admin","R&D"]
    y-axis "₹ Thousands" 0 --> 160
    bar [85,110,95,70,140]

Questions (MCQ):
Q1: IT is cut by 10% and R&D is cut by 5%. The total savings is added equally to HR and Admin. What is the new HR expense (₹ Thousands)?
A) 92;
B) 93;
C) 94;
D) 95;

Q2: If Sales increases by 15 (₹ Thousands), what percentage of the new total is contributed by (IT + R&D) (rounded to 2 decimals)?
A) 47.57%;
B) 48.54%;
C) 49.51%;
D) 50.48%;

Q3: If Admin increases by 20% and HR increases by 10%, what is the new average expense (₹ Thousands)?
A) 103.5;
B) 104.0;
C) 104.5;
D) 105.0;

Q4: If each department increases by 6 (₹ Thousands) and Sales gets an extra 4 (₹ Thousands) more, what is the overall percentage increase in total expense?
A) 6.2%;
B) 6.5%;
C) 6.8%;
D) 7.1%;

Q5: After moving 12 from R&D to Admin and 8 from Sales to HR, what is the new ratio of Core (IT+Sales+R&D) to Support (HR+Admin)?
A) 12:7;
B) 13:7;
C) 13:8;
D) 14:7;

Answers and Explanations:
Answer (Q1): C) 94
Explanation:
IT cut = 10% of 110 = 11; R&D cut = 5% of 140 = 7.
Total savings = 11 + 7 = 18 → split equally = 9 each to HR and Admin.
New HR = 85 + 9 = 94.

Answer (Q2): B) 48.54%
Explanation:
New total = 500 + 15 = 515.
IT + R&D = 110 + 140 = 250.
% = (250 ÷ 515) × 100 = 48.54%.

Answer (Q3): C) 104.5
Explanation:
Admin +20%: 70 → 84 (increase 14).
HR +10%: 85 → 93.5 (increase 8.5).
New total = 500 + 14 + 8.5 = 522.5 → average = 522.5 ÷ 5 = 104.5.

Answer (Q4): C) 6.8%
Explanation:
Total increase = 6×5 + 4 = 34.
New total = 500 + 34 = 534.
% increase = (34 ÷ 500) × 100 = 6.8%.

Answer (Q5): B) 13:7
Explanation:
After transfers: R&D 140−12=128, Admin 70+12=82; Sales 95−8=87, HR 85+8=93.
Core = IT 110 + Sales 87 + R&D 128 = 325. Support = HR 93 + Admin 82 = 175.
Ratio = 325:175 = 13:7.

DI Set 5: Graph DI (Bar Graph: Spending by Project – FY2025)

Data:

ProjectSpending (₹ Lakhs)
P1120
P2150
P3180
P4210
P5240
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xychart-beta
    title "Bar Graph: Spending by Project - FY2025"
    x-axis ["P1","P2","P3","P4","P5"]
    y-axis "₹ Lakhs" 0 --> 260
    bar [120,150,180,210,240]

Questions (MCQ):
Q1: If P1 and P2 each increase by 10% and P5 decreases by 12.5%, what is the new total spending (₹ Lakhs)?
A) 894;
B) 897;
C) 900;
D) 903;

Q2: If 20 is moved from P4 to P3 and 10 is moved from P5 to P1, what is the new ratio of P3 to P1?
A) 13:20;
B) 20:13;
C) 200:120;
D) 10:7;

Q3: If P1, P2, P4, P5 are cut by 5% each, but P3 increases by 8%, what percentage of the new total is P3 (rounded to 2 decimals)?
A) 21.48%;
B) 22.13%;
C) 22.78%;
D) 23.43%;

Q4: Projects below average get +10% contingency, and projects above average get −5% cut (average is based on original data). What is the new total spending (₹ Lakhs)?
A) 901.5;
B) 903.0;
C) 904.5;
D) 906.0;

Q5: If P2 is replaced by a new cost of 165, and the total budget must stay 900 by reducing each of the other 4 projects equally, by how much should each be reduced (₹ Lakhs)?
A) 3.25;
B) 3.50;
C) 3.75;
D) 4.00;

Answers and Explanations:
Answer (Q1): B) 897
Explanation:
+10% of P1 = 12, +10% of P2 = 15.
−12.5% of P5 = 30.
New total = 900 + 12 + 15 − 30 = 897.

Answer (Q2): B) 20:13
Explanation:
New P3 = 180 + 20 = 200.
New P1 = 120 + 10 = 130.
Ratio = 200:130 = 20:13.

Answer (Q3): B) 22.13%
Explanation:
New P1=120×0.95=114, P2=150×0.95=142.5, P4=210×0.95=199.5, P5=240×0.95=228.
New P3 = 180×1.08 = 194.4; new total = 878.4.
% = (194.4 ÷ 878.4) × 100 = 22.13%.

Answer (Q4): C) 904.5
Explanation:
Original average = 900 ÷ 5 = 180.
Below avg: P1, P2 → +10% = +12 +15 = +27. Above avg: P4, P5 → −5% = −10.5 −12 = −22.5.
New total = 900 + 27 − 22.5 = 904.5.

Answer (Q5): C) 3.75
Explanation:
P2 increases from 150 to 165 → extra 15.
To keep total 900, reduce 15 from the other 4 projects equally.
Reduction per project = 15 ÷ 4 = 3.75.

DI Set 6: Graph DI (Bar Graph: Subscription Revenue by Plan – May 2025)

Data:

PlanRevenue (₹ Lakhs)
Basic36
Standard54
Pro72
Team60
Enterprise90
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xychart-beta
    title "Bar Graph: Subscription Revenue by Plan - May 2025"
    x-axis ["Basic","Standard","Pro","Team","Enterprise"]
    y-axis "₹ Lakhs" 0 --> 110
    bar [36,54,72,60,90]

Questions (MCQ):
Q1: If Basic increases by 25%, Pro decreases by 12.5%, and Enterprise increases by 10%, what is the new total revenue (₹ Lakhs)?
A) 318;
B) 321;
C) 324;
D) 327;

Q2: What percentage of the total revenue is (Standard + Team) together (rounded to 2 decimals)?
A) 35.54%;
B) 36.54%;
C) 37.54%;
D) 38.54%;

Q3: If ₹12 Lakhs is transferred from Enterprise to Basic, what is the new ratio of Basic to Enterprise?
A) 6:11;
B) 8:13;
C) 13:8;
D) 4:7;

Q4: If Enterprise decreases by 15%, by what percentage must Pro increase to become equal to the new Enterprise revenue?
A) 5.25%;
B) 6.25%;
C) 7.25%;
D) 8.25%;

Q5: If each plan increases by ₹3 Lakhs, but Standard decreases by ₹2 Lakhs (after that increase), what is the overall percentage increase in total revenue (rounded to 2 decimals)?
A) 3.85%;
B) 4.17%;
C) 4.50%;
D) 4.75%;

Answers and Explanations:
Answer (Q1): B) 321 ₹ Lakhs
Explanation:
Original total = 36+54+72+60+90 = 312.
Changes: Basic +9, Pro −9, Enterprise +9 ⇒ net change = +9.
New total = 312 + 9 = 321.

Answer (Q2): B) 36.54%
Explanation:
Standard + Team = 54 + 60 = 114.
Total = 312.
% = (114 ÷ 312) × 100 = 36.54% (approx).

Answer (Q3): B) 8:13
Explanation:
New Basic = 36 + 12 = 48.
New Enterprise = 90 − 12 = 78.
Ratio = 48:78 = 8:13.

Answer (Q4): B) 6.25%
Explanation:
New Enterprise = 90 × 0.85 = 76.5.
Pro must go from 72 to 76.5 ⇒ increase = 4.5.
% increase = (4.5 ÷ 72) × 100 = 6.25%.

Answer (Q5): B) 4.17%
Explanation:
Total increase = (5 plans × 3) − 2 = 15 − 2 = 13.
New total = 312 + 13 = 325.
% increase = (13 ÷ 312) × 100 = 4.17% (approx).

DI Set 7: Graph DI (Bar Graph: Units Produced by 5 Plants – Week 3)

Data:

PlantUnits Produced
A480
B520
C600
D560
E440
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xychart-beta
    title "Bar Graph: Units Produced by 5 Plants - Week 3"
    x-axis ["Plant A","Plant B","Plant C","Plant D","Plant E"]
    y-axis "Units" 0 --> 700
    bar [480,520,600,560,440]

Questions (MCQ):
Q1: If Plant C reduces output by 15%, Plant E increases by 25%, and Plant A increases by 10%, what is the new total output?
A) 2658;
B) 2668;
C) 2678;
D) 2688;

Q2: If 40 units are shifted from Plant D to Plant B (total unchanged), what is the new percentage share of Plant B (rounded to 2 decimals)?
A) 20.54%;
B) 21.54%;
C) 22.54%;
D) 23.54%;

Q3: What is the ratio of (Plant A + Plant C) to (Plant B + Plant D + Plant E)?
A) 27:38;
B) 38:27;
C) 54:76;
D) 19:27;

Q4: To make every plant reach at least 550 units by transferring units only from Plant C, what will be Plant C’s remaining output?
A) 370;
B) 380;
C) 390;
D) 400;

Q5: Target total output is 2800 units. If Plant A and Plant D each increase by 12.5% (others unchanged), how many more units are still needed to reach 2800?
A) 60;
B) 70;
C) 80;
D) 90;

Answers and Explanations:
Answer (Q1): B) 2668
Explanation:
Original total = 480+520+600+560+440 = 2600.
Changes: C −90, E +110, A +48 ⇒ net = +68.
New total = 2600 + 68 = 2668.

Answer (Q2): B) 21.54%
Explanation:
After shift: B = 520 + 40 = 560 (total stays 2600).
% share = (560 ÷ 2600) × 100 = 21.54% (approx).

Answer (Q3): A) 27:38
Explanation:
A + C = 480 + 600 = 1080.
B + D + E = 520 + 560 + 440 = 1520.
Ratio = 1080:1520 = 27:38.

Answer (Q4): C) 390
Explanation:
Plants below 550: A needs 70, B needs 30, E needs 110.
Total given by C = 70 + 30 + 110 = 210.
C remaining = 600 − 210 = 390.

Answer (Q5): B) 70
Explanation:
Increase in A = 12.5% of 480 = 60.
Increase in D = 12.5% of 560 = 70.
New total = 2600 + 130 = 2730 ⇒ needed = 2800 − 2730 = 70.

DI Set 8: Graph DI (Bar Graph: Qualified Students by Section – Mock Test 2)

Data:

SectionQualified Students
Teaching Aptitude210
Data Interpretation190
Reasoning250
ICT160
Comprehension190
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xychart-beta
    title "Bar Graph: Qualified Students by Section - Mock Test 2"
    x-axis ["Teaching","DI","Reasoning","ICT","Comprehension"]
    y-axis "Students" 0 --> 300
    bar [210,190,250,160,190]

Questions (MCQ):
Q1: If DI increases by 15%, Reasoning decreases by 8%, and Teaching Aptitude increases by 10 students, what is the new total qualified (students)?
A) 1016.5;
B) 1018.5;
C) 1020.5;
D) 1022.5;

Q2: If 30 students move from Reasoning to DI and 20 students move from Teaching Aptitude to ICT, what is the new difference between DI and ICT?
A) 30;
B) 35;
C) 40;
D) 45;

Q3: What is the ratio of (Teaching Aptitude + Comprehension) to (DI + ICT)?
A) 7:8;
B) 8:7;
C) 9:8;
D) 8:9;

Q4: Only ICT increases by x students. After that, ICT becomes exactly 20% of the new total. What is x?
A) 40;
B) 45;
C) 50;
D) 55;

Q5: If every section increases by 5%, but Comprehension gets an extra +10 students after that 5% increase, what is the new total qualified (students)?
A) 1058;
B) 1060;
C) 1062;
D) 1065;

Answers and Explanations:
Answer (Q1): B) 1018.5
Explanation:
Original total = 1000.
DI +15% ⇒ +28.5; Reasoning −8% ⇒ −20; Teaching +10 ⇒ +10.
New total = 1000 + 28.5 − 20 + 10 = 1018.5.

Answer (Q2): C) 40
Explanation:
New DI = 190 + 30 = 220.
New ICT = 160 + 20 = 180.
Difference = 220 − 180 = 40.

Answer (Q3): B) 8:7
Explanation:
Teaching + Comprehension = 210 + 190 = 400.
DI + ICT = 190 + 160 = 350.
Ratio = 400:350 = 8:7.

Answer (Q4): C) 50
Explanation:
ICT becomes (160 + x), total becomes (1000 + x).
Condition: (160 + x)/(1000 + x) = 20/100.
160 + x = 200 + 0.2x ⇒ 0.8x = 40 ⇒ x = 50.

Answer (Q5): B) 1060
Explanation:
5% of total 1000 = +50 ⇒ becomes 1050.
Extra +10 for Comprehension ⇒ new total = 1050 + 10 = 1060.

DI Set 9: Graph DI (Bar Graph: Annual Expenditure by Head – Institute Budget)

Data:

HeadExpenditure (₹ Crores)
Salaries48
Infrastructure32
Research28
Scholarships22
Others20
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xychart-beta
    title "Bar Graph: Annual Expenditure by Head - Institute Budget"
    x-axis ["Salaries","Infra","Research","Scholarships","Others"]
    y-axis "₹ Crores" 0 --> 60
    bar [48,32,28,22,20]

Questions (MCQ):
Q1: If Scholarships increase by 25%, Research decreases by 10%, and Others increase by 15%, what is the new total expenditure (₹ Crores)?
A) 154.7;
B) 155.7;
C) 156.7;
D) 157.7;

Q2: By how much should Infrastructure change (only Infrastructure changes) so that (Salaries + Infrastructure) becomes exactly 60% of the new total?
A) Increase by 20;
B) Increase by 25;
C) Increase by 30;
D) Increase by 35;

Q3: If ₹5 Crores is transferred from Salaries to Research and ₹3 Crores from Infrastructure to Scholarships, what is the new ratio of Research to Scholarships?
A) 25:33;
B) 33:25;
C) 11:9;
D) 9:11;

Q4: After reducing Salaries by 12.5% and increasing Scholarships by 20%, by how many percentage points does Scholarships’ share increase (rounded to 2 decimals)?
A) 2.72;
B) 3.12;
C) 3.52;
D) 3.92;

Q5: If all heads increase by ₹2 Crores each, but Research decreases by ₹5 Crores after that increase, what is the overall percentage increase in total expenditure (rounded to 2 decimals)?
A) 3.00%;
B) 3.33%;
C) 3.67%;
D) 4.00%;

Answers and Explanations:
Answer (Q1): B) 155.7 ₹ Crores
Explanation:
Scholarships: +25% of 22 = +5.5. Research: −10% of 28 = −2.8. Others: +15% of 20 = +3.
Net change = 5.5 − 2.8 + 3 = +5.7.
New total = 150 + 5.7 = 155.7.

Answer (Q2): B) Increase by 25
Explanation:
Current (Salaries+Infra) = 48+32 = 80, total = 150.
Let Infra change = +x ⇒ (80+x)/(150+x) = 0.60.
80+x = 90+0.6x ⇒ 0.4x = 10 ⇒ x = 25.

Answer (Q3): B) 33:25
Explanation:
New Research = 28 + 5 = 33.
New Scholarships = 22 + 3 = 25.
Ratio = 33:25.

Answer (Q4): B) 3.12
Explanation:
Old Scholarships share = (22/150)×100 = 14.67%.
New Salaries = 48×0.875 = 42 (−6); New Scholarships = 22×1.2 = 26.4 (+4.4).
New total = 150 − 6 + 4.4 = 148.4; new share = (26.4/148.4)×100 = 17.79%.
Increase in share = 17.79 − 14.67 = 3.12 percentage points.

Answer (Q5): B) 3.33%
Explanation:
Total increase from +2 each = 5×2 = +10.
Then Research −5 ⇒ net change = +5.
% increase = (5 ÷ 150) × 100 = 3.33%.

DI Set 5: Graph DI (Bar Graph: Orders Processed by Team – Day 10)

Data:

TeamOrders
Team 1350
Team 2420
Team 3390
Team 4460
Team 5380
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xychart-beta
    title "Bar Graph: Orders Processed by Team - Day 10"
    x-axis ["Team 1","Team 2","Team 3","Team 4","Team 5"]
    y-axis "Orders" 0 --> 520
    bar [350,420,390,460,380]

Questions (MCQ):
Q1: If Team 4 decreases by 10%, Team 2 increases by 12.5%, and Team 1 increases by 20 orders, what is the new total orders?
A) 2024.5;
B) 2026.5;
C) 2028.5;
D) 2030.5;

Q2: If 30 orders shift from Team 4 to Team 3 and 20 orders shift from Team 2 to Team 5, which team becomes highest and by how many orders more than the second highest?
A) Team 3, by 10;
B) Team 4, by 10;
C) Team 4, by 20;
D) Team 2, by 10;

Q3: What is the combined percentage share of (Team 2 + Team 4) in the original total?
A) 42%;
B) 44%;
C) 46%;
D) 48%;

Q4: What is the minimum whole number of additional orders needed for Team 1 so that Team 1 becomes at least 20% of the new total?
A) 62;
B) 63;
C) 64;
D) 65;

Q5: If the total orders first increase by 6% and then 3% of the new total get cancelled, what is the final total (rounded to nearest whole)?
A) 2054;
B) 2056;
C) 2058;
D) 2060;

Answers and Explanations:
Answer (Q1): B) 2026.5
Explanation:
Original total = 2000.
Team 4: −10% of 460 = −46; Team 2: +12.5% of 420 = +52.5; Team 1: +20.
New total = 2000 − 46 + 52.5 + 20 = 2026.5.

Answer (Q2): B) Team 4, by 10
Explanation:
New Team 4 = 460 − 30 = 430; New Team 3 = 390 + 30 = 420.
New Team 2 = 420 − 20 = 400; New Team 5 = 380 + 20 = 400.
Highest = Team 4 (430), second = Team 3 (420) ⇒ difference = 10.

Answer (Q3): B) 44%
Explanation:
Team 2 + Team 4 = 420 + 460 = 880.
Total = 2000.
% = (880 ÷ 2000) × 100 = 44%.

Answer (Q4): B) 63
Explanation:
Need (350+x)/(2000+x) ≥ 0.20.
350 + x ≥ 400 + 0.2x ⇒ 0.8x ≥ 50 ⇒ x ≥ 62.5.
Minimum whole x = 63.

Answer (Q5): B) 2056
Explanation:
After +6%: 2000 × 1.06 = 2120.
After 3% cancellation: 2120 × 0.97 = 2056.4.
Rounded to nearest whole = 2056.

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