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Free Practice Questions for CHSE Odisha Business Mathematics & Statistics

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Key Facts: CHSE Odisha Business Mathematics & Statistics Exam

200 marks

BMS total across two years (Paper I 100 + Paper II 100)

CHSE Odisha Commerce Courses of Studies

Compulsory 3rd elective

BMS is required for +2 Commerce along with Accountancy and BSM

CHSE Odisha Commerce scheme of studies

3 hours

Typical duration for each 100-mark BMS theory paper

CHSE Odisha AHSE exam programme practice

Y2 project/viva

Paper II includes project work and viva as outlined in the syllabus

CHSE Odisha Commerce BMS Paper II Unit-V

In AHSE fee

No separate elective marketplace fee; included in session exam fee

CHSE Odisha AHSE fee structure via colleges

CHSE Odisha BMS is the +2 Commerce compulsory 3rd elective (200 marks: 100 Year 1 + 100 Year 2). Council AHSE Year-2 paper counts toward the pass certificate. This free 2026 bank is a calculation-heavy English MCQ study adaptation of official arithmetic, matrix, calculus, and descriptive-stats units—not a pure official-format simulation.

Sample CHSE Odisha Business Mathematics & Statistics Practice Questions

Try these sample questions to review concepts for the CHSE Odisha Business Mathematics & Statistics exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A trader buys an article for ₹800 and sells it for ₹920. What is the profit percentage?
A.15%
B.12%
C.20%
D.10%
Explanation: Profit = SP − CP = 920 − 800 = ₹120. Profit % = (120/800)×100 = 15%.
2An article costing ₹1,250 is sold at a loss of 8%. What is the selling price?
A.₹1,150
B.₹1,100
C.₹1,175
D.₹1,200
Explanation: SP = CP × (1 − loss fraction) = 1250 × 0.92 = ₹1,150.
3A shopkeeper marks goods 40% above cost and allows a 10% discount on the marked price. His profit percentage is:
A.26%
B.30%
C.24%
D.28%
Explanation: Let CP = 100. MP = 140. SP after 10% discount = 140 × 0.9 = 126. Profit % = 26%.
4By selling 20 articles for ₹1,800 a trader gains 20%. The cost price of one article is:
A.₹75
B.₹80
C.₹90
D.₹72
Explanation: SP of 20 = 1800 ⇒ SP each = 90. CP each = SP / 1.20 = 90/1.2 = ₹75. (Total CP = 1800/1.2 = 1500; per unit 1500/20 = 75.)
5A man sells two watches for ₹1,980 each. On one he gains 10% and on the other he loses 10%. His net result is:
A.A loss of 1% of total cost
B.No profit no loss
C.A gain of 1% of total cost
D.A loss of 2% of total cost
Explanation: CP1 = 1980/1.1 = 1800; CP2 = 1980/0.9 = 2200. Total CP = 4000; total SP = 3960; loss = 40 = 1% of 4000.
6After allowing a discount of 15%, a shopkeeper still gains 19%. If the cost price is ₹680, the marked price is:
A.₹952
B.₹900
C.₹920
D.₹850
Explanation: SP = 680 × 1.19 = 809.2. MP × 0.85 = 809.2 ⇒ MP = 809.2/0.85 = ₹952.
7A dealer bought goods for ₹2,400 and sold one-third at 20% profit and the remaining at 10% profit. Overall profit percentage is:
A.13⅓%
B.15%
C.12%
D.14%
Explanation: One-third CP = 800, profit 160; remaining CP = 1600, profit 160; total profit 320; overall % = 320/2400 × 100 = 13⅓%.
8If the cost price of 15 articles equals the selling price of 12 articles, the gain percent is:
A.25%
B.20%
C.15%
D.30%
Explanation: 15 CP = 12 SP ⇒ SP/CP = 15/12 = 5/4. Gain % = (1/4)×100 = 25%.
9A and B start a business with capitals ₹40,000 and ₹60,000. If the year's profit is ₹15,000, A's share is:
A.₹6,000
B.₹7,500
C.₹9,000
D.₹5,000
Explanation: Ratio A:B = 4:6 = 2:3. A's share = (2/5)×15000 = ₹6,000.
10A invests ₹50,000 for 12 months and B invests ₹80,000 for 6 months. Profit-sharing ratio A:B is:
A.5:4
B.5:8
C.1:1
D.2:3
Explanation: Capital-months: A = 50000×12 = 600000; B = 80000×6 = 480000. Ratio = 600:480 = 5:4.

About the CHSE Odisha Business Mathematics & Statistics Exam

Odisha CHSE Higher Secondary Business Mathematics and Statistics is the compulsory Commerce 3rd elective (Paper I Year 1 + Paper II Year 2). Year 1 covers profit and loss, partnership, logarithms, simple and compound interest, annuities, discounting of bills of exchange, stocks and shares, and introductory statistics (survey, data types, classification, tabulation). Year 2 covers determinants and matrices (including Cramer's rule), set theory, functions, limits and continuity, differentiation and integration (up to substitution), measures of central tendency (AM, GM, HM, median, mode, quartiles), and measures of dispersion (range, QD, MD, SD, CV), plus project/viva. Official assessment is mixed written calculation papers—not a pure MCQ board exam. Linear programming, correlation, formal probability, and index numbers belong to other electives (Mathematics/Statistics), not this Commerce BMS syllabus PDF.

Exam sponsor: Council of Higher Secondary Education, Odisha (CHSE Odisha). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

CHSE Odisha Commerce lists Business Mathematics & Statistics as a compulsory 3rd elective: Paper I (Year 1, 100 marks, college-level) and Paper II (Year 2, 100 marks, Council AHSE), totaling 200 marks. Papers are typically about 3 hours and emphasise commercial arithmetic, matrices/determinants, basic calculus, and descriptive statistics. Year 2 includes project work and viva as outlined in the Courses of Studies. This free bank is an English MCQ study adaptation—not a full long-answer or project simulation.

Time Limit

3 hours (per 100-mark paper)

Passing Score

~30% minimum in theory (confirm current AHSE circular)

Exam / Certification Fees

Included in the CHSE Odisha AHSE examination fee for the session (collected through the affiliated college/H.S. school; AHSE 2026 form-fill-up package commonly cited around ₹600 total sub-heads; no separate public per-elective marketplace fee).

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

~22% of this local bank

Y1 Business Arithmetic Core

P&L, partnership, logarithms, simple and compound interest.

~15% of this local bank

Y1 Annuity, Bills, Stocks

Annuity FV/PV, banker's discount, true discount, dividend and yield.

~8% of this local bank

Y1 Statistics Foundations

Statistics meaning/scope, survey steps, primary/secondary data, classification/tabulation.

~25% of this local bank

Y2 Matrices & Determinants

Matrix algebra, det order 2–3, Cramer's rule, sets, functions.

~12% of this local bank

Y2 Calculus

Limits, continuity, differentiation, integration to substitution.

~18% of this local bank

Y2 Averages & Dispersion

AM/GM/HM, median/mode/quartiles; range, QD, MD, SD, CV.

Preparing for the CHSE Odisha Business Mathematics & Statistics Exam

What You Need to Know

  • Passing score: ~30% minimum in theory (confirm current AHSE circular)
  • Assessment: CHSE Odisha Commerce lists Business Mathematics & Statistics as a compulsory 3rd elective: Paper I (Year 1, 100 marks, college-level) and Paper II (Year 2, 100 marks, Council AHSE), totaling 200 marks. Papers are typically about 3 hours and emphasise commercial arithmetic, matrices/determinants, basic calculus, and descriptive statistics. Year 2 includes project work and viva as outlined in the Courses of Studies. This free bank is an English MCQ study adaptation—not a full long-answer or project simulation.
  • Time limit: 3 hours (per 100-mark paper)
  • Exam / certification fees: Included in the CHSE Odisha AHSE examination fee for the session (collected through the affiliated college/H.S. school; AHSE 2026 form-fill-up package commonly cited around ₹600 total sub-heads; no separate public per-elective marketplace fee). Official sources

Using Our Practice Resources

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  • Review every answer and explanation
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CHSE Odisha Business Mathematics & Statistics: Suggested Study Strategy

1Master SI = PRT/100 and CI = P[(1+r)^n − 1] before attempting annuity and bill problems.
2For banker's discount, BD = F × r × t; true discount uses present value; banker's gain = BD − TD.
3Drill 2×2 and 3×3 determinants daily; practice Cramer's rule on two- and three-variable systems.
4Memorise AM ≥ GM ≥ HM for positive data and Mode ≈ 3 Median − 2 Mean (empirical).
5For SD of raw data, use √[Σ(x−x̄)²/n] (or divisor n−1 only if your textbook specifies sample form—CHSE BMS typically uses population form for simple problems).
6Use the Commerce Courses of Studies PDF and current circulars from chseodisha.nic.in.

Frequently Asked Questions

How is CHSE Odisha Higher Secondary Business Mathematics and Statistics examined?

BMS is a compulsory Commerce 3rd elective: Paper I (Year 1, 100 marks, college-level) and Paper II (Year 2, 100 marks, Council AHSE), totaling 200 marks. Papers are typically about 3 hours and mix objective and constructed-response numerical items. Year 2 includes project work and viva as notified.

What does Year 1 BMS cover?

Year 1 (Paper I) covers business arithmetic—profit and loss, partnership profit-sharing, logarithms, simple and compound interest, annuities, discounting of bills of exchange, stocks and shares—and introductory business statistics (framework, survey, primary/secondary data, classification and tabulation).

What does Year 2 BMS cover?

Year 2 (Paper II) covers determinants (to order 3, Cramer's rule), matrices and linear systems, set theory, functions, limits and continuity, differentiation, integration up to substitution, measures of central tendency (AM, GM, HM, median, mode, quartiles), measures of dispersion (range, QD, MD, SD, CV), and project/viva.

Does Commerce BMS include linear programming, correlation, or index numbers?

Not in the official CHSE Odisha Commerce Courses of Studies BMS units. Those topics appear in other electives (e.g., Elective Mathematics for LPP; Elective Statistics for correlation and index numbers). This practice bank stays on official BMS units.

Is this practice bank the same format as the official CHSE paper?

No. Official papers mix objective and long numerical solutions (and Year-2 project/viva). This bank is an English-language multiple-choice study adaptation for concept and calculation revision—not an official blueprint replica.

What does the exam cost?

Examination charges are included in the CHSE Odisha AHSE fee structure notified for the session and collected through the affiliated college/H.S. school. For AHSE 2026, form-fill-up fees are commonly cited around ₹600 per candidate for all sub-heads together—no separate public per-elective marketplace fee.