BCS 012 key facts: June 2026
- Course code: BCS-012
- Subject: Basic Mathematics
- Programme: IGNOU Bachelor of Computer Applications: BCA (Revised), BCA_NEW and BCA_NEWOL, Semester I
- Credits: 4
- Blocks and units: 4 blocks, 16 units
- Maximum marks: 100
- Duration: 3 hours
- Questions in the June 2026 paper: 5 questions with 24 parts of 5 marks each (Q1 compulsory, any three of Q2 to Q5)
- Samples shown on this page: 2 (Q1(a) and Q1(g)); all 24 parts in the paid file
BCS 012 Solved Question Paper June 2026 is our complete worked answer file for BCS 012 Basic Mathematics, the 4-credit Semester I maths course in IGNOU's Bachelor of Computer Applications. It takes the official June 2026 term-end paper and solves all 24 of its parts, from the Vandermonde determinant in Q1(a) to the minimisation problem in Q5(d).
1. What the June 2026 Solved Paper Covers
The June 2026 paper leans on algebra. Thirteen of the 24 parts come from Blocks 1 and 2 (determinants, matrices, induction, progressions, complex numbers, equations and inequalities), six come from calculus and five from vectors, 3D geometry and linear programming. That balance matters, because Question 1 alone carries 40 marks and cannot be skipped.
Every answer uses the notation of the official IGNOU self-learning material, which you can read block by block on the eGyanKosh BCS-012 Mathematics course page. Where the material names a method, such as the first derivative test or Cramer's rule, our answer uses that same name so an examiner recognises it at once.
2. Two Answers Worked in Full, Twenty-Two Held Back
Two parts of the June 2026 paper are shown here in full: Q1(a) and Q1(g). Both are 5-mark parts of the compulsory Question 1, and both have appeared in almost the same form in earlier papers. They show exactly how every answer in the full file is laid out.
Vandermonde determinant identity
Question 1 (a): Show that the determinant of the matrix with rows (1, a, a2), (1, b, b2) and (1, c, c2) equals (a − b)(b − c)(c − a). (5)
Let Δ be the determinant on the left-hand side.
Step 1: row operations
Apply R2 → R2 − R1 and R3 → R3 − R1. Subtracting one row from another does not change the value of a determinant. The rows become (1, a, a2), (0, b − a, b2 − a2) and (0, c − a, c2 − a2).
Step 2: take common factors
Write b2 − a2 = (b − a)(b + a) and c2 − a2 = (c − a)(c + a). Take (b − a) common from R2 and (c − a) common from R3:
Δ = (b − a)(c − a) × determinant of rows (1, a, a2), (0, 1, b + a) and (0, 1, c + a).
Step 3: expand along the first column
Only the leading 1 contributes, because the other two entries of C1 are zero:
Δ = (b − a)(c − a) [ 1 × (c + a) − 1 × (b + a) ] = (b − a)(c − a)(c − b)
Step 4: match the required form
Since b − a = −(a − b) and c − b = −(b − c), the two minus signs cancel each other:
Δ = (a − b)(b − c)(c − a). Hence proved.
Examiner note. This is the Vandermonde determinant. IGNOU set the same determinant as Q1(e) in June 2022 and, with x, y, z in place of a, b, c, as Q2(a) in December 2022. Writing each row operation beside its step is what earns the method marks.
Cubic equation with roots in geometric progression
Question 1 (g): Find the roots of the equation 8x3 − 14x2 + 7x − 1 = 0, given that the roots are in Geometric Progression. (5)
Let the three roots in G.P. be α/r, α and αr, where r is the common ratio. For a cubic ax3 + bx2 + cx + d = 0 we use three relations: sum of roots = −b/a, sum of products taken two at a time = c/a, and product of roots = −d/a. Here a = 8, b = −14, c = 7 and d = −1.
Step 1: product of roots
(α/r)(α)(αr) = α3 = −d/a = 1/8, so α = 1/2.
Step 2: check the middle root
Put x = 1/2: 8(1/8) − 14(1/4) + 7(1/2) − 1 = 1 − 3.5 + 3.5 − 1 = 0. So 1/2 is indeed a root.
Step 3: sum of roots
α(1/r + 1 + r) = −b/a = 14/8 = 7/4. With α = 1/2 this gives 1/r + 1 + r = 7/2. Multiplying by 2r: 2 + 2r + 2r2 = 7r, so 2r2 − 5r + 2 = 0, which factorises as (2r − 1)(r − 2) = 0. Hence r = 2 or r = 1/2.
Step 4: the roots
With α = 1/2 and r = 2 the roots are 1/4, 1/2 and 1. Taking r = 1/2 gives the same three roots in reverse order, so the answer does not change.
Step 5: verification
The sum of products two at a time must equal c/a = 7/8. Check: (1/4)(1/2) + (1/2)(1) + (1)(1/4) = 1/8 + 4/8 + 2/8 = 7/8. The third relation holds, so the roots are correct.
Answer: the roots of 8x3 − 14x2 + 7x − 1 = 0 are x = 1/4, 1/2 and 1.
Examiner note. The same equation was Q3(c) in the December 2023 BCS 012 paper. Stating the three root and coefficient relations before using them, and verifying with the unused relation at the end, is what turns a correct answer into a full-mark answer.
3. Questions Answered Only in the Full File
The 22 parts below are printed exactly as they appear in the June 2026 paper, with the paper's own numbering. Matrices are written row by row, with rows separated by semicolons. Their worked answers are in the full file only.
Question 1 (b): If A = (2, 3 ; 4, 6), show that A2 = 8A. (5)
Question 1 (c): Use the principle of mathematical induction to show that 2 + 4 + 6 + ... + 2n = n(n + 1) for all n ∈ N. (5)
Question 1 (d): If the pth term of an Arithmetic Progression is q and the qth term of the A.P. is p, show that the rth term of the A.P. is p + q − r. (5)
Question 1 (e): If a + ib = (cos θ + i sin θ)2, show that a2 + b2 = 1. (5)
Question 1 (f): Find the sum to n terms of the series 12 + 32 + 52 + ... (5)
Question 1 (h): Show that the integral from 0 to 5 of √(5 − x) ÷ (√x + √(5 − x)) dx = 5/2. (5)
Question 2 (a): Find the angle between the vectors a = −i + 2j + 3k and b = i + 4j + k. (5)
Question 2 (b): Use the first derivative test to find the local maxima and the local minima of f(x) = x3 − 27x + 5. (5)
Question 2 (c): Find the nth term of the Harmonic Progression 1/7, 2/15, 1/8, 2/17, ... (5)
Question 2 (d): Find the area bounded by y = x2 and y = x. (5)
Question 3 (a): Use Cramer's rule to solve the system of equations 3x + y + z = 6; x + y = 3; 2y + z = 1. (5)
Question 3 (b): Solve the inequality 3/(7 − x) < 2, where x is a real number. (5)
Question 3 (c): Evaluate the integral of (2x + 2−x)2 dx. (5)
Question 3 (d): If a = 2i − j + 5k and b = 3i + j + λk, find λ so that a and b are at right angles. (5)
Question 4 (a): Find the intervals in which the function f(x) = (1/3)x3 − 3x2 + 5x + 11 is (i) increasing and (ii) decreasing. (5)
Question 4 (b): Find the inverse of the matrix A = (2, −1, 5 ; 3, 0, 2 ; 0, 1, 1). (5)
Question 4 (c): Find the quadratic equation with real coefficients if one of its roots is −3 + 4i. (5)
Question 4 (d): Show that f(x) = x2 ln(1/x), for x > 0, has a local maximum at x = 1/√e. (5)
Question 5 (a): If a = i + j, b = j + k and c = i + k, find (a × b) × c. (5)
Question 5 (b): Find the shortest distance between the lines r = i + 2j + k + λ(i − j + k) and r = 2i + j − k + μ(2i + j + 2k). (5)
Question 5 (c): Use the principle of mathematical induction to show that 1 + 1/3 + 1/32 + ... + 1/3n < 3/2 for all n ∈ N. (5)
Question 5 (d): Minimise Z = 4x + 3y subject to 2x + y ≥ 40, x + 2y ≥ 50, x + y ≥ 35, x ≥ 0, y ≥ 0. (5)
4. Question Paper Pattern and Marks Split
The BCS 012 Question Paper for June 2026 has five questions split into 24 parts of 5 marks each; Question 1 is compulsory and you answer any three of the other four. Question 1 carries 40 marks and each optional question carries 20, so a complete attempt totals 100 marks in 3 hours.
| Question | Status | Parts and marks | Topics tested |
|---|---|---|---|
| Q1 | Compulsory | 8 parts × 5 = 40 | Vandermonde determinant, A2 = 8A, induction on even numbers, A.P. rth term, (cos θ + i sin θ)2, odd-square series, cubic in G.P., definite integral |
| Q2 | Choose | 4 parts × 5 = 20 | Angle between vectors, first derivative test for x3 − 27x + 5, H.P. nth term, area between y = x2 and y = x |
| Q3 | Choose | 4 parts × 5 = 20 | Cramer's rule, inequality 3/(7 − x) < 2, integral of (2x + 2−x)2, λ for perpendicular vectors |
| Q4 | Choose | 4 parts × 5 = 20 | Increasing and decreasing intervals, 3×3 inverse, quadratic from −3 + 4i, maximum of x2 ln(1/x) |
| Q5 | Choose | 4 parts × 5 = 20 | (a × b) × c, shortest distance between lines, induction inequality below 3/2, LPP minimisation |
The paper has kept this five-question layout in every session we checked from June 2022 onwards. One shift is worth knowing: in December 2024 and June 2025 a 10-mark linear programming word problem sat inside Question 1, while in June 2026 linear programming moved to Q5(d) as a 5-mark part with no story attached.
Because only three of Questions 2 to 5 count, choose by block strength. A student comfortable with vectors might take Q2, Q3 and Q5, while an algebra-first student may prefer Q3, Q4 and Q5. To compare this layout with the other Semester I papers, see our BCA Question Paper collection.
The term-end paper is only part of the result. IGNOU's 2025-26 assignment booklet gives the BCS 012 assignment a 30 per cent weightage, marked out of 100 with 20 of those marks reserved for a viva-voce.
5. Blocks, Units and June 2026 Coverage
BCS 012 Basic Mathematics is taught in 4 blocks and 16 units: Algebra-I, Algebra-II, Calculus, and Vectors and Three-Dimensional Geometry. The table shows the key topics of each unit and which June 2026 parts came from it, so you can see where the paper concentrated.
| Block | Unit | Key topics | June 2026 parts |
|---|---|---|---|
| Block 1: Algebra-I | Unit 1: Determinants | Order 2 and 3 determinants, properties used to simplify them, Cramer's rule and area of a triangle | Q1(a) (Sample 1), Q3(a) |
| Block 1: Algebra-I | Unit 2: Matrices-I | Matrix addition and multiplication, adjoint and inverse, solving linear systems by the matrix method | Q1(b), Q4(b) |
| Block 1: Algebra-I | Unit 3: Matrices-II | Elementary row operations, row equivalence, normal form and rank of a matrix | Not set this session; normal form and rank came in December 2023 and June 2024 |
| Block 1: Algebra-I | Unit 4: Mathematical Induction | First and second principles of induction, summation proofs, divisibility and inequality proofs | Q1(c), Q5(c) |
| Block 2: Algebra-II | Unit 1: Sequence and Series | A.P., G.P. and H.P. terms and sums, sums of squares and special series | Q1(d), Q1(f), Q2(c) |
| Block 2: Algebra-II | Unit 2: Complex Number | Algebra of complex numbers, modulus, De Moivre's theorem and cube roots of unity | Q1(e) |
| Block 2: Algebra-II | Unit 3: Equations | Quadratic equations from given roots, cubic equations with roots in A.P. or G.P., relations between roots and coefficients | Q1(g) (Sample 2), Q4(c) |
| Block 2: Algebra-II | Unit 4: Inequalities | Linear, rational and modulus inequalities, and graphing the solution set on a number line | Q3(b) |
| Block 3: Calculus | Unit 1: Differential Calculus | Limits, continuity, derivatives of product, quotient and composite functions, second order derivatives | Not set this session; limits came in December 2024 and June 2025 |
| Block 3: Calculus | Unit 2: Simple Application of Differential Calculus | Rate of change, increasing and decreasing functions, local maxima and minima | Q2(b), Q4(a), Q4(d) |
| Block 3: Calculus | Unit 3: Integration | Integration as an anti-derivative, integration by substitution and by parts | Q3(c) |
| Block 3: Calculus | Unit 4: Application of Integral Calculus | Definite integrals and their properties, area under and between curves, length of a curve | Q1(h), Q2(d) |
| Block 4: Vectors and Three-Dimensional Geometry | Unit 1: Vectors-I | Magnitude and direction, direction cosines, vector addition, position vector and section formula | Not set this session; direction cosines came in December 2023 and December 2025 |
| Block 4: Vectors and Three-Dimensional Geometry | Unit 2: Vectors-II | Scalar (dot) product, vector (cross) product, scalar and vector triple products | Q2(a), Q3(d), Q5(a) |
| Block 4: Vectors and Three-Dimensional Geometry | Unit 3: Three-Dimensional Geometry-I | Distance formula, equations of a line in 3D, angle between lines, skew lines and shortest distance | Q5(b) |
| Block 4: Vectors and Three-Dimensional Geometry | Unit 4: Linear Programming | Formulating an LPP, graphical method, feasible region and corner-point evaluation | Q5(d) |
Three units were not tested in June 2026: Matrices-II, Differential Calculus and Vectors-I. They are not safe to skip, because each has been set in at least two of the last seven papers. Unit 2 of Block 3 is the heaviest this session, supplying three parts across Questions 2 and 4.
If you want unit-wise notes that follow this exact block order, our BCS 012 Study Material covers each unit with solved examples in the same notation.
6. Topics That Keep Returning
Seven BCS 012 topic areas appeared in all seven official papers we analysed, and every one of them returns in June 2026. The count below is out of seven papers: June 2022, December 2022, December 2023, June 2024, December 2024, June 2025 and December 2025, all taken from ignou.ac.in and webservices.ignou.ac.in.
The June 2023 paper is on the IGNOU archive only as a scanned image with no readable text, so we left it out rather than guess its contents. This analysis therefore does not cover a full five years, and papers before June 2022 were not counted.
| Topic | Papers (of 7) | Past example worth practising | In June 2026 |
|---|---|---|---|
| Mathematical induction proofs | 7 | Dec 2023 Q1(c): 7 divides 23n − 1 | Q1(c), Q5(c) |
| Determinant identities (show that) | 7 | Jun 2022 Q1(e) and Dec 2022 Q2(a): the same Vandermonde form | Q1(a) (Sample 1) |
| Complex numbers, cube roots of unity, De Moivre | 7 | Dec 2025 Q2(b): xyz = a3 + b3 using ω and ω2 | Q1(e) |
| Quadratic equations from given roots | 7 | Dec 2025 Q5(b): quadratic with root −2 + 3i | Q4(c) |
| Inequalities and solution sets | 7 | Dec 2023 Q3(b): inequality solved and graphed on a number line | Q3(b) |
| Vector algebra and vector products | 7 | Dec 2024 Q4(d): prove |a + b| ≤ |a| + |b| | Q2(a), Q3(d), Q5(a) |
| Matrix inverse, adjoint or rank | 7 | Jun 2025 Q2(a): inverse by elementary row operations | Q4(b) |
| Maxima, minima and monotonicity | 6 | Dec 2023 Q3(d): x2 ln(1/x) maximum at 1/√e, repeated in June 2026 | Q2(b), Q4(a), Q4(d) |
| Linear programming | 6 | Dec 2024 Q1(g): 10-mark tailors cost problem | Q5(d) |
| Evaluating an integral | 6 | Jun 2025 Q4(b): definite integral from 0 to 1 | Q1(h), Q3(c) |
| G.P. and special series sums | 6 | Jun 2025 Q1(e): sum of 9 + 99 + 999 + ... | Q1(f) |
| Matrix powers such as A2 = kA | 5 | Dec 2025 Q1(b): show that A2 = 5A | Q1(b) |
| A.P. term and sum problems | 5 | Jun 2024 Q1(d): 7 times the 7th term equals 11 times the 11th | Q1(d) |
| Area between curves | 5 | Dec 2023 Q5(a): area between y = 3 + 2x and y = 3 − x | Q2(d) |
| Cramer's rule | 3 | Jun 2022 Q1(a) and Dec 2022 Q3(a): identical system x + y = 0 | Q3(a) |
| Cubic with roots in A.P., G.P. or a given relation | 3 | Dec 2023 Q3(c): the same cubic 8x3 − 14x2 + 7x − 1 = 0 | Q1(g) (Sample 2) |
| Shortest distance between skew lines | 3 | Jun 2025 Q5(a): lines in symmetric form | Q5(b) |
| H.P. nth term | 2 | Jun 2022 Q3(c): 100th term of 1/7, 1/15, 1/23, ... | Q2(c) |
Two June 2026 parts are near copies of older questions: the cubic in Q1(g) matches December 2023 Q3(c), and the x2 ln(1/x) maximum in Q4(d) matches December 2023 Q3(d). The Cramer's rule system was even repeated word for word between June 2022 and December 2022.
For a shortlist of likely questions for the next session across IGNOU courses, see our IGNOU Solved Guess Paper page.
7. How Our Answers Are Worked and Checked
Every BCS 012 answer in our file is checked by substituting the result back into the question wherever the maths allows. IGNOU examiners give BCS 012 marks for method, not only for the final number.
So each answer states the formula or theorem first, shows every row operation, substitution or limit, and then gives a clearly marked final result. Induction answers end with an explicit conclusion line covering all natural numbers, because that line is often where students lose a mark.
The checks are specific to the question type. Roots are substituted back into the equation, inverses are multiplied with the original matrix to confirm the identity matrix, indefinite integrals are differentiated, and every corner point of the linear programming region is tested against all five constraints.
We also compare each part with older papers from our IGNOU Previous Year Question Paper collection, and where a June 2026 part repeats an older one the answer says so.
8. Solved File Index for All 24 Parts
The full file answers all 24 parts of the June 2026 BCS 012 paper; this page shows 2 of them and the other 22 are in the full file only. BCS 012 is a theory course with no practical or lab component, so this solved file index replaces a practical file index and maps every part to its unit.
| Part | What is asked | Block and unit | Where to find the answer |
|---|---|---|---|
| Q1(a) | Vandermonde determinant identity | Block 1, Unit 1 Determinants | Sample 1 above |
| Q1(b) | Square of a 2×2 matrix as a multiple of A | Block 1, Unit 2 Matrices-I | Full file |
| Q1(c) | Induction proof for the sum of even numbers | Block 1, Unit 4 Mathematical Induction | Full file |
| Q1(d) | General term of an A.P. from two swapped terms | Block 2, Unit 1 Sequence and Series | Full file |
| Q1(e) | Modulus of a squared unit complex number | Block 2, Unit 2 Complex Number | Full file |
| Q1(f) | Sum of squares of the first n odd numbers | Block 2, Unit 1 Sequence and Series | Full file |
| Q1(g) | Cubic equation with roots in G.P. | Block 2, Unit 3 Equations | Sample 2 above |
| Q1(h) | Definite integral using the a + b − x property | Block 3, Unit 4 Application of Integral Calculus | Full file |
| Q2(a) | Angle between two vectors by dot product | Block 4, Unit 2 Vectors-II | Full file |
| Q2(b) | Local extrema of a cubic by first derivative test | Block 3, Unit 2 Simple Application of Differential Calculus | Full file |
| Q2(c) | nth term of an H.P. through its reciprocal A.P. | Block 2, Unit 1 Sequence and Series | Full file |
| Q2(d) | Area enclosed between a parabola and a line | Block 3, Unit 4 Application of Integral Calculus | Full file |
| Q3(a) | Three-variable system by Cramer's rule | Block 1, Unit 1 Determinants | Full file |
| Q3(b) | Rational inequality with a sign change at x = 7 | Block 2, Unit 4 Inequalities | Full file |
| Q3(c) | Indefinite integral of an exponential square | Block 3, Unit 3 Integration | Full file |
| Q3(d) | Unknown component for perpendicular vectors | Block 4, Unit 2 Vectors-II | Full file |
| Q4(a) | Increasing and decreasing intervals of a cubic | Block 3, Unit 2 Simple Application of Differential Calculus | Full file |
| Q4(b) | Inverse of a 3×3 matrix by adjoint | Block 1, Unit 2 Matrices-I | Full file |
| Q4(c) | Quadratic from a complex root and its conjugate | Block 2, Unit 3 Equations | Full file |
| Q4(d) | Local maximum of a log function by second derivative | Block 3, Unit 2 Simple Application of Differential Calculus | Full file |
| Q5(a) | Vector triple product of three unit-sum vectors | Block 4, Unit 2 Vectors-II | Full file |
| Q5(b) | Shortest distance between two skew lines | Block 4, Unit 3 Three-Dimensional Geometry-I | Full file |
| Q5(c) | Induction proof of a G.P. inequality | Block 1, Unit 4 Mathematical Induction | Full file |
| Q5(d) | Graphical LPP minimisation with three constraints | Block 4, Unit 4 Linear Programming | Full file |
9. Programmes That Include BCS 012
BCS 012 Basic Mathematics is a Semester I course in IGNOU's BCA family: BCA (Revised), BCA_NEW and the online BCA_NEWOL. In the BCA_NEW and BCA_NEWOL structures it sits beside BEVAE-181, BEGLA-136, BCS-111 and BCSL-013, which together make up the 20 Semester I credits.
The same BCS-012 paper is written by students of the older BCA (Revised) scheme, which is why the question paper header still reads "Bachelor of Computer Applications (BCA) (Revised)". Details of all three versions are on our IGNOU Bachelor of Computer Applications page.
IGNOU's BCA_NEW programme guide also lists BCS-012 among courses offered as a SWAYAM MOOC, with credit transfer allowed under the university's credit transfer policy. If you are an MCA student who has been asked to clear BCS-012 as a bridge course, check your own prospectus, because the requirement depends on your mathematics background at 10+2 or graduation level.
10. How to Get the Full Solved Question Paper
The full BCS 012 Solved Question Paper for June 2026 is sent as a PDF when you message WhatsApp 9899436384. It contains worked answers to all 24 parts: the 2 samples above plus the 22 parts listed without answers.
- Message 9899436384 on WhatsApp with the course code BCS 012 and the session June 2026.
- Our team confirms the price and payment options on the same chat.
- Once payment is done, the PDF is sent to you directly on WhatsApp.
Inside you get the full Cramer's rule working for Q3(a), the complete adjoint table for the inverse in Q4(b), the graph and corner-point table for Q5(d), and both induction proofs written out to the final conclusion line.
11. BCS 012 Basic Mathematics FAQs
These answers cover the questions BCS 012 students ask us most often about the June 2026 paper and the full solved file.
How do I get the full solved file on WhatsApp?
Send a WhatsApp message to 9899436384 saying you need the BCS 012 June 2026 solved paper. Our team replies with the price and payment options, and once payment is confirmed the PDF arrives on the same chat. The file contains worked answers to all 24 parts of the June 2026 paper, which means the 22 parts listed without answers on this page plus the two samples shown here.
Which questions are fully solved on this page?
Two parts are solved here in full: Q1(a), the Vandermonde determinant equal to (a − b)(b − c)(c − a), and Q1(g), the cubic 8x3 − 14x2 + 7x − 1 = 0 with roots in geometric progression. We picked them because both have appeared in earlier BCS 012 papers, so they show our method on questions that genuinely repeat. The remaining 22 parts are listed as question text only.
How many questions must I attempt in the exam?
You attempt four questions in total. Question 1 is compulsory and carries 40 marks across eight 5-mark parts in the June 2026 paper. You then choose any three of Questions 2 to 5, each worth 20 marks with four 5-mark parts. That gives 100 marks in 3 hours, so plan roughly 40 minutes for each optional question and about 55 minutes for Question 1.
Which BCS 012 topics repeat most often?
Across the seven official papers we checked, from June 2022 to December 2025, seven topic areas appeared in every paper: determinant identities, matrix inverse or rank, mathematical induction, complex numbers, quadratic equations, inequalities and vector products. Linear programming, maxima and minima, integration and G.P. series each appeared in six of the seven. Every one of these areas returns in the June 2026 paper as well.
Is BCS 012 difficult for students without maths in Class 12?
It is manageable, but it needs regular practice. Most BCS 012 questions sit close to senior secondary level: determinants, progressions, derivatives and vectors. Students who dropped maths after Class 10 usually find calculus and 3D geometry hardest at first. Worked answers help because they show every intermediate line, so you can see exactly where a sign changes or a formula is applied, not just the final result.
What weightage does the BCS 012 assignment carry?
IGNOU's 2025-26 assignment booklet for BCA_NEW Semester I gives the BCS 012 assignment a weightage of 30 per cent, with the term-end examination making up the remaining 70 per cent. The assignment itself is marked out of 100: 80 marks for five written questions and 20 marks for a viva-voce. Strong assignment marks therefore ease the pressure on your June or December term-end paper.
Does BCS 012 have a practical or lab file?
No. BCS 012 is a 4-credit theory course assessed through an assignment and a written term-end paper. The Semester I lab in the BCA_NEW structure is a separate course, BCSL-013 Computer Basics and PC Software Lab. That is why this page carries a solved file index, mapping every June 2026 part to its block and unit, instead of a practical file index.
Will the June 2026 solutions help for the December 2026 exam?
Yes, as practice, although nobody can promise which questions IGNOU will set. BCS 012 papers reuse question types heavily; the cubic in Q1(g) had already been set with the same equation in December 2023. Working through the full June 2026 paper gives you tested methods for determinants, induction, calculus, vectors and linear programming, which covers most of what a new paper is likely to ask.
12. Who Wrote and Checked the BCS 012 Answers
The BCS 012 answers were written by Prateek Talwar and reviewed by Sheetal Kirola at Unnati Educations.
Prateek Talwar prepares IGNOU mathematics and computer-science solved papers from the course blocks and the official term-end paper. Sheetal Kirola, Academic Head (M.Ed.), re-works every step and substitutes each result back into the question before the file is released.