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100+ Free Tamil Nadu HSE First Year Business Mathematics and Statistics Practice Questions

Tamil Nadu Higher Secondary First Year (HSE +1 / Class 11) Business Mathematics and Statistics under the Directorate of Government Examinations (DGE), Tamil Nadu practice questions are available now; exam metadata is being verified.

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2026 Statistics

Key Facts: Tamil Nadu HSE First Year Business Mathematics and Statistics Exam

10:00–1:15

Official March 2026 HSE theory sitting window including reading/verification time (dge.tn.gov.in timetable)

DGE TN HSE March 2026 public examination timetable

35/100

Minimum pass mark per subject under the HSE new pattern, subject to theory floor rules

DGE HSE_E.pdf scheme of examination

3 hours

Approximate theory writing duration after reading and particulars verification in the public exam schedule

DGE TN HSE March 2026 timetable

DGE TN

Administered by the Directorate of Government Examinations, Chennai, for Tamil Nadu State Board Higher Secondary

dge.tn.gov.in

SCERT syllabus

Class 11 textbooks and syllabus prescribed by SCERT / School Education Department (Samacheer Kalvi)

DGE HSE scheme — syllabus prescribed by SCERT/DSE

English MCQ bank

This practice set is an English-language MCQ study adaptation, not the official mixed written paper

OpenExamPrep practice-content policy

₹150/₹200

School exam fee band for groups without/with practical subjects plus certificate/service charges (concessions apply)

DGE HSE_E.pdf school candidate fee table

Class 11

HSE First Year (+1) Business Mathematics and Statistics covers Samacheer Kalvi matrices, finance math, commercial arithmetic, statistics, and probability intro

Samacheer Kalvi Class 11 Business Mathematics and Statistics textbooks

Free English MCQ practice for Tamil Nadu HSE +1 Business Mathematics and Statistics (DGE). Official paper is mixed written theory on the Samacheer Kalvi Class 11 syllabus — this bank is a study adaptation, not a format simulation.

Sample Tamil Nadu HSE First Year Business Mathematics and Statistics Practice Questions

Try these sample questions to test your Tamil Nadu HSE First Year Business Mathematics and Statistics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1If A = [[2, 1], [3, 4]], then the order of A is:
A.1 × 2
B.2 × 1
C.2 × 2
D.3 × 3
Explanation: Matrix A has 2 rows and 2 columns, so its order is 2 × 2.
2If A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]], then A + B equals:
A.[[6, 8], [10, 12]]
B.[[6, 8], [9, 12]]
C.[[5, 8], [10, 12]]
D.[[6, 9], [10, 12]]
Explanation: Add corresponding elements: 1+5=6, 2+6=8, 3+7=10, 4+8=12, so A + B = [[6, 8], [10, 12]].
3If A = [[2, 3], [1, 4]], then 3A equals:
A.[[5, 6], [4, 7]]
B.[[6, 9], [3, 12]]
C.[[6, 3], [9, 12]]
D.[[2, 9], [3, 12]]
Explanation: Scalar multiplication multiplies every entry by 3: 3×2=6, 3×3=9, 3×1=3, 3×4=12.
4The determinant of A = [[3, 1], [2, 4]] is:
A.10
B.14
C.12
D.8
Explanation: |A| = (3)(4) − (1)(2) = 12 − 2 = 10.
5If |A| = 0 for a square matrix A, then A is:
A.Identity matrix
B.Singular matrix
C.Unitary matrix
D.Orthogonal matrix
Explanation: A square matrix with determinant zero is called singular (non-invertible).
6If A = [[a, b], [c, d]] and |A| ≠ 0, then A⁻¹ equals:
A.(1/|A|) [[d, −b], [−c, a]]
B.(1/|A|) [[a, b], [c, d]]
C.(1/|A|) [[d, b], [c, a]]
D.[[d, −b], [−c, a]]
Explanation: For a 2 × 2 matrix, A⁻¹ = (1/|A|) adj(A) = (1/|A|) [[d, −b], [−c, a]].
7If A = [[2, 1], [0, 3]], then |A| equals:
A.5
B.6
C.0
D.3
Explanation: |A| = (2)(3) − (1)(0) = 6 − 0 = 6.
8If A is a 2 × 2 matrix with |A| = 5, then |3A| equals:
A.15
B.45
C.125
D.5
Explanation: For an n × n matrix, |kA| = kⁿ |A|. Here n = 2, k = 3: |3A| = 3² × 5 = 9 × 5 = 45.
9Solve using Cramer's rule: 2x + y = 5, x − y = 1. The value of x is:
A.1
B.2
C.3
D.4
Explanation: D = |[[2,1],[1,−1]]| = −2 − 1 = −3. Dₓ = |[[5,1],[1,−1]]| = −5 − 1 = −6. x = Dₓ/D = (−6)/(−3) = 2.
10If A = [[1, 2, 3], [0, 1, 4], [0, 0, 1]], then |A| equals:
A.0
B.1
C.2
D.6
Explanation: A is upper triangular, so |A| equals the product of diagonal entries: 1 × 1 × 1 = 1.

About the Tamil Nadu HSE First Year Business Mathematics and Statistics Practice Questions

Verified exam format metadata for Tamil Nadu Higher Secondary First Year (HSE +1 / Class 11) Business Mathematics and Statistics under the Directorate of Government Examinations (DGE), Tamil Nadu is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.