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Sample Bahria Admission Test Practice Questions

Try these sample questions to review concepts for the Bahria Admission Test exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1If the discriminant of a quadratic equation ax^2 + bx + c = 0 (where a ≠ 0 and a, b, c are real numbers) is strictly greater than zero (b^2 - 4ac > 0), what is the nature of its roots?
A.Two real and distinct roots
B.Two equal and real roots
C.Two complex conjugate roots
D.No roots exist
Explanation: When the discriminant Δ = b^2 - 4ac is strictly positive, the quadratic formula yields two distinct real numbers: (-b ± √Δ)/(2a). If Δ = 0, the roots are real and equal (repeated), whereas if Δ < 0, the roots are complex conjugates.
2If the sum of the roots of the quadratic equation 2x^2 + kx - 8 = 0 is 3, what is the value of k?
A.6
B.-6
C.-3
D.3
Explanation: For any quadratic equation ax^2 + bx + c = 0, the sum of roots is given by the relation -b/a. In this equation, a = 2 and b = k, which gives the sum as -k/2 = 3. Multiplying both sides by -2 yields k = -6.
3For what value of λ is the 2x2 matrix A = [[3, 6], [2, λ]] singular?
A.2
B.6
C.4
D.0
Explanation: A square matrix is defined as singular if and only if its determinant is zero. For matrix A, det(A) = (3)(λ) - (6)(2) = 3λ - 12. Setting 3λ - 12 = 0 and solving gives 3λ = 12, so λ = 4.
4Given the matrix M = [[2, 1], [5, 3]], what is the inverse matrix M^(-1)?
A.[[3, 1], [5, 2]]
B.[[-2, -1], [-5, -3]]
C.[[2, -1], [-5, 3]]
D.[[3, -1], [-5, 2]]
Explanation: The inverse of a 2x2 matrix [[a, b], [c, d]] is (1 / det) * [[d, -b], [-c, a]]. The determinant of M is (2)(3) - (1)(5) = 6 - 5 = 1. Exchanging the main diagonal elements and negating the off-diagonal elements produces [[3, -1], [-5, 2]].
5The first term of an arithmetic progression (AP) is 4 and the common difference is 5. What is the 15th term of this progression?
A.74
B.79
C.69
D.70
Explanation: The nth term of an arithmetic progression is given by the standard formula a_n = a_1 + (n - 1)d. Substituting the given values a_1 = 4, d = 5, and n = 15 gives a_15 = 4 + (15 - 1)(5) = 4 + (14)(5) = 4 + 70 = 74.
6What is the sum to infinity of the geometric series 12 + 4 + 4/3 + 4/9 + ...?
A.16
B.18
C.24
D.36
Explanation: For an infinite geometric progression with first term a and common ratio |r| < 1, the sum to infinity is S = a / (1 - r). Here the first term a = 12 and the common ratio r = 4/12 = 1/3. Evaluating S gives 12 / (1 - 1/3) = 12 / (2/3) = 12 * (3/2) = 18.
7If two positive geometric means G1 and G2 are inserted between 3 and 192, what is the value of G2?
A.12
B.24
C.48
D.96
Explanation: The terms 3, G1, G2, 192 form a 4-term geometric sequence with first term a = 3 and fourth term a_4 = a * r^3 = 192. Solving for the ratio gives r^3 = 192 / 3 = 64, so r = 4. The second geometric mean G2 is the third term of the sequence: a * r^2 = 3 * 4^2 = 3 * 16 = 48.
8Which of the following is the simplified form of (sin θ) / (1 + cos θ) + (1 + cos θ) / (sin θ) for all non-zero θ where the expression is defined?
A.2 csc θ
B.2 sec θ
C.2 sin θ
D.2 cot θ
Explanation: Combining the fractions over a common denominator yields [sin^2 θ + (1 + cos θ)^2] / [sin θ(1 + cos θ)]. Expanding the numerator gives sin^2 θ + 1 + 2 cos θ + cos^2 θ = (sin^2 θ + cos^2 θ) + 1 + 2 cos θ = 1 + 1 + 2 cos θ = 2(1 + cos θ). Canceling (1 + cos θ) leaves 2 / sin θ, which is 2 csc θ.
9What is the fundamental period of the trigonometric function f(x) = tan(3x)?
A.2π/3
B.π
C.3π
D.π/3
Explanation: The fundamental period of the basic tangent function tan(x) is π radians. When the argument of tangent is scaled by a factor k to tan(kx), its period becomes π / |k|. For f(x) = tan(3x), k = 3, so the period is π/3.
10What is the complete set of solutions for 2 sin^2(x) - sin(x) - 1 = 0 in the interval [0, 2π)?
A.{π/2, 7π/6, 11π/6}
B.{π/2, π/6, 5π/6}
C.{3π/2, 7π/6, 11π/6}
D.{π/2, 4π/3, 5π/3}
Explanation: Treating the equation as a quadratic in u = sin(x): 2u^2 - u - 1 = (2u + 1)(u - 1) = 0. This gives sin(x) = 1 or sin(x) = -1/2. On [0, 2π), sin(x) = 1 occurs at x = π/2, while sin(x) = -1/2 has reference angle π/6 in quadrants III and IV, yielding x = 7π/6 and x = 11π/6.

About the Bahria Admission Test Exam

Independent English-language practice by OpenExamPrep for Bahria engineering/computing admission-test topics. The published general policy requires 60% HSSC/equivalent for engineering and at least 50% for other undergraduate programs, subject to current program prerequisites. Selection also involves merit and interview. The reviewed sources did not explicitly establish all permitted CBT delivery languages; this bank makes no claim about an official English sitting or translation.

Exam sponsor: Bahria University. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Four-option computer-based MCQs, 100 marks, no negative marking. Shortlisted applicants also attend an admission interview, which this bank does not simulate.

Time Limit

120 minutes

Passing Score

33% undergraduate CBT threshold in the published admission policy; passing alone does not secure admission.

Exam / Certification Fees

Consult the current official application voucher; a 2026 processing-fee amount was not independently confirmed.

Exam sponsor website

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

Official sources

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.

30% engineering/computing

Verbal Ability

Vocabulary, grammar and reading.

15% engineering/computing

Quantitative Reasoning

Arithmetic, proportions, rates and probability.

15% engineering/computing

Analytical Reasoning

Deduction, patterns and relationships.

10% engineering/computing

Physics

Selected mechanics, electricity and thermal concepts.

30% engineering/computing

Mathematics

Algebra, trigonometry, calculus, vectors and geometry.

Preparing for the Bahria Admission Test Exam

What You Need to Know

  • Passing score: 33% undergraduate CBT threshold in the published admission policy; passing alone does not secure admission.
  • Assessment: Four-option computer-based MCQs, 100 marks, no negative marking. Shortlisted applicants also attend an admission interview, which this bank does not simulate.
  • Time limit: 120 minutes
  • Exam / certification fees: Consult the current official application voucher; a 2026 processing-fee amount was not independently confirmed. Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

Bahria Admission Test: Suggested Study Strategy

1Check your program's subject allocation.
2Practise worked calculations and reading before adding time pressure.
3Prepare separately for the interview and document verification.

Frequently Asked Questions

Does every program use this subject mix?

No. Several business and humanities programs include general knowledge, and other programs have their own allocations. Check the official sections page.

Does passing guarantee admission?

No. Academic eligibility, competitive merit and the interview also matter. Check the current campus notice.