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CENEVAL EXIL-NEGOCIOS — Examen Intermedio de Licenciatura en Negocios

Practice Questions120 questions

Exam Review

Key Facts: EXIL-CBI Exam

180

Items in the 2026 EXIL-CBI, including 20% unscored pilot items

Ceneval, Guía para el sustentante EXIL-CBI (2026)

8 hours

Total testing time in two 4-hour sessions on the same day

Ceneval, Guía para el sustentante EXIL-CBI (2026)

40 / 40 / 40

Disciplinary items in mathematics, physics, and chemistry

Ceneval, Guía para el sustentante EXIL-CBI (2026)

Spanish language and communication items (30 reading, 30 indirect writing)

Ceneval, EXIL-CBI official page

MXN 500

2026 unit price for the printed or on-site online exam (MXN 350 for Examen desde casa)

Ceneval, EXIL-CBI official page

Ceneval's EXIL-CBI (2026) is a 180-item Spanish-language diagnostic taken in two 4-hour sessions: 40 items each in mathematics, physics, and chemistry plus 60 Spanish reading and writing items, reported as performance levels with no pass/fail score.

Sample EXIL-CBI Practice Questions

Try these sample questions to review concepts for the EXIL-CBI exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 121+ question experience with AI tutoring.

1What is the determinant of the 2x2 matrix A = [[3, 5], [2, 4]]?

A.2

B.7

C.22

D.-2

Explanation: The determinant of a 2x2 matrix [[a, b], [c, d]] is calculated as ad - bc. For matrix A, det(A) = (3)(4) - (5)(2) = 12 - 10 = 2.

2What is the inverse of the matrix C = [[1, 2], [3, 4]]?

A.[[-4, 2], [3, -1]]

B.[[-2, -1], [-1.5, 0.5]]

C.[[-2, 1], [1.5, -0.5]]

D.[[-0.5, 1], [1.5, -2]]

Explanation: The determinant of C is (1)(4) - (2)(3) = 4 - 6 = -2. The inverse is (1/det) * [[d, -b], [-c, a]] = (-1/2) * [[4, -2], [-3, 1]] = [[-2, 1], [1.5, -0.5]].

3Which ordered pair (x, y) solves the system of linear equations: 2x - y = 5 3x + 2y = 11?

A.x = 2 and y = -1

B.x = 4 and y = 3

C.x = 1 and y = -3

D.x = 3 and y = 1

Explanation: Multiplying the first equation by 2 gives 4x - 2y = 10. Adding this to the second equation (3x + 2y = 11) eliminates y: 7x = 21, so x = 3. Substituting x = 3 into the first equation gives 2(3) - y = 5, which solves to y = 1.

4What is the dot product of vectors u = [3, -2, 4] and v = [2, 5, -1]?

A.-8

B.0

C.12

D.20

Explanation: The dot product is the sum of component products: u · v = (3)(2) + (-2)(5) + (4)(-1) = 6 - 10 - 4 = -8.

5What is the cross product of the unit basis vectors i = [1, 0, 0] and j = [0, 1, 0]?

A.[0, 0, 0]

B.[0, 0, 1]

C.[1, 1, 0]

D.[0, 0, -1]

Explanation: In a right-handed Cartesian coordinate system, the cross product of unit vectors i and j is i × j = k = [0, 0, 1].

6Evaluate the limit: lim (x -> 0) [sin(5x) / (2x)].

A.0

B.1

C.5/2

D.undefined

Explanation: Using the standard trigonometric limit lim (u -> 0) [sin(u)/u] = 1, rewrite the expression as (5/2) * [sin(5x)/(5x)]. As x -> 0, this evaluates to (5/2)(1) = 5/2. Alternatively, L'Hôpital's rule yields lim [5 cos(5x) / 2] = 5/2.

7What is the limit at infinity: lim (x -> ∞) [(3x² - 5x + 2) / (7x² + 4)]?

A.0

B.∞

C.1

D.3/7

Explanation: Because both numerator and denominator are polynomials of the same degree (degree 2), the limit as x -> ∞ is given by the ratio of their leading coefficients: 3 / 7.

8What is the first derivative of f(x) = x³ e^(2x)?

A.x² e^(2x) (3 + 2x)

B.6x² e^(2x)

C.3x² e^(2x)

D.2x³ e^(2x)

Explanation: Apply the product rule: d/dx [u · v] = u'v + uv'. Here u = x³ (so u' = 3x²) and v = e^(2x) (so v' = 2e^(2x)). Thus f'(x) = 3x² e^(2x) + x³ (2e^(2x)) = x² e^(2x) (3 + 2x).

9What is the derivative of g(x) = ln(x² + 4)?

A.1 / (x² + 4)

B.2x / (x² + 4)

C.2 / (x² + 4)

D.x / (x² + 4)

Explanation: Using the chain rule for natural logarithms, d/dx [ln(u)] = u'/u. With u = x² + 4, u' = 2x, so g'(x) = 2x / (x² + 4).

10Find the critical points of the function f(x) = 2x³ - 9x² + 12x - 5.

A.x = -1 and x = -2

B.x = 0 and x = 3

C.x = 1 and x = 2

D.x = 1.5 only

Explanation: Critical points occur where f'(x) = 0. f'(x) = 6x² - 18x + 12 = 6(x² - 3x + 2) = 6(x - 1)(x - 2). Setting this to zero yields x = 1 and x = 2.

About the EXIL-CBI Exam

Independent EXIL-CBI practice by OpenExamPrep. The Examen Intermedio de Licenciatura en Ciencias Básicas de Ingenierías is Ceneval's diagnostic for engineering students midway through their degree. The 2026 version has 180 Spanish-language items with three answer options: 120 on mathematics, physics, and chemistry and 60 on Spanish reading comprehension and indirect writing. This bank is an English-language MCQ study adaptation, not an official translation or simulation: stems and explanations are in English with four options, and the language items keep their Spanish texts because Spanish is the skill tested.

Exam sponsor: Centro Nacional de Evaluación para la Educación Superior, A.C. (Ceneval). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Two sections: a disciplinary section of 120 items (Matemáticas 40, Física 40, Química 40) and a transversal Spanish Lenguaje y Comunicación section of 60 items (Comprensión lectora 30, Redacción indirecta 30). Both sessions and both sections must be completed for results to be issued.

Time Limit

8 hours (two 4-hour sessions on the same day)

Passing Score

No pass/fail cut score; a performance level (Aún no satisfactorio, Satisfactorio, or Sobresaliente) is reported for each science and area, with no global or section result

Exam / Certification Fees

MXN 500 (printed or on-site online) or MXN 350 (Examen desde casa), 2026 prices, paid through the registering institution

Exam sponsor website

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

Official sources

Ceneval — EXIL-CBI (Examen Intermedio de Licenciatura en Ciencias Básicas de Ingenierías) · Source checked 2026-09-29Official page: 120 disciplinary + 60 language and communication items (180 total), 2026 prices (MXN 500 / MXN 350), 2026 national calendar, three-option items, and application modalities
Ceneval — Guía para el sustentante EXIL-CBI (julio de 2026) · Source checked 2026-09-29Candidate guide: content counts by science and area, 20% pilot items, performance-level descriptors, session schedule, permitted calculator, and sample items

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.

22.2%

Matemáticas

40 items: álgebra (10), cálculo diferencial (13), cálculo integral (7), cálculo multivariable (2), and ecuaciones diferenciales (8)

22.2%

Física

40 items: mecánica clásica (15), electricidad y magnetismo (10), termodinámica (11), and óptica geométrica (4)

22.2%

Química

40 items of química general: structure of matter, periodic properties, bonding, nomenclature, stoichiometry, pH, thermochemistry, and redox

33.3%

Lenguaje y Comunicación (Spanish)

60 items: comprensión lectora (30) and redacción indirecta (30), assessed in Spanish

Preparing for the EXIL-CBI Exam

What You Need to Know

Passing score: No pass/fail cut score; a performance level (Aún no satisfactorio, Satisfactorio, or Sobresaliente) is reported for each science and area, with no global or section result
Assessment: Two sections: a disciplinary section of 120 items (Matemáticas 40, Física 40, Química 40) and a transversal Spanish Lenguaje y Comunicación section of 60 items (Comprensión lectora 30, Redacción indirecta 30). Both sessions and both sections must be completed for results to be issued.
Time limit: 8 hours (two 4-hour sessions on the same day)
Exam / certification fees: MXN 500 (printed or on-site online) or MXN 350 (Examen desde casa), 2026 prices, paid through the registering institution Official sources

Using Our Practice Resources

Work through all 121 available questions
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EXIL-CBI: Suggested Study Strategy

1Distribute study time according to the 2026 structure: the three sciences carry 40 items each, and Spanish reading and indirect writing together carry 60.

2In mathematics, practice limits, derivative rules, optimization, integration by parts, and second-order constant-coefficient differential equations until you can solve them without notes.

3In physics, include geometric optics (reflection, Snell's law, total internal reflection) alongside mechanics, electricity and magnetism, and thermodynamics.

4In chemistry, review redox reactions, standard reduction potentials, Gibbs energy, nomenclature, and percent-yield stoichiometry.

5For the language section, read academic reviews, research articles, short stories, essays, calls for participants, and news briefs in Spanish, and review agreement, connectors, and accentuation rules.

Frequently Asked Questions

What is the EXIL-CBI?

The Examen Intermedio de Licenciatura en Ciencias Básicas de Ingenierías is a Ceneval diagnostic for engineering students who have finished the common foundational stage of their degree. It reports how well they master the basic sciences (mathematics, physics, and chemistry) and Spanish reading and writing skills, so students and institutions can identify strengths and areas for improvement.

How many questions does the EXIL-CBI have in 2026?

Ceneval's 2026 guide lists 180 items: 120 in the disciplinary section (40 mathematics, 40 physics, 40 chemistry) and 60 in the transversal language and communication section (30 reading comprehension, 30 indirect writing). About 20% are pilot items that do not count toward results. Each item has three answer options.

Is there a passing score?

No. The EXIL-CBI is diagnostic. Ceneval reports a level of Aún no satisfactorio, Satisfactorio, or Sobresaliente for each science and each language area; it does not issue a global or section result, and the exam cannot be used to accredit a degree or condition admission, retention, or graduation.

How do students register and how much does it cost?

Registration is organized by the contracting higher education institution, either on a date the institution sets or in one of Ceneval's national applications (for 2026, 29 May and 27 November). The 2026 prices are MXN 500 for the printed or on-site online exam and MXN 350 for Examen desde casa.

What materials are allowed?

The 2026 guide allows a non-programmable scientific calculator, which cannot be shared. Phones, tablets, smartwatches, and other recording or communication devices are prohibited.

Why is this practice bank in English with four options?

OpenExamPrep publishes one English-language practice bank per exam. This is an independent English-language MCQ study adaptation, not an official translation or a simulation of the Spanish exam. The official items have three options; ours use four. The language and communication questions keep their Spanish passages and answer choices because reading and writing in Spanish is the skill being tested.