CUSAT CAT B.Tech Practice Questions - CUSAT Common Admission Test for B.Tech Exam - CUSAT CAT B.Tech Practice Questions - CUSAT Common Admission Test for B.Tech Exam

Question 1

For what value of k is the matrix A = [[2, k], [3, 6]] singular?

4 3 6 2

Correct Answer:

Question 2

If sin(x) + cos(x) = sqrt(2) * cos(x), what is the value of cos(x) - sin(x)?

-sqrt(2) * sin(x) sqrt(2) * sin(x) sqrt(2) * cos(x) -sqrt(2) * cos(x)

Correct Answer:

sqrt(2) * sin(x)

Question 3

What is the value of the limit as x approaches 0 of tan(3x) / sin(2x)?

2/3 1 3/2 0

Correct Answer:

3/2

Question 4

Find the modulus of the complex number z = (3 + 4i) / (1 - 2i).

5 sqrt(3) 1 sqrt(5)

Correct Answer:

sqrt(5)

Question 5

If the vectors a = 2i + 3j - k and b = i - j + kk are perpendicular to each other, what is the value of the scalar coefficient k?

-1 1 5 -5

Correct Answer:

-1

Question 1

Exam overview

About this Exam

Prepare with the CUSAT CAT B.Tech Practice Questions - CUSAT Common Admission Test for B.Tech Exam practice quiz. This question bank includes 100 questions covering find, value, sqrt, first, and equation. Use it to review important concepts, identify knowledge gaps, and build confidence for the related exam, course, or assessment.

More details

Additional Information

CUSAT CAT B.Tech Practice Questions - CUSAT Common Admission Test for B.Tech Exam

This practice set contains 100 questions from the matching question bank and focuses on find, value, sqrt, first, and equation. Work through each question carefully, review the provided solutions, and revisit topics that need more study before your next attempt.

This is an independent study resource intended for practice and review; it is not an official examination or an endorsement by any organization named in the title.

Quiz information

Frequently Asked Questions

The complete question count is available after full access is unlocked.

No fixed duration is currently configured for this quiz.

Question explanations are included where they are available in the quiz content, helping you review the reasoning after answering.

Yes. You can retake the practice test again as you continue studying during your available access period.

After your access is confirmed, you can continue into the complete practice exam from this quiz flow.

Unless explicitly stated otherwise, this page provides independent practice material for study and exam preparation and is not the official examination itself.

Keep studying

Correct Answer:

Correct Answer:

Correct Answer:

Correct Answer:

Correct Answer:

About this Exam

Additional Information

CUSAT CAT B.Tech Practice Questions - CUSAT Common Admission Test for B.Tech Exam

Frequently Asked Questions

Related Questions

CET Paramedical Admission Practice Test

Clinical Approach to Common Infections Practice Test

Common Core Geometry Practice Test

Common Faculty Development – Instructor Course (CFD-IC) Practice Exam

Common Management Admission Test (CMAT) Practice Exam

Common Passenger Vehicle Rescue Technician Practice Test