HSA- MATHEMATICS- Previous Year Questions -Module Wise Mock Test

Gear Up for Success: Your Ultimate HSA Mathematics Mock Test Companion

Are you an aspiring HSA candidate? Preparing for the HSA Mathematics 2025 exam? Worried about how to tackle the syllabus effectively? Fear not! You've come to the right place.

Welcome to your one-stop solution for mastering HSA Mathematics. Our blog is dedicated to helping you conquer the exam with confidence. Here, you will find meticulously curated mock tests based on previous years' questions. By practicing these, you will:

• Understand the question patterns and formats.
• Improve your time management skills.
• Boost your confidence by familiarizing yourself with the exam structure.

We have organized the mock tests module-wise to ensure a comprehensive coverage of the syllabus. This approach allows you to focus on one module at a time, making your preparation more structured and manageable. Don't let the extensive syllabus overwhelm you. Embrace the power of practice with our HSA Mathematics mock tests and turn your preparation into a smooth, successful journey.

Module 1: Previous Year Questions

Module I:

• Elementary Set Theory
• Relations
• Partial order
• Equivalence relation
• Functions: bijections, Composition, inverse function
• Quadratic equations: relation between roots and coefficients
• Mathematical induction
• Permutation and combination
• Trigonometric Functions: Identities solution of triangles, heights and distances
• Geometry: Length and area of Polygons and circle
• Solids: Surface area and volume, Euler’s formula

Questions:

Question 1: n(A)=10 n(B)=6 n(C)=5 A,B,C എന്നിവയ്ക്ക് പൊതുവായി ഒരംഗം പോലുമില്ല. എങ്കിൽ n(A U B U C)=

• A. 300
• B. 21
• C. 55
• D. 11

The correct answer is: B. 21

Question 2: തന്നിരിക്കുന്നവയില്‍ ഏകാംഗഗണം ഏതാണ്‌?

• A. { x | |x| = 10, x ∈ ℤ
• B. { x | |x| = 20, x ∈ ℕ
• C. { x | x^2 = 5, x ∈ ℕ
• D. ഇവയൊന്നുമല്ല

The correct answer is: A. { x | |x| = 10, x ∈ ℤ

Question 3: n(A)=4, n(B)=7 എങ്കിൽ n(A U B) യുടെ ഏറ്റവും കുറഞ്ഞ വിലയും കൂടിയ വിലയും എത്രയാണ്‌?

• A. 7, 11
• B. 4, 7
• C. 4, 11
• D. ഇവയൊന്നുമല്ല

The correct answer is: A. 7, 11

Question 4: A={1,2,3} B={1,2}എങ്കില്‍ A യിൽ നിന്നും B യിലേക്കുള്ള ബന്ധങ്ങളുടെ എണ്ണം എത്രയാണ്‌??

• A. 32
• B. 64
• C. 8
• D. ഇവയൊന്നുമല്ല

The correct answer is: A. 32

Question 5: R: x+3y=6 എന്നത്‌ എണ്ണൽ സംഖ്യാഗണത്തില്‍ നിര്‍വ്വചിച്ചിട്ടുള്ള ഒരു ബന്ധമാണ്‌. B ന്റെ മണ്ഡലം ഏതാണ്‌?

• A. {1,2,3}
• B. {1,3}
• C. {1}
• D. {3}

The correct answer is: B. {1,3}

Question 6: f:R-->R എന്നത്‌ f(x)=3-4x. എങ്കിൽ f എന്താണ്‌?

• A. ബൈജക്ടീവ്‌
• B. വണ്‍-വണ്‍
• C. ഓണ്‍ടു.
• D. ഇന്‍ജഴക്ടീവ്‌

The correct answer is: C. ഓണ്‍ടു.

Question 7: f:R-->R എന്നത്‌ f(x)=22x-11 എന്നും g=f^(-1) ആയാൽ g(x) ന്റെ വില എത്ര?

• A. ^{x + 11}⁄₂₂
• B. ^{x - 11}⁄₂₂
• C. ^{x + 1}⁄₂₁
• D. ^{x - 1}⁄₂₁

The correct answer is: B. ^{x - 11}⁄₂₂