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Algebra and Trigonometry MCQs (Free Practice Questions)

Practice 10 carefully selected Algebra and Trigonometry MCQs with explanations. Continue practicing 500+ chapter-wise questions inside the Exam Sprinter app.

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πŸ€– Quick AI Summary

Algebra and Trigonometry is a key topic in Quantitative Aptitude for the SSC CHSL exam. It covers essential principles, core formulas, and practical problem-solving methods tested in previous years. This page offers a complete cheat sheet, standard formulas, and 10 interactive sample practice questions with detailed solutions.

What is Algebra and Trigonometry?

Algebra and Trigonometry covers the essential principles and concepts required for SSC CHSL.

πŸ’‘ Why Study Algebra and Trigonometry?

Highly important, frequently tested in SSC CHSL.

ParameterDetails / Relevance
Target ExamSSC CHSL
Subject CategoryQuantitative Aptitude
Recommended Study Duration10 Hours
Expected Questions2 Questions
Difficulty IndexMedium
Interactive Solved MCQs10 Questions (Complete Explanations)
Adaptive App Practice500+ Questions & AI Tutor Supported

⚠️ Common Pitfalls to Avoid

  • Neglecting foundational prerequisites (make sure you review related chapters in the learning path).
  • Calculation and sign convention errors during numerical steps.
  • Confusing intermediate results with the final correct answer options.

πŸ—ΊοΈ Recommended learning path

Time and Workβž”Algebra and Trigonometry (Current)

What You Will Learn

  • βœ“ Algebra and Trigonometry Fundamentals
  • βœ“ Key applications of Algebra and Trigonometry
  • βœ“ Advanced problem solving in Algebra and Trigonometry

Cheat Sheet & Formulas

  • $$\text{Speed} = \frac{\text{Distance}}{\text{Time}}$$
  • $$\text{Work} = \text{Efficiency} \times \text{Time}$$

Practice Questions

Q1
⏱ 60sHard

If the sum of two numbers is 67 and their difference is 17, find the product of the two numbers.

Q2
⏱ 65sMedium

The average mark of 10 students in a test is 39. If the marks of one student is corrected from 30 to 80, the new average is:

Q3
⏱ 70sEasy

A sells a watch to B at a gain of 30% and B sells it to C at a loss of 12%. If C pays $180 for it, how much did A pay for it?

Q4
⏱ 75sHard

If A and B can complete a work in 12 and 18 days respectively. Working together, in how many days will they finish the work?

Q5
⏱ 80sMedium

Find the compound interest on $6700 for 2 years at 15% per annum, compounded annually.

Q6
⏱ 85sEasy

A train of length 320 m crosses a platform of length 240 m in 15 seconds. What is the speed of the train in km/h?

Q7
⏱ 90sHard

If the ratio of ages of A and B is 3:4, and the sum of their ages is 16, what is A's age?

Q8
⏱ 95sMedium

A shopkeeper marks his items 34% above cost price and then offers a discount of 16%. What is his net profit percentage?

Q9
⏱ 100sEasy

If sin⁑θ=67\sin\theta = \frac{6}{7}, then find the value of tan⁑2θ\tan^2\theta.

Q10
⏱ 105sHard

Find the value of xx if x2βˆ’62x+90=0x^2 - 62x + 90 = 0 has equal roots.

Chapter Guide βœ“β†’Formulas βœ“β†’10 Questions βœ“β†’Next: 500+ Questions in App

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Frequently Asked Questions

Is Algebra and Trigonometry difficult for the exam?β–Ό

Yes, Algebra and Trigonometry requires strong conceptual clarity and practice of standard SSC CHSL style questions.

βœ“ Key Takeaways for Algebra and Trigonometry

  • High exam relevance: 2 questions on average are expected from this chapter.
  • Standard formulas: Comprehensive formula sheets and formulas are fully covered in the cheat sheet section above.
  • Practice and explanation: 10 standard MCQs are solved step-by-step to clarify common numerical and conceptual methods.
  • Step-by-step learning: Start with the formulas, work through the questions, and then download the mobile app for extensive practice.

πŸ”— Related Study Resources