Kerala PSC Maths Questions and Answers Part 2

Kerala PSC Maths Questions and Answers Part 2: Master Averages, Ratios, and Problem Solving

Mathematics is one of the most scoring sections in Kerala PSC exams, and here’s the good news—it doesn’t require years of preparation, just smart strategy and regular practice! This second part covers essential topics like averages, number series, ratio and proportion, geometry, profit-loss calculations, and calendar problems that appear frequently across all exam levels.

In this guide, you’ll find real questions straight from previous Kerala PSC papers, solved step-by-step so you can understand not just the answer, but the method behind it. Whether you’re preparing for LDC, LGS, or degree-level exams, these practice questions will sharpen your problem-solving skills and build your confidence for exam day.

Why Does This Topic Appear in Kerala PSC Exams?

Mathematics questions covering averages, profit-loss, ratios, and number series have been a consistent part of Kerala PSC examinations across LDC, LGS, and degree-level papers for the past 8-10 years. These aren’t random topics—they test your logical thinking and practical problem-solving ability, which are essential for any government position. Just like how historical revolutions require understanding cause and effect, math problems test your ability to connect concepts and find solutions.

Mastering these topics directly improves your exam scores because they carry significant weightage in the quantitative section. Even a small improvement in accuracy here can bump up your overall ranking, making it absolutely worth your time and effort to practice these questions thoroughly.

Key Concepts You Must Understand

Let’s break down the fundamentals: averages are simply the sum of all values divided by the number of values—think of it as finding a “middle ground” number. Ratio and proportion work similarly; a ratio compares two quantities, while proportion tells us if two ratios are equal. When you understand these core ideas deeply, the harder problems become just applications of the same logic.

Number series might look intimidating, but they follow hidden patterns—your job is to spot the pattern (addition, multiplication, or a combination). Profit-loss calculations are straightforward once you remember that profit = selling price minus cost price. Like exploring science and technology topics, the key is to understand the “why” before memorizing formulas.

Smart Study Tips Before You Begin

Here’s a practical trick: always work through at least two solved examples for each topic before attempting your own problems. This trains your brain to recognize patterns and apply the right method. For averages, write down the formula clearly, then substitute numbers step-by-step—rushing is where mistakes happen.

Create a small “formula booklet” with just the essential equations for ratios, profit-loss, and geometry. Review it every morning for 5 minutes as a warm-up. When you’re stuck on a problem, don’t immediately check the answer—take a 10-minute break, come back with fresh eyes, and try a different approach. You can also boost your overall preparation by solving daily GK questions alongside math, which keeps your mind sharp and ready for any exam format.

PSC Previous Questions and Answers

Below are the most important questions from previous Kerala PSC examinations on this topic. Read each one carefully, and try to solve them yourself before checking the answers—that’s where real learning happens!

Kerala PSC Maths Questions and Answers Part 2: Master Averages, Ratios, and More

Mathematics is one of the most scoring sections in Kerala PSC exams, and it doesn’t require years of preparation—just smart strategy and regular practice. This second part covers essential topics like averages, number series, ratio and proportion, geometry, profit-loss calculations, and calendar problems that appear frequently across all exam levels.

In this guide, you’ll find real questions straight from previous Kerala PSC papers, solved step-by-step so you can understand not just the answer, but the method behind it. Whether you’re preparing for LDC, LGS, or degree-level exams, these practice questions will sharpen your problem-solving skills and build your confidence for exam day.

Why Does This Topic Appear in Kerala PSC Exams?

Mathematics questions covering averages, profit-loss, ratios, and number series have been a consistent part of Kerala PSC examinations across LDC, LGS, and degree-level papers for the past 8-10 years. These aren’t random topics—they test your logical thinking and numerical reasoning, which are core competencies for administrative roles in Kerala government services.

Mastering these fundamental maths concepts directly translates into 15-20 extra marks in your final score, which can easily push you into the merit list. Since these questions follow predictable patterns and have straightforward solving methods, investing time here gives you the highest return on effort compared to other subjects.

Key Concepts You Must Understand

Think of averages as the “balancing point”—when you add numbers and divide by how many there are. The trick is remembering that when an average changes, the total sum changes too, and that difference tells you the missing value. For example, if adding one person lowers an average, that person must be younger than the original average.

Ratio and proportion questions are all about maintaining balance—if something is divided in a ratio like 2:3:5, you’re essentially splitting into 2+3+5=10 equal parts. Similarly, profit-loss problems follow a simple formula: if you know selling price and loss percentage, you can always find cost price using basic algebra. Understanding these core patterns helps you solve not just one question, but an entire family of similar problems. For deeper concept building, explore more advanced problem-solving techniques in resources like Modern India questions which also build your analytical thinking.

Smart Study Tips Before You Begin

Create a small notebook and write out the formula for each topic—averages, ratios, profit-loss, volume of shapes, and calendar calculations. Don’t just memorize; solve 2-3 examples of each type until your fingers can write the solution automatically. Speed matters in PSC exams, and repetition builds that speed naturally.

When you encounter a tricky number series or logic problem, take 30 seconds to spot the pattern before diving into solving. Is it increasing by a fixed number? Alternating operations? Following alphabet positions? Once you crack the pattern, the answer falls into place. Keep a consistent revision schedule where you revisit these concepts weekly, and you’ll find that what seemed hard in week 1 becomes second nature by exam time.

PSC Previous Questions and Answers

Below are the most important questions from previous Kerala PSC examinations on this topic. Read each one carefully!

1. The average age of 12 students is 20 years. If one more student is included, the average is decreased by 1. What is the age of a new student? 

A) 6 years

B) 5 years

C) 7 years

D) 8 years

Answer: 7 years

Age of 12 students = 12 × 20 = 240

Average after adding new students’ age = 19

Age of 13 students ( including the new student)= 13 × 19 = 247

Therefore, the age of new student= 247-240= 7 years

2. Find the odd one among the following: 

A) 21

B) 51

C) 91

D) 31

Answer: D (Only Prime Number)

3. If Rs. 8000 is divided among three friends in the ratio 2:3:5, then what is the amount given to A?

A) 1500

B) 1600

C) 4000

D) 1800

Answer: B

4. The volume of a hemisphere of radius 42 cm is: 

A) 155232

B) 225322

C) 213232

D) 14462

Answer: A

5. Find the cost price if the seller had a loss of 25% when furniture was sold for Rs. 720. 

A) 960

B) 850

C) 900

D) 830

Answer: A

6. If 1st February 2024 is Saturday, what day will be March 1st, 2024?

A) Saturday

B) Friday

C) Sunday

D) Monday

Answer: A

7. Find the next number in the given series: DKM, FJP, HIS, JHV, _______

A) HJY

B) LGY

C) IGY

D) GHZ

Answer: B

8. 16 + 8 ÷ 2 × 6 – 10 = ?

A) 32

B) 30

C) 18

D) 52

Answer: B

Wrapping Up — Keep Going!

You’ve just gone through seven classic Kerala PSC maths problems covering averages, odd numbers, ratios, geometry, profit-loss, calendar logic, and number series. These aren’t just random questions—they’re the building blocks that appear again and again in different forms across every PSC paper.

The path to scoring 40+ in maths is consistency, not genius. Spend 20 minutes daily on maths problems, understand each method deeply, and revisit mistakes weekly. Your dedication today will reflect in your scorecard tomorrow. Keep exploring more practice sets on Learn Kerala PSC Online, stay positive, and remember—every question you solve now is one less to worry about on exam day. You’ve got this!

Wrapping Up — Keep Going!

You’ve now got a solid understanding of why these math topics matter and how to approach them strategically. Remember, every expert was once a beginner, and every correct answer is proof that your practice is paying off.

Don’t stop here—keep exploring more topics, refine your problem-solving skills, and visit Learn Kerala PSC Online regularly for updated practice questions, detailed solutions, and expert tips. Your dream PSC rank is closer than you think, and consistent practice is the bridge that gets you there. You’ve got this!