Kerala PSC Maths Questions and Answers Part 2

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!