Kerala PSC Maths Questions and Answers Part 1

Kerala PSC Maths Questions and Answers Part 1: Master Essential Calculations

Mathematics is one of the trickiest sections in Kerala PSC exams, but here’s the truth — it’s totally conquerable with the right practice! This post covers fundamental math concepts like fractions, time-distance problems, averages, and statistics that appear repeatedly across LDC, LGS, and Degree-level exams.

You’re about to see real previous year questions with step-by-step solutions that will help you understand not just the “what” but the “how” and “why” behind each answer. Ready to build your math confidence? Let’s dive in!

Why Does This Topic Appear in Kerala PSC Exams?

Mathematics questions appear in almost every Kerala PSC exam — from LDC and LGS to Degree-level positions. These foundational topics are tested consistently because they measure your logical thinking and problem-solving speed, both crucial for administrative roles. If you’re preparing for any Kerala PSC exam, strengthening your math fundamentals is non-negotiable, and you can access Kerala PSC Solved Questions for All Exams to see how these topics fit into the bigger picture.

The questions you’ll see here test your ability to work under pressure and apply formulas correctly — exactly what you’ll need to do on exam day. Master these topics, and you’ll notice your overall score climbing significantly!

Key Concepts You Must Understand

Let’s break down the core ideas: First, you need to be comfortable with fractions and ratios — knowing how to simplify and manipulate them is your foundation. Second, understand the relationship between speed, distance, and time; this isn’t just math, it’s real-world problem solving. Third, learn statistical concepts like median (the middle value when numbers are arranged in order) and how to apply formulas for work and speed problems.

Think of these concepts as building blocks. Once you’re solid on the basics, complex problems become much simpler. The key is recognizing which formula to apply in which situation, and that comes from seeing multiple examples and understanding the logic behind them. When you’re ready to explore more advanced topics, resources like geography and time-based questions can also strengthen your analytical thinking.

Smart Study Tips Before You Begin

Here’s my best advice: Don’t just memorize formulas — write them out and understand what each variable means. For example, in the formula M1 × D1 = M2 × D2 (for work problems), understand that you’re essentially saying “total work effort is constant.” This mindset helps you remember and apply formulas correctly even when the question is worded differently.

Practice converting units (like minutes to hours, kilometers to meters) until it becomes automatic — this is where many aspirants lose marks unnecessarily. Set a timer and solve 5-10 problems daily, focusing on accuracy first, speed second. When you’re reviewing, check out similar patterns in other PSC question sets to see how these concepts repeat across exams.

PSC Previous Questions and Answers

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

1. If 1400 x = 1050, then what is the value of x?

A) 1

B) 4/3

C) 4/7

D) 3/4

Answer: D

x= 1050 / 1400 = 3/4

2. If 15 men can complete a work in 12 days, then how many men are required to complete the work in 60 days?

A) 4

B) 3

C) 6

D) 9

Answer: B

M1 × D1 = M2 × D2

15 × 12 = M2 × 60

i.e., 15× 12 ⁄ 60 = 3

3. A person travels for 15 hours, the first half at 21 Km/ hr and the other half at 24 Km/hr. Find the distance travelled.

A) 336 Km

B) 346 Km

C) 224 Km

D) 285 Km

Answer: A

Average speed= 2XY / X + Y

Avg. Speed = 2 × 21 × 24 / 21 + 24 = 1008/ 45 = 22.4

Time: 15hrs

Distance = Speed × Time= 22.4 × 15 = 336 Km

4. The distance covered by a man walking for 20 minutes at a speed of 6 km/hr is

A) 1.8 km

B) 3 Km

C) 2 Km

D) 1.5 Km

Answer: C

Distance = Speed × Time

Time = 20 minutes i.e. 20/60 hours

Therefore, D= 6 × 20/60 = 2

5. √162 / ? =? / √18

A) 62

B) 32

C) 45

D) 54

Answer: D

?² = √ 81 × 2 × √ 9 × 2

9 × 3 × 2 = 54

6. 28, 36, 22, 16, 48, 18, 23. Find the median of these numbers?

A) 28

B) 22

C) 23

D) 36

Answer: C

Write the given series in ascending order- 16, 18, 22, 23, 28, 36, 48. The middle number is 23.

7. If DELHI is coded as CDKHG, then what is the code of KOCHI?

A) LMDGJ

B) MQEJL

C) JNBGH

D) IMBGH

Answer: C

8. A person crosses 800m long street in 6 minutes. What is the approximate speed in kilometer per hour?

A) 8 Km/ hr

B) 6 Km/ hr

C) 10 Km/ hr

D) 9 Km/ hr

Answer: A

Distance = 800m = 800 /1000

Time = 6 minutes = 6/ 60 hr

Speed = Distance / Time= 800 / 1000 × 6 / 60 = 8 Km / hr

Wrapping Up — Keep Going!

You’ve just reviewed six critical math problems that test fractions, work rates, speed-distance-time, and statistics — all favorites in Kerala PSC exams. These aren’t just random questions; they’re patterns that repeat, so mastering them puts you ahead of the competition.

Don’t stop here! Your next step is to solve similar problems from different sources and time yourself to build speed. Visit Learn Kerala PSC Online regularly for more topic-wise solutions, mock tests, and study strategies designed specifically for Kerala PSC aspirants like you. You’ve got this — keep practicing and stay confident!