TNPSC Group 4 – Maths Important Questions with Solutions

 1. Profit Percentage Puzzle

Q: If the cost price of 15 articles is equal to the selling price of 12 articles, what is the profit percentage?

A: Profit % = 25%

2. Speed-Time Riddle
Q: A train travels 360 km at a uniform speed. If the speed had been 5 km/hr more, it would have taken 48 minutes less. Find the original speed.

A: Speed = 45 km/h

3. LCM and HCF Link
Q: The ratio of two numbers is 3:4, and their LCM is 240. What is their HCF?

A: HCF = 20

4. Unit Digit Trick
Q: What is the unit digit of $7^{103}$?

A: Unit digit = 3

5. Discount and Profit Combined
Q: A shopkeeper gives a 10% discount and still gains 20%. If the marked price is ₹600, what is the cost price?

A: Cost Price = ₹450

6. Average of Natural Numbers
Q: What is the average of the first 50 natural numbers?

A: Average = 25.5

7. Mixed Travel Problem
Q: A man covers 60 km in 6 hours, partly at 5 km/h and partly at 15 km/h. What is the distance travelled on foot?

A: On foot = 15 km

8. Compound Interest
Q: What is the compound interest on ₹4000 for 2 years at 10% per annum?

A: CI = ₹484

9. LCM Finder
Q: What is the LCM of 15 and 25?

A: LCM = 75

10. Equation Simplification
Q: Solve: $4x - 7 = 9$

A: $x = 4$

11. Savings Percentage
Q: If a person earns ₹15,000 and spends ₹12,000, what is the saving percentage?

A: Savings % = 20%

12. Exponential Form
Q: Write $2 × 2 × 2 × 2$ in exponential form.

A: $2^4$

13. Perimeter of a Square
Q: Find the perimeter of a square with side 5 cm.

A: Perimeter = 20 cm

14. Fraction Simplification
Q: Simplify: $\frac{1}{2} ÷ \frac{3}{4}$

A: Answer = $\frac{2}{3}$

15. Algebraic Identity
Q: Simplify: $(x + 3)(x - 3)$

A: Answer = $x^2 - 9$

16. Area of a Circle
Q: What is the area of a circle with radius 7 cm?

A: Area = 154 cm²

17. Ratio Division
Q: Divide ₹600 between A and B in the ratio 2:3.

A: A = ₹240, B = ₹360

18. Volume of a Cube
Q: What is the volume of a cube with side 6 cm?

A: Volume = 216 cm³

19. Change in Area
Q: If the radius of a circle is doubled, how does the area change?

A: Area becomes 4 times

20. Simple Interest
Q: Find simple interest on ₹5000 for 2 years at 5% per annum.

A: SI = ₹500

Reference Links for Competitive Exam Maths

https://testbook.com/objective-questions/mcq-on-quantitative-aptitude--5eea6a1239140f30f369ed5b

https://www.khanacademy.org/math/arithmetic

https://www.khanacademy.org/math/algeb

https://www.indiabix.com/aptitude/questions-and-answers/