TNPSC Maths Practice Questions in English – 10 Questions with Solutions

 

10 Important Maths Practice Questions with Solutions

Quantitative Aptitude – Step-by-Step Explanations

TNPSC | SSC | Railway | Competitive Exams

Practice these 10 important mathematics questions for competitive examinations. Each question includes answer options, a step-by-step solution, and the correct answer. Check your calculations and strengthen your quantitative aptitude skills.

📘 Maths Questions and Answers

1. A number is increased by 20% and the result is 180. What is the original number?

A) 120   B) 150   C) 160   D) 180

Solution:

Let the original number be x.

x × 120/100 = 180

x = (180 × 100)/120 = 150

Correct Answer: B) 150

2. The ratio of two numbers is 7 : 9. If their difference is 40, find the larger number.

A) 120   B) 140   C) 160   D) 180

Solution:

Let the numbers be 7x and 9x.

9x − 7x = 40

2x = 40, so x = 20

Larger number = 9 × 20 = 180

Correct Answer: D) 180

3. A sum of money amounts to ₹2,640 in 2 years at 10% per annum simple interest. What is the principal?

A) ₹2,000   B) ₹2,400   C) ₹2,640   D) ₹3,000

Solution:

Amount = Principal × (1 + RT/100)

2640 = P × (1 + (10 × 2)/100)

2640 = P × 1.2

P = 2640/1.2 = ₹2,200

Correct Answer: ₹2,200

Note: The correct answer, ₹2,200, is not included in the given options. The options should be corrected before using this question in a test.

4. The cost price of an article is ₹1,200. It is sold at a loss of 10%. Find the selling price.

A) ₹1,080   B) ₹1,100   C) ₹1,120   D) ₹1,200

Solution:

Loss = 1200 × 10/100 = ₹120

Selling Price = 1200 − 120 = ₹1,080

Correct Answer: A) ₹1,080

5. The average of 17, 23, x and 27 is 20. Find the value of x.

No options provided.

Solution:

Sum of the four numbers = 4 × 20 = 80

17 + 23 + x + 27 = 80

67 + x = 80

x = 80 − 67 = 13

Correct Answer: 13

6. The LCM of two numbers is 180 and their HCF is 6. If one number is 30, find the other number.

A) 36   B) 48   C) 60   D) 72

Solution:

Product of two numbers = LCM × HCF

Product = 180 × 6 = 1080

Other number = 1080/30 = 36

Correct Answer: A) 36

7. A train travels 480 km in 8 hours. What is its speed?

A) 45 km/h   B) 50 km/h   C) 55 km/h   D) 60 km/h

Solution:

Speed = Distance/Time

Speed = 480/8 = 60 km/h

Correct Answer: D) 60 km/h

8. Two taps can fill a tank in 4 hours and 6 hours respectively. If both taps are opened together, how long will they take to fill the tank?

A) 1.5 hours   B) 2.4 hours   C) 3 hours   D) 4 hours

Solution:

First tap's rate = 1/4 tank per hour

Second tap's rate = 1/6 tank per hour

Combined rate = 1/4 + 1/6 = 5/12 tank per hour

Time = 1 ÷ (5/12) = 12/5 = 2.4 hours

Correct Answer: B) 2.4 hours

9. The area of a square is 196 cm². Find its perimeter.

A) 48 cm   B) 56 cm   C) 64 cm   D) 72 cm

Solution:

Area = Side²

Side = √196 = 14 cm

Perimeter = 4 × 14 = 56 cm

Correct Answer: B) 56 cm

10. A number is divided by 5 and the quotient is increased by 8. If the result is 32, find the number.

A) 80   B) 90   C) 100   D) 120

Solution:

x/5 + 8 = 32

x/5 = 32 − 8 = 24

x = 24 × 5 = 120

Correct Answer: D) 120

📌 Important Maths Formulas

• Percentage: (Part/Whole) × 100
• Simple Interest: (Principal × Rate × Time)/100
• Average: Sum of observations/Number of observations
• Speed: Distance/Time
• Square Perimeter: 4 × Side
• LCM × HCF: Product of two numbers

Practice Tip: Try solving each question yourself before reading the solution. Regular practice helps improve speed and accuracy in competitive examinations.

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