Indian Army Agniveer Maths Important Questions 2025 with Solutions: Top MCQs Asked

Army Agniveer Maths Important Questions: Maths is an important section for all posts in the Army Agniveer exam. Check the Army Agniveer important questions for Maths, including Number System, Arithmetic, Algebra, Geometry, Mensuration and Trigonometry, along with answer key here.

Sunil Sharma
Jun 16, 2025, 17:32 IST
Army Agniveer Mathematics Important Questions
Army Agniveer Mathematics Important Questions

Army Agniveer Mathematics Important Questions: The Indian Army will conduct Agniveer exam from June 30 to July 10, 2025, for various posts like General Duty, Tradesman, Technical, Clerk/Store Keeper, and GD Women MP. Maths is an important section in all exams and holds a significant weightage. The Army Agniveer Maths section comprises questions from topics like Number System, Arithmetic, Algebra, Geometry, Mensuration and Trigonometry. 

Indian Army Agniveer Admit Card 2025 Link

Here we are providing some important questions of Mathematics for the Army Agniveer exam. These questions will help you to understand the level of the exam and provide useful insights into the questions that are generally asked in this exam.

Army Agniveer Maths Syllabus

The Army Agniveer Maths syllabus contains all the key topics and concepts that candidates need to cover. It helps students stay focused on what is important and avoid studying unnecessary topics. Aspirants must review the syllabus thoroughly and then devote time to the preparation of every topic accordingly. Here is the Agniveer exam Mathematics syllabus for all the sections is shared below.

  • Mixture & Allegations
  • Mensuration
  • Trigonometry
  • Geometry
  • Pipes and Cisterns
  • Speed, Time & Distance (Train, Boats & Stream)
  • Algebraic Expressions and inequalities
  • Average
  • Percentage
  • Profit and Loss
  • Time and Work
  • Probability
  • HCF & LCM
  • Ratio and Proportion
  • Partnership
  • Data Interpretation
  • Number System
  • Speed, Distance, and Time
  • Simple & Compound interest

Army Agniveer Mathematics Important Question

The top questions are listed below that can be asked in the Indian Army Agniveer exam.

Q.1 A mixture contains milk and water in the ratio 5:1. If 10 litres of water are added to the mixture, the ratio of milk to water becomes 5:2. What is the quantity of milk in the original mixture?

  1. A) 25 litres
  2. B) 50 litres
  3. C) 75 litres
  4. D) 100 litres

Answer: B) 50 litres

 

Q.2 The area of a circle is 154 cm². What is its circumference? (Take π=22/7)

  1. A) 22 cm
  2. B) 44 cm
  3. C) 88 cm
  4. D) 11 cm

Answer: B) 44 cm

 

Q.3 The volume of a cube is 216 cm³. What is the length of its side?

  1. A) 4 cm
  2. B) 5 cm
  3. C) 6 cm
  4. D) 7 cm

Answer: C) 6 cm

 

Q.4 If two angles of a triangle are 60 and 70, what is the measure of the third angle?

  1. A) 50
  2. B) 60
  3. C) 70
  4. D) 80

Answer: A) 50

 

Q5. A quadrilateral whose all sides are equal and all angles are 90 is called a:

  1. A) Rhombus
  2. B) Rectangle
  3. C) Square
  4. D) Trapezium

Answer: C) Square

Q6. Pipe A can fill a tank in 10 hours and Pipe B can fill it in 15 hours. If both pipes are opened together, how long will it take to fill the tank? 

  1. A) 4 hours 
  2. B) 6 hours 
  3. C) 8 hours 
  4. D) 12 hours 

Answer: B) 6 hours

 

Q7. A train is running at a speed of 72 km/hr. How much distance will it cover in 15 seconds?

  1. A) 150 meters
  2. B) 200 meters
  3. C) 300 meters
  4. D) 400 meters

Answer: C) 300 meters

Q8. A boat can travel at 10 km/hr in still water. If the speed of the stream is 2 km/hr, how long will it take to travel 24 km upstream?

  1. A) 2 hours
  2. B) 3 hours
  3. C) 4 hours
  4. D) 6 hours

Answer: B) 3 hours

Q9. What is the value of (x+y)2 − (x−y)2?

  1. A) 2xy
  2. B) 4xy
  3. C) x2 + y2
  4. D) 2(x2 + y2)

Answer: B) 4xy

 

Q10. If 3x−5>10, what is the smallest integer value for x?

  1. A) 4
  2. B) 5
  3. C) 6
  4. D) 3

Answer: C) 6

 

Q11. The average of the first five natural numbers is: 

  1. A) 2 
  2. B) 3 
  3. C) 4 
  4. D) 5 

Answer: B) 3

 

Q12. What is 20% of 250? 

  1. A) 25 
  2. B) 50 
  3. C) 75 
  4. D) 100 

Answer: B) 50

 

Q13. A shopkeeper buys an article for ₹500 and sells it for ₹600. What is his profit percentage? A) 10% 

  1. B) 15% 
  2. C) 20% 
  3. D) 25% 

Answer: C) 20%

 

Q14. A can do a piece of work in 10 days and B can do the same work in 15 days. If they work together, in how many days will they complete the work? 

  1. A) 4 days 
  2. B) 5 days 
  3. C) 6 days 
  4. D) 8 days 

Answer: C) 6 days

 

Q15. What is the HCF of 12 and 18?

  1. A) 3
  2. B) 6
  3. C) 9
  4. D) 12

Answer: B) 6

 

Q16. What is the LCM of 8 and 12?

  1. A) 4
  2. B) 24
  3. C) 36
  4. D) 48

Answer: B) 24

Q17. If A:B=2:3 and B:C=4:5, what is A:B:C? 

  1. A) 2:3:5 
  2. B) 8:12:15 
  3. C) 4:3:5 
  4. D) 8:12:10 

Answer: B) 8:12:15

 

Q18. A and B started a business with investments of ₹50,000 and ₹75,000 respectively. After 1 year, they made a profit of ₹25,000. What is A's share in the profit? 

  1. A) ₹10,000 
  2. B) ₹12,500 
  3. C) ₹15,000 
  4. D) ₹17,500 

Answer: A) ₹10,000

 

Q19. In a class of 40 students, 25 like playing football and 15 like playing cricket. How many students like playing only football? (Assume no student likes both games, and all students like at least one game.) 

  1. A) 15 
  2. B) 20 
  3. C) 25 
  4. D) 40 

Answer: C) 25

 

Q20. What is the simple interest on ₹1000 at 5% per annum for 2 years?

  1. A) ₹50
  2. B) ₹100
  3. C) ₹150
  4. D) ₹200

Answer: B) ₹100

I am a edtech professional with over 11 years of experience in the education domain, in which over 8 years of managerial experience. I did M.Sc. in Mathematics from Chaudhary Charan Singh University, Meerut in 2010. In May 2012, I joined Vriti Infocom Private Limited as an SME. I worked there around one and half year and joined Aakash Edutech Private Limited in December 2013 as an Senior SME. I left Aakash Edutech Private Limited in April 2023 and my last designation was Assistant Manage there.

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