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?
- A) 25 litres
- B) 50 litres
- C) 75 litres
- 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)
- A) 22 cm
- B) 44 cm
- C) 88 cm
- D) 11 cm
Answer: B) 44 cm
Q.3 The volume of a cube is 216 cm³. What is the length of its side?
- A) 4 cm
- B) 5 cm
- C) 6 cm
- 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?
- A) 50∘
- B) 60∘
- C) 70∘
- D) 80∘
Answer: A) 50∘
Q5. A quadrilateral whose all sides are equal and all angles are 90∘ is called a:
- A) Rhombus
- B) Rectangle
- C) Square
- 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?
- A) 4 hours
- B) 6 hours
- C) 8 hours
- 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?
- A) 150 meters
- B) 200 meters
- C) 300 meters
- 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?
- A) 2 hours
- B) 3 hours
- C) 4 hours
- D) 6 hours
Answer: B) 3 hours
Q9. What is the value of (x+y)2 − (x−y)2?
- A) 2xy
- B) 4xy
- C) x2 + y2
- D) 2(x2 + y2)
Answer: B) 4xy
Q10. If 3x−5>10, what is the smallest integer value for x?
- A) 4
- B) 5
- C) 6
- D) 3
Answer: C) 6
Q11. The average of the first five natural numbers is:
- A) 2
- B) 3
- C) 4
- D) 5
Answer: B) 3
Q12. What is 20% of 250?
- A) 25
- B) 50
- C) 75
- 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%
- B) 15%
- C) 20%
- 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?
- A) 4 days
- B) 5 days
- C) 6 days
- D) 8 days
Answer: C) 6 days
Q15. What is the HCF of 12 and 18?
- A) 3
- B) 6
- C) 9
- D) 12
Answer: B) 6
Q16. What is the LCM of 8 and 12?
- A) 4
- B) 24
- C) 36
- D) 48
Answer: B) 24
Q17. If A:B=2:3 and B:C=4:5, what is A:B:C?
- A) 2:3:5
- B) 8:12:15
- C) 4:3:5
- 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?
- A) ₹10,000
- B) ₹12,500
- C) ₹15,000
- 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.)
- A) 15
- B) 20
- C) 25
- D) 40
Answer: C) 25
Q20. What is the simple interest on ₹1000 at 5% per annum for 2 years?
- A) ₹50
- B) ₹100
- C) ₹150
- D) ₹200
Answer: B) ₹100