Indian Air Force Agniveer Mathematics Important Questions - Revise Your Concepts

If you're preparing for the Indian Air Force Agniveer exams, it's crucial to pay special attention to the Mathematics section. This article provides Indian Air Force Agniveer Mathematics Important Questions. 

These Indian Air Force Agniveer Mathematics Important Questions cover various topics and will help you:

• Practice your mathematical concepts and 
• Problem-solving skills. 

The Mathematics section of the exam tests a candidate's math skills and knowledge. It assesses their understanding and application of various mathematical concepts and topics.

With these questions, you can improve your performance in the Mathematics section of the Indian Air Force Agniveer exam. These Indian Air Force Agniveer Mathematics Important Questions will give an insight into the types of questions you can expect in the actual exam.

Indian Air Force Agniveer Mathematics Important Questions

Following are some Indian Air Force Agniveer Mathematics Important Questions that will help you understand the types of questions that may be asked on the actual exam. These questions will help you practice and revise your knowledge. Solve these Indian Air Force Agniveer Mathematics Important Questions to understand your level of preparation.

Q1) The radius of a sphere and hemisphere are the same. The ratio of their total surface area will be: 

1. 3:1 
2. 2:1 
3. 3:2 
4. 4:3 

Solution: surface area of a sphere is (4πrr2) 

And for a hemisphere it is(2πr2). Where, the radius is 'r'.

The ratio is: 

(2πr2) / (4πr2) = 1/2

Answer is 1:2.

Q2) A train covers a distance running at 48 km/hr for 50 mins. The speed at which the train should run to reduce the journey time to 40 mins will be- 

1. 45 km/hr 
2. 50 km/hr 
3. 60 km/hr 
4. 75 km/hr

Solution: 

Original speed = 48 km/hr 

Original time = 50 minutes = 50/60 hours = 5/6 hours 

New time = 40 minutes = 40/60 hours = 2/3 hours

Let's denote the new speed as 'v'.

Original speed = Distance / Original time 

48 = Distance / (5/6)

Distance = 48 * (5/6) 

Distance = 40 km

Now, we can find the new speed using the new distance and time: 

v = 40 km / (2/3) hours 

v = 60 km/hr

Therefore, the new speed is 60 km/hr.

Q3) A certain number of people can complete a piece of work in 55 days. Had there been 6 more people, the work could be finished in 44 days. How many people were originally working?

1. 17 
2. 24 
3. 30 
4. 22

Solution: 

x people complete the work in 55 days. 

(x + 6) people complete the work in 44 days.

We can use the concept of man-days, where:

Work done = product of number of people and number of days.

In the first case, we have: 

x * 55 = Total work completed by 'x' people

In the second case, we have: 

(x + 6) * 44 = Total work completed by (x + 6) people

Since the total work completed in both cases is the same, we can equate the two expressions:

x * 55 = (x + 6) * 44

Solving this equation will give us the value of 'x':

55x = 44x + 264 11x = 264 x = 24

Therefore, originally, there were 24 people working on the piece of work.

Know Indian Air Force Agniveer Cut Off here!

Q4) A fruit seller had apples. He sold 40% apples and has 420 apples remaining. How many apples did he have in total?

1. 588 apples
2. 600 apples
3. 672 apples
4. 700 apples

Solution: if the seller sold 40% apples, it means the remaining 420 are 60% of the total.

60% of x = 420

60/100 x = 420

When u solve the equation you will get that, x= 700 apples

Q5) A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is:

1. 1425
2. 1530
3. 1600
4. 1500

Solution:

Suppose total profit is Rs. 100.

If A's share is Rs. 57, total profit = Rs. 100.

Q6) The sum of ages of 5 children, each born 3 years apart is 50 years. What would the age of the youngest be?

1. 4 years
2. 5 years
3. 10 years
4. None of these

Solution: According to the given information, 

The ages of the 5 children are 3 years apart. 

We get the following equation:

x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50

5x + 30 = 50 5x = 20 x = 4

The youngest is 4 years old.

Check the Indian Air Force Agniveer Eligibility Criteria here!

Q7) What is the cube root of .000216?

1. 0.6
2. 0.06
3. 0.066
4. 0.77

Solution: the cube root of 0.000216 is 0.06

Q8) What is the greatest number that will divide 43, 91 and 183 to leave the same remainder in each case.

1. 4
2. 7
3. 9
4. 13

Solution:

H.C.F. of (91 - 43), (183 - 91), (183 - 43)

  = H.C.F. of 48, 92, 140 = 4.

Q9) Find the value of x in this equation: (17)3.5 x (17)x = 178

1. 2.75
2. 4.25
3. 4.5
4. 5

Solution: We know that as per rule of exponents:

ax x ay = a(x+y)

Therefore, 3.5 + x = 8

Hence, the value of x = 4.5

Get the Indian Air Force Agniveer Exam Analysis here!

10) Suppose 5a = 3125 then, the value of 5(a-2) will be?

1. 625
2. 125
3. 25
4. 1625

Solution: 5 need to be multiplied with itself 5 times to get 3125 as the answer. So value of ‘a’ is 5.

Value of 5(a-2)= 5(5-2)

= 53 = 125

Q11) Two students gave an examination. One scored 9 marks more than the other and his marks was 56% of the total of their marks. Their marks are:

1. 39, 30
2. 41, 32
3. 42, 33
4. 43, 34

Solution: Let their marks be (x + 9) and x.

25(x + 9) = 14(2x + 9)

3x = 99

x = 33

Hence, the marks are 42 and 33.

Q12) John invested Rs. 5,000 in a savings account with an annual interest rate of 4%. The interest is compounded annually. How much money will John approximately have after 3 years?

1. 5,600 
2. 5,620
3. 5,640 
4. 5,650

Solution: 

To calculate the final amount, we use the compound interest formula: A = P(1 + r/n)^(nt)

P = Rs. 5,000 

r = 4% (in decimal form, 0.04) 

n = 1 (compounded annually) 

t = 3 (3 years)

A = 5000(1 + 0.04/1)^(1*3) 

A = 5000(1.04)^3 

A = 5000 * 1.124864 

A = Rs. 5,624.32

Therefore, after 3 years, John will have approximately Rs. 5,624.32.

See the Indian Air Force Agniveer Syllabus and Exam Pattern here!

Q13) A vessel is filled with 3 parts of water and 5 parts milk. How much of the mixture must be replaced with water so that the mixture is half water and half milk?

1. 1/3 
2. 1/5 
3. 1/4 
4. 1/7 

Solution: 

Assume there is a total of 8 litres of liquid initially.

Let x be the litres of this liquid to be replaced with water.

5x + 24 = 40 - 5x

10x = 16

Q14) The cost price of 20 articles is equal to the selling price for ‘x’ articles. If the profit is 25%, then what is x:

1. 15
2. 16
3. 18
4. 25

Solution: Cost price of 20 articles = Selling price of x articles 

Profit percentage = 25%

The cost price of 20 articles is equal to the selling price of x articles, and we need to find the value of 'x'.

Profit percentage = (Selling price - Cost price) / Cost price * 100

Given that the profit percentage is 25% (or 25/100), we can set up the equation:

(25/100) * C = (Selling price - Cost price)

Since the cost price of 20 articles is equal to the selling price of x articles, we can substitute these values into the equation:

(25/100) * C = (x * C - 20 * C)

Simplifying the equation: 25C = xC - 20C

Bringing the 'xC' term to the left side: xC - 25C = 20C

Simplifying further: xC - 25C - 20C = 0

Combining like terms: xC - 45C = 0

Factoring out 'C': C(x - 45) = 0

Since the cost price 'C' cannot be zero, we focus on the expression (x - 45) = 0.

Therefore, x - 45 = 0 

x = 45

Q15) Find the odd one out in the given series: 10, 25, 45, 54, 60, 75, 80

1. 10
2. 45
3. 54
4. 75

Solution: All numbers apart from 54 are multiples of 5.

Practice more such questions with the Indian Air Force Agniveer Previous Year Papers here!

Benefits Of Solving Indian Air Force Agniveer Mathematics Important Questions

Solving Indian Air Force Agniveer English Important Questions helps you understand different question types, identify weak areas, boost confidence, and revise key concepts.

Benefits of solving Indian Air Force Agniveer Mathematics Important Questions:

• Practicing Indian Air Force Agniveer Mathematics Important Questions helps you become familiar with different question formats.
• Solving these questions helps you identify areas where you struggle or make mistakes, enabling you to focus on improving those specific areas.
• Regular practice increases your confidence as you become more comfortable with the question formats and improve your performance.
• Solving the Indian Air Force Agniveer Mathematics Important Questions allows you to review and reinforce your understanding of Mathematics concepts, enhancing your overall skills.

We hope you found the Indian Air Force Agniveer Mathematics Important Questions helpful. Explore more details of the recruitment exam through our Testbook App. Get access to important notifications and study resources.