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Defence Exams

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Defence Exams MCQ & Objective Questions

Defence Exams play a crucial role in shaping the future of aspiring candidates in India. These exams not only assess knowledge but also test the ability to apply concepts in real-world scenarios. Practicing MCQs and objective questions is essential for effective exam preparation, as it helps students identify important questions and enhances their understanding of key topics.

What You Will Practise Here

Fundamentals of Defence Studies
Key Historical Events and Their Impact
Important Defence Policies and Strategies
Current Affairs Related to National Security
Basic Concepts of Military Operations
Understanding Defence Technologies
Analysing Defence Budget and Expenditure

Exam Relevance

The topics covered in Defence Exams are highly relevant across various educational boards, including CBSE and State Boards, as well as competitive exams like NEET and JEE. Students can expect questions that focus on historical events, current affairs, and fundamental concepts related to defence. Common question patterns include multiple-choice questions that assess both theoretical knowledge and practical application.

Common Mistakes Students Make

Overlooking current affairs, which are often integrated into exam questions.
Confusing similar historical events or dates, leading to incorrect answers.
Neglecting the importance of definitions and key terms in objective questions.
Relying solely on rote memorization instead of understanding concepts.

FAQs

Question: What types of questions can I expect in Defence Exams?
Answer: You can expect a mix of MCQs covering historical events, current affairs, and fundamental concepts related to defence.

Question: How can I improve my performance in Defence Exams?
Answer: Regular practice of MCQs and understanding key concepts will significantly enhance your performance.

Start your journey towards success by solving practice MCQs today! Testing your understanding will not only boost your confidence but also prepare you for the important Defence Exams ahead.

NDA

Q. What is the critical point of the function f(x) = x^4 - 4x^3 + 6? (2023)

A. 0
B. 1
C. 2
D. 3

Solution

First derivative f'(x) = 4x^3 - 12x^2. Setting f'(x) = 0 gives x = 0, 1, 3.

Correct Answer: B — 1

Q. What is the cross product of vectors A = i + 2j + 3k and B = 4i + 5j + 6k?

A. -3i + 6j - 3k
B. -3i + 6j + 3k
C. 3i - 6j + 3k
D. 3i + 6j - 3k

Solution

A × B = |i  j  k| |1  2  3| |4  5  6| = -3i + 6j - 3k.

Correct Answer: A — -3i + 6j - 3k

Q. What is the cross product of vectors A = i + 2j and B = 3i + 4j? (2021)

A. -2k
B. 2k
C. k
D. 0

Solution

A × B = |i  j  k| |1  2  0| |3  4  0| = (0 - 0)i - (0 - 0)j + (4 - 6)k = -2k.

Correct Answer: A — -2k

Q. What is the cross product of vectors E = i + 2j and F = 3i + 4j?

A. -2k
B. 2k
C. k
D. 0

Solution

E × F = |i  j  k| |1  2  0| |3  4  0| = (0 - 0)i - (0 - 0)j + (1*4 - 2*3)k = -2k.

Correct Answer: A — -2k

Q. What is the current account deficit of India as a percentage of GDP in 2023? (2023)

A. 1.2%
B. 2.5%
C. 3.1%
D. 4.0%

Solution

India's current account deficit is estimated to be around 2.5% of GDP in 2023.

Correct Answer: B — 2.5%

Q. What is the current exchange rate of 1 USD to INR as of 2023? (2023)

A. 72 INR
B. 75 INR
C. 78 INR
D. 80 INR

Solution

As of 2023, the exchange rate is approximately 78 INR for 1 USD.

Correct Answer: C — 78 INR

Q. What is the current exchange rate of INR to USD as of 2023? (2023)

A. 72
B. 80
C. 75
D. 78

Solution

As of 2023, the exchange rate of INR to USD is approximately 80.

Correct Answer: B — 80

Q. What is the current exchange rate of INR to USD in 2023? (2023)

A. 70
B. 75
C. 80
D. 85

Solution

As of 2023, the exchange rate of INR to USD is approximately 80.

Correct Answer: C — 80

Q. What is the current fiscal deficit percentage of India for the year 2023? (2023)

A. 4.5%
B. 5.0%
C. 5.5%
D. 6.0%

Solution

The fiscal deficit percentage of India for the year 2023 is estimated to be around 5.0%.

Correct Answer: B — 5.0%

Q. What is the current fiscal deficit percentage of India's GDP in 2023? (2023)

A. 4.5%
B. 5.0%
C. 5.5%
D. 6.0%

Solution

The fiscal deficit of India is estimated to be around 5.0% of GDP in 2023.

Correct Answer: B — 5.0%

Q. What is the current foreign exchange reserves of India as of 2023? (2023)

A. $500 billion
B. $600 billion
C. $700 billion
D. $800 billion

Solution

India's foreign exchange reserves are approximately $600 billion as of 2023.

Correct Answer: B — $600 billion

Q. What is the current foreign exchange reserves of India in 2023? (2023)

A. $500 billion
B. $600 billion
C. $700 billion
D. $800 billion

Solution

India's foreign exchange reserves are around $600 billion in 2023.

Correct Answer: B — $600 billion

Q. What is the current inflation rate in India as of 2023? (2023)

A. 3.5%
B. 5.0%
C. 6.5%
D. 7.2%

Solution

As of 2023, the inflation rate in India is reported to be around 6.5%.

Correct Answer: C — 6.5%

Q. What is the current literacy rate in India as of 2023? (2023)

A. 74%
B. 76%
C. 78%
D. 80%

Solution

The literacy rate in India is reported to be around 78% as of 2023.

Correct Answer: C — 78%

Q. What is the current rate of Goods and Services Tax (GST) on most goods in India as of 2023? (2023)

A. 5%
B. 12%
C. 18%
D. 28%

Solution

The standard GST rate on most goods in India is 18% as of 2023.

Correct Answer: C — 18%

Q. What is the current status of the COVID-19 vaccination drive in India as of 2023? (2023)

A. Complete
B. Ongoing
C. Paused
D. Discontinued

Solution

As of 2023, the COVID-19 vaccination drive in India is ongoing with booster doses being administered.

Correct Answer: B — Ongoing

Q. What is the current unemployment rate in India as of 2023? (2023)

A. 4.5%
B. 5.8%
C. 6.5%
D. 7.2%

Solution

The unemployment rate in India is reported to be around 5.8% as of 2023.

Correct Answer: B — 5.8%

Q. What is the decibel level of a sound that is 10 times more intense than a reference sound at 0 dB?

A. 10 dB
B. 20 dB
C. 30 dB
D. 40 dB

Solution

The decibel scale is logarithmic; a sound 10 times more intense is 10 dB.

Correct Answer: A — 10 dB

Q. What is the decibel level of a sound that is 10 times more intense than the reference level of 0 dB?

A. 10 dB
B. 20 dB
C. 30 dB
D. 40 dB

Solution

A sound that is 10 times more intense than the reference level is 10 dB.

Correct Answer: A — 10 dB

Q. What is the decibel level of a sound that is perceived as the threshold of hearing? (2022)

A. 0 dB
B. 10 dB
C. 20 dB
D. 30 dB

Solution

The threshold of hearing is defined as 0 dB.

Correct Answer: A — 0 dB

Q. What is the derivative of f(x) = 3x^4 - 5x^2 + 2? (2021)

A. 12x^3 - 10x
B. 12x^3 - 5
C. 6x^3 - 5x
D. 3x^3 - 5

Solution

Using the power rule, f'(x) = 12x^3 - 10x.

Correct Answer: A — 12x^3 - 10x

Q. What is the derivative of f(x) = 3x^4 - 5x^3 + 2x - 7?

A. 12x^3 - 15x^2 + 2
B. 12x^3 - 15x^2 - 2
C. 3x^3 - 5x^2 + 2
D. 3x^3 - 5x^2 - 2

Solution

Using the power rule, f'(x) = 12x^3 - 15x^2 + 2.

Correct Answer: A — 12x^3 - 15x^2 + 2

Q. What is the derivative of f(x) = 4/x? (2022)

A. -4/x^2
B. 4/x^2
C. -4/x
D. 4/x

Solution

Using the power rule, f'(x) = -4/x^2.

Correct Answer: A — -4/x^2

Q. What is the derivative of f(x) = 5x^2 - 4x + 3?

A. 10x - 4
B. 10x + 4
C. 5x - 4
D. 5x + 4

Solution

Using the power rule, f'(x) = 10x - 4.

Correct Answer: A — 10x - 4

Q. What is the derivative of f(x) = 5x^3 - 2x + 1? (2023)

A. 15x^2 - 2
B. 5x^2 - 2
C. 15x^3 - 2
D. 5x^3 - 2

Solution

The derivative f'(x) = 15x^2 - 2.

Correct Answer: A — 15x^2 - 2

Q. What is the derivative of f(x) = 5x^5 - 3x + 7? (2020)

A. 25x^4 - 3
B. 15x^4 - 3
C. 5x^4 - 3
D. 20x^4 - 3

Solution

Using the power rule, f'(x) = 25x^4 - 3.

Correct Answer: A — 25x^4 - 3

Q. What is the derivative of f(x) = 7x^2 + 2x - 5? (2023)

A. 14x + 2
B. 14x - 2
C. 7x + 2
D. 2x - 5

Solution

Using the power rule, f'(x) = 14x + 2.

Correct Answer: A — 14x + 2

Q. What is the derivative of f(x) = e^x * ln(x)? (2022)

A. e^x * ln(x)
B. e^x/x
C. e^x * (1 + ln(x))
D. e^x * ln(x)/x

Solution

Using the product rule, f'(x) = e^x * ln(x) + e^x * (1/x) = e^x * (ln(x) + 1/x).

Correct Answer: C — e^x * (1 + ln(x))

Q. What is the derivative of f(x) = e^x * x^2?

A. e^x * (2x + 1)
B. e^x * (x^2 + 2)
C. e^x * 2x
D. 2e^x * x

Solution

Using the product rule, f'(x) = e^x * x^2 + e^x * 2x = e^x * (x^2 + 2x).

Correct Answer: A — e^x * (2x + 1)

Q. What is the derivative of f(x) = ln(x)? (2019)

A. 1/x
B. x
C. e^x
D. x^2

Solution

The derivative f'(x) = d/dx(ln(x)) = 1/x.

Correct Answer: A — 1/x

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