UPSC Prelims Miscellaneous Questions

Q.721Miscellaneous2024Easy

If two random variables X and Y are connected by relation 2X - 3Y = 4 and X follows Binomial distribution with parameters n = 10 and p = 1/2, then what is the variance of Y?

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Q.722Miscellaneous2024Easy

Let A and B be two events such that P(AUB) ≥ 0-75 and 0-125 < P(ANB) 0-375. What is the minimum value of P(A) + P(B)?

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Q.723Miscellaneous2024Easy

Let f(x) and g(x) be two functions such that g(x)=x- 1/x and f o g(x) = x^3 - 1/x^3 What is f'(x) equal to?

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Q.724Miscellaneous2024Easy

Freedom Fighter Kanaklata Barua sacrificed her life while participating in

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Q.725Miscellaneous2024Easy

Let f(x)=|x| + 1 and g(x)=[x] − 1, where [.] is the greatest integer function. Let h(x) = f(x)/g(x) Consider the following statements: 1.f(x) is differentiable for all x < 0 2.g(x) is continuous at x = 0.0001 3.The derivative of g(x) at x = -2.5 is 1 Which of the statements given above are correct?

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Q.726Miscellaneous2024Easy

Consider the following statements: 1.f'(e) = 1/e 2.f(x) attains local minimum value at x = e 3.A local minimum value of f(x) is e Which of the statements given above are correct?

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Q.727Miscellaneous2024Easy

Where is the Coriolis Effect the largest ?

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Q.728Miscellaneous2024Easy

Let f(x) and g(x) be two functions such that g(x)=x- 1/x and f o g(x) = x^3 - 1/x^3 What is g(f(x) - 3x) equal to?

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Q.729Miscellaneous2024Easy

A bag contains 5 black and 4 white balls. A man selects two balls at random. What is the probability that both of these are of the same colour?

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Q.730Miscellaneous2024Easy

Which one of the following statements is NOT correct about NATO ?

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Q.731Miscellaneous2024Easy

In January 2024, India has entered into a bilateral agreement through which it will provide grant assistance to a country to construct a 20 feet Bailey bridge. Identify the country.

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Q.732Miscellaneous2024Easy

In the passing of a Money Bill, the Rajya Sabha has limited powers in that it shall return the Bill, with or without any recommendation, within the stipulated time of

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Q.733Miscellaneous2024Easy

Which of the following statements with regard to Article 19(1) of the Constitution of India is/are correct ? 1.Freedoms under this Article are not absolute 2.Reasonable restrictions can be imposed on the exercise of freedoms under this Article Select the answer using the code given below :

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Q.734Miscellaneous2024Easy

A differentiable function f(x) has a local maximum at x = 0. Let y = 2f(x) + ax – b. The function y has a relative maxima at x = 0 for

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Q.735Miscellaneous2024Easy

Which one among the following Joint Military Exercises was NOT conducted between India and USA ?

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Q.736Miscellaneous2024Easy

Consider the following statements : 1.The duties of the Attorney General of India are to give advice to the Government of India upon such legal matters, and to perform such other duties of a legal character, as may from time to time be referred to or assigned to him by the President of India 2.The Solicitor General of India is the secondary Law Officer of the country, who assists the Attorney General, and is himself assisted by several Additional Solicitor Generals of India Which of the statements given above is/are correct ?

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Q.737Miscellaneous2024Easy

Consider the following statements : First Indian Military Heritage festival was inaugurated in October 2023 in Pune First Green Hydrogen Fuel Cell Bus was flagged off in India in Bangalore South Africa chaired the 15th BRICS Summit held in 2023 Viksit Bharat Sankalp Yatra was flagged off in 2023 from Jharkhand How many of the above statements is/are correct ?

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Q.738Miscellaneous2024Easy

Which of the following Committees does NOT consist of Members from the Upper House of the Parliament ? 1.Public Accounts Committee 2.Estimates Committee 3.Committee on Public Undertakings Select the answer using the code given below :

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UPSC Prelims Miscellaneous Questions

If two random variables X and Y are connected by relation 2X - 3Y = 4 and X follows Binomial distribution with parameters n = 10 and p = 1/2, then what is the variance of Y?

Let A and B be two events such that P(AUB) ≥ 0-75 and 0-125 < P(ANB) 0-375. What is the minimum value of P(A) + P(B)?

Let f(x) and g(x) be two functions such that g(x)=x- 1/x and f o g(x) = x^3 - 1/x^3 What is f'(x) equal to?

Freedom Fighter Kanaklata Barua sacrificed her life while participating in

Consider the following statements: 1.f'(e) = 1/e 2.f(x) attains local minimum value at x = e 3.A local minimum value of f(x) is e Which of the statements given above are correct?

Where is the Coriolis Effect the largest ?

Let f(x) and g(x) be two functions such that g(x)=x- 1/x and f o g(x) = x^3 - 1/x^3 What is g(f(x) - 3x) equal to?

A bag contains 5 black and 4 white balls. A man selects two balls at random. What is the probability that both of these are of the same colour?

Which one of the following statements is NOT correct about NATO ?

In January 2024, India has entered into a bilateral agreement through which it will provide grant assistance to a country to construct a 20 feet Bailey bridge. Identify the country.

In the passing of a Money Bill, the Rajya Sabha has limited powers in that it shall return the Bill, with or without any recommendation, within the stipulated time of

Which of the following statements with regard to Article 19(1) of the Constitution of India is/are correct ? 1.Freedoms under this Article are not absolute 2.Reasonable restrictions can be imposed on the exercise of freedoms under this Article Select the answer using the code given below :

A differentiable function f(x) has a local maximum at x = 0. Let y = 2f(x) + ax – b. The function y has a relative maxima at x = 0 for

Which one among the following Joint Military Exercises was NOT conducted between India and USA ?

Which of the following Committees does NOT consist of Members from the Upper House of the Parliament ? 1.Public Accounts Committee 2.Estimates Committee 3.Committee on Public Undertakings Select the answer using the code given below :

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