UPSC Prelims Questions

Q.721Miscellaneous2024Easy

Let X be a matrix of order 3×3, Y be a matrix of order 2×3 and Z be a matrix of order 3×2. Which of the following statements are correct? I. Z(YX) is defined and is a square matrix of order 3. II. Y(XZ) is defined and is a square matrix of order 2. III. X(YZ) is not defined. Select the answer using the code given below.

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Q.722Miscellaneous2024Easy

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.723Miscellaneous2024Easy

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.724Miscellaneous2024Easy

From data (-4, 1), (-1, 2), (2, 7) and (3, 1), the regression line of y on x is obtained as y = a + bx, then what is the value of 2a + 15b?

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Q.725Miscellaneous2024Easy

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.726Miscellaneous2024Easy

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.727Miscellaneous2024Easy

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.728Miscellaneous2024Easy

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.729Miscellaneous2024Easy

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.730Miscellaneous2024Easy

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

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Q.731Miscellaneous2024Easy

Freedom Fighter Kanaklata Barua sacrificed her life while participating in

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Q.732Miscellaneous2024Easy

Where is the Coriolis Effect the largest ?

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Q.733Miscellaneous2024Easy

Consider the following statements : 1.India has secured 10th rank in International Shipment category in World Bank’s Logistics Performance Index Report–2023 2.Global Maritime India Summit–2023 was held in Vishakhapatnam 3.“Maritime Amrit Kaal Vision 2047” was launched during Global Maritime India Summit–2023 How many of the above statements is/are correct ?

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Q.734Miscellaneous2024Easy

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.735Miscellaneous2024Easy

Which of the following is NOT a part of the five principles enshrined in the ‘Panchsheel’ agreement signed by India and China in 1954 ?

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Q.736Miscellaneous2024Easy

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.737Miscellaneous2024Easy

If a, b, c are in HP, then what is b - 1/a + b - 1/c equal to?

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Q.738Miscellaneous2024Easy

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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UPSC Prelims Questions

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?

From data (-4, 1), (-1, 2), (2, 7) and (3, 1), the regression line of y on x is obtained as y = a + bx, then what is the value of 2a + 15b?

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 :

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?

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?

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?

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.

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

Freedom Fighter Kanaklata Barua sacrificed her life while participating in

Where is the Coriolis Effect the largest ?

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 is NOT a part of the five principles enshrined in the ‘Panchsheel’ agreement signed by India and China in 1954 ?

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?

If a, b, c are in HP, then what is b - 1/a + b - 1/c equal to?

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