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Prelims

UPSC Prelims Questions

Practice UPSC Prelims MCQs by subject and year. Free questions with explanations for focused revision.

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Q.10423·Miscellaneous·2015·Easy

Which one of the following is the smallest unit showing the properties of life such as capacity for metabolism, response to the environment, growth and reproduction?

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Q.10424·Miscellaneous·2015·Easy

Consider the following statements: 1.The function attains local minima at x = -2 and x = 3. 2.The function increases in the interval (-2, 0). Which of the above statements is/are correct?

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Q.10425·Miscellaneous·2015·Easy

Consider the parametric equation x = a(1 - t²) / (1 + t²), y = 2at / (1 + t²) What does the equation represent?

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Q.10426·Miscellaneous·2015·Easy

In plants, which one of the following gases is released during Photosynthesis?

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Q.10427·Miscellaneous·2015·Easy

Consider the parametric equation x = a(1 - t²) / (1 + t²), y = 2at / (1 + t²) What is dy/dx equal to?

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Q.10428·Miscellaneous·2015·Easy

Match List I with List II and select the correct answer using the code given below the Lists: List I (Physical quantity) List II (Unit) A. Distance 1. Mole B. Amount of material 2. Coulomb C. Amount of electrical charge 3. Light year D. Energy 4. Watt hour

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Q.10429·Miscellaneous·2015·Easy

Consider the following statements: 1. The general solution of dy/dx = f(x) + x is of the form y = g(x) + c, where c is an arbitrary constant. 2. The degree of (dy/dx)² = f(x) is 2. Which of the above statements is/are correct?

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Q.10430·Miscellaneous·2015·Easy

What is the value of A? Given that d/dx [ (1 + x² + x⁴) / (1 + x + x²) ] = Ax + B.

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Q.10431·Miscellaneous·2015·Easy

What is the value of B? Given that d/dx [ (1 + x² + x⁴) / (1 + x + x²) ] = Ax + B.

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Q.10432·Miscellaneous·2015·Easy

What is the value of A? Given that lim (x→∞) [ (2 + x²) / (1 + x) - Ax - B ] = 3.

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Q.10433·Miscellaneous·2015·Easy

Given that lim (x→∞) [ (2 + x²) / (1 + x) - Ax - B ] = 3. What is the value of B?

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Q.10434·Miscellaneous·2015·Easy

A ray of light when refracted suffers change in velocity. In this context, which one among the following statements is correct?

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Q.10435·Miscellaneous·2015·Easy

What is the solution of the differential equation sin(dy/dx) - a = 0?

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Q.10436·Miscellaneous·2015·Easy

The adjacent sides AB and AC of a triangle ABC are represented by the vectors -2i + 3j + 2k and -4i + 5j + 2k respectively. The area of the triangle ABC is

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Q.10437·Miscellaneous·2015·Easy

A force F = 3i + 4j - 3k is applied at the point P, whose position vector is r = 2i - 2j - 3k. What is the magnitude of the moment of the force about the origin?

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Q.10438·Miscellaneous·2015·Easy

Which one among the following does not wet the walls of the glass vessel in which it is kept?

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Q.10439·Miscellaneous·2015·Easy

An object is placed 10 cm in front of a convex lens of focal length 15 cm. The image produced will be

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Q.10440·Miscellaneous·2015·Easy

Why is Graphite used in electrolytic cells ?

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