InterviewSolution
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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
A certain number of boys and girls can be seated in a row such that no two girls are together in 1440 ways. If one more boy joins them, the number of ways in which they can be seated in a row such that no two girls are together increases.(A) 4-fold (B) 6-fold (C) 8-fold (D) 10-fold |
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Answer» Correct option: (D) 10-fold Explanation: Let there be m boys and n girls, then the number of ways in which no two girls sit together = m! x m+1Pn = 1440 = 4! x 5P3 => m = 4, n = 3 Therefore the number of the ways in which 5 boys (4 + 1) & 3 girls can be seated in a row such that no two girls are together = 5! x 6 x 5 x 4 = 10 x 1440 = 10 fold |
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| 2. |
If all nuclear reaction in the sun now were to suddenly stop for ever, then(A) Distances between planets and sun would decrease(B) Angular momentum of planets would increase(C) Inner planets will be engulfed by the sun(D) Speed of rotation of the sun would increase |
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Answer» (D) Speed of rotation of the sun would increase |
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| 3. |
How many circles can be drawn in the plane such that any two of them touch each other at the same fixed point.(A) Two (B) Three (C) Four (D) Infinitely many |
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Answer» Correct option: (D) Infinitely many Explanation: Infinite circles can be drawn touching a line at a fixed point so that any two of then touches each other. |
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| 4. |
3D images of moon were obtained by(A) Luna mission (B) Apollo mission(C) Hubble Space Telescope (D) Chandrayaan mission |
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Answer» Correct option: (b) Apollo mission Explanation: Apollo mission took several photographs that marged to form a 3-D image. 3-D images requires red blue or red-green glasses. This mission uses this technology and prepares 3-D images. |
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| 5. |
Let z be a complex number such that |z + 2| + |z – 3| = 5. Then the locus of z is :(A) and ellipse (B) a straight line segment(C) a circle (D) a hyperbola |
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Answer» Correct option: (B) a straight line segment Explanation: A(–2), B(3), P(z) |z + 2| + |z – 3| = 5 => PA + PB = AB => locus is line segment AB |
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| 6. |
Which of the following best describes what the microwave background radiation is ?(A) The particles that move throughout the Universe that were created during the Big Bang and thrown out(b) Radiation that is present everywhere in the Universe that came from time when light first was able to travel through the early universe without being absorbed. (C) The shock wave or echo that travels throughout the Universe that marks the event we call the Big Bang.(D) The total light we observe when we look at the black body curve for all the wavelengths of radiation given off by all the stars in the Universe. |
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Answer» Correct option: (c) The shockwave or echo that travels throughout the Universe that marks the event we call the Big Bang. Explanation: Microwave background radiation is a form of electromagnetic radiation that fills the entire universe. It is prediction of Big Bang theory. In the theory the early universe was made up of a hot plasma of photons, electrons and baryons. |
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