RAS 2016 II — Previous Year Questions with Answers

Find the number of 5's in the following number chain such that sum of two digits before it is not greater than the sum of two digits that follows it: 24593587652150503503

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A particle can complete a circular round in one minute, but it moves half round clockwise and one-third round anticlockwise successively. Find the time in which the particle will complete one round.

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Find the smallest integer greater than 1 which is simultaneously a square and a cube of certain integers.

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In a right angle triangle ABC, right angled at B, prove that (AB)³ + (BC)³ < (AC)³

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What is the variance of first n natural numbers?

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If A, B and C are three sets such that none is a subset of other. Use the Venn Diagram to find (A – C) ∩ (C – B).

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If "SHANTI" is coded as A981A4B09, "FORUM" is coded as 6A5A8B1A3 in a certain code language, then how will "BUILD" be coded in the same language?

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Find the area of the shaded portion in the following figure. [4" × 4" square with inscribed circle and diagonals, with 1" margins]

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In an examination it is required to get 36% of maximum marks to pass. A student got 94 marks and was declared fail by 14 marks. Calculate the maximum marks.

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An electronic device makes a beep after every 60 seconds. Another device makes a beep after every 62 seconds. They beep together at 10 a.m. for the first time, then find the time when they beep together at the earliest.

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J, K, L, M, N and O are the members of a family. Professions of all members are different. If: (i) Family has two married couples. (ii) 'M' is a doctor and his wife is an engineer. (iii) 'J' is grand daughter of 'O' and sister of 'L'. (iv) 'K' is grand father of 'L' and is married to a teacher. (v) 'L' is a clerk and his mother is 'N'. Then, who is the wife of 'M'?

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If tan θ · (x sin θ)/(1 – x cos φ) · tan φ = (y sin θ)/(1 – y cos θ), then prove sin θ/sin φ = x/y.

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N is a three digit number that is a multiple of 7, what is the probability that it will be a multiple of 5 also?

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What is the largest integer not exceeding 1000 which leave remainder 3 when divided by 5, remainder 5 when divided by 7, and remainder 7 when divided by 9?

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Mr. X invested money in two schemes A and B offering compound interest 5% and 10% per annum respectively. If the total amount of interest accrued through both schemes together in two years was ₹ 2075 and the total amount invested was ₹ 15,000. Find the amount invested in scheme A.

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Two taps A and B can fill a tank in 5 hrs and 20 hrs respectively alone. If both taps are opened then it takes 30 minutes more to fill the tank completely due to a hole in the tank. If tank is completely filled then how much time (in hrs) will it take to get tank empty due to drain water from hole?

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In an election 10% of the voters on the voter's list did not cast their votes and 60 voters cast their ballot papers blank. There were only two candidates. The winner was supported by 47% of all voters in the list and got 308 votes more than his rival. Find the number of voters on the voter's list.

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A light and a heavy body have same momentum. Which one will have greater kinetic energy?

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How does the density of nuclear matter depends on size of nucleus? Does the density of atom also follows the same rule?

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What do you understand by "Joule-Thomson effect"?

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Write the name of causal organism and vector of 'Dengue fever'.

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What are umbrella species? Give an example of umbrella species.

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Write Kepler's law of planetary motion.

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The concentration of Hydrogen ion in a sample of soft drink is 4-0 × 10⁻³ M. What is its pH? (log₁₀2 = 0.301)

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Write a note on genetically engineered insulin.

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Enlist various trophic levels in an ecosystem and give suitable example of each trophic level.

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What do you understand with communication system? Give block diagram of communication system and explain its elements.

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Distinguish between conductor, semi-conductor and insulator on the basis of band theory of solid.

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What are chromosomal disorders in human beings? Write causes and symptoms of any two such disorders.

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Discuss the Breed Improvement Programme undertaken by the Department of Animal Husbandry, Government of Rajasthan.

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What are the meteoric lakes?

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What is Epicentre?

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Which areas of India receive winter rain?

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Write the names of major non-metallic minerals of Rajasthan.

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What are the male and female literacy rates in Rajasthan as per Census-2011?

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Explain in brief the location, names and importance of the great lakes of North America.

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Describe the 'Bshw' type of climate of India.

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Discuss the impact of La-Nina on Indian Monsoon.

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Discuss in brief the types and distribution of building stones in Rajasthan.

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Write about the distribution and industrial uses of lignite coal in Rajasthan.

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Explain the divisions of Geological Time Scale.

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Divide coastal plains of India into sub-divisions and explain their characteristics.

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Describe the habitat, economy and society of Bhil tribe in Rajasthan.

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