RAS 2013 II — Previous Year Questions with Answers

All pencils are pens. All pens are erasers. (Syllogism — identify valid conclusions.)

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Find the discrepancy in the sequence: 1, 2, 4, 7, 28, 93, 198, 205.

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Count the number of squares in the given figure.

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Find the odd one out: 17, 27, 37, 43, 67.

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Two trains of lengths 100m and 150m are running towards each other at 36 km/hr and 45 km/hr respectively. In how many seconds will they cross each other if they are 125m apart?

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Two numbers are in the ratio 3:4 and their GCF is 4. Find their LCM.

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Two dice are thrown simultaneously. What is the probability that the sum of the numbers on the dice is not 8?

• A. 1/6 ✓ Correct
• B. 5/36
• C. 7/36
• D. 1/12

Answer: A

Define sampling frame.

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In a circle with centre O, angle AOC = 100°. Find the ratio of arc ADC to arc ABC.

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In a moderately symmetric distribution, the difference between mode and median is 28. Find the difference between median and mean.

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Hospital Z is the only hospital in the area. (Identify which assumptions are implicit in this statement and justify your answer — five sub-parts.)

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Write a note on correlation coefficient.

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Find the product of the series: (1 − 1/4)(1 − 1/9)(1 − 1/16) ... (1 − 1/900).

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Find the remainder when [1001^25 + 1002^25 + 1003^25 + ... + 1025^25] is divided by 25.

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In a right triangle PRQ, RS is perpendicular to QP. QR = 5 cm and RP = 12 cm. Find RS, QS and PS.

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In what time will ₹25,600 amount to ₹62,500 at 25/2% per annum compound interest?

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In a class of more than 90 students, all students play at least one of four games: Cricket, Football, Hockey, and Tennis. (Five sub-questions based on a data table about students playing these games.)

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In a matrix pattern, cells A2, C4, E6 are filled with specific values; G3, I5, [?] follow a pattern; M5, O9, Q14 are also given. Find the missing value.

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All the six members of a family A, B, C, D, E and F are travelling together. B is the son of C but C is not the mother of B. A and C are a married couple. E is the brother of C. D is the daughter of A. F is the brother of B. Answer the following questions: (i) How many male members are there in the family? (ii) Who is the mother of B? (iii) How many children does A have? (iv) How many brothers does D have? (v) Identify the names of females in the family.

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Six lectures are to be delivered on seven days (Monday to Sunday) with one day having no lecture. (Five sub-questions based on a scheduling puzzle with given constraints.)

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A pie chart shows the monthly expenditure of a family on various heads. (Five sub-questions based on the pie chart data.)

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Solve the following: (1) The perimeter of an isosceles triangle is 544 cm. If the base is 3/8 of one of the equal sides, find the equal side. (2) Coins of denominations Re. 1, 50 paise and 25 paise are in the ratio 5:6:8 and their total value is ₹210. Find the number of each type of coin. (3) An army of 36,562 soldiers is arranged in a square formation. Find the number left out after the square is formed. (4) A takes 50% more time than B to do a certain work. If together they can do it in 18 days, how many days will each take to do the work alone?

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What is Cyber Warfare?

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What are Quantum dots?

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What is Spring / Vernal Equinox?

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Write about the applications of Cloning.

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Why are convex mirrors used as rear-view mirrors in vehicles?

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Define isotopes. Give two examples.

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Which scientific discoveries earned Nobel Prizes for C.V. Raman and Hargovind Khurana?

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What are the causes of acid rain?

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Write the names of any two greenhouse gases.

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Write two differences between Renewable and Non-Renewable sources of energy.

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Write about the sources of Vitamin A and the deficiency diseases caused by its absence.

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What is Vulcanization of Rubber? Describe the process.

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What is aqua regia? Write about its preparation and uses.

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What is Blood Pressure? Write its normal range and the instrument used to measure it.

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Describe the technologies used for Biodiversity propagation and genome conservation.

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Write about biosensors and biochips and their applications in information storage, medicine and surgery.

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Write about genetically modified crops with special reference to Indian examples.

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Write about the properties and uses of Perfluorocarbons (PFC).

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Discuss the role of narco-analysis, brain mapping and DNA barcoding in Forensic Science.

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Discuss the non-conventional energy sources with special reference to Rajasthan.

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Discuss the use of Information Technology in e-governance, e-commerce and international diplomacy. OR Prepare a "vision document" for the development of forestry, animal husbandry and Information Technology in Rajasthan.

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