# Operating System

Aptitude Test TCS-1

Awareness Development Initiative is a root of which of the

, where b is a rational number, then

2. From the top of a tower of height 180 m the angles of depression of two objects on either sides of the tower are 30° and 45°. Find the distance between the two objects. a) b) c) d) 3. A amount of 20,900 is taken as loan at 9% p.a., compound interest. If it is to be repaid in 2 equal annual instalments, what is the value of each instalment (in rupees)? a)र10,450 b) र10,000 c) र12,000 d) र11,881 4. Bronze is an alloy of copper and tin in the ratio of 5 : 1. Brass an alloy of copper and zinc, consists of these elements in the ratio of 2 : 3. A new alloy is formed by melting bronze and brass, such that the contribution of copper in the new alloy is equal from brass and bronze. By what percent is the quantity of zinc present, more than the quantity of tin, in the new alloy? a)750% b) 650% c) 50% d) 325% 5. The distance between two stations A and B is 180 km. From a station C, which is between A and B, two cars x and y started simultaneously with speeds of 11 kmph and 13 kmph towards A and B respectively. After reaching their respective destinations, they immediately turn back towards C. When car x crosses the C and travels an additional 5 km, it crosses the car y. What is the distance between the points A and C? a)120 km b) 150 km c) 80 km d) 70 km 6. Gayatri Books and Binding works prepares 24 cm ´ 24 cm drawing sheets. Ramu, a worker in the unit is supposed to pack less than 250 sheets per hour into bundles. If he packs 6 sheets less per bundle, then he can pack 12 bundles more per hour. Find the number of sheets he packs per hour, if he packs at least 15 bundles per hour. a)224 b) 204 c) 228 d) 214

7. Four digit numbers are formed using the digits 0 to 4 without repetition. The probability that a number thus formed is divisible 3 is a)3/8 b)1/2 c) 5/8 d) 3/4 8. Sum of first 9 terms of an arithmetic progression is 54. What is the sum of first 10 terms if the first term and the common difference are positive integers? a)60 b) 66 c) 63 d) 65 9. If the line 3x - 4y + 12 = 0 meets the coordinate axes in A and B respectively, then find the area of the origin). a)12 b) 8 c) 6 d) 9

10. Three circles touch each other externally. When the centres of the circles are joined, a triangle of sides 19 cm, 20 cm and 21 cm is formed. Find the radius of the smallest circle. a)9 cm b) 10 cm c) 11 cm d) 12 cm 11. On Kya Kya island, any person consuming energy has to pay a fixed charge (irrespective of the energy he consumes) and also an amount proportional to the energy (in kwh) consumed. But if one consumes more than 60 kwh per month, one has to additionally pay an amount proportional to the square root of energy consumed (in kwh). If a person pays र400 for 50 kwh, र360 for 30 kwh and र498 for 81 kwh, how much should he pay for 100 kwh?

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Advait a)र588 b) र540 c) र574 d) र563

Aptitude Test TCS-1

Awareness Development Initiative

Directions for questions 12 and 13: These questions are based on the following data Three friends P, Q and R were playing a game of cards. At the beginning of the game, P and Q together had 50% more money than R. Q and R together had 3 times as much as P had. By the end of the game P and Q together had 3 times as much as R had, and P and R together had 50% more than Q.P gainedर2,000 by the end of the game. 12. What was the total money involved? a)र20,000 b) र18,000 c) र15,000

d) र24,000

Three friends P, Q and R were playing a game of cards. At the beginning of the game, P and Q together had 50% more money than R. Q and R together had 3 times as much as P had. By the end of the game P and Q together had 3 times as much as R had, and P and R together had 50% more than Q.P gainedर2,000 by the end of the game. 13. What is the percentage loss or gain for P? a)20% loss b)...

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