Ericsson sample placement papers Aptitude test: (75 mins) 1. A shop stores x kg of rice. The first customer buys half this amount plus half a kg of rice. The second customer buys half the remaining amount plus half a kg of rice. Then the third customer also buys half the remaining amount plus half a kg of rice. Thereafter, no rice is left in the shop. Which of the following best describes the value of x? (1) 2 ≤ x ≤ 6 (2) 5 ≤ x ≤ 8 (3) 9 ≤ x ≤ 12 (4) 11≤ x ≤ 14 (5) 13 ≤ x ≤ 18 Directions for Questions 2 and 3: Let f(x) = ax2 + bx + c, where a, b and c are certain constants and a ≠ 0. It is known that f (5) = −3f (2) and that 3 is a root of f(x) = 0. 2. What is the other root of f(x) = 0? (1) −7 (2) − 4 (3) 2 (4) 6 (5) cannot be determined 3. What is the value of a + b + c? (1) 9 (2) 14 (3) 13 (4) 37 (5) cannot be determined 4. The number of common terms in the two sequences 17, 21, 25, … , 417 and 16, 21, 26, … , 466 is (1) 78 (2) 19 (3) 20 (4) 77 (5) 22 5. Neelam rides her bicycle from her house at A to her office at B, taking the shortest path. Then the number of possible shortest paths that she can choose is (1) 60 (2) 75 (3) 45 (4) 90 (5) 72 6. Neelam rides her bicycle from her house at A to her club at C, via B taking the shortest path. Then the number of possible shortest paths that she can choose is (1) 1170 (2) 630 (3) 792 (4) 1200 (5) 936 7. The integers 1, 2, …, 40 are written on a blackboard. The following operation is then repeated 39 times: In each repetition, any two numbers, say a and b, currently on the blackboard are erased and a new number a + b – 1 is written. What will be the number left on the board at the end? (1) 820 (2) 821 (3) 781 (4) 819 (5) 780 8. Suppose, the speed of any positive integer n is defined as follows: seed(n) = n, if n < 10 = seed(s(n)), otherwise, where s(n) indicates the sum of digits of n. For example, seed(7) = 7, seed(248) = seed(2 + 4 + 8) = seed(14) = seed(1 + 4) = seed(5) = 5 etc. How many positive integers n, such that n < 500, will have seed(n) = 9? (1) 39 (2) 72 (3) 81 (4) 108 (5) 55 9. In a triangle ABC, the lengths of the sides AB and AC equal 17.5 cm and 9 cm respectively. Let D be a point on the line segment BC such that AD is perpendicular to BC. If AD = 3 cm, then what is the radius (in cm) of the circle circumscribing the triangle ABC? (1) 17.05 (2) 27.85 (3) 22.45 (4) 32.25 (5) 26.25 10. What are the last two digits of 72008? (1) 21 (2) 61 (3)01 (4)41 (5)81 11. Consider obtuse-angled triangles with sides 8 cm, 15 cm and x cm. If x is an integer, then how many such triangles exist? (1) 5 (2) 21 (3) 10 (4) 15 (5) 14 12. How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4, if repetition of digits is allowed? (1) 499 (2) 500 (3) 375 (4) 376 (5) 501 15. What is the number of distinct terms in the expansion of (a +b + c)20? (1) 231 (2) 253 (3) 242 (4) 210 (5) 228 13. Three consecutive positive integers are raised to the first, second and third powers respectively and then added. The sum so obtained is a perfect square whose square root equals the total of the three original integers. Which of the following best describes the minimum, say m, of these three integers? (1) 1 ≤ m ≤ 3 (2) 4 ≤ m ≤ 6 (3) 7 ≤ m ≤ 9 (4) 10 ≤ m ≤ 12 (5) 13 ≤ m ≤ 15 14. Rahim plans to drive from city A to station C, at the speed of 70 km per hour, to catch a train arriving there from B. He must reach C at least 15 minutes before the arrival of the train. The train leaves B, located 500 km south of A, at 8:00 am and travels at a speed of 50 km per hour. It is known that C is located between west and northwest of B, with BC at 60° to AB. Also, C is located between south and southwest of A with AC at 30° to AB. The latest time by which Rahim must leave A and still catch the train is closest to (1) 6:15 am (2) 6:30 am (3) 6:45 am (4) 7:00 am (5) 7:15 am Directions for Questions 15 and 16: Five horses, Red, White, Grey, Black and Spotted participated in a race. As per the rules of the race, the persons betting on the winning horse get four times the bet amount and those betting on the horse that came in second get thrice the bet amount. Moreover, the bet amount is returned to those betting on the horse that came in third, and the rest lose the bet amount. Raju bets Rs. 3000, Rs. 2000 Rs. 1000 on Red, White and Black horses respectively and ends up with no profit and no loss. 15. Which of the following cannot be true? (1) At least two horses finished before Spotted (2) Red finished last (3) There were three horses between Black and Spotted (4) There were three horses between White and Red (5) Grey came in second 16. Suppose, in addition, it is known that Grey came in fourth. Then which of the following cannot be true? (1) Spotted came in first (2) Red finished last (3) White came in second (4) Black came in second (5) There was one horse between Black and White Directions for Questions 17 and 18: Marks (1) if Q can be answered from A alone but not from B alone. Marks (2) if Q can be answered from B alone but not from A alone. Marks (3) if Q can be answered from A alone as well as from B alone. Marks (4) if Q can be answered from A and B together but not from any of them alone. Marks (5) if Q cannot be answered even from A and B together. In a single elimination tournament, any player is eliminated with a single loss. The tournament is played in multiple rounds subject to the following rules: (a) If the number of players, say n, in any round is even, then the players are grouped in to n/2 pairs. The players in each pair play a match against each other and the winner moves on to the next round. (b) If the number of players, say n, in any round is odd, then one of them is given a bye, that is, he automatically moves on to the next round. The remaining (n − 1) players are grouped into (n − 1)/2 pairs. The players in each pair play a match against each other and the winners moves on to the next round. No player gets more than one bye in the entire tournament. Thus, if n is even, then n/2 players move on to the next round while if n is odd, then (n + 1)/2 players move on to the next round. The process is continued till the final round, which obviously is played between two players. The winner in the final round is the champion of the tournament. 17. Q: What is the number of matches played by the champion? A: The entry list for the tournament consists of 83 players. B: The champion received one bye. 18. Q: If the number of players, say n, in the first round was between 65 and 128, then what is the exact value of n? A: Exactly one player received a bye in the entire tournament. B: One player received a bye while moving on to the fourth round from third round Directions for Questions 19 to 23: Answer the following questions based on the information given below: Abdul, Bikram and Chetan are three professional traders who trade in shares of a company XYZ Ltd. Abdul follows the strategy of buying at the opening of the day at 10 am and selling the whole lot at the close of the day at 3 pm. Bikram follows the strategy of buying at hourly intervals: 10 am , 11 am, 12 noon, 1 pm and 2 pm, and selling the whole lot at the close of the day. Further, he buys an equal number of shares in each purchase. Chetan follows a similar pattern as Bikram but his strategy is somewhat different. Chetan’s total investment amount is divided equally among his purchases. The profit or loss made by each investor is the difference between the sale value at the close of the day less the investment in purchase. The “return” for each investor is defined as the ratio of the profit or loss to the investment amount expressed as a percentage. 19. On a “boom” day the price of XYZ Ltd. keeps rising throughout the day and peaks at the close of the day. Which trader got the minimum return on that day? (1) Bikram (2) Chetan (3) Abdul (4) Abdul or Chetan (5) cannot be determined 20. On a day of fluctuating market prices, the share price of XYZ Ltd. ends with a gain, i.e., it is higher at the close of the day compared to the opening value. Which trader got the maximum return on that day? (1) Bikram (2) Chetan (3) Abdul (4) Bikram or Chetan (5) cannot be determined 21. Which one of the following statements is always true? (1) Abdul will not be the one with the minimum return (2) Return for Chetan will be higher than that of Bikram (3) Return for Bikram will be higher than that of Chetan (4) Return for Chetan cannot be higher than that of Abdul (5) none of the above One day, two other traders, Dane and Emily joined Abdul , Bikram and Chetan for trading in the shares of XYZ Ltd. Dane followed a strategy of buying equal numbers of shares at 10 am, 11 am and 12 noon, and selling the same numbers at 1 pm, 2 pm and 3 pm. Emily, on the other hand, followed the strategy of buying shares using all her money at 10 am and selling all of them at 12 noon and again buying the shares for all the money at 1 pm and again selling all of them at the close of the day at 3 pm. At the close of the day the following was observed: i. Abdul lost money in the transactions. ii. Both Dane and Emily made profits. iii. There was an increase in share price during the closing hour compared to the price at 2 pm. iv. Share price at 12 noon was lower than the opening price. 22. Which of the following is necessarily false? (1) Share price was at its lowest at 2 pm (2) Share price was at its lowest at 11 am (3) Share price at 1 pm was higher than the share price at 2 pm (4) Share price at 1 pm was higher than the share price at 12 noon (5) none of the above

23. Share price was at its highest at (1) 10 am (2) 11 am (3) 12 noon (4) 1 pm (5) cannot be determined Directions for Questions 24 to 26: Answer the following questions based on the statements given below: (i) There are three houses on each side of the road. (ii) These six houses are labelled as P, Q, R, S, T and U. (iii) The houses are of different colours, namely, Red, Blue, Green, Orange, Yellow and White. (iv) The houses are of different heights. (v) T, the tallest house, is exactly opposite to the Red coloured house. (vi) The shortest house is exactly opposite to the Green coloured house. (vii) U, the Orange coloured house, is located between P and S. (viii) R, the Yellow coloured house, is exactly opposite to P. (ix) Q, the Green coloured house, is exactly opposite to U. (x) P, the White coloured house, is taller than R, but shorter than S and Q. 24. What is the colour of the tallest house? (1) Red (2) Blue (3) Green (4) Yellow (5) none of these 25. What is the colour of the house diagonally opposite to the Yellow coloured house? (1) White (2) Blue (3) Green (4) Red (5) none of these 26. Which is the second tallest house? (1) P (2) S (3) Q (4) R (5) cannot be determined Directions for Questions 26 to 29: Answer the following questions based on the information given below: In a sports event, six teams (A, B, C, D, E and F) are competing against each other. Matches are scheduled in two stages. Each team plays three matches in Stage-I and two matches in Stage-II. No team plays against the same team more than once in the event. No ties are permitted in any of the matches. The observations after the completion of Stage-I and Stage-II are as given below. Stage-I: One team won all the three matches. Two teams lost all the matches. D lost to A but won against C and F. E lost to B but won against C and F. B lost at least one match. F did not play against the top team of Stage-I. Stage-II: The leader of Stage-I lost the next two matches. Of the two teams at the bottom after Stage-I, one team won both matches, while the other lost both matches. One more team lost both matches in Stage-II. 26. The team(s) with the most wins in the event is (are): (1) A (2) A & C (3) F (4) E (5) B & E 27. The two teams that defeated the leader of Stage-I are: (1) F & D (2) E & F (3) B & D (4) E & D (5) F & D 28. The only team(s) that won both the matches in Stage-II is (are): (1) B (2) E & F (3) A, E & F (4) B, E & F (5) B & F 29. The teams that won exactly two matches in the event are: (1) A, D & F (2) D & E (3) E & F (4) D, E & F (5) D & F Directions for questions 30 to 33: In each question, there are five sentences. Each sentence has a pair of words that are italicized and highlighted. From the italicized and highlighted words, select the most appropriate words (A or B) to form correct sentences. The sentences are followed by options that indicate the words, which may be selected to correctly complete the set of sentences. From the options given, choose the most appropriate one. 30. Anita wore a beautiful broach (A)/brooch(B) on the lapel of her jacket. If you want to complain about the amenities in your neighbourhood, please meet your councillor(A)/counsellor(B). I would like your advice(A)/advise(B) on which job I should choose. The last scene provided a climactic(A)/climatic(B) ending to the film. Jeans that flair(A)/flare(B) at the bottom are in fashion these days. (1) BABAA (2) BABAB (3) BAAAB (4)ABABA (5) BAABA 31. The cake had lots of currents(A)/currants(B) and nuts in it. If you engage in such exceptional(A)/exceptionable(B) behaviour, I will be forced to punish you. He has the same capacity as an adult to consent(A)/assent(B) to surgical treatment. The minister is obliged(A)/compelled(B) to report regularly to a parliamentary board. His analysis of the situation is far too sanguine(A)/genuine(B). (1) BBABA (2) BBAAA (3) BBBBA (4) ABBAB (5) BABAB 32. She managed to bite back the ironic(A)/caustic(B) retort on the tip of her tongue. He gave an impassioned and valid(A)/cogent(B) plea for judicial reform. I am not adverse(A)/averse(B) to helping out. The coupe(A)/coup(B) broke away as the train climbed the hill. They heard the bells peeling(A)/pealing(B) far and wide. (1) BBABA (2) BBBAB (3) BAABB (4) ABBAA (5) BBBBA 33. We were not successful in defusing(A)/diffusing(B) the Guru’s ideas . The students baited(A)/bated(B) the instructor with irrelevant questions. The hoard(A)/horde(B) rushed into the campus. The prisoner’s interment(A)/internment(B) came to an end with his early release. The hockey team could not deal with his unsociable(A)/unsocial(B) tendencies. (1) BABBA (2) BBABB (3) BABAA (4) ABBAB (5) AABBA Directions for questions 34 to 36: Let A1, A2,... An be the n points on the straight-line y = px + q. The coordinates of Ak is (xk, yk), where k = 1, 2, ... n such that x1, x2, ... xn are in arithmetic progression. The coordinates of A2 is (2, -2) and A24 is (68, 31). 34. The y-ordinates of A8 is (1) 13 (2) 10 (3) 7 (4) 5.5 (5) None of the above 35. The number of point(s) satisfying the above mentioned characteristics and not in the first quadrant is/are (1) 1 (2) 2 (3) 3 (4) 7 (5) None of the above 36. The operation (x) is defined by (i) (1) = 2 (ii)(x + y) = (x).(y) for all positive integers x and y. If