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INFOMATHS WORK-SHEET-4 (OLD QUESTIONS) TIME, SPEED & DISTANCE 1. A gives B a start of 10 metres in a 100 metre race and still beats him by 1.25 seconds. How long does 9. B take to complete the 100 metre race if A runs at the rate of 10 m/sec? HCU-2012 (a) 8 seconds (b) 10 seconds (c) 16.67 seconds (d) 12.5 seconds 2. At 10 a.m. two trains started traveling toward each other from stations 287 miles apart. They passed each other at 1:30 p.m. the same day. If the average speed of the faster train exceeded the average speed of the slower train by 6 miles per hour, which of the following represents the speed of the faster train, in mile per hour? PU CHD-2012 (A) 38 (B) 40 (C) 44 (D) 48 3. Walking at ¾ of his usual speed, a man is late by 2½ 10. hours. The usual time is : PU CHD-2012 4. 5. 6. (A) 10 hours (B) 7½ hours (C) 15 hours (D) 6½ hours If a man walks at the rate of 4 kmph, he misses a train by only 6 min. However if he walks at the rate of 5 kmph he reaches the station 6 minutes before the arrival of the train. The distance covered by him to 11. reach the station is NIMCET-2012 (a) 4 (b) 7 (c) 9 (d) 5 A culprit was spotted by the police from a distance of 250 m. When the police men started running towards the culprit at a speed of 10 km/h, the culprit also fled. If his speed was 8 km/h, find out how far 12. the culprit had run before he was overpowered. NIMCET-2010 (a) 2 km (b) 1 km (c) 1.5 km (d) 0.8 km Ramesh and Mahesh started walking in the opposite directions from the same point at the speed of 4 km/hr and 6 km/hr respectively. What will be the 13. distance between them after 3 hours? PU CHD-2009 7. 8. (a) 50 km (b) 30 km (c) 40 km (d) 20 km Swarup takes 5 hrs 45 min in walking to a certain place and riding back. He would gained 2 hrs by riding both ways. The time he would take to walk both ways is HCU-2008 (a) 3 hrs 45 min (b) 7 hrs 45 min (c) 7 hrs 30 min (d) 11 hrs 45 min Raju and Ravi wanted to take a vacation. They were debating how they could get to their hotel in the fastest manner. Raju said “We should go by train”. But, Ravi said “No, the train reaches the end of the line halfway to the hotel. We would have to walk the rest of the way. We should bike to the hotel instead.” Raju disagree. So, Ravi biked the whole way to the hotel while Raju took the train for the first half of the journey and walked the remainder. The speed of the train turned out to be four times that of the bike’s speed. The bike’s speed turned out to be two times faster than the walker’s speed. Who got to the hotel first and was early by how much time given that the walking speed is given to be 0.1km/min and the total distance traveled is 16 km? 14. 15. 16. 17. 18. HYDERABAD-2007 (a) Raju by 20 min (b) Ravi by 10 min 1 (c) Both reach at the same time (d) Raju by 30 min A commuter arrives at railway station exactly at 5 PM each evening when his driver meets him and drives him home in his car. One day, he takes an earlier train and arrives at this station at 4 PM and decides to walk home on the same route that his driver takes in the car. On his way back, his driver meets him along the way and drives him home to find that the commuter reached his home 10 minutes earlier than usual. If the driver drives at a constant speed and leaves the house just in time to meet 5 PM train, how long did the commuter walk before he was picked up? HCU-2006 (a) 25 min (b) 35 min (c) 45 min (d) 55 min (e) None of the above Hare and tortoise race each other over 100 m and the hare wins the race by 10m. For the next race, the hare starts 10 m behind the starting line. Which of the following statements is true? HCU-2006 (a) Hare wins the race again (b) Tortoise wins the race (c) Not enough information for a precise answer (d) None of the above. If a man walks at the rate of 4 kmph, he misses a train by only 6 min. However, if he walks at the rate of 5 kmph he reaches the station 6 minutes before the arrival of the train. Find the distance covered by him to reach the station. MCA: NIMCET-2008 (a) 4 (b) 7 (c) 9 (d) 5 A man takes 5 hours 45 min for walking to a certain place and riding back. He could have gained 2 hours by riding both ways. The time he would take to walk both ways is. MCA :NIMCET-2009 (a) 3 hrs. 45 min (b) 7 hrs.30 min (c) 7 hrs. 45 min (d) 11 hrs. 45 min Two trains, one from Bubaneswar to Delhi and the other from Delhi to Bhubaneswar, started simulataneously. After they meet at the midpoint, the trains reached their destinations after 12 hours and 9 hours respectively. The ratio of their speeds is: MCA: KIITEE-2008 (a) 2:3 (b) 3:4 (c) 4:3 (d) 3:2 A train takes 8 secs to pass a person standing on the lengths of parallel sides of train is 36 kmph its length in meters is. MCA: ICET-2007 (a) 80 (c) 90 (c) 110 (d) 115 While climbing a 40 feet tall pole, a monkey ascends 4feet in a single jump, but slips down 2 feet immediately. How many jumps does it require to reach the top of the ploe? MCA : ICET -2005 (a) 10 (b) 2 (c) 20 (d) 19 A is twice as fast as B and B is thrice as fast as C. Distance covered by C in one hour will be covered by A in (in minutes) MCA: ICET -2005 (a) 10 (b) 5 (c) 1/6 (d) 30 One train is traveling at 90 kmph and the other at 15 metres per second. Then, the ratio of their speeds is MCA: ICET -2005 (a) 2 : 5 (b) 3 : 2 (c) 4 : 3 (d) 5 : 3 The train for Kanpur leaves every two and a half hours from New Delhi Railway Station. An announcement was made at the station that the train INFOMATHS/MCA/ARITHMETIC (Preveious year questions) INFOMATHS 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. for Kanpur had left 40 minutes ago and the next train will leave at 18:00 hrs. At what time was the announcement made? MCA: JNU -2008 (a) 15:30 hrs (b) 17:10 hrs (c) 16:00 hrs (d) none of the above I have to be at a place at 2 p.m. I find that if I walk at 4 km an hour I can reach the place at 2:05 pm and if at 5 km an hour, I can reach the place at 1:50 p.m. How far I have to go? PUNE : MCA PAPER -2007 (a) 4km (b) 5km (c) 6km (d) 1km I had 18 km to reach a place X After walking a few km at 4 km per hour I changed my speed to 3 km per hour. If I took 5 hours to reach X at what distance from X,I changed my speed? PUNE -2007 (a) 9km (b) 3km (c) 12km (d) 6km A man has to travel from a point P to a point Q, 256 km apart. He travels half the distance on day one, half of the remaining distance on day two, half of the remaining distance on day three and so on. He reaches exactly at the point Q IIT : MCA PAPER -2006 (a) in 8 days (b) in 16 days (c) in 24 days (d) never A distance is covered in 2 hours 45 minutes at 4 km/hr. How much time will be taken to cover it at 16.5 km/hr KARNATAKA PG-CET : PAPER-2006 (a) 42 minutes (b) 40 minutes (c) 54 minutes (d) 28 minutes A wheel makes 1000 revolutions in covering the distance of 88 km. The diameter of the wheel is KARNATAKA PG-CET : PAPER-2006 (a) 26 meters (b) 42 meters (c) 28 meters (d) 18 meters A car completes a certain journey in 8 hours. It covers half the distance at 40 km/hr and rest at 60 km/hr. The length of the journey is KARNATAKA PG-CET : PAPER-2006 (a) 340 km (b) 412 km (c) 384 km (d) 364 km A train 700 meter long is running at 72 km/hr. If it crosses a tunnel in 1 minute, the length of the tunnel is TANCET : MCA PAPER -2004 (a) 500m (b) 700m (c) 1200m (d) 1900m If a light flashes every 6 seconds, how many times will it flash in 3/4 of an hour? TANCET : MCA PAPER -2004 (a) 225 (b) 250 (c) 360 (d) 450 Two cars start towards each other from points 400 miles apart. One car travels of 40 miles and hour and the other travels at 35 miles an hour. How far apart, in miles will the two cars be after 4 hours of continuous traveling? TANCET : MCA PAPER -2004 (a) 20 (b) 40 (c) 75 (d) 100 How long would a car traveling at 30 miles per hour take to cover a distance of 44 feet? (1 mile = 5280 feet) TANCET : MCA PAPER -2004 (a) 1 second (b) 2.64 second (c) 1 minute (d) 7.7 minutes Nancy would like to complete all her homework before 10 P.M. in order to watch an important television programme. She has 40 minute assignments in each of the five prepared subjects. 30. 31. 32. 33. 34. What is the latest time at which she can start and still complete her homework in time for the programme? TANCET : MCA PAPER -2004 (a) 6.30 P.M. (b) 6.40 P.M. (c) 7.10 P.M. (d) 7.20 P.M. City X is 200 miles east of city Y and city Z is 150 miles directly north of city Y. What is the shortest distance between X and Z? TANCET : MCA PAPER -2004 (a) 507 (b) 175 (c) 200 (d) 250 A man covers ‘d’ miles in hours. At that rate how long (in hours) will it take him to cover ‘m’ miles? TANCET : MCA PAPER -2004 md mt dt (a) dmt (b) (c) (d) t d m One wheel rotates once every 7 minutes, and another rotates once every 5 minutes. How often will both begin to rotate at the same time? TANCET : MCA PAPER -2004 (a) every 6 min (b) every 12 min (c) every 17.5 min (d) every 35 min. A man drived at a speed of 50 km/hr. to reach Madurai from Trichy. Because of bad weather, he drived back to Trichy only at a speed of 30 km/hr. The average speed for the entire trip is TANCET : MCA PAPER -2003 (a) 40 km/hr. (b) 42.5 km/hr. (c) 37.5 km/hr. (d) indeterminate because of insufficient data A train running at a speed of 45 km/hour takes 10 seconds to pass a certain point. Then the length of the train is TANCET : MCA PAPER -2003 (a)120m (b) 125m (c) 128m (d) 450 m BOATS & STREAMS 1. A motorboat going downstream a river passes a raft (freely floating with the river current) at a certain point ‘A’ Exactly one hour later it turned back and after some time while coming upstream it passed the same raft at a point ‘B’ situated at a distance of 6 km from point ‘A’ What is the speed of the water current in the river expressed in km /hr? NIMCET : MCA -2009 (a) 2.0 (b) 3.0 (c) 4.0 (d) 6.0 2. The speed of a boat in still water is 10 km/hr If it can travel 26 km downstream and 14 km upstream in the same time, then the speed of the stream is TANCET : MCA PAPER -2003 (a) 4 km/hr (b) 4.5 km/hr (c) 5 km/hr (d) 3 km/hr PUZZLE SERIES 1. Find out the missing number in the series below: 3,6,12,6,12,? 12,24,48 PGCET : MCA-2009 (a)24 (b)36 (c)32 (d)39 2. The missing number in the given figure is JNU : MCA -2009 ? 8 216 27 125 64 (a) 4 INFOMATHS/MCA/ARITHMETIC(PREVIOUS YEAR QUESTIONS) (b) 305 (c) 343 (d) 729 2 INFOMATHS 3. 4. 5. Find the odd man out TANCET : -2003 (a) MAGAM (b) THORN (c) DEALT (d) OMAGE What will come in place of the question mark (?) in the following series? MCA :NIMCET-2009 12 22 69 272 1365 ? (a) 8196 (b) 8195 (c) 6830 (d) 8184 Which number will be there in the place of question mark(?) in the following figure NIMCET-2009 11131221133112132113212221 13. In series,36,27,19,12,6 ………..the next number is : MCA: MP COMBINED-2008 (a) 0` (b) 1 (c) 2 (d) 3 14. In series 99,98,94,85,…….44,8 the vacant space will have: MCA: MP COMBINED-2008 (a) 69 (b) 72 (c) 56 (d) 49 15. In series 1,1,4,8,9,27,16…..the next number is : MCA: MP COMBINED-2008 (a) 52 (b) 56 (c) 60 (d) 64 16. 5 8 X 11 2 9 1 46 5 In the above X= MCA: MP COMBINED-2008 (a) 6 (b) 7 (c) 8 (d) 9 17. In the series: MCA: MP COMBINED-2008 1 3 1 12, 12 ,12 ,13 , ……the next number is : 4 4 2 3 1 1 3 (a) 13 (b) 14 (c) 14 (d) 14 (a) 5 (b) 6 (c) 4 (d) 8 4 4 2 4 6. 90, 84, 79, 75___________ KIITEE -2009 18. The missing number in the series 18, 20, 24, 32,__is (a) 62 (b) 72 (c) 71 (d) 70 MCA: KARNATAKA-2007 7. _______6, 16, 31, 51 MCA : KIITEE -2009 Note: – In each of the questions numbered 21 to 35 a (a) 2 (b) 3 (c) 1 (d) 5 sequence of number or letters that follow a definite PART-A pattern is given. Each question has a blank space. 8. Seven digits from 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 This has to be filled by the correct answer from the represented by a different letter in the figure below. four given options to complete the sequence without The products A B C, B G E and D E F are breaking the pattern. MCA : ICET - 2007 equal . What digit does G represent? (a) 48 (b) 44 (c) 40 (d) 42 MCA: Hyderabad central University-2009 19. 2, 8, 18, 32, …..72, 98 A D (a) 46 (b) 52 (c) 48 (d) 50 B G E 20. 4, 13, 28, 49, …..109,148 C F (a) 76 (b) 70 (c) 72 (d) 74 (a) 4 (b) 2 (c) 8 (d) 1 21. 0010, .00112……01112,10112 9. Complete the sequence. (a) 10102 (b) 10002 (c) 01012 (d) 01102 1, 9, 25, 49,……. TANCET : MCA PAPER -2003 22.. 0, 7, 26, 63,…….215, 342 (a) 64 (b) 169 (c) 121 (d) 81 (a) 126 (b) 124 (c) 125 (d) 127 10 The next term in the sequence 1,3,6,11,20,…….is 23. ACEG, IKMO,……..YACE MCA: IIT-2008 (a) QSUW(b) PRTV (c) QSUV (d) QSVX (a) 36 (b) 38 (c) 37 (d) 39 24. 6, 15, 35, ………143,221 11. What are the next three numbers in the given series. (a) 81 (b) 93 (c) 78 (d) 77 11212231223233412232334233? 25. 5, 10, 26,……., 122,170 MCA :NIMCET-2008 (a) 48 (b) 50 (c) 49 (d) 53 (1) 2, 3, 4 (2) 2, 3, 2 (3) 1, 2, 3 (4) 4, 3, 4 26. 6 : 35 : : 77: ……. 12. Examine the following sequence of numbers . (a) 135 (b) 221 (c) 225 (d) 321 1 MCA :NIMCET-2008 27. 8 : 16 : : 125 :…… 11 (a) 426 (b) 138 (c) 625 (d) 526 21 28. A, H, A, L,……..H, E 1211 (a) S (b) T (c) V (d) U 111221 29. 216, 343, ………,729 312211 (a) 470 (b) 512 (c) 570 (d) 626 13112221 30. (a) 2 (b) 3 (c) 5 (d) 7 1113213211 31. (a) 46 (b) 58 (c) 69 (d) 34 31131211131221 32. (a) 35 (b) 77 (c) 91 (d) 63 What are the next two numbers in the given series? 33. (a) 29 (b) 47 (c) 51 (d) 67 (1) 1 3 2 1 1 3 1 1 1 2 2 1 1 1 2 3 1 1 3 1 and 34. (a) 95 (b) 91 (c) 92 (d) 97 1121321132122211113221133 35. (a) B (b) D (c) I (d) P (2) 2 3 1 1 3 1 1 2 2 1 1 1 3 2 1 1 3 1 1 1 and 36. (a) BAT (b) CAT (c) DOT (d) PAT 11121321132122211131221133 37. (a) 5 (b) 50 (c) 122 (d) 169 (3) 1 1 2 3 1 1 3 1 1 2 2 1 1 1 3 2 1 1 3 1 and 38. (a) 961 (b) 531 (c) 169 (d) 841 11131221212221133112132113 MCA : ICET - 2007 (4) 1 3 2 1 1 3 1 1 1 2 3 1 1 3 1 1 2 2 1 1 and INFOMATHS/MCA/ARITHMETIC(PREVIOUS YEAR QUESTIONS) 3 INFOMATHS Note:- In each of the questions numbered 21 to 35 a sequence of numbers of letters that follow a definite pattern is given. Each question has a blank space. This has to be filled by the correct answer from the four given options to complete the sequence without breaking the pattern. MCA : ICET - 2005 39. 0010,0011,0101,……1011 (a) 0001 (b) 0111 (c) 1010 (d) 1111 40. AZBY, CXDW,……….GTHS (a) EXUV (b) EVFU (c) EVRU (d) EVSU 41. 7 : 13 : : 21 : …….. (a) 31 (b) 27 (c) 23 (d) 17 42. 8 : 27 : ………343 (a) 125 (b) 216 (c) 124 (d) 163 1 1 2 2 43. 11 ,12 ,14 ,16 ..... 9 2 7 3 2 2 1 (a) 18 (b) 18 (c) 17 (d) 20 3 7 6 44. 165, 195,…..285, 345 (a) 235 (b) 245 (c) 275 (d) 255 45. 09 : 25 : : 49 : ……… (a) 64 (b) 81 (c) 36 (d) 68 46. 13,29……….125,253 (a) 49 (b) 59 (c) 61 (d) 72 47. CAT, FDW, IGZ…….. (a) LIC (b) MJC (c) LJB (d) LJC 48. 82 : 122 : : ……226 :……. (a) 154 (b) 145 (c) 185 (d) 170 49. GHD, JEG, MBJ, …….. (a) QZM (b) PYM (c) PZM (d) PYN Directions : Pick the odd thing out. MCA : ICET - 2005 50. (a) 65 (b) 126 (c) 217 (d) 343 15 11 3 2 51. (a) 1 (b) (c) (d) 19 13 7 5 52. (a) 345 (b) 143 (c) 567 (d) 789 53. (a) 169 (b) 961 (c) 131 (d) 625 54. (a) DELM (b) BDU (c) BFH (d) PQAB 55. (a) BFH (b) MQS (c) GJL (d) NET 56. (a) Planet (b) Satellite(c) Sky (d) Star 57. (a) Bat (b) Eat (c) Fat (d) Pot 58. (a) 697 (b) 957 (c) 894 (d) 876 59. (a) 96 (b) 64 (c) 48 (d) 78 MCA : ICET - 2005 60. Find the missing character from among the given alternatives: MCA: JNU -2008 ? 1 2 21 22 40 1 2 5 20 23 43 (a) 5 (b) 4 (c) 3 (d) 2 61. In the following table, numbers 1, 2, 3, 4 are to be arranged wherever missing in such a way that each row as well as each column has all of these numbers exactly once. IIT : MCA PAPER -2006 4 2 2 4 1 1 The missing entries in the main diagonal are (a) 1, 2, 3 (b) 2, 3, 4 (c) 1, 3, 4 (d) 1, 2, 4 62. The next term in the sequence IIT : MCA PAPER -2006 3 11 25 137 1, , , , ,....is 2 6 12 60 151 49 7 299 (a) (b) (c) (d) 60 20 10 120 IIT : MCA PAPER-2005 63. Find the odd man out 41, 43, 47, 53, 61, 71, 73, 81` TANCET : MCA PAPER-2005 (a) 61 (b) 71 (c) 73 (d) 81 64. Complete the series 2, 5, 9, 19, 37…… TANCET : MCA PAPER-2005 (a) 76 (b) 74 (c) 75 (d) 73 Direction (Qns.49 to 50) : Which of the following group of letters will complete the given series? 65. ab—ccca—bccc—bbcc— (a) abbe (b) bbac (c) bbca (d) cabc TANCET : MCA PAPER -2005 66. Complete the following number series 1, 1, 3, 9, 5, 25, 7, 49, __ , 81 TANCET : MCA PAPER -2005 (a) 7 (b) 9 (c) 8 (d) 10 My husband purchased 3 different types of fruits namely banana, mango and apple. I asked him how many fruits did he purchase in each kind. He replied that the number of bananas exceeds one –fifth of the total number of fruits by one. The number of mangoes exceeds one-fourth of the total number of fruits by one. The number of apples exceeds half of the total many of fruits by one. 67. How many apples did my husband purchase? TANCET : MCA PAPER -2003 (a) 13 (b) 16 (c) 31 (d) 43 68. There are 100 questions in a two hour M.C.A entrance test. Among these questions, 40 will be in the area of quantitative ability. It is suggested that two and a half times as much time be allowed for each quantitative ability problem as for each of the other questions. How many minutes should be spent on the quantitative ability problem? TANCET -2003 (a) 30 (b) 60 (c) 75 (d) 80 69 Find the next term in the sequence TANCET : MCA PAPER -2003 2, 3, 10, 15, 26, 35, ……….. (a) 46 (b) 48 (c) 50 (d) 52 70. Insert the missing number 47 (202) 63 57 (…..) 72 TANCET -2003 (a) 292 (b) 225 (c) 441 (d) 127 71. The English words for two numbers are scrambled and the letters reassembled to give two different words for two different numbers. When these two numbers are added together, it is found that their sum in the same as that of the original numbers. One of the four number is HYDERABAD-2007 (a) 11 (b) 13 (c) 5 (d) 7 72. The two missing terms in the sequence 3, 7, 15, 31,___127, 255,____ are (a) 63, 511 (b) 62, 511 (c) 63, 412 (d) 62, 512 CUBES 1. There are two cubes on a table in which the volume of the second is half that of the first. If the first cube occupies a certain area (Y) on the table, how much area (approximately) does the second occupy? HCU-2012 INFOMATHS/MCA/ARITHMETIC(PREVIOUS YEAR QUESTIONS) 4 INFOMATHS Y Y Y (c) 3 (d) BOATS AND STREAM 2 2 4 2 1 2 2. Place 4 dice on the table and arrange them so that all B D four top numbers are the same. Turn any tow dice upside down and then add the top numbers. What is the sum? HYDERABAD-2007 PUZZLES (a) 16 (b) 18 (c) 20 (d) 14 1 2 3 4 5 6 3. A 3-inch cube is colored red on all sides. The cubes A C A D D B is cut into small I inch cubes. The number of cubes 11 12 13 14 15 16 which have atleast two sides colored red is . D D B A D D MCA: Hyderabad central University-2009 21 22 23 24 25 26 (a) 19 (b) 21 (c) 22 (d) 20 C B A D B B 4. A cube is colored in such a way that each pair of its 31 32 33 34 35 36 adjacent sides have the same color. What is the minimum number of colors your require? C D C D A C MCA: JNU -2008 41 42 43 44 45 46 (a) 2 (b) 3 (d) 4 (d) N.O.T B A D A B C Directions (5-7): Choose the correct answer to her 51 52 53 54 55 56 given questions: A B C D D C Three adjacent faces of a cube are painted with blue 61 62 63 64 65 66 colour and the other three faces are painted with red colour. The cube is cut into 125 equal small cubes. C D D C B B 5. How many small cubes will have paint on only one 71 72 face? TANCET : MCA PAPER -2003 B A (a) 27 (b) 54 (c) 36 (d) 117 6. How many small cubes will have no paint on any CUBES face? TANCET : MCA PAPER -2003 1 2 3 4 5 6 (a) 27 (b) 54 (c) 64 (d) 117 C D D D B A 7. How many small cubes will have the same colour on two faces and no paint on the remaining four faces? DICE TANCET : MCA PAPER -2003 1 2 (a) 12 (b) 18 (c) 24 (d) 36 C B DICE 1. Two positions of a dice are shown below. When number 1 is on the top, what number will be at the bottom? 6 6 (a) Y (b) 3 1 4 (i) 2. 4 7 C 17 C 27 C 37 D 47 D 57 D 67 C 8 B 18 A 28 D 38 B 48 D 58 A 68 C 9 D 19 D 29 B 39 B 49 B 59 B 69 C 10 C 20 A 30 A 40 B 50 D 60 D 70 B 7 B 5 (ii) NIMCET-2012 (a) 2 (b) 3 (c) 5 (d) cann’t be determined Place four dice on the table and arrange them so all four top numbers are the same. Turn any two dice up side down and add the top numbers. What is the sum? HCU-2010 (a) 10 (b) 14 (c) 16 (d) cannot say ANSWERS (OLD QUESTIONS) TIME & DISTANCE 1 2 3 4 5 6 D C B A B B 11 12 13 14 15 16 A C B A D A 21 22 23 24 25 26 D B C C A D 31 32 33 34 C D C B 7 B 17 D 27 D 8 B 18 D 28 A 9 D 19 B 29 B 10 A 20 D 30 D INFOMATHS/MCA/ARITHMETIC(PREVIOUS YEAR QUESTIONS) 5