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Pipe A can fill in 20 minutes and Pipe B in 30 mins and Pipe C can empty the same in 40 mins.If all of them work together, find the time taken to fill the tank(a) 17 1/7 mins (b) 20 mins (c) 8 mins (d) none of these Ans. (a)5. Thirty men take 20 days to complete a job working 9 hours a day.How many houra day should 40 men work to complete the job?(a) 8 hrs (b) 7 1/2 hrs (c) 7 hrs (d) 9 hrsAns. (b)6. Find the smallest number in a GP whose sum is 38 and product 1728(a) 12 (b) 20 (c) 8 (d) none of these Ans. (c) 7. A boat travels 20 kms upstream in 6 hrs and 18 kms downstream in 4 hrs.Findthe speed of the boat in still water and the speed of the water current?(a) 1/2 kmph (b) 7/12 kmph (c) 5 kmph (d) none of theseAns. (b) 8. A goat is tied to one corner of a square plot of side 12m by a rope 7mlong.Find the area it can graze?(a) 38.5 sq.m (b) 155 sq.m (c) 144 sq.m (d) 19.25sq.m Ans. (a) 9. Mr. Shah decided to walk down the escalator of a tube station. He foundthat if he walks down 26 steps, he requires 30 seconds to reach the bottom.However, if he steps down 34 stairs he would only require 18 seconds to getto the bottom. If the time is measured from the moment the top step beginsto descend to the time he steps off the last step at the bottom, find out theheight of the stair way in steps?Ans.46 steps. 10. The average age of 10 members of a committee is the same as it was 4 yearsago, because an old member has been replaced by a young member. Find how muchyounger is the new member ? Ans.40 years.11. Three containers A, B and C have volumes a, b, and c respectively; andcontainer A is full of water while the other two are empty. If from containerA water is poured into container B which becomes 1/3 full, and into containerC which becomes 1/2 full, how much water is left in container A?12. ABCE is an isosceles trapezoid and ACDE is a rectangle. AB = 10 and EC = 20.What is the length of AE? Ans. AE = 1013. In the given figure, PA and PB are tangents to the circle at A and Brespectively and the chord BC is parallel to tangent PA. If AC = 6 cm, andlength of the tangent AP is 9 cm, then what is the length of the chord BC?Ans. BC = 4 cm.14. Three cards are drawn at random from an ordinary pack of cards. Find theprobability that they will consist of a king, a queen and an ace. Ans. 64/221015. A number of cats got together and decided to kill between them 999919 mice.Every cat killed an equal number of mice. Each cat killed more mice thanthere were cats. How many cats do you think there were ? Ans. 991.16. If Log2 x - 5 Log x + 6 = 0, then what would the value / values of x be?Ans. x = e2 or e3. 17. In june a baseball team that played 60 games had won 30% of its game played.After a phenomenal winning streak this team raised its average to 50% Howmany games must the team have won in a row to attain this average?A. 12 B. 20 C. 24 D. 30(Ans. C)18. .Can you tender a one rupee note in such a manner that there shall be total50 coins but none of them would be 2 paise coins.? Ans. 45 one paisacoins, 2 five paise coins, 2 ten paise coins, and 1 twenty-five paise coins.19. A monkey starts climbing up a tree 20ft. tall. Each hour, it hops 3ft. andslips back 2ft. How much time would it take the monkey to reach the top?Ans.18 hours.20. What is the missing number in this series? 8 2 14 6 11 ? 14 6 18 12Ans. 921. A certain type of mixture is prepared by mixing brand A at Rs.9 a kg. withbrand B at Rs.4 a kg. If the mixture is worth Rs.7 a kg., how many kgs. ofbrand A are needed to make 40kgs. of the mixture? Ans. Brand A needed is 24kgs.22. A wizard named Nepo says "I am only three times my son's age. My father is40 years more than twice my age. Together the three of us are a mere 1240years old." How old is Nepo? Ans. 360 years old. 23. One dog tells the other that there are two dogs in front of me. The other onealso shouts that he too had two behind him. How many are they? Ans. Three24. A man ate 100 bananas in five days, each day eating 6 more than the previousday. How many bananas did he eat on the first day?Ans. Eight.25. If it takes five minutes to boil one egg, how long will it take to boil four eggs?Ans. Five minutes.26. The minute hand of a clock overtakes the hour hand at intervals of 64minutes of correct time. How much a day does the clock gain or lose? Ans.32 8/11 minutes. 27. Solve for x and y: 1/x - 1/y = 1/3, 1/x2 + 1/y2 = 5/9. Ans. x = 3/2 or -3and y = 3 or -3/2.28. Daal is now being sold at Rs. 20 a kg. During last month its rate was Rs. 16per kg. By how much percent should a family reduce its consumption so as tokeep the expenditure fixed? Ans. 20 %.29. Find the least value of 3x + 4y if x2y3 = 6.Ans. 10.30. Can you find out what day of the week was January 12, 1979? Ans Friday.31. A garrison of 3300 men has provisions for 32 days, when given at a rate of850 grams per head. At the end of 7 days a reinforcement arrives and it wasfound that now the provisions will last 8 days less, when given at the rateof 825 grams per head. How, many more men can it feed?Ans. 1700 men.32. From 5 different green balls, four different blue balls and three differentred balls, how many combinations of balls can be chosen taking at least onegreen and one blue ball? 33. Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30minutes respectively while C can empty it in 15 minutes. If A, B & C are kept open successively for 1 minute each, how soon will the tank be filled?Ans. 167 minutes.34. A person walking 5/6 of his usual rate is 40 minutes late. What is his usualtime? Ans. 3 hours 20 minutes.35. For a motorist there are three ways going from City A to City C. By way ofbridge the distance is 20 miles and toll is $0.75. A tunnel between the twocities is a distance of 10 miles and toll is $1.00 for the vehicle and driverand $0.10 for each passenger. A two-lane highway without toll goes east for30 miles to city B and then 20 miles in a northwest direction to City C. 1. Which is the shortest route from B to C(a) Directly on toll free highway to City C (b) The bridge (c) The Tunnel(d) The bridge or the tunnel (e) The bridge only if traffic is heavyon the toll free highway Ans. (a)2. The most economical way of going from City A to City B, in terms of toll anddistance is to use the(a) tunnel (b) bridge (c) bridge or tunnel (d) toll free highway(e) bridge and highway Ans. (a)3. Jim usually drives alone from City C to City A every working day. His firmdeducts a percentage of employee pay for lateness. Which factor would mostinfluence his choice of the bridge or the tunnel ?(a) Whether his wife goes with him (b) scenic beauty on the route(c) Traffic conditions on the road, bridge and tunnel(d) saving $0.25 in tolls (e) price of gasoline consumed in coveringadditional 10 miles on the bridgeAns. (a)4. In choosing between the use of the bridge and the tunnel the chief factor(s)would be: I. Traffic and road conditions II. Number of passengers in the carIII. Location of one's homes in the center or outskirts of one of the citiesIV. Desire to save $0.25 (a) I only (b) II only (c) II and III only (d) III and IV only (e) I and II onlyAns. (a)36. The letters A, B, C, D, E, F and G, not necessarily in that order, stand forseven consecutive integers from 1 to 10, D is 3 less than A, B is the middle termF is as much less than B as C is greater than D, G is greater than F, 1. The fifth integer is(a) A (b) C (c) D (d) E (e) F Ans. (a)2. A is as much greater than F as which integer is less than G(a) A (b) B (c) C (d) D (e) E Ans. (a)3. If A = 7, the sum of E and G is(a) 8 (b) 10 (c) 12 (d) 14 (e) 16 Ans.(a)4. A - F = ?(a) 1 (b) 2 (c) 3 (d) 4 (e) Cannot be determinedAns. (a)5. An integer T is as much greater than C as C is greater than E. T can bewritten as A + E. What is D?(a) 2 (b) 3 (c) 4 (d) 5 (e) Cannot be determinedAns. (a)6. The greatest possible value of C is how much greater than the smallestpossible value of D? (a) 2 (b) 3 (c) 4 (d) 5 (e) 6 Ans. (a)37.1. All G's are H's2. All G's are J's or K's3. All J's and K's are G's4. All L's are K's5. All N's are M's6. No M's are G's1. If no P's are K's, which of the following must be true?(a) All P's are J's (b) No P is a G (c) No P is an H(d) If any P is an H it is a G (e) If any P is a G it is a J Ans. (a)2. Which of the following can be logically deduced from the conditions stated?(a) No M's are H's (b) No M's that are not N's are H's (c) No H's are M's(d) Some M's are H's (e) All M's are H's Ans. (a)3. Which of the following is inconsistent with one or more of the conditions?(a) All H's are G's (b) All H's that are not G's are M's (c) SomeH's are both M's and G's (d) No M's are H's (e) All M's are H'sAns. (a)4. The statement "No L's are J's" isI. Logically deducible from the conditions statedII. Consistent with but not deducible from the conditions statedIII. Deducible from the stated conditions together with the additionalstatement "No J's are K's"(a) I only (b) II only (c) III only (d) II and III only (e) Neither I, II nor IIIAns. (a)38. In country X, democratic, conservative and justice parties have fought threecivil wars in twenty years. TO restore stability an agreement is reached torotate the top offices President, Prime Minister and Army Chief among theparties so that each party controls one and only one office at all times. Thethree top office holders must each have two deputies, one from each of theother parties. Each deputy must choose a staff composed of equally members ofhis or her chiefs party and member of the third party.1. When Justice party holds one of the top offices, which of the following cannot be true(a) Some of the staff members within that office are justice party members(b) Some of the staff members within that office are democratic party members(c) Two of the deputies within the other offices are justice party members(d) Two of the deputies within the other offices are conservative party members(e) Some of the staff members within the other offices are justice party members.Ans. (a)2. When the democratic party holds presidency, the staff of the prime minister'sdeputies are composed I. One-fourth of democratic party membersII. One-half of justice party members and one-fourth of conservative party membersIII. One-half of conservative party members and one-fourth of justice party members.(a) I only (b) I and II only (c) II or III but not both (d) I and II or I and III (e) None of these Ans. (a)3. Which of the following is allowable under the rules as stated:(a) More than half of the staff within a given office belonging to a single party(b) Half of the staff within a given office belonging to a single party (c) Any person having a member of the same party as his or her immediate superior(d) Half the total number of staff members in all three offices belonging to a single party(e) Half the staff members in a given office belonging to parties differentfrom the party of the top office holder in that office. Ans. (a)4. The office of the Army Chief passes from Conservative to Justice party. Whichof the following must be fired.(a) The democratic deputy and all staff members belonging to Justice party(b) Justice party deputy and all his or hers staff members(c) Justice party deputy and half of his Conservative staff members in thechief of staff office(d) The Conservative deputy and all of his or her staff members belonging toConservative party(e) No deputies and all staff members belonging to conservative parties.Ans. (a)39. In recommendations to the board of trustees a tuition increase of $500 peryear, the president of the university said "There were no studentdemonstrations over the previous increases of $300 last year and $200 theyear before". If the president's statement is accurate then which of thefollowing can be validly inferred from the information given:I. Most students in previous years felt that the increases were justifiedbecause of increased operating costs.II. Student apathy was responsible for the failure of students to protest theprevious tuition increases.III. Students are not likely to demonstrate over new tuition increases.(a) I only (b) II only (c) I or II but not both (d) I, II and III (e) NoneAns. (a)40. The office staff of XYZ corporation presently consists of three bookeepers--A, B, C and 5 secretaries D, E, F, G, H. The management isplanning to open a new office in another city using 2 bookeepers and 3secretaries of the present staff . To do so they plan to seperate certainindividuals who don't function well together. The following guidelines wereestablished to set up the new officeI. Bookeepers A and C are constantly finding fault with one another andshould not be sent together to the new office as a teamII. C and E function well alone but not as a team , they should be seperatedIII. D and G have not been on speaking terms and shouldn't go togetherIV Since D and F have been competing for promotion they shouldn't be a team1. If A is to be moved as one of the bookeepers,which of the following cannotbe a possible working unit.A.ABDEH B.ABDGH C.ABEFH D.ABEGH Ans.B2. If C and F are moved to the new office,how many combinations are possibleA.1 B.2 C.3 D.4 Ans.A3. If C is sent to the new office,which member of the staff cannot go with CA.B B.D C.F D.G Ans.B4. Under the guidelines developed,which of the following must go to the new officeA.B B.D C.E D.G Ans.A5. If D goes to the new office,which of the following is/are trueI.C cannot go II.A cannot go III.H must also go A.I only B.II only C.I and II only D.I and III only Ans.D41. After months of talent searching for an administrative assistant to the president of the college the field of applicants has been narrowed down to5--A, B, C, D, E .It was announced that the finalist would be chosen after aseries of all-day group personal interviews were held.The examining committeeagreed upon the following procedureI.The interviews will be held once a weekII.3 candidates will appear at any all-day interview sessionIII.Each candidate will appear at least onceIV.If it becomes necessary to call applicants for additonal interviews, nomore 1 such applicant should be asked to appear the next weekV.Because of a detail in the written applications,it was agreed that whenevercandidate B appears, A should also be present.VI.Because of travel difficulties it was agreed that C will appear for only 1 interview.1. At the first interview the following candidates appear A,B,D.Which of thefollwing combinations can be called for the interview to be held next week.A.BCD B.CDE C.ABE D.ABC Ans.B2. Which of the following is a possible sequence of combinations for interviewsin 2 successive weeksA.ABC;BDE B.ABD;ABE C.ADE;ABC D.BDE;ACDAns.C3. If A ,B and D appear for the interview and D is called for additionalinterview the following week,which 2 candidates may be asked to appear with D?I. A II B III.C IV.EA.I and II B.I and III only C.II and III only D.III and IV onlyAns.D4. Which of the following correctly state(s) the procedure followed by thesearch committee I.After the second interview all applicants have appeared at least onceII.The committee sees each applicant a second timeIII.If a third session,it is possible for all applicants to appear at least twiceA.I only B.II only C.III only D.Both I and II Ans.A42. A certain city is served by subway lines A,B and C and numbers 1 2 and 3When it snows , morning service on B is delayedWhen it rains or snows, service on A, 2 and 3 are delayed both in the morning and afternoon Whentemp. falls below 30 degrees farenheit afternoon service is cancelled ineither the A line or the 3 line, but not both When the temperature rises over 90 degrees farenheit, the afternoon service is cancelled in either the line C or the 3 line but not both.When the service on the A line is delayed or cancelled, service on the Cline which connects the A line, is delayed When service on the 3 line iscancelled, service on the B line which connects the 3 line is delayed.1. On Jan 10th, with the temperature at 15 degree farenheit, it snows all day.On how many lines will service be affected, including both morning and afternoon.(A) 2 (B) 3 (C) 4 (D) 5 Ans. D 2. On Aug 15th with the temperature at 97 degrees farenheit it begins to rain at1 PM. What is the minimum number of lines on which service will be affected?(A) 2 (B) 3 (C) 4 (D) 5 Ans. C3. On which of the following occasions would service be on the greatest numberof lines disrupted.(A) A snowy afternoon with the temperature at 45 degree farenheit(B) A snowy morning with the temperature at 45 degree farenheit(C) A rainy afternoon with the temperature at 45 degree farenheit(D) A rainy afternoon with the temperature at 95 degree farenheitAns. B43. In a certain society, there are two marriage groups, red and brown. Nomarriage is permitted within a group. On marriage, males become part of theirwives groups; women remain in their own group. Children belong to the samegroup as their parents. Widowers and divorced males revert to the group oftheir birth. Marriage to more than one person at the same time and marriageto a direct descendant are forbidden1.A brown female could have had I. A grandfather born RedII. A grandmother born RedIII Two grandfathers born Brown(A) I only (B) III only (C) I, II and III (D) I and II only Ans. D2. A male born into the brown group may have(A) An uncle in either group (B) A brown daughter (C) A brown son(D) A son-in-law born into red group Ans. A3. Which of the following is not permitted under the rules as stated.(A) A brown male marrying his father's sister (B) A red female marrying her mother's brother(C) A widower marrying his wife's sister(D) A widow marrying her divorced daughter's ex-husbandAns. B4. If widowers and divorced males retained their group they had upon marryingwhich of the following would be permissible ( Assume that no previous marriage occurred)(A) A woman marrying her dead sister's husband(B) A woman marrying her divorced daughter's ex-husband(C) A widower marrying his brother's daughter(D) A woman marrying her mother's brother who is a widower.Ans. D 5. I. All G's are H'sII. All G's are J's or K'sIII All J's and K's are G'sIV All L's are K'sV All N's are M'sVI No M's are G's44. There are six steps that lead from the first to the second floor. No twopeople can be on the same stepMr. A is two steps below Mr. CMr. B is a step next to Mr. DOnly one step is vacant ( No one standing on that step )Denote the first step by step 1 and second step by step 2 etc.1. If Mr. A is on the first step, Which of the following is true?(a) Mr. B is on the second step (b) Mr. C is on the fourth step.(c) A person Mr. E, could be on the third step (d) Mr. D is on higher step than Mr. C.Ans: (d)2. If Mr. E was on the third step & Mr. B was on a higher step than Mr. E whichstep must be vacant(a) step 1 (b) step 2 (c) step 4 (d) step 5 (e) step 6 Ans: (a)3. If Mr. B was on step 1, which step could A be on?(a) 2&e only (b) 3&5 only (c) 3&4 only (d) 4&5 only (e) 2&4 only Ans: (c)4. If there were two steps between the step that A was standing and the step that B was standing on, and A was on a higher step than D , A must be on step(a) 2 (b) 3 (c) 4 (d) 5 (e) 6 Ans: (c) 5. Which of the following is falsei. B&D can be both on odd-numbered steps in one configurationii. In a particular configuration A and C must either both an odd numberedsteps or both an even-numbered stepsiii. A person E can be on a step next to the vacant step.(a) i only (b) ii only (c) iii only (d) both i and iii Ans: (c) 45. Six swimmers A, B, C, D, E, F compete in a race. The outcome is as follows.i. B does not win.ii. Only two swimmers separate E & Diii. A is behind D & Eiv. B is ahead of E , with one swimmer interveningv. F is a head of D1. Who stood fifth in the race ?(a) A (b) B (c) C (d) D (e) E Ans: (e)2. How many swimmers seperate A and F ?(a) 1 (b) 2 (c) 3 (d) 4 (e) cannot be determined Ans: (d)3. The swimmer between C & E is(a) none (b) F (c) D (d) B (e) A Ans: (a)4. If the end of the race, swimmer D is disqualified by the Judges then swimmerB finishes in which place(a) 1 (b) 2 (c) 3 (d) 4 (e) 5 Ans: (b) 46. Five houses lettered A,B,C,D, & E are built in a row next to each other. Thehouses are lined up in the order A,B,C,D, & E. Each of the five houses has acolored chimney. The roof and chimney of each housemust be painted as follows.i. The roof must be painted either green,red ,or yellow.ii. The chimney must be painted either white, black, or red.iii. No house may have the same color chimney as the color of roof.iv. No house may use any of the same colors that the every next house uses.v. House E has a green roof.vi. House B has a red roof and a black chimney1. Which of the following is true ?(a) At least two houses have black chimney.(b) At least two houses have red roofs.(c) At least two houses have white chimneys(d) At least two houses have green roofs(e) At least two houses have yellow roofsAns: (c) 2. Which must be false ?(a) House A has a yellow roof (b) House A & C have different color chimney(c) House D has a black chimney (d) House E has a white chimney(e) House B&D have the same color roof.Ans: (b)3. If house C has a yellow roof. Which must be true.(a) House E has a white chimney (b) House E has a black chimney(c) House E has a red chimney (d) House D has a red chimney(e) House C has a black chimneyAns: (a)4. Which possible combinations of roof & chimney can houseI. A red roof 7 a black chimney II. A yellow roof & a red chimneyIII. A yellow roof & a black chimney(a) I only (b) II only (c) III only (d) I & II only (e) I&II&III Ans: (e)47. Find x+2y(i). x+y=10 (ii). 2x+4y=20 Ans: (b48. Is angle BAC is a right angle (i) AB=2BC (2) BC=1.5AC Ans: (e)49. Is x greater than y(i) x=2k (ii) k=2y Ans: (e)
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