1. If 2x-y=4 then 6x-3y=? (a)15 (b)12 (c)18 (d)10 Ans. (b)
2. If x=y=2z and xyz=256 then what is the value of x? (a)12 (b)8 (c)16 (d)6 Ans. (b)
3. (1/10)18 - (1/10)20 = ?
(a) 99/1020(b) 99/10 (c) 0.9 (d) none of theseAns. (a)
4. Pipe A can fill in 20 minutes and Pipe B in 30 minutes and Pipe C can empty the same in 40 minutes. 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 hour a day should 40 men work to complete the job?
(a) 8 hrs (b) 7 1/2 hrs (c) 7 hrs (d) 9 hrs Ans. (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. Find the 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 these Ans. (b)
8. A goat is tied to one corner of a square plot of side 12m by a rope 7m long. Find the area it can graze?
(a) 38.5 sq.m (b) 155 sq.m (c) 144 sq.m (d) 19.25 sq.m Ans. (a)
9. Mr. Shah decided to walk down the escalator of a tube station. He found that 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 get to the bottom. If the time is measured from the moment the top step begins to
descend to the time he steps off the last step at the bottom, find out the height of the stair way in steps?
10. The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how
much younger is the new member ? Ans.40 years.
11. Three containers A, B and C have volumes a, b, and c respectively; and container A is full of water while the other two are empty. If from container A
water is poured into container B which becomes 1/3 full, and into container C 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 = 10
13. In the given figure, PA and PB are tangents to the circle at A and B respectively and the chord BC is parallel to tangent PA. If AC = 6 cm, and length
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 the probability that they will consist of a king, a queen and an ace. Ans. 64/2210
15. 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 than
there 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% .How
many 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 total 50 coins but none of them would be 2 paise coins.? Ans. 45 one paisa coins,
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. and slips back 2ft. How much time would it take the monkey to reach the top?
20. What is the missing number in this series? 8 2 14 6 11 ? 14 6 18 12 Ans. 9
21. A certain type of mixture is prepared by mixing brand A at Rs.9 a kg. with brand B at Rs.4 a kg. If the mixture is worth Rs.7 a kg., how many kgs. of
brand 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 is 40 years more than twice my age. Together the three of us are a mere 1240
years 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 one also shouts that he too had two behind him. How many are they? Ans. Three
24. A man ate 100 bananas in five days, each day eating 6 more than the previous day. 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 64 minutes of correct time. How much a day does the clock gain or lose? Ans. 32 8/11
27. Solve for x and y: 1/x - 1/y = 1/3, 1/x2 + 1/y2 = 5/9. Ans. x = 3/2 or -3 and y = 3 or -3/2.
28. Daal is now being sold at Rs. 20 a kg. During last month its rate was Rs. 16 per kg. By how much percent should a family reduce its consumption so as
to keep 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 of 850 grams per head. At the end of 7 days a reinforcement arrives and it was
found that now the provisions will last 8 days less, when given at the rate of 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 different red balls, how many combinations of balls can be chosen taking at least one
green and one blue ball?
33. Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes 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 usual time? Ans. 3 hours 20 minutes.
35. For a motorist there are three ways going from City A to City C. By way of bridge the distance is 20 miles and toll is $0.75. A tunnel between the two
cities is a distance of 10 miles and toll is $1.00 for the vehicle and driver and $0.10 for each passenger. A two-lane highway without toll goes east for
30 miles to city B and then 20 miles in a northwest direction to City C.
I. 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 heavy on the toll free highway
II. The most economical way of going from City A to City B, in terms of toll and distance is to use the
(a) tunnel (b) bridge (c) bridge or tunnel (d) toll free highway
(e) bridge and highway
III. Jim usually drives alone from City C to City A every working day. His firm deducts a percentage of employee pay for lateness. Which factor would most
influence 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 covering additional 10 miles on the bridge
IV. In choosing between the use of the bridge and the tunnel the chief factor's) would be:
a. Traffic and road conditions b. Number of passengers in the car
c. Location of one's homes in the center or outskirts of one of the cities
d. 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 only Ans. (a)
36. The letters A, B, C, D, E, F and G, not necessarily in that order, stand for seven consecutive integers from 1 to 10, D is 3 less than A, B is the
F 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 determined Ans. (a)
5. An integer T is as much greater than C as C is greater than E. T can be written as A + E. What is D?
(a) 2 (b) 3 (c) 4 (d) 5 (e) Cannot be determined Ans. (a)
6. The greatest possible value of C is how much greater than the smallest possible value of D? (a) 2 (b) 3 (c) 4 (d) 5 (e) 6 Ans. (a)
37. 1. All G's are H's
2. All G's are J's or K's
3. All J's and K's are G's
4. All L's are K's
5. All N's are M's
6. No M's are G's
1. 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) Some H's are both M's and G's (d) No M's are H's (e) All M's are H's Ans. (a)
4. The statement "No L's are J's" is
I. Logically deducible from the conditions stated
II. Consistent with but not deducible from the conditions stated
III. Deducible from the stated conditions together with the additional statement "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 III Ans. (a)
38. In country X, democratic, conservative and justice parties have fought three civil wars in twenty years. TO restore stability an agreement is reached
to rotate the top offices President, Prime Minister and Army Chief among the parties so that each party controls one and only one office at all times. The
three top office holders must each have two deputies, one from each of the other parties. Each deputy must choose a staff composed of equally members of
his 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.
2. When the democratic party holds presidency, the staff of the prime minister's deputies are composed
I. One-fourth of democratic party members
II. One-half of justice party members and one-fourth of conservative party members
III. 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 different from the party of the top office holder in that office.
4. The office of the Army Chief passes from Conservative to Justice party. Which of 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
39. In recommendations to the board of trustees a tuition increase of $500 per year, the president of the university said "There were no student
demonstrations over the previous increases of $300 last year and $200 the year before". If the president s statement is accurate then which of the
following can be validly inferred from the information given:
I. Most students in previous years felt that the increases were justified because of increased operating costs.
II. Student apathy was responsible for the failure of students to protest the previous 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) None
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 is planning to open
a new office in another city using 2 bookeepers and 3 secretaries of the present staff . To do so they plan to seperate certain individuals who don t
function well together. The following guidelines were established to set up the new office
I. Bookeepers A and C are constantly finding fault with one another and should not be sent together to the new office as a team
II. C and E function well alone but not as a team , they should be seperated
III. D and G have not been on speaking terms and shouldn t go together
IV Since D and F have been competing for promotion they shouldn t be a team
41.After months of talent searching for an administrative assistant to the president of the college the field of applicants has been narrowed down to 5
candidates. A, B, C, D, E .It was announced that the finalist would be chosen after a series of all-day group personal interviews were held.The examining
committee agreed upon the following procedure
I.The interviews will be held once a week
II.3 candidates will appear at any all-day interview session
III.Each candidate will appear at least once
IV.If it becomes necessary to call applicants for additonal interviews, no more 1 such applicant should be asked to appear the next week
V.Because of a detail in the written applications,it was agreed that whenever candidate B appears, A should also be present.
VI.Because of travel difficulties it was agreed that C will appear for only 1 interview.
Q. Who got selected?