** Company: ** 3i Infotech

1) 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

2) 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.

3) If it takes five minutes to boil one egg, how long will it take to boil four eggs?

**Ans** Five minutes.

4) 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 minutes.

5) 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.

6) 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 %.

7) Find the least value of 3x + 4y if x2y3 = 6.

**Ans** 10.

8) Can you find out what day of the week was January 12, 1979?

**Ans** Friday.

9) 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.

10) 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?

11)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.

12) A person walking 5/6 of his usual rate is 40 minutes late. What is his usual time?

**Ans** 3 hours 20 minutes.

13) 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

**Ans** (a)

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

**Ans** (a)

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

**Ans** (a)

IV) 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 car

III. Location of one’s homes in the center or outskirts of one of the cities

IV. 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)

14) 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 middle term F is as much less than B as C is greater than D, G is greater than F,

I) The fifth integer is

(a) A (b) C (c) D (d) E (e) F

**Ans** (a)

II) 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)

III) If A = 7, the sum of E and G is

(a) 8 (b) 10 (c) 12 (d) 14 (e) 16

**Ans** (a)

IV) A – F = ?

(a) 1 (b) 2 (c) 3 (d) 4 (e) Cannot be determined

**Ans** (a)

V) 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)

VI) 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)

15)

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

I)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)

II) 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)

III) 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)

IV) 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)

16) 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.

**Ans** (a)

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.

**Ans** (a)

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

(c) Justice party deputy and half of his Conservative staff members in the chief of staff office

(d) The Conservative deputy and all of his or her staff members belonging to Conservative party

(e) No deputies and all staff members belonging to conservative parties.

**Ans** (a)

17) 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

**Ans** (a)

18) 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

< >.If A is to be moved as one of the bookeepers,which of the following cannot be a possible working unit.

A.ABDEH B.ABDGH C.ABEFH D.ABEGH

**Ans**BIf C and F are moved to the new office,how many combinations are possible

A.1 B.2 C.3 D.4

**Ans**AIf C is sent to the new office,which member of the staff cannot go with C

A.B B.D C.F D.G

**Ans**BUnder the guidelines developed,which of the following must go to the new office

A.B B.D C.E D.G

**Ans**AIf D goes to the new office,which of the following is/are true

I.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**D