3i Infotech Placement Paper Aptitude - Numerical -18 Feb 2010
If 2x-y=4 then 6x-3y=? (a)15 (b)12 (c)18 (d)10 Ans. (b)
If x=y=2z and xyz=256 then what is the value of x? (a)12 (b)8 (c)16 (d)6 Ans. (b)
(a) 99/1020 (b) 99/10 (c) 0.9 (d) none of these Ans. (a)
(a) 17 1/7 mins (b) 20 mins (c) 8 mins (d) none of these Ans. (a)
(a) 8 hrs (b) 7 1/2 hrs (c) 7 hrs (d) 9 hrs Ans. (b)
(a) 12 (b) 20 (c) 8 (d) none of these Ans. (c)
(a) 1/2 kmph (b) 7/12 kmph (c) 5 kmph (d) none of these Ans. (b)
(a) 38.5 sq.m (b) 155 sq.m (c) 144 sq.m (d) 19.25 sq.mAns. (a)
The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member.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.
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?
ABCE is an isosceles trapezoid and ACDE is a rectangle. AB = 10 and EC = 20. What is the length of AE? Ans. AE = 10
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.
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
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.
Ans. x = e2 or e3.
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 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.
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
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.
Ans. Five minutes.
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.
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.
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 %.
Find the least value of 3x + 4y if x2y3 = 6. Ans. 10.
Can you find out what day of the week was January 12, 1979?Ans. Friday.
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.
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?
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.
A person walking 5/6 of his usual rate is 40 minutes late. What is his usual time? Ans. 3 hours 20 minutes.
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
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,
The fifth integer is
(a) A (b) C (c) D (d) E (e) F Ans. (a)
A is as much greater than F as which integer is less than G
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
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)
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)
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)
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
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.
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)
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
A.I only B.II only C.I and II only D.I and III only Ans.D
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--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.
.At the first interview the following candidates appear A,B,D.Which of the follwing combinations can be called for the interview to be held next week. A.BCD B.CDE C.ABE D.ABC Ans.B
Which of the following is a possible sequence of combinations for interviews in 2 successive weeks A.ABC;BDE B.ABD;ABE C.ADE;ABC D.BDE;ACD Ans.C
A.I and II B.I and III only C.II and III only D.III and IV only Ans.D
A certain city is served by subway lines A,B and C and numbers 1 2 and 3 When 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 When temp. falls below 30 degrees farenheit afternoon service is cancelled in either 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 C line which connects the A line, is delayed When service on the 3 line is cancelled, service on the B line which connects the 3 line is delayed.
(A) 2 (B) 3 (C) 4 (D) 5 Ans. D
(A) 2 (B) 3 (C) 4 (D) 5 Ans. C
(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 farenheit
I. A grandfather born Red II. A grandmother born Red III Two grandfathers born Brown
(A) An uncle in either group (B) A brown daughter (C) A brown son (D) A son-in-law born into red group Ans. A
(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-husband
(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.
(a) 2 (b) 3 (c) 4 (d) 5 (e) 6 Ans: (c)
(a) i only (b) ii only (c) iii only (d) both i and iii Ans: (c)
(a) I only (b) II only (c) III only (d) I & II only (e) I&II&III Ans: (e)
Find x+2y (i). x+y=10 (ii). 2x+4y=20 Ans: (b
Is angle BAC is a right angle (i) AB=2BC (2) BC=1.5AC Ans: (e)
Is x greater than y (i) x=2k (ii) k=2y Ans: (e)
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