EYMOLOGIES9(www.etymonline.com)

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-ability Look up -ability at Dictionary.com
suffix expressing ability or capacity, from L. -abilitas, forming nouns from adjs. ending in -abilis (see -able). Not etymologically related to ability, though popularly connected with it.
-able Look up -able at Dictionary.com
suffix expressing ability, capacity, fitness, from L. -ibilis, -abilis, forming adjectives from verbs, from PIE *-tro-, a suffix used to form nouns of instrument. In L., infinitives in -are took -abilis, others -ibilis; in Eng., -able is used for native words, -ible for words of obvious L. origin. The Latin suffix is not etymologically connected with able, but it long has been popularly associated with it, and this has contributed to its survival as a living suffix. It is related to the second syllable of rudder and saddle.
-acea Look up -acea at Dictionary.com
suffix denoting orders and classes in zoology, from L. -acea, neut. pl. of -aceus "belonging to, of the nature of" (enlarged from adj. suffix -ax, gen. -acis); neut. pl. because of a presumed animalia, a neuter plural noun. Thus, crustacea "shellfish" are *crustacea animalia "crusty animals." In botany, the suffix is -aceae, from the fem. pl. of -aceus, with reference to L. plantae, which is a fem. plural.
-ad Look up -ad at Dictionary.com
suffix denoting collective numerals (cf. Olympiad), from Gk. -as (gen. -ados), a suffix forming fem. nouns; also used in fem. patronymics (Dryad, Naiad, also, in plural, Pleiades, Hyades).
-ado Look up -ado at Dictionary.com
in commando, desperado, tornado,, and other words of Sp. and Port. origin, "person or group participating in an action," from L. -atus, pp. suffix of verbs of the first conjugation (cf. -ade).
-age Look up -age at Dictionary.com
suffix forming nouns of act, process, function, condition, from O.Fr./Fr. -age, from L.L. -aticum "belonging to, related to," originally neut. adj. suffix, from L. -atus, pp. suffix of verbs of the first conjugation.
-aholic Look up -aholic at Dictionary.com
abstracted from alcoholic first in sugarholic (1965), later in workaholic (1968), golfaholic (1971), chocoholic (1976), and shopaholic (1984).
-algia Look up -algia at Dictionary.com
suffix denoting "pain," from Gk. algos "pain," algein "to feel pain," of unknown origin. Related to alegein "to care about," originally "to feel pain."
-archy Look up -archy at Dictionary.com
suffix meaning "rule," from L. -archia, from Gk. -arkhia, from arkhos "leader, chief, ruler," from arkhe "beginning, origin, first place" (see archon).
-aster Look up -aster at Dictionary.com
suffix expressing incomplete resemblance (e.g. poetaster), usually dim. and deprecatory, from L., from Gk. -aster, suffix originally forming nouns from verbs ending in -azein, later generalized as a pejorative suffix, e.g. patraster "he who plays the father."
a (1) Look up a at Dictionary.com
indefinite article, c.1150, a variation of O.E. an (see an) in which the -n- began to disappear before consonants, a process mostly complete by 1340. The -n- also was retained before words beginning with a sounded -h- until c.1600; it still is retained by many writers before unaccented syllables in h- or (e)u-, but is now no longer normally spoken as such. The -n- also lingered (especially in southern England dialect) before -w- and -y- through 15c.
a (2) Look up a at Dictionary.com
as in twice a day, etc., is from O.E. an "on," in this case "on each." The sense was extended from time to measure, price, place, etc. The habit of tacking a onto a gerund (as in a-hunting we will go) died out 18c.
a capella Look up a capella at Dictionary.com
1876, earlier alla capella (1847), from It., "in the manner of the chapel," lit. "according to the chapel," from cappella "chapel." Originally in ref. to older church music (pre-1600) which was written for unaccompanied voices; applied 20c. to unaccompanied vocal music generally.
a priori Look up a priori at Dictionary.com
1710, "from cause to effect" (a logical term, in ref. to reasoning), from L., lit. "from what comes first," from priori, abl. of prior "first" (see prior (adj.)). Used loosely for "in accordance with previous knowledge" (1834).
A&P Look up A&P at Dictionary.com
U.S. grocery chain, originally The Great Atlantic and Pacific Tea Company, founded 1859 by George Huntington Hartford and George Gilman.
a- (1) Look up a- at Dictionary.com
in native (derived from O.E.) words, it most commonly represents O.E. an "on" (see a (2)), as in alive, asleep, abroad, ashore, etc., forming adjectives and adverbs from nouns; but it also can be M.E. of, as in anew, abreast (1599); or a reduced form of O.E. pp. prefix ge-, as in aware; or the O.E. intens. a-, as in arise, awake, ashame, marking a verb as momentary, a single event. In words from Romanic languages, often it represents L. ad- "to, at."

"[I]t naturally happened that all these a- prefixes were at length confusedly lumped together in idea, and the resultant a- looked upon as vaguely intensive, rhetorical, euphonic, or even archaic, and wholly otiose." [OED]

a- (2) Look up a- at Dictionary.com
prefix meaning "not," from L. a-, short for ab "away from" (cf. avert), or its cognate, Gk. a-, short for apo "away from, from," both cognate with Skt. apa "away from," Goth. af, O.E. of.
a- (3) Look up a- at Dictionary.com
prefix meaning "not," from Gk. a-, an- "not," from PIE base *ne "not" (see un-).
A-1 Look up A-1 at Dictionary.com
in figurative sense of "first-rate," 1837, is from Lloyd's of London designation for ships in first-class condition.
A-frame Look up A-frame at Dictionary.com
type of framework shaped like the letter A, 1909; in building construction, attested from 1932.
A-line Look up A-line at Dictionary.com
descriptive of a dress or skirt flared in shape of a letter "A," 1955, in ref. to Christian Dior.
A-OK Look up A-OK at Dictionary.com
1961, abbreviation of all (systems) OK, originally in the jargon of astronauts. See OK.
A.D. Look up A.D. at Dictionary.com
1579, from L. Anno Domini "Year of the Lord." First put forth by Dionysius Exiguus in 527 or 533 C.E., but at first used only for Church business. Introduced in Italy in 7c., France (partially) in 8c. In England, first found in a charter of 680 C.E. Ordained for all ecclesiastical documents in England by the Council of Chelsea, July 27, 816. The resistance to it may have been in part because Dionysius chose 754 A.U.C. as the birth year of Jesus, while many early Christians would have thought it was 750 A.U.C. [See John J. Bond, "Handy-Book of Rules and Tables for Verifying Dates With the Christian Era," 4th ed., London: George Bell & Sons, 1889]
a.k.a. Look up a.k.a. at Dictionary.com
acronym for also known as; according to OED and other sources, first recorded 1955, Amer.Eng., but it is attested in legal documents from at least 1936 [cf. 4 Conn. Supp. 327, 1936 Conn. Super. LEXIS 205: GENERAL BAKING COMPANY vs. HYMAN KAPLAN (a.k.a. HYMAN I. KAPLAN)]. The OED reference date may be for non-legalese usage.
A.M. Look up A.M. at Dictionary.com
1762, abbreviation of L. ante meridiem "before noon."
a.m. Look up a.m. at Dictionary.com
type of radio wave broadcast; see amplitude.
a.s.a.p. Look up a.s.a.p. at Dictionary.com
"as soon as possible," 1955, originally U.S. Army slang.
aardvark Look up aardvark at Dictionary.com
1833, from Afrikaans Du., lit. "earth-pig" (the animal burrows), from aard "earth" (see earth) + vark "pig," cognate with O.H.G. farah (cf. Ger. Ferkel "young pig, sucking pig," a dim. form), O.E. fearh (see farrow).
Aaron Look up Aaron at Dictionary.com
masc. proper name, in O.T., brother of Moses, from Heb. Aharon, probably of Egyptian origin. The Arabic form is Harun.
aback Look up aback at Dictionary.com
O.E. on bæc, "at or on the back." Now surviving mainly in taken aback, originally a nautical expression for a sudden change of wind that flattens the square sails back against the masts and stops the forward motion of a ship (1754). The figurative sense is first recorded 1840.
abacus Look up abacus at Dictionary.com
1387, "sand table for drawing, calculating, etc.," from L. abacus, from Gk. abax (gen. abakos) "counting table," from Heb. abaq "dust," from root a-b-q "to fly off." Originally a drawing board covered with dust or sand that could be written on to do mathematical equations. Specific reference to a counting frame is 17c. or later.
Abaddon Look up Abaddon at Dictionary.com
c.1382, used in Rev. ix.11 of "the angel of the bottomless pit," and by Milton of the pit itself, from Heb. Abhaddon "destruction," from abhadh "he perished." The Gk. form was Apollyon (q.v.).
abaft Look up abaft at Dictionary.com
O.E. on bæftan "backwards," the second component itself a compound of be "by" + æftan "aft" (see aft). Since M.E. used exclusively of ships, the stern being the "after" part of a vessel.
abalone Look up abalone at Dictionary.com
1850, Amer.Eng., from Sp. abulon from Costanoan (a California coastal Indian language family) aluan "red abalone."
abandon Look up abandon at Dictionary.com
1375, "to subjugate, subdue," from O.Fr. abandoner "surrender," from à "at, to" + bandon "power, jurisdiction," in phrase mettre à bandon "to give up to a public ban," from L. bannum, "proclamation," from a Frankish word related to ban (v.). Etymologically, the word carries a sense of "put someone under someone else's control." Meaning "to give up absolutely" is from 1386. The noun sense of "letting loose, surrender to natural impulses" (1822) is from Fr. abandon.
abase Look up abase at Dictionary.com
1393, abaishen, from O.Fr. à bassier "make lower," from V.L. *ad bassiare "bring lower," from L.L. bassus "thick, fat, low;" from the same source as base (adj.) and altered in Eng. by influence of it, which made it an exception to the rule that O.Fr. verbs with stem -iss- enter Eng. as -ish.
abash Look up abash at Dictionary.com
c.1303, from O.Fr. esbaiss-, stem of esbaer "gape with astonishment," from es "out" + ba(y)er "to be open, gape," from L. *batare "to yawn, gape," from root *bat, possibly imitative of yawning. Bashful is 16c. derivative.
abate Look up abate at Dictionary.com
c.1270, from O.Fr. abattre "beat down," from L. ad "to" + battuere "to beat" (see batter (v.)). Secondary sense of "to fell, slaughter" is in abatis and abattoir.
abatis Look up abatis at Dictionary.com
"defense made of felled trees," 1766, from Fr., lit. "things thrown down," from O.Fr. abateis, from abattre "to beat down, throw down" (see abate).
abattoir Look up abattoir at Dictionary.com
"slaughterhouse for cows," 1820, from Fr. abattre "to beat down" (see abate).
Abbassid Look up Abbassid at Dictionary.com
dynasty of caliphs of Baghdad (750-1258) claiming descent from Abbas (566-652), uncle of Muhammad. For his name, see abbot.
abbé Look up abbé at Dictionary.com
1530, title given in France to "every one who wears an ecclesiastical dress," especially one having no assigned ecclesiastical duty, from Fr., from L.L. abbatem, acc. of abbas (see abbot).
abbess Look up abbess at Dictionary.com
1297, abbese, from O.Fr. abbesse, from L.L. abbatissa, fem. of abbas (see abbot).
abbey Look up abbey at Dictionary.com
1250, "convent headed by an abbot or abbess," from Anglo-Fr. abbeie, from O.Fr. abaie, from L.L. abbatia, from abbas (gen. abbatis); see abbot.
abbot Look up abbot at Dictionary.com
O.E. abbud, from L. abbatem (nom. abbas), from Gk. abbas, from Aramaic abba, title of honor, lit. "the father, my father," emphatic state of abh "father." The L. fem. abbatissa is root of abbess.
abbreviation Look up abbreviation at Dictionary.com
1460, from M.Fr. abréviation, from L.L. abbreviationem (nom. abbreviatio), from pp. of abbreviare "make brief," from L. ad "to" + breviare "shorten," from brevis "short, low, little, shallow" (see brief (adj.)).
Abderian laughter Look up Abderian laughter at Dictionary.com
from Abdera, in Thrace, whose citizens were considered rustic simpletons who would laugh at anything or anyone they didn't understand (making their town the Hellenic equivalent of Gotham).
abdicate Look up abdicate at Dictionary.com
1541, "to disown, disinherit (children)," from L. abdicatus, pp. of abdicare "disown, disinherit" (specifically abdicare magistratu "renounce office"), from ab- "away" + dicare "proclaim," from stem of dicere "to speak, to say" (see diction). Meaning "divest oneself of office" first recorded 1618.
abdomen Look up abdomen at Dictionary.com
1541, "belly fat," from L., "belly," originally "lower belly," perhaps from abdere "conceal," with a sense of "concealment of the viscera," or else "what is concealed" by proper dress. Purely anatomical sense is from 1615. Biological sense of "posterior division of the bodies of arthropods" first recorded 1788.
abduct Look up abduct at Dictionary.com
"to kidnap," 1834, altered from abduce "to draw away" by persuasion (1537), from L. abducere "lead away," from ab- "away" + ducere "to lead" (see duke). Abduction is first recorded 1626 in lit. sense of "a leading away;" the illegal activity so called from 1768. In the Mercian hymns, L. abductione is glossed by O.E. wiðlaednisse.

GRE MATERIAL

Aptitude-Puzzles for freshers

Aptitude-Puzzles for freshers

By admin on June 26th, 2008

Puzzles

Introduction:

Puzzles are dealt in a detailed manner with certain solutions.Different puzzles are gathered from ShakuntalaDevi’s puzzle books. Keeping in mind certain puzzles for Infosys some
reasoning problems are also dealt. Puzzle name at the top of each problem will give a brief idea regarding the mode of application.

SELECTING A CANDIDATE
For an advertisement of six local posts,twelve persons applied for the job.Can you tell in how many different ways the selection can be made?

Solution:
6^12

SET OF BAT AND BALL

When I wanted to buy a bat and ball, the shopkeeper said they would together cost Rs.3.75.But I did not want to buy a ball.The shopkeeper said that bat would cost 75paise more than the ball.What was the cost of bat and the ball?

Soluton:
Given that bat and ball together cost Rs.3.75 = 375paise
Let cost of the ball alone be x.
Given cost of the bat is 75p greater than cost of the ball.
So cost of the bat = x+75
x+x+75 = 375
2x = 375 – 75
2x = 300
x = 150p
Hence cost of the ball = Rs.1.50
=>Cost of the bat = 1.50 + 75 = Rs.2.25

PLAYING CHILDREN

A group of boys and girls are playing.15 boys leave.There remain 2 girls for each boy.Then 45 girls leave.There remain 5 boys for each girl.How many boys were in the orginal group?

Solution:
Let B and G represent no.of boys and girls in the original group
respectively.
G ———> 2
B-15 ———-> 1
G/B-15 = 2/1
i.e., 2 girls are left for 15 boys who are alone.
G-45 ——————–>1
B-15 ————————->5
5 boys are left out when 15 girls are alone.
=>G/B-15=2/1 ——————————–(1)
=>G-45/B-15 =1/5 —————————-(2)
(1) & (2) =>
G = 2B-30
5G – 225 = B - 15
5 ( 2B – 30 ) = B – 15 + 225
10B = B – 15 + 225 + 150
9B = 360
B = 40
(1)=> G/40-15 = 2
G=50 girls.

Problems

1.Reshma appeared for a maths exam.She was given 100 problems to solve.She tried to solve all of them correctly but some went wrong.But she scored 85. Her score was calculated by subtracting
two times th no.of wrong answers from the no.of correct answers.How many problems did Reshma do correctly?

Soluton:
Assume W as wrong answers and R as correct answers
Given total no.of questions as 100
R+W=100 —————————(1)
Score is calculated by subtracting 2 times wrong answers(2W)
from right answers(R) and given as 85
R-2W=85 ——————————-(2)
(2)-(1)
R-2W=85
R+W=100
———————
W=5
Hence,100-5=95 is the no.of correct answers of Reshma.

2.A RUNNNG RACE
Sneha,Shilpa,Sushma join a running race.The distance is 1500 metres.Sneha beats Shilpa by 30 metres and Sushma by 100 metres.By how much could Shilpa beat Sushma over the full distance if they both ran as before?

Solution:
Total distance covered by Sneha=1500m
Shilpa=1500-30=1470
Sneha =1500-100=1400
Distance covered by Shilpa=1500*1400/1470=1428.6
Distance to be covered by Shilpa to beat Sushma over full distance
1500-1428.6=71.4m

3.FILLING A CISTERN
Pipe S1 can fill a cistern in 2 hours and pipe S2 in 3 hours.Pipe S3 can empty it in 5 hours.Supposing all the pipes are turned on when the cistern is competely empty,how long will it take to fill?

Solution:
S1 fills cistern in 1/2 hours
S2 fills cistern in 1/3 hours
S3 empties it in 1/5 hours
A the pipes S1,S2,S3 working i.e.,filling the cistern
1/2+1/3-1/5=15+10-6/30=25-6/30=19/30
No.of hours to fill=30/19=1 11\19hours.

4.SEQUENCE PROBLEMS
What are the next two terms in the sequence?1,1,5,17,61,217………

Solution:
The order in this cases is
Tn=3*Tn-1 +2*Tn-2
= 3(217)+2(61)
= 773
Tn+1=3(773)+2(271)
=2319+542
=2753

5.SEQUENCES
What are the next two terms in the sequence?
1,1,5,17,61,217……………..

Solution:
Tn=3Tn-1+2Tn-2
=3(217)+2(61)
=773
Tn+1=3(773)+2(217)=2753

6.What are the next three terms to the series?
1+3+7+15+31+63………..

Solution:
Actual term is 2exp n-1.
The next three terms are:
2exp7-1=127
2exp8-1=255
2exp9-1=511

7.A PROBLEM OF SHOPPING
Samsrita went out for shopping by taking with her Rs.15/- in one rupee notes and 20p coins.On return she had as many one rupee notes as she originally had and as many 20p coins as she had one rupee
notes.She came back with 1/3rd with what she had.How much did Samsrita spend and how much did she take?

Solution:
Let x be no.of rupee notes y be no.of 20pcoins.
So,when going for shopping 100x+20y paise were there with Samsrita.
On return she had 100y+20x paise.
Also it is given that she had 1/3 rd of the orginal amount.
1/3(10x+20y)=100y+20x
=>4x=280y
=>x=7y
y=1 => x=7 total =7.20 <15
y=2 =>x=14 total=14.40~=15
y=3 =>x=21 total=21.60 >>15
Hence the suitable value nearer to the amunt is 14.40 and so is the
amount Samsrita carried with her.
1/3(1440)=480paise.
Rs.4.80/- is amount spent by Samsrita.

8.A PUZZLE OF CULTURAL GROUPS
Literary,Dramatic,Musical,Dancing and Painting are the 5 groups of a club.Literary group meets every other day,dramatic every third day,musical every fourth day,dancing every fifth day,painting every
sixth day.Five groups meet on NewYears day of 1975 and starting from that day they met regularly on schedule. How many times did all the 5 groups meet on same day in first quarter excluding
Jan1,1975.How many days did none of them met?

Solution:
LCM of 2,3,4,5,6 is 60.
Hence excluding Jan1,1975 they met on every 61st day.
60/2=30 60/3=20 60/4=15 60/5=12 60/6=10
Literary meet for 30 2 day intervals.
Dramatic meet for 20 3 day intervals.
Musical meet for 15 4 day intervals.
Dancing meet for 12 5 day intervals.
Paintng meet for 10 6 day intervals.
First quartr implies 3 months with 90 days.
so inorder to a nswer that how many days do they don/t meet
atleast once in first quarter is got by rounding all other categories.
By counting all the intervals for other groups no.of days in
Jan 8,Feb 7,Mar 9.
Total is 24.

9.STOLEN MANGOES
Three naughty boys stole some mangoes from a garden.Among them one counted and ate one.From the remainder he took precise third and went back to sleep. After sometime second boy woke up,counted the mangoes,ate one,took an exact third of the remaining and went back to sleep. After sometime third boy also did the same.In the morning they found one which was rotten and hence threw it away from the remainder,they made an exact division.How many mangoes did they steal?

Solution:
Let the noof mangoes be x
After the first boy had eaten noof mangoes =x-1
After taking 1/3 rd of remaining it is 2x-2/3
Second boy ate one and tok 1/3 then it is 2(2x-2/3 -1)=4x-10/9
Third boy ate and tok 1/3 as 2(4x-19)/27=8x-38/27
Deducting the rotten one from remaining noogf mangoes left
=8x-38/27=8x-765/27
This is divided among the three equally 8x-65/27=3n
8x=81n+65
Let n be equal to odd number 2b+1
8x=81(2b+1)+65
4x=81b+73
Let b=2c+1
4x=81(2c+1)+73
2x=81c+77
Let c=2d+1
x=81d+79
Least value of x for d=0 is 79
for d=1 is 160
for d=3 is 241
On verfication,79-1=78/3=26
Hence 79 is the correct answer.

10.AN ELECTION PROBLEM
My club had a problem recently.They had to appoint a Ssecretary from among the men and a joint secretary from among the women. We have a membership of 12 men and 10 women.In how many ways can the selection be made?

Solution:
As per the permutations and combinatins concept of mathematics,
out of 12 men one selected as secretary can be done in 12c1 ways
out of 10 women one selected as joint secretary can be done in 10c1 ways
Hence one secrtary and one joint secretary is 12*10=120

11.SNAPPING A PLANE
A plane has a span of 12 metres.It was photographed as it was flying directly overhead with a camera with a depth of 12cm.In the photo the span of the plane was same.Can you tell how higher was the plane when it was snapped?

Solution:
Actual span of the plane was 12m
Span of the plane n photograph was 800m
Depth of the plane is 12000m=12cm
Hence,height of the plane when photographed be x
12000:800 = x:12
x=180m

12.A THRST PROBLEM
Pramatha and Pranathi went camping.They took their own water in bg plastic bottles. Pramatha got thirsty and drank half the water in her bottle.A little later on she drank 1/3 f what was left.Sometime
afterwards she drank 1/4 of what remained and so on Pranathi also had a bottle of the same size.She drank half the bottle at the first instance ,half of what remained when she drank next and so on.
Aftr each took 10 drins ,the water Pramatha left was how many times greatr than the water Pranathi had left?

Soltuion:
Pramatha for the first drink 1/2
for the second drink 1/3
for the third drink 1/4
She drank 10 times and hence by the end of the 10th drink 1/11
of water she had in the bottle was over.
Pranathi for the first drink 1/2
for the second drin 1/4
for the third drink 1/8
So Pranathi as per the given information has drunk 1/1024 of water
she had in the bottle.
Water left for Pramatha/Water left for Pranathi=1/11 / 1/1024 =1024/11

13.NAME OF THE EXCHANGE
In GreatBritain some years ago the first threeletters of a telephone number usd to indicate the name of the exchangeHow many such arrangements of 3 letters is it possible to devise from the 26
letters of the alphabet?

Solution:
For permutations the no.of ways to select is npr=n!/(n-r)!
Hence out of 26 letters the possible outcomes are 26p3=26!/23!=15600

14.VALUE OF THE SERIES
Take a good look at the following series.
1-1/3+1/5-1/7+1/9-1/11+1/13………………..
Find the value of the series and multiply the answer by 4.You will notce that a well-known vale approximates this product.Even more interestng is that as you add more terms the approximation becomes closer.

Solution:
Ths is an Arithmetic progresson with value .76 when two terms
added becomes .77 and multiplidd by 4 it becomes 3.04 and 3.08
repeatition it is 3.14 which pi value adjusted to 2 decimals.

15.PLANTING TREES
If you wished to plant some trees so that each was equidistant from every pther tree,what is the largest number you would plant?

Solution:
From the above informatin,as per equidstant formula of triangle,it is
an equilateral triangle.
Planting at all the three corners only 3 can be planted.
The centroid is the middle point placed exactly equidistant from
all the corners.
Hence 4 plants can be planted at euqidistant.

16.LENGTH OF A TRAIN
A train is travelling at the speed of 96 kmph.It takes 3 seconds to enter a tunnel and 30 seconds more to pass thorugh it completely.What is the length of the train and the tunnel?

Solution:
Speed of the train=95*5/18 m/sec
Time taken=3ssec
Length of the train=96*5/18*3=80m
Length of the tunnel=96*5/18*30=800m

17.A GAME OF BILLIARDS
Rajv,Sanjiv,Vinay were playing a game of Billiards.Rajiv can give Sanjiv 10 points in 50 and Sanjiv can give 10 points in 50.How many points in 50 must Rajiv gve Sanjiv to make an even game?

Solution:
Rajiv 50 Sanjiv 40
Sanjiv 50 Vinay 40
Sanjiv 40 Vinay 40*40/50=32
Rajiv 50 Sanjiv 40 Vinay 32
Rajiv gains 18 points than Vinay (50-32=18)

18.WOMEN AT CLUB SOCIALS
Women outnumbered men by 16 at a club social.Seventimes the no.of women exceeds nine times the no.of men by 32.What was the number of men and women at club?

Solution:
Let W and M be the no.of women and men respectively.
Given W=M+16……………..(1)
7W=9M+32…………….(2)
7*(1)=>7W=7M+112……..(3)
(3)-(2) =>M=40
W=56

19.FILLING WINE IN BARRELS
A friend of mine in London has a very nice cellar.He has two large barrels in the cellar.The larger barrel is mostly empty.But the smaller barrel is only 5/6 th full f wine while it can hold 536 litres.Supposing he empties the smaller barrel and fills the bigger barrel to find that the wine fills only 4/9 of it.How much
wine would the larger barrel hold when full?

Solution:
5/6——————-536
4/9——————-?
5/6*536=4/9*x
=>x=1005 litrs

20.WEIGHT OF A BRICK
We have a brick of regular size.It weighs 4 kilograms.How much do you think asmaller brick four times small, but made of the same material weigh?

Solution:
The weight of the given brick = 4 Kilograms = 4000 grams
It is given that the smaller brick’s volume is 4 times smaller
than the given one.
The volume of smaller brick = 4 * 4 * 4 = 64 times smaller
The smaller brick’s weight = 4000/64 = 62.5 grams

Placement exams companies like infosys,tcs,cts - aptitude questions

Placement exams companies like infosys,tcs,cts - aptitude questions

By admin on June 28th, 2008

Aptitude Questions
1.One of the following is my secret word:AIM DUE MOD OAT TIE.With the list in front of you, if I were to tell you any one of my secret word, then you would be able to tell me the number of vowels in my secret word.Which is my secret word?
Ans.TIE

2.In the following figure:A B C
D
E F G
H
I
Each of the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 is:
a)Represented by a different letter in the figure above.
b)Positioned in the figure above so that each of A + B + C,C + D +E,E + F + G, and G + H + I is equal to 13.
Which digit does E represent?

Ans.E is 4

3.One of Mr. Horton, his wife, their son, and Mr. Horton’s mother is a doctor and another is a lawyer.
a)If the doctor is younger than the lawyer, then the doctor and the lawyer are not blood relatives.
b)If the doctor is a woman, then the doctor and the lawyer are blood relatives.
c)If the lawyer is a man, then the doctor is a man.
Whose occupation you know?

Ans.Mr. Horton:he is the doctor.

4.Here is a picture of two cubes:

a)The two cubes are exactly alike.
b)The hidden faces indicated by the dots have the same alphabet on them.
Which alphabet-q, r, w, or k is on the faces indicated by the dots?

Ans.q

5.In the following figure:
A D
B G E
C F
Each of the seven digits from 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 is:
a)Represented by a different letter in the figure above.
b)Positioned in the figure above so that A*B*C,B*G*E, and D*E*F are equal.
Which digit does G represent?

Ans.G represents the digit 2.

6.Mr. and Mrs. Aye and Mr. and Mrs. Bee competed in a chess tournament.Of the three games played:
a)In only the first game werethe two players married to each other.
b)The men won two games and the women won one game.
c)The Ayes won more games than the Bees.
d)Anyone who lost game did not play the subsequent game.
Who did not lose a game?

Ans.Mrs.Bee did not lose a game.

7.Three piles of chips–pile I consists one chip, pile II consists of chips, and pile III consists of three chips–are to be used in game played by Anita and Brinda.The game requires:
a)That each player in turn take only one chip or all chips from just one pile.
b)That the player who has to take the last chip loses.
c)That Anita now have her turn.
From which pile should Anita draw in order to win?

Ans.Pile II

8.Of Abdul, Binoy, and Chandini:
a)Each member belongs to the Tee family whose members always tell the truth or to the El family whose members always lie.
b)Abdul says ”Either I belong or Binoy belongs to a different family from the other two.”
Whose family do you name of?

Ans.Binoy’s family–El.

9.In a class composed of x girls and y boys what part of the class is composed of girls

A.y/(x + y)
B.x/xy
C.x/(x + y)
D.y/xy

Ans.C

10.What is the maximum number of half-pint bottles of cream that can be filled with a 4-gallon can of cream(2 pt.=1 qt. and 4 qt.=1 gal)

A.16
B.24
C.30
D.64

Ans.D

11.If the operation,^ is defined by the equation x ^ y = 2x + y,what is the value of a in 2 ^ a = a ^ 3

A.0
B.1
C.-1
D.4

Ans.B

12.A coffee shop blends 2 kinds of coffee,putting in 2 parts of a 33p. a gm. grade to 1 part of a 24p. a gm.If the mixture is changed to 1 part of the 33p. a gm. to 2 parts of the less expensive grade,how much will the shop save in blending 100 gms.

A.Rs.90
B.Rs.1.00
C.Rs.3.00
D.Rs.8.00

Ans.C

13.There are 200 questions on a 3 hr examination.Among these questions are 50 mathematics problems.It is suggested that twice as much time be spent on each maths problem as for each other question.How many minutes should be spent on mathematics problems

A.36
B.72
C.60
D.100

Ans.B

14.In a group of 15,7 have studied Latin, 8 have studied Greek, and 3 have not studied either.How many of these studied both Latin and Greek

A.0
B.3
C.4
D.5

Ans.B

15.If 13 = 13w/(1-w) ,then (2w)2 =

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

Ans.C

16. If a and b are positive integers and (a-b)/3.5 = 4/7, then
(A) b < a
(B) b > a
(C) b = a
(D) b >= a
Ans. A

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. M men agree to purchase a gift for Rs. D. If three men drop out how much more will each have to contribute towards the purchase of the gift/
A. D/(M-3)
B. MD/3
C. M/(D-3)
D. 3D/(M2-3M)
Ans. D

19. A company contracts to paint 3 houses. Mr. Brown can paint a house in 6 days while Mr. Black would take 8 days and Mr. Blue 12 days. After 8 days Mr. Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr. Blue to complete the contract?
A. 7
B. 8
C. 11
D. 12

Ans.C

20. 2 hours after a freight train leaves Delhi a passenger train leaves the same station traveling in the same direction at an average speed of 16 km/hr. After traveling 4 hrs the passenger train overtakes the freight train. The average speed of the freight train was?
A. 30
B. 40
C.58
D. 60
Ans. B

21. If 9x-3y=12 and 3x-5y=7 then 6x-2y = ?
A.-5
B. 4
C. 2
D. 8
Ans. D

22. There are 5 red shoes, 4 green shoes. If one draw randomly a shoe what is the probability of getting a red shoe

Ans 5c1/ 9c1

23. What is the selling price of a car? If the cost of the car is Rs.60 and a profit of 10% over selling price is earned

Ans: Rs 66/-

24. 1/3 of girls, 1/2 of boys go to canteen. What factor and total number of classmates go to canteen.

Ans: Cannot be determined.

25. The price of a product is reduced by 30% . By what percentage should it be increased to make it 100%

Ans: 42.857%

26. There is a square of side 6cm . A circle is inscribed inside the square. Find the ratio of the area of circle to square.
Ans. 11/14

27. There are two candles of equal lengths and of different thickness. The thicker one lasts of six hours. The thinner 2 hours less than the thicker one. Ramesh lights the two candles at the same time. When he went to bed he saw the thicker one is twice the length of the thinner one. How long ago did Ramesh light the two candles .

Ans: 3 hours.

28. If M/N = 6/5,then 3M+2N = ?
29. If p/q = 5/4 , then 2p+q= ?
30. If PQRST is a parallelogram what it the ratio of triangle PQS & parallelogram PQRST .
Ans: 1:2

31. The cost of an item is Rs 12.60. If the profit is 10% over selling price what is the selling price ?
Ans: Rs 13.86/-

32. There are 6 red shoes & 4 green shoes . If two of red shoes are drawn what is the probability of getting red shoes
Ans: 6c2/10c2

33. To 15 lts of water containing 20% alcohol, we add 5 lts of pure water. What is % alcohol.
Ans : 15%

34. A worker is paid Rs.20/- for a full days work. He works 1,1/3,2/3,1/8.3/4 days in a week. What is the total amount paid for that worker ?
Ans : 57.50

35. If the value of x lies between 0 & 1 which of the following is the largest?
(a) x
(b) x2
(c) -x
(d) 1/x

Ans : (d)

36. If the total distance of a journey is 120 km .If one goes by 60 kmph and comes back at 40kmph what is the average speed during the journey?
Ans: 48kmph

37. A school has 30% students from Maharashtra .Out of these 20% are Bombey students. Find the total percentage of Bombay?
Ans: 6%

38. An equilateral triangle of sides 3 inch each is given. How many equilateral triangles of side 1 inch can be formed from it?
Ans: 9

39. If A/B = 3/5,then 15A =?
Ans: 9B

40. Each side of a rectangle is increased by 100% .By what percentage does the area increase?

APTITUDE-FOR FRESHERS

Aptitude Questions

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 these
Ans. (a)

4.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 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?
Ans.46 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.

15 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.

16. 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.

17. If Log2 x - 5 Log x + 6 = 0, then what would the value / values of x be?
Ans. x = e2 or e3.

18. The square of a two digit number is divided by half the number. After 36 is added to the quotient, this sum is then divided by 2. The digits of the resulting number are the same as those in the original number, but they are in reverse order. The ten’s place of the original number is equal to twice the difference between its digits. What is the number?
Ans. 46

19.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.

20.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?
Ans.18 hours.

21. What is the missing number in this series? 8 2 14 6 11 ? 14 6 18 12
Ans. 9

22. 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.

23. 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.

24. 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.

25. 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.

26. If it takes five minutes to boil one egg, how long will it take to boil four eggs?
Ans. Five minutes.

27. 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.

28. 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.

29. 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 %.

30. Find the least value of 3x + 4y if x2y3 = 6.
Ans. 10.

31. Can you find out what day of the week was January 12, 1979?
Ans. Friday.

32. 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.

33. 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?
Ans. 3720.

34. 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.

35. A person walking 5/6 of his usual rate is 40 minutes late. What is his usual time? Ans. 3 hours 20 minutes.

36.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.

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 heavy on the toll free highway

Ans. (a)

2. 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)

3. 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)

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 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)

37.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

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)

38.
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)

39.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)

40.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)

41. 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
1.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.B

2.If C and F are moved to the new office,how many combinations are possible

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

Ans.A

3.If 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.B

4.Under the guidelines developed,which of the following must go to the new office

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

Ans.A

5.If 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

42.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.
1.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

2.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

3.If A ,B and D appear for the interview and D is called for additional interview the following week,which 2 candidates may be asked to appear with D?

I. A
II B
III.C
IV.E
A.I and II
B.I and III only
C.II and III only
D.III and IV only

Ans.D

4.Which of the following correctly state(s) the procedure followed by the search committee

I.After the second interview all applicants have appeared at least once
II.The committee sees each applicant a second time
III.If a third session,it is possible for all applicants to appear at least twice

A.I only
B.II only
C.III only
D.Both I and II

Ans.A

43. 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 delayed
When 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 the3 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.
Q1. 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

Q2. On Aug 15th with the temperature at 97 degrees farenheit it begins to rain at 1 PM. What is the minimum number
of lines on which service will be affected?
(A) 2
(B) 3
(C) 4
(D) 5
Ans. C

Q3. On which of the following occasions would service be on the greatest number of 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 farenheit
Ans. B

44. In a certain society, there are two marriage groups, red and brown. No marriage is permitted within a group. On marriage, males become part of their wives groups; women remain in their own group. Children belong to the same group as their parents. Widowers and divorced males revert to the group of their birth. Marriage to more than one person at the same time and marriage to a direct descendant are forbidden
Q1. A brown female could have had
I. A grandfather born Red
II. A grandmother born Red
III Two grandfathers born Brown
(A) I only
(B) III only
(C) I, II and III
(D) I and II only
Ans. D

Q2. 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. A

Q3. 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-husband
Ans. B

Q4. If widowers and divorced males retained their group they had upon marrying which 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

Q5. I. All G’s are H’s
II. All G’s are J’s or K’s
III All J’s and K’s are G’s
IV All L’s are K’s
V All N’s are M’s
VI No M’s are G’s

45. There are six steps that lead from the first to the second floor. No two people can be on the same step
Mr. A is two steps below Mr. C
Mr. B is a step next to Mr. D
Only 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 which step 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 false

i. B&D can be both on odd-numbered steps in one configuration
ii. In a particular configuration A and C must either both an odd numbered steps or both an even-numbered steps
iii. 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)

46. 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 & D
iii. A is behind D & E
iv. B is ahead of E , with one swimmer intervening
v. F is a head of D
1. 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 swimmer B finishes in which place
(a) 1
(b) 2
(c) 3
(d) 4
(e) 5
Ans: (b)

47. Five houses lettered A,B,C,D, & E are built in a row next to each other. The houses are lined up in the order A,B,C,D, & E. Each of the five houses has a colored 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 chimney
1. 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 roofs
Ans: (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 chimney
Ans: (a)
4. Which possible combinations of roof & chimney can house
I. A red roof 7 a black chimney
II. A yellow roof & a red chimney
III. 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)

48. Find x+2y
(i). x+y=10
(ii). 2x+4y=20
Ans: (b)

49. Is angle BAC is a right angle
(i) AB=2BC
(2) BC=1.5AC
Ans: (e)

50. Is x greater than y
(i) x=2k
(ii) k=2y
Ans: (e)