syllogism 1

8/3/2019 Syllogism 1

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Converting Statements to Syllogistic Form

We want to see how we can rephrase statements so that they fit the form used in standard

syllogisms. Answer the questions below and then click "submit" to send your answers.--------------------------------------------------------------------------------

"Only good students will succeed" is equivalent to

Your answer:Anyone not succeeding is not a good student.

Any good student will succeed.

All the good students will succeed.

Everyone who succeeds is a good student.-------------------------------------------------------------------------------

"There are happy students who have passed the test" is equivalent to

Your answer:

Anybody who is a happy student has passed the test.Unhappy students have not passed the test.

Some who have passed the test are happy students.Somebody who has passed the test is a happy student.

--------------------------------------------------------------------------------

"No one who is rich is unhappy" is equivalent to

Your answer:Only those who are rich are happy.

Everyone happy is rich.

No one unhappy is poor.All who are rich are happy.

--------------------------------------------------------------------------------"Those who do not study will not do well" is equivalent toYour answer:

Only those who did not study did not do well.

Anyone who did not do well was someone who did not study.Everyone who did well was someone who studied.

Everyone who studied was someone who did well.

-------------------------------------------------------------------------------

"No old cars in this lot are expensive" is equivalent toYour answer:

Every old car in this lot is inexpensive.

Any inexpensive car in this lot is old.There are no inexpensive new cars in this lot.

Any new car in this lot is expensive.

--------------------------------------------------------------------------------"Honest politicians cannot get elected for a second term" is equivalent to

Your answer:

Only honest politicians do not get reelected.

Anyone reelected is a dishonest politician.



Anyone not elected for a second term was an honest politician.

Dishonest politicians do get elected for a second term.

-------------------------------------------------------------------------------"Only the old are wise" is equivalent to

Your answer:

Anyone not wise is not old.Each wise person is old.

Anyone old is wise.

Each old person is wise.--------------------------------------------------------------------------------

"Everyone who studies will do well" is equivalent to

Your answer:

There are no people doing well who did not study.Only someone who studied did do well.

There are no people who studied who did not do well.

Someone who did not study did not do well.

--------------------------------------------------------------------------------"We do have examples of hard-working people who are not successful" is equivalent to

Your answer:Some people who work hard do not succeed.

Some people who succeed did not work hard.

Anyone unsuccessful did not work hard.

No one successful is not someone working hard.------------------------------------------------------------------------------

"Hard questions are not always confusing" is equivalent to

Your answer: No hard questions are confusing.

Each hard question is not confusing.

Some hard questions are confusing.Some hard questions are not confusing.

--------------------------------------------------------------------------------

"There are lucky students who did pass the test even though they never studied" isequivalent to

Your answer:

No students who studied are unlucky and did not pass the test.

Some students who did study are unlucky and did not pass the test.Each lucky student who didn't study did pass the test.

Some students who passed the test are lucky and did not study.

--------------------------------------------------------------------------------"Anyone famous is also rich" is equivalent to

Your answer:

No one not famous is rich.Anyone poor is not famous.

No one rich is not famous.

Everyone rich is famous.

-------------------------------------------------------------------------------



"Only those who work hard and save their money will be rich" is equivalent to

Your answer:Everyone poor worked hard but did not save his money.

No one who is poor worked hard and saved his money.

All who are rich worked hard and saved their money.All who work hard and save their money are not poor.

-------------------------------------------------------------------------------

"Each right answer is marked in blue" is an example of Your answer:

an A statement

an E statement

an I statementan O statement

-------------------------------------------------------------------------------

"Some wrong answers are marked in red" is an example of

Your answer:an A statement

an E statementan I statement

an O statement

--------------------------------------------------------------------------------

"Nonstudents are allowed to audit the course" is an example of Your answer:

an A statement

an E statementan I statement

an O statement

--------------------------------------------------------------------------------"Students are not allowed to audit the course" is an example of

Your answer:

an A statementan E statement

an I statement

an O statement

--------------------------------------------------------------------------------"No students are allowed to audit the course" is an example of

Your answer:

an A statementan E statement

an I statement

an O statement-------------------------------------------------------------------------------

"There are nonstudents allowed to audit the course" is an example of

Your answer:

an A statement



an E statement

an I statement

an O statement--------------------------------------------------------------------------------

"There are students not allowed to audit the course" is an example of

Your answer:an A statement

an E statement

an I statementan O statement

Converting Statements to Syllogistic Form

1) "Only good students will succeed" is equivalent to

Your Answer: No answer givenCorrect Answer: Everyone who succeeds is a good student.

2) "There are happy students who have passed the test" is equivalent to

Your Answer: No answer given

Correct Answer: Some who have passed the test are happy students.3) "No one who is rich is unhappy" is equivalent to

Your Answer: No answer givenCorrect Answer: All who are rich are happy.

4) "Those who do not study will not do well" is equivalent to


Correct Answer: Everyone who did well was someone who studied.5) "No old cars in this lot are expensive" is equivalent to


Correct Answer: Every old car in this lot is inexpensive.6) "Honest politicans cannot get elected for a second term" is equivalent to


Correct Answer: Anyone reelected is a dishonest politician.7) "Only the old are wise" is equivalent to


Correct Answer: Each wise person is old.8) "Everyone who studies will do well" is equivalent to


Correct Answer: There are no people who studied who did not do well.

9) "We do have examples of hard-working people who are not successful" is equivalent toYour Answer: No answer given

Correct Answer: Some people who work hard do not succeed.

10) "Hard questions are not always confusing" is equivalent toYour Answer: No answer given

Correct Answer: Some hard questions are not confusing.

11) "There are lucky students who did pass the test even though they never studied" isequivalent to


Correct Answer: Some students who passed the test are lucky and did not study.

12) "Anyone famous is also rich" is equivalent to



not possible

Anyone who works hard will succeed.

Anyone who is ambitious will work hard.--------------------------------------------------------------------------------

Click on the conclusion for a valid syllogism using the other two statements as premises. If

there is no valid conclusion, click on "not possible."Your answer:

Some athletes are honor students.

Some athletes get scholarships.All honor students get scholarships.

not possible

--------------------------------------------------------------------------------------------------------------

Click on the conclusion for a valid syllogism using the other two statements as premises. If there is no valid conclusion, click on "not possible."

Your answer:

All honor students get scholarships

Some math majors are honor students.Some math majors get scholarships.

not possible--------------------------------------------------------------------------------


there is no valid conclusion, click on "not possible."

Your answer:Some honor students get scholarships.

Some chess players get scholarships.

not possibleSome chess players are honor students.

--------------------------------------------------------------------------------


Your answer:

Anyone who is always on vacation is lazy. No logic students are always on vacation.

not possible

No logic students are lazy.

--------------------------------------------------------------------------------Click on the conclusion for a valid syllogism using the other two statements as premises. If


Your answer:not possible

Some athletes are lazy.

No one who is lazy will be successful.Some athletes will not be successful.

--------------------------------------------------------------------------------





Your answer:

not possible

No smokers are rich. No vegetarians are smokers.

No vegetarians are rich.

--------------------------------------------------------------------------------Click on the conclusion for a valid syllogism using the other two statements as premises. If


Your answer:not possible

Every blik is a grimble.

Each grimble will wannow.

Any blik will wannow.--------------------------------------------------------------------------------



Your answer:Any H is F.

not possibleAny H is G.

Any G is F.

--------------------------------------------------------------------------------


Your answer:

Some G is H.Every H is F

not possible

There is a G that is F.--------------------------------------------------------------------------------


there is no valid conclusion, click on "not possible."Your answer:

not possible

No H is G.

Some F is H.Some F is not G.

--------------------------------------------------------------------------------


Your answer:

not possibleThere is no F that is G.

Any H is G.

Any F is H.

--------------------------------------------------------------------------------





Your answer:Some F is not H.

Each F is G.

not possibleSome G is not H.

--------------------------------------------------------------------------------


Your answer:

Whatever is interesting is rewarding.

not possibleLogic is interesting.

Logic is rewarding.

Constructing Syllogisms

1) Click on the conclusion for a valid syllogism using the other two statements as premises.If there is no valid conclusion, click on "not possible."

Correct Answer: Logic is fun.2) Click on the conclusion for a valid syllogism using the other two statements as premises.

If there is no valid conclusion, click on "not possible."

Correct Answer: Anyone who is ambitious will succeed.


Correct Answer: Some athletes get scholarships.


Correct Answer: Some math majors get scholarships.


Correct Answer: not possible


Correct Answer: No logic students are always on vacation.

7) Click on the conclusion for a valid syllogism using the other two statements as premises.

If there is no valid conclusion, click on "not possible."Correct Answer: Some athletes will not be successful.


If there is no valid conclusion, click on "not possible."Correct Answer: not possible


If there is no valid conclusion, click on "not possible."Correct Answer: Any blik will wannow.

10) Click on the conclusion for a valid syllogism using the other two statements as

premises. If there is no valid conclusion, click on "not possible."

Correct Answer: Any H is F.





Correct Answer: There is a G that is F.


premises. If there is no valid conclusion, click on "not possible."Correct Answer: Some F is not G.


premises. If there is no valid conclusion, click on "not possible."Correct Answer: not possible



Correct Answer: Some G is not H.15) Click on the conclusion for a valid syllogism using the other two statements as


Correct Answer: Logic is rewarding.

Analogy test

Chimera Analogies Test

Question 1:Thieves is to Den as Cards is to

A. gameB. deck

C. set

D. group

E. pileF. number

Question 2:

Ranger is to Holmes as Tonto is toA. Tarzan

B. Watson

C. MorganD. Larry



E. Sherlock

F. Perry

Question 3:Wayne is to Duke as O'Neal is to

A. Avenger

B. Slick C. Shaq

D. Biz

E. QuakeF. Rip

Question 4:

String is to Yellow Ribbon as Finger is to

A. wristB. rail

C. red train

D. oak tree

E. finger F. waist

Question 5:

Hair is to Rapunzel as Nose is to

A. ElricB. Donatello

C. Mortis

D. AladdinE. Cyrano

F. Raphael

Question 6:Body is to Helmet as Finger is to

A. nail

B. visor C. glove

D. bandage

E. thimble

F. milieuQuestion 7:

Ear is to Leg as Corn is to

A. tableB. jacamar

C. celery

D. lambE. road

F. cob

Question 8:

Carbon is to 6 as Nitrogen is to



A. 7

B. 8C. 9

D. 10

E. 11F. 12

Question 9:

Caesar is to Lincoln as Brutus, et al is toA. gold

B. Gettysburg

C. Booth

D. Bur E. George

F. Giovani

Question 10:

Aztec is to Inca as Mexico is to

A. BrazilB. Mexico

C. Spain

D. Argentina

E. North AmericaF. Peru

Question 11:

Mike is to Iron as Cal is toA. Quick

B. Cautious

C. CallousD. Lonely

E. Cowardly

F. SilentQuestion 12:

FDR is to New Deal as LBJ is to

A. Great Society

B. Knights of Labor C. Ku Klux Klan

D. Military Industrial Complex

E. Clandestine Order F. Teamsters Union

Question 13:

sun is to day as rise is toA. down

B. crest

C. end

D. break



E. set

F. eclipse

Question 14:Vegetable is to Herb- as Meat is to

A. omni-

B. octa-C. poly-

D. carn-

E. anglo-F. ultra-

Question 15:

Soup is to Vegetables as Blood is to

A. plasmaB. hemoglobin

C. DNA

D. capillaries

E. plateletsF. bacteria

Question 16:Hand is to Smith as Man is to

A. Walker

B. Ellison

C. SmithD. Steinbeck

E. Hobbes

F. ClayQuestion 17:

Same is to Different as Resurrection is to

A. revivalB. resuscitation

C. reconciliation

D. rebornE. reincarnation

F. reverberation

Question 18:

Languages is to Meaning as Philology is toA. erudition

B. philosophy

C. ethicsD. semantics

E. grammar

F. philologyQuestion 19:

Commandments is to 10 as Deadly Sins is to

A. 3

B. 4



C. 5

D. 6

E. 7F. 8

Question 20:

People is to Democracy as Wealthy is toA. oligarchy

B. oligopoly

C. plutocracyD. timocracy

E. autocracy

F. theocracy

Question 21:Bread is to Oven as Pottery is to

A. stove

B. crock

C. baster D. burner

E. cognateF. kiln

Question 22:

Marriage is to Patent as Adultery is to

A. overwritingB. ablution

C. lawsuit

D. repercussionE. chasuble

F. infringement

Question 23:Two is to Sun as Bi- is to

A. di-

B. helio-C. ped-

D. neuro-

E. sym-

F. ambul-Question 24:

Mother is to Matricide as King is to

A. homicideB. sororicide

C. patricide

D. regicideE. fratricide

F. deicide

Question 25:

part is to live as trap is to



A. bear

B. evil

C. springD. pit

E. lever

F. concealedQuestion 26:

Train is to Freight as Ship is to

A. sailingB. abandoned

C. boat

D. equipment

E. carrier F. cargo

Question 27:

Spinach is to Popeye as Hair is to

A. David

B. RapunzelC. Samson

D. Goliath

E. Thor

F. AtlasQuestion 28:

Square is to Octagon as Triangle is to

A. quadrilateralB. octagon

C. pentagon

D. octahedronE. hexagon

F. tetrahedron

Question 29:Ice is to Liquid as Water is to

A. steam

B. gas

C. solidD. meld

E. pool

F. hydrousQuestion 30:

Scarecrow is to Brain as Odysseus is to

A. golden fleeceB. goblet

C. holy grail

D. home

E. hammer



F. Aphrodite

Question 31:

Hubbard is to Goose as Earth is toA. game

B. life

C. cardsD. Marathon

E. wealth

F. TeresaQuestion 32:

Funambulism is to Tightrope walking as Truncheon is to

A. broken sword

B. rusted dagger C. a fool

D. damaged shield

E. crushed helmet

F. shattered spear Question 33:

Ethereal is to Stygian as Erstwhile is toA. officious

B. forbearing

C. former

D. itinerantE. future

F. scholarly

Question 34:Blue is to Deep as Orange is to

A. Luscious

B. LightC. Heavy

D. Poignant

E. Nadir F. Agent

Question 35:

Utopia is to More as Nicomachean Ethics is to

A. KantB. Socrates

C. Bacon

D. ErvingE. Jacobs

F. Aristotle

Question 36:Dizziness is to Vertigo as Tiredness is to

A. imbroglio

B. rallentando

C. fatigue



D. reverence

E. trepidation

F. eidolonQuestion 37:

Dexterity is to Skullduggery as Skill is to

A. eider B. mikado

C. quietus

D. trickeryE. dialectic

F. allergy

Question 38:

Robin is to Batman as Engels is toA. Thomas

B. Marx

C. Louis

D. FreudE. Erickson

F. KingQuestion 39:

Gamble is to Fight as Casino is to

A. lose

B. arenaC. warfare

D. battle

E. swordF. income

Question 40:

Guard is to Thief as Shield is toA. pistol

B. alarm

C. castleD. rain

E. arrow

F. Romans

Question 41:Arrogant is to Bombast as Lazy is to

A. fancier

B. malingerer C. rookie

D. magnetite

E. curvetF. paparazzo

Question 42:

Chinese is to China as Farsi is to

A. Japan



B. Okinawa

C. Korea

D. NigeriaE. Israel

F. Iran

Question 43:Happiness is to Jefferson as Property is to

A. Jefferson

B. JohnsonC. Locke

D. Madison

E. Jackson

F. AdamsQuestion 44:

Ocean is to Fountain as Desert is to

A. sandbox

B. beachC. glass

D. quarryE. sandstone

F. river

Question 45:

Algebra is to Mathematics as Existentialism is toA. law

B. political science

C. physicsD. philosophy

E. physiology

F. biologyQuestion 46:

Teeth is to Chicken as Sentience is to

A. dogB. grub

C. chicken

D. cabbage

E. humanF. whale

Question 47:

101 is to Dalmatians as 1,001 is toA. Forgotten Empires

B. Arabian Nights

C. Shades of BlueD. True Heroes

E. Flying Fish

F. Rascally Raptors

Question 48:



Gaze is to Gorgon as Song is to

A. centaur

B. sirenC. basilisk

D. hydra

E. chimeraF. dobbin

Question 49:

Bull's eye is to Perfect shot as Snake eyes is toA. worst possible roll

B. two perfect shots

C. two worst possible shots

D. two best possible rollsE. worst possible shot

F. best possible roll

Question 50:

Naiads is to Springs & streams as Oreads is toA. oceans & rivers

B. hills & valleysC. storms & tempests

D. plains & fields

E. earthquakes & pestilence

F. grottoes & mountains--------------------------------------------------------------------------------

CAT syllogism Questions

hi guys....time to brush up your verbal skills. All following questions were asked in CAT1999.

Directions: Each question consists of five statements followed by options consisting of three statements put together in a specific order.Choose the option which indicates a valid

argument, i.e. where the third statement is a conclusion drawn from the preceding two

statements.

Qno.1.

A.All software companies employ knowledge workers.B.Tara Tech employs knowledge workers.

C.Tara Tech is a software company.

D.Some software companies employ knowledge workers.E.Tara Tech employs only knowledge workers.

1.ABC 2.ACB 3.CDB 4.ACE



Qno.2.

A.Traffic congestion increases carbon monoxide in the environment.

B.Increase in carbon monoxide is hazardous to health.

C.Traffic congestion is hazardous to health.D.Some traffic congestion does not cause increased carbon monoxide.

E.Some traffic congestion is not hazardous to health.

1.CBA 2.BDE 3.CDE 4.BAC

Answer to first question is option no.2--ACB

Logically, the sentences should follow like this:All software companies employ knowledge workers.

Tara Tech is a software company.

Tara Tech employs knowledge workers.

Sentence D & E are irrelevant ovr here.Answer to second question is option no.4--BAC

Logically, the sentences should follow like this:Increase in carbon monoxide is hazardous to health.

Traffic congestion increases carbon monoxide in the environment.

Traffic congestion is hazardous to health.

Both sentence D & E are incorrect and make do not add to the paragraDirections: Each question consists of five statements followed by options consisting of

three statements put together in a specific order.Choose the option which indicates a valid

argument, i.e. where the third statement is a conclusion drawn from the preceding twostatements.

Qno.1.

A.All software companies employ knowledge workers.

B.Tara Tech employs knowledge workers.C.Tara Tech is a software company.

D.Some software companies employ knowledge workers.

E.Tara Tech employs only knowledge workers.


Qno.2.

A.Traffic congestion increases carbon monoxide in the environment.B.Increase in carbon monoxide is hazardous to health.

C.Traffic congestion is hazardous to health.

D.Some traffic congestion does not cause increased carbon monoxide.

E.Some traffic congestion is not hazardous to health.





Logically, the sentences should follow like this:

All software companies employ knowledge workers.

Tara Tech is a software company.Tara Tech employs knowledge workers.

Sentence D & E are irrelevant over here.

Answer to second question is option no.4--BAC


Increase in carbon monoxide is hazardous to health.Traffic congestion increases carbon monoxide in the environment.

Traffic congestion is hazardous to health.Both sentence D & E are incorrect and make do not add to the paragra

Directions: Each question consists of five statements followed by options consisting of

three statements put together in a specific order.Choose the option which indicates a validargument, i.e. where the third statement is a conclusion drawn from the preceding two

statements.

Qno.1.

A.All software companies employ knowledge workers.B.Tara Tech employs knowledge workers.

C.Tara Tech is a software company.

D.Some software companies employ knowledge workers.E.Tara Tech employs only knowledge workers.


Qno.2.

A.Traffic congestion increases carbon monoxide in the environment.B.Increase in carbon monoxide is hazardous to health.

C.Traffic congestion is hazardous to health.

D.Some traffic congestion does not cause increased carbon monoxide.E.Some traffic congestion is not hazardous to health.






All software companies employ knowledge workers.

Tara Tech is a software company.Tara Tech employs knowledge workers.

Sentence D & E are irrelevant ovr here.

Answer to second question is option no.4--BAC

Logically, the sentences should follow like this:Increase in carbon monoxide is hazardous to health.

Traffic congestion increases carbon monoxide in the environment.

Traffic congestion is hazardous to health.

Both sentence D & E are incorrect and make do not add to the paragra

Foot : Leg :: Hand : (a. glove, b. arm, c. fingers, d. thumb)

Kitten : Cat :: (a. puppy, b. animal c. baby, d. adult) : DogStove : (a. burner, b. flame, c. food, d. cook) :: Blender : Mix

Waiter : Restaurant :: Clerk : (a. store, b. table, c. delivery, d. kitchen)

(a. scarf, b. hair, c. hat, d. ear) : Head :: Sock : FootSailor : (a. navy, b. army, c. marines, d. soldier) :: Pilot : Airforce

Hoof : Horse :: (a. foot, b. claw, c. toe, d. paw) : Dog

Car : (a. path, b. sidewalk, c. cement, d. road) :: Train : Track Blend : Combine :: Build : (a. tall, d, straight, c. erect, d. house)

Basketball : Hoop :: Hockey : (a. net, b. stick, c. puck, d. player

Practice Question AnswersSet 1 Of 4

b. Arm

a. Puppy

d. Cook a. Store

c. Hat

a. Navy

d. Paw



d. Road

c. Erect

a. NetSet 2 Of 4

Click below for answers

Lion : Giraffe :: (a. tree, b. plant, c. elm, d. desk) : Oak (a. pen, b. letter, c. correct, d. paper) : write :: ruler : measure

Roosevelt : Truman :: Kennedy : (a. Humphrey, b. Johnson, c. Jefferson, d. Ford)

(a. rooster, b. cluck, c. hen, d. egg) : Chicken :: Milk : Cow

Occurrence : Event :: Site : (a. location, b. rifle, c. spy, d. tent)Flurry : (a. sleet, b. fuzzy, c. hurry, d. blizzard) :: Shower : Deluge

Pints : Gallon :: 1: (a. 2, b. 4, c. 6, d. 8)

Rodin : The Thinker :: Michelangelo : (a. David, b. the Sistine Chapel, c. the Mona Lisa d.

Venus di Milo)Paint : (a. picture, b. brush, c. wall, d. mix) :: Varnish : Floor

(a. noisy, b. vulgar, c. lively, d. intense) : Lewd :: Irate : FuriousPractice Question Answers

Set 2 Of 4

c. Elm

a. Pen

b. Johnsond. Egg

a. Location

d. Blizzardd. 8

a. David

c. Wall b. Vulgar

Hobbes : Locke :: Byron : (a. Shelley, b. Picasso, c. Mantle, d. Bach)

Siamese : Beagle :: Cat : (a. pet, b. calico, c. dog, d. horse)

Leaves : Rake :: (a. toboggan, b. sleigh, c. Hoe, d. Snow) : ShovelPainting : (a: brush, b: wall, c. picture, d. art) :: Rug : Floor

(a. ball, b. flake, c. ice, d. crust) : Snow :: Drop : Rain

Good : (a. better, b. great, c. best, d. fine) :: Bad : WorstProfessor : University :: (a. philosopher, b. parson, c. physician, d. president) : Hospital

Dentist : Teeth :: Plumber : (a. wiring, b. pipes, c. tiles, d. cement)

1 : 2 :: Half : (a. quarter, b. hole, c. section, d. whole)Hallow : (a. sanctify, b. corona, c. phantasm, d. pause) :: Modify : Alter

Practice Question Answers

Set 3 Of 4



a. Shelley

c. Dogd. Snow

b. Wall

b. Flakec. Best

c. Physician

b. Pipesd. Whole

a. Sanctify

Click below for answers

(a. Borglum, b. Jefferson, c. Wright, d. Washington) : Mount Rushmore :: Ziolkowsky :

Crazy Horse

Black Hills : Comstock :: Gold : (a. silver, b. uranium, c. coal, d. iron)Pike : Peak :: Chisolm : (a. path, b. trail, c. mountain, d. city)

Trunk : Tree :: (a. petal, b. root, c. stem, d. petal) : Flower (a. San Diego, b. Oakland, c. Sacramento, d. San Francisco) : California :: Augusta : Maine

Pumpkin : Orange :: Grass : (a. lemon, b. lawn, c. green, d. flower)

(a. razor, b. washcloth, c. soap, d. water) : Whiskers :: Broom : Dust

Cheap : Expensive :: Stationary : (a. humble, b. moderate, c. mobile d. lively)Walk : Run :: Flow : (a. water, b. ebb, c. stream, d. river)

Flying : Airplane :: (a. water, b. ocean, c. sailing, d. cruise) : Ship

syllogism 1

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