Entries Tagged 'GRE' ↓

8 Week Study Plan For IELTS

Week 1
Go through the IELTS tests provided by the British Council and ascertain the format of the exam.

Week 2
Most students who have studied at an English medium school or college will not have problems with the IELTS. But if you want to prepare, go through the Macmillan IELTS Testbuilder.

Week 3
For the listening section, prepare with CDs from the Macmillan Testbuilder.

Week 4
Practise the reading and comprehension section this week

Week 5
For the essay and an analysis of a chart/ graph preparation, look at sample essay topics from the Macmillan Testbuilder.

Week 6
Dedicate this entire week to writing essays.

Week 7
The IELTS has a special speaking module for 11 to 14 minutes consisting of a personal interview and a two-way discussion on a general topic. Check out the samples in the Macmillan Testbuilder.

Week 8
Now you can practise full-length tests this week and you are ready to take the exam.

Now Fund Your Studies Through Education Loan

education loan
Studying abroad is expensive and you might need loan to pursue your studies. In order to make sure that no student is denied of pursuing higher education, various banks in India have come up with educational loan schemes. The demand for the loans is on a rise as the cost of education is escalating over the years.

You are eligible for a loan if you have secured admission in any of the bank’s list of approved courses or universities.

Expenses considered for loan:
* Fees payable to school/hostel
* Examination/Library/Laboratory fees
* Purchase of Books/Equipment/Instruments/Uniforms
* Caution Deposit/Building Fund/Refundable Deposit
* Travel Expenses/Passage money for studies abroad
* Any other expenses required to complete the course like study tours, project work etc.

SBI, Bank of Maharashtra, IDBI, Allahabad Bank, OBC, UBI, Bank of Baroda are some of the banks that provide educational loan in India.

The documents needed to be furnished to avail the loan:
1) Completely filled Application Form with Photographs.
2) Letter of admission from the Institute.
3) Letter from the Institute stating expenses of the program (term-wise, year-wise)
4) Documents for the Applicant & Co-applicant (Residence Proof, ID Proof, Signature Verification Proof, Age proof)
5) Mark sheets from SSC onwards till the latest examination passed.
6) Income Documents of the Co-applicant (Pay Slips / ITR copy etc)
7) Declaration/Affidavit confirming that no loan has been availed from other Bank/Institution

If you are planning to study abroad then following documents will also be required:
8) Visa approval papers
9) Travel documents
10) GRE/GMAT/SAT score
11) I-20 in case of applicant going to the USA

GMAT V/S GRE

GMAT or GRE

Choosing between taking the GMAT or the GRE can be a difficult task. Here are some differences that should make your decision easier:

GMAT measures verbal, mathematical and analytical skills and predicts how suitable a candidate is for a management-related programme. It does gauge one’s knowledge of business, job skills, or even personal qualities such as motivation, creativity, and interpersonal skills. On the other hand, GRE measures suitability for subjects such as Biochemistry, Cell and Molecular Biology, Biology, Chemistry, Computer Science, Literature in English, Mathematics, Physics and Psychology.

• GMAT and GRE have been designed for native English speakers. Without fluency in English and excellent writing skills, it is impossible to get a good score in the GRE. However, students who cannot articulate well in the language can still perform well in GMAT. Students who are unsure of their language skills would be advised to take GMAT rather than GRE.

• GRE measures all the student’s verbal and quantitative skills in abstract thinking developed till the undergraduate stage. GRE requires widespread knowledge of vocabulary, writing skills and general.

• The GMAT deals with analysis while the GRE is about presenting arguments, preferably those that are abstract and draw reference from diverse sources and disciplines.

• The GRE is suitable for the more academically-minded student.

Beyond Scores
Non-native English speakers have skills and talents other than high GMAT scores. Even if such an application stands out, the graduate school will be interested despite a low GMAT score. Female candidates have a higher chance of being short-listed.

To appeal to candidates from wider backgrounds, graduate schools are looking at roping in students from backgrounds other than management or business. They are looking to admit Publishers, filmmakers, lawyers, theatre agents or graduates in law, medicine or literature.

How can you help yourself?
1. Ask the schools you are applying to which tests they accept. Decide which test (GMAT or GRE) you wish to take on the basis of your ability and also, which school you want to get into. If you have taken the GRE and got a good score you can always ask the schools if they will consider it.
2. Schools look at the overall package of test scores, essays, your background and your motivation. Think thoroughly about which business school would be in your best interest to apply to.
3. Websites on the subject and meetings with admissions directors will help you make an informed decision.

Hence, your final decision must be based on extensive research and a candid personal evaluation of your skills and abilities.

Know Everything About Working In UK While You Study

work-and-study

There are opportunities galore of working and studying in the UK, during your studies and even after your studies. These include vacation work, part time work and even course related job placements. You can learn about various part time jobs made available by consulting notice board close to your institution. You can also look up local newspapers and inquire at job centers. You can also visit your university or college’s career office. Many institutions are equipped with their own ‘job shops’ that issue job vacancy bulletins, holiday vacancies and part time jobs. Other services offered by these institutions help you with training, further studies and employment advice. Some institutions even help you with the job hunting process.

Before you take up a job, make sure you have enough time to devote to it. Your course should be your first priority. Ensure you divide your time strategically and wisely. Don’t allow your work get in the way of your studies.

You are free to work in the UK if you are a European Economic Area National or a Swiss National. However, you need to follow some procedures if you are student applying from outside the European Economic Area.

The work policy for international students is different. It is important to check your visa sticker or passport stamp to ascertain if you are allowed to work. You can check the website of The Department of Children, Schools and Families (DCSF) for additional information.

If your visa or passport allows you to work, you can work so long as the following conditions are met:

1) You don’t run your own business and you are not self emplyed. You don’t provide services as an entertainer or a professional sports person.

2) While doing your vacation work or part time job, the money that you make cannot be used for visa application or your entry clearance. This is to prove that you can meet the cost of living and studying in the UK without depending on employment. You need to provide an evidence of your guaranteed earnings if you wish to include it in your entry/visa clearance application.

3) During your term time, your total working time cannot exceed a maximum of 20 hours per week.

If you are a graduate from a reputed UK higher education institute, with a degree to your credit, you can send a ’stay on’ application and work for a year under the International Graduates Scheme (IGS).You are entitled to work only if you apply within one year of finishing your graduation. Furthermore, all students graduating from a degree, postgraduate course or an HND can apply to stay in Scotland for two more years after graduation, under the Fresh Talent Scotland Initiative.

A to Z of Phobia Words!!

A-
Ablutophobia- Fear of washing or bathing.
Acarophobia- Fear of itching or of the insects that cause itching.
Acerophobia- Fear of sourness.
Achluophobia- Fear of darkness.
Acousticophobia- Fear of noise.
Acrophobia- Fear of heights.
Aerophobia- Fear of drafts, air swallowing, or airbourne noxious substances.
Aeroacrophobia- Fear of open high places.
Aeronausiphobia- Fear of vomiting secondary to airsickness.
Agateophobia- Fear of insanity.
Agliophobia- Fear of pain.
Agoraphobia- Fear of open spaces or of being in crowded, public places like markets. Fear of leaving a safe place.
Agraphobia- Fear of sexual abuse.
Agrizoophobia- Fear of wild animals.
Agyrophobia- Fear of streets or crossing the street.
Aichmophobia- Fear of needles or pointed objects.
Ailurophobia- Fear of cats.
Albuminurophobia- Fear of kidney disease.
Alektorophobia- Fear of chickens.
Algophobia- Fear of pain.
Alliumphobia- Fear of garlic.
Allodoxaphobia- Fear of opinions.
Altophobia- Fear of heights.
Amathophobia- Fear of dust.
Amaxophobia- Fear of riding in a car.
Ambulophobia- Fear of walking.
Amnesiphobia- Fear of amnesia.
Amychophobia- Fear of scratches or being scratched.
Anablephobia- Fear of looking up.
Ancraophobia- Fear of wind. (Anemophobia)
Androphobia- Fear of men.
Anemophobia- Fear of air drafts or wind.(Ancraophobia)
Anginophobia- Fear of angina, choking or narrowness.
Anglophobia- Fear of England or English culture, etc.
Angrophobia - Fear of anger or of becoming angry.
Ankylophobia- Fear of immobility of a joint.
Anthrophobia or Anthophobia- Fear of flowers.
Anthropophobia- Fear of people or society.
Antlophobia- Fear of floods.
Anuptaphobia- Fear of staying single.
Apeirophobia- Fear of infinity.
Aphenphosmphobia- Fear of being touched. (Haphephobia)
Apiphobia- Fear of bees.
Apotemnophobia- Fear of persons with amputations.
Arachibutyrophobia- Fear of peanut butter sticking to the roof of the mouth.
Arachnephobia or Arachnophobia- Fear of spiders.
Arithmophobia- Fear of numbers.
Arrhenphobia- Fear of men.
Arsonphobia- Fear of fire.
Asthenophobia- Fear of fainting or weakness.
Astraphobia or Astrapophobia- Fear of thunder and lightning.(Ceraunophobia, Keraunophobia)
Astrophobia- Fear of stars or celestial space.
Asymmetriphobia- Fear of asymmetrical things.
Ataxiophobia- Fear of ataxia. (muscular incoordination)
Ataxophobia- Fear of disorder or untidiness.
Atelophobia- Fear of imperfection.
Atephobia- Fear of ruin or ruins.
Athazagoraphobia- Fear of being forgotton or ignored or forgetting.
Atomosophobia- Fear of atomic explosions.
Atychiphobia- Fear of failure.
Aulophobia- Fear of flutes.
Aurophobia- Fear of gold.
Auroraphobia- Fear of Northern lights.
Autodysomophobia- Fear of one that has a vile odor.
Automatonophobia- Fear of ventriloquist’s dummies, animatronic creatures, wax statues - anything that falsly represents a sentient being.
Automysophobia- Fear of being dirty.
Autophobia- Fear of being alone or of oneself.
Aviophobia or Aviatophobia- Fear of flying.

B-
Bacillophobia- Fear of microbes.
Bacteriophobia- Fear of bacteria.
Ballistophobia- Fear of missiles or bullets.
Bolshephobia- Fear of Bolsheviks.
Barophobia- Fear of gravity.
Basophobia or Basiphobia- Inability to stand. Fear of walking or falling.
Bathmophobia- Fear of stairs or steep slopes.
Bathophobia- Fear of depth.
Batophobia- Fear of heights or being close to high buildings.
Batrachophobia- Fear of amphibians, such as frogs, newts, salamanders, etc.
Belonephobia- Fear of pins and needles. (Aichmophobia)
Bibliophobia- Fear of books.
Blennophobia- Fear of slime.
Bogyphobia- Fear of bogeys or the bogeyman.
Botanophobia- Fear of plants.
Bromidrosiphobia or Bromidrophobia- Fear of body smells.
Brontophobia- Fear of thunder and lightning.
Bufonophobia- Fear of toads.

C-
Cacophobia- Fear of ugliness.
Cainophobia or Cainotophobia- Fear of newness, novelty.
Caligynephobia- Fear of beautiful women.
Cancerophobia or Carcinophobia- Fear of cancer.
Cardiophobia- Fear of the heart.
Carnophobia- Fear of meat.
Catagelophobia- Fear of being ridiculed.
Catapedaphobia- Fear of jumping from high and low places.
Cathisophobia- Fear of sitting.
Catoptrophobia- Fear of mirrors.
Cenophobia or Centophobia- Fear of new things or ideas.
Ceraunophobia or Keraunophobia- Fear of thunder and lightning.(Astraphobia, Astrapophobia)
Chaetophobia- Fear of hair.
Cheimaphobia or Cheimatophobia- Fear of cold.(Frigophobia, Psychophobia)
Chemophobia- Fear of chemicals or working with chemicals.
Cherophobia- Fear of gaiety.
Chionophobia- Fear of snow.
Chiraptophobia- Fear of being touched.
Chirophobia- Fear of hands.
Cholerophobia- Fear of anger or the fear of cholera.
Chorophobia- Fear of dancing.
Chrometophobia or Chrematophobia- Fear of money.
Chromophobia or Chromatophobia- Fear of colors.
Chronophobia- Fear of time.
Chronomentrophobia- Fear of clocks.
Cibophobia- Fear of food.(Sitophobia, Sitiophobia)
Claustrophobia- Fear of confined spaces.
Cleithrophobia or Cleisiophobia- Fear of being locked in an enclosed place.
Cleptophobia- Fear of stealing.
Climacophobia- Fear of stairs, climbing, or of falling downstairs.
Clinophobia- Fear of going to bed.
Clithrophobia or Cleithrophobia- Fear of being enclosed.
Cnidophobia- Fear of stings.
Cometophobia- Fear of comets.
Coimetrophobia- Fear of cemeteries.
Coitophobia- Fear of coitus.
Contreltophobia- Fear of sexual abuse.
Coprastasophobia- Fear of constipation.
Coprophobia- Fear of feces.
Consecotaleophobia- Fear of chopsticks.
Coulrophobia- Fear of clowns.
Counterphobia- The preference by a phobic for fearful situations.
Cremnophobia- Fear of precipices.
Cryophobia- Fear of extreme cold, ice or frost.
Crystallophobia- Fear of crystals or glass.
Cyberphobia- Fear of computers or working on a computer.
Cyclophobia- Fear of bicycles.
Cymophobia or Kymophobia- Fear of waves or wave like motions.
Cynophobia- Fear of dogs or rabies.
Cypridophobia or Cypriphobia or Cyprianophobia or Cyprinophobia - Fear of prostitutes or venereal disease.

D-
Decidophobia- Fear of making decisions.
Defecaloesiophobia- Fear of painful bowels movements.
Deipnophobia- Fear of dining or dinner conversations.
Dementophobia- Fear of insanity.
Demonophobia or Daemonophobia- Fear of demons.
Demophobia- Fear of crowds. (Agoraphobia)
Dendrophobia- Fear of trees.
Dentophobia- Fear of dentists.
Dermatophobia- Fear of skin lesions.
Dermatosiophobia or Dermatophobia or Dermatopathophobia- Fear of skin disease.
Dextrophobia- Fear of objects at the right side of the body.
Diabetophobia- Fear of diabetes.
Didaskaleinophobia- Fear of going to school.
Dikephobia- Fear of justice.
Dinophobia- Fear of dizziness or whirlpools.
Diplophobia- Fear of double vision.
Dipsophobia- Fear of drinking.
Dishabiliophobia- Fear of undressing in front of someone.
Domatophobia- Fear of houses or being in a house.(Eicophobia, Oikophobia)
Doraphobia- Fear of fur or skins of animals.
Doxophobia- Fear of expressing opinions or of receiving praise.
Dromophobia- Fear of crossing streets.
Dutchphobia- Fear of the Dutch.
Dysmorphophobia- Fear of deformity.
Dystychiphobia- Fear of accidents.

E-
Ecclesiophobia- Fear of church.
Ecophobia- Fear of home.
Eicophobia- Fear of home surroundings.(Domatophobia, Oikophobia)
Eisoptrophobia- Fear of mirrors or of seeing oneself in a mirror.
Electrophobia- Fear of electricity.
Eleutherophobia- Fear of freedom.
Elurophobia- Fear of cats. (Ailurophobia)
Emetophobia- Fear of vomiting.
Enetophobia- Fear of pins.
Enochlophobia- Fear of crowds.
Enosiophobia or Enissophobia- Fear of having committed an unpardonable sin or of criticism.
Entomophobia- Fear of insects.
Eosophobia- Fear of dawn or daylight.
Ephebiphobia- Fear of teenagers.
Epistaxiophobia- Fear of nosebleeds.
Epistemophobia- Fear of knowledge.
Equinophobia- Fear of horses.
Eremophobia- Fear of being oneself or of lonliness.
Ereuthrophobia- Fear of blushing.
Ergasiophobia- 1) Fear of work or functioning. 2) Surgeon’s fear of operating.
Ergophobia- Fear of work.
Erotophobia- Fear of sexual love or sexual questions.
Euphobia- Fear of hearing good news.
Eurotophobia- Fear of female genitalia.
Erythrophobia or Erytophobia or Ereuthophobia- 1) Fear of redlights. 2) Blushing. 3) Red.

F-
Febriphobia or Fibriphobia or Fibriophobia- Fear of fever.
Felinophobia- Fear of cats. (Ailurophobia, Elurophobia, Galeophobia, Gatophobia)
Francophobia- Fear of France or French culture. (Gallophobia, Galiophobia)
Frigophobia- Fear of cold or cold things.(Cheimaphobia, Cheimatophobia, Psychrophobia)

G-
Galeophobia or Gatophobia- Fear of cats.
Gallophobia or Galiophobia- Fear France or French culture. (Francophobia)
Gamophobia- Fear of marriage.
Geliophobia- Fear of laughter.
Geniophobia- Fear of chins.
Genophobia- Fear of sex.
Genuphobia- Fear of knees.
Gephyrophobia or Gephydrophobia or Gephysrophobia- Fear of crossing bridges.
Germanophobia- Fear of Germany or German culture.
Gerascophobia- Fear of growing old.
Gerontophobia- Fear of old people or of growing old.
Geumaphobia or Geumophobia- Fear of taste.
Glossophobia- Fear of speaking in public or of trying to speak.
Gnosiophobia- Fear of knowledge.
Graphophobia- Fear of writing or handwriting.
Gymnophobia- Fear of nudity.
Gynephobia or Gynophobia- Fear of women.

H-
Hadephobia- Fear of hell.
Hagiophobia- Fear of saints or holy things.
Hamartophobia- Fear of sinning.
Haphephobia or Haptephobia- Fear of being touched.
Harpaxophobia- Fear of being robbed.
Hedonophobia- Fear of feeling pleasure.
Heliophobia- Fear of the sun.
Hellenologophobia- Fear of Greek terms or complex scientific terminology.
Helminthophobia- Fear of being infested with worms.
Hemophobia or Hemaphobia or Hematophobia- Fear of blood.
Heresyphobia or Hereiophobia- Fear of challenges to official doctrine or of radical deviation.
Herpetophobia- Fear of reptiles or creepy, crawly things.
Heterophobia- Fear of the opposite sex. (Sexophobia)
Hexakosioihexekontahexaphobia- Fear of the number 666.
Hierophobia- Fear of priests or sacred things.
Hippophobia- Fear of horses.
Hippopotomonstrosesquippedaliophobia- Fear of long words.
Hobophobia- Fear of bums or beggars.
Hodophobia- Fear of road travel.
Hormephobia- Fear of shock.
Homichlophobia- Fear of fog.
Homilophobia- Fear of sermons.
Hominophobia- Fear of men.
Homophobia- Fear of sameness, monotony or of homosexuality or of becoming homosexual.
Hoplophobia- Fear of firearms.
Hydrargyophobia- Fear of mercurial medicines.
Hydrophobia- Fear of water or of rabies.
Hydrophobophobia- Fear of rabies.
Hyelophobia or Hyalophobia- Fear of glass.
Hygrophobia- Fear of liquids, dampness, or moisture.
Hylephobia- Fear of materialism or the fear of epilepsy.
Hylophobia- Fear of forests.
Hypengyophobia or Hypegiaphobia- Fear of responsibility.
Hypnophobia- Fear of sleep or of being hypnotized.
Hypsiphobia- Fear of height.

I-
Iatrophobia- Fear of going to the doctor or of doctors.
Ichthyophobia- Fear of fish.
Ideophobia- Fear of ideas.
Illyngophobia- Fear of vertigo or feeling dizzy when looking down.
Iophobia- Fear of poison.
Insectophobia - Fear of insects.
Isolophobia- Fear of solitude, being alone.
Isopterophobia- Fear of termites, insects that eat wood.
Ithyphallophobia- Fear of seeing, thinking about or having an erect penis.

J-
Japanophobia- Fear of Japanese.
Judeophobia- Fear of Jews.

K-
Kainolophobia or Kainophobia- Fear of anything new, novelty.
Kakorrhaphiophobia- Fear of failure or defeat.
Katagelophobia- Fear of ridicule.
Kathisophobia- Fear of sitting down.
Kenophobia- Fear of voids or empty spaces.
Keraunophobia or Ceraunophobia- Fear of thunder and lightning.(Astraphobia, Astrapophobia)
Kinetophobia or Kinesophobia- Fear of movement or motion.
Kleptophobia- Fear of stealing.
Koinoniphobia- Fear of rooms.
Kolpophobia- Fear of genitals, particularly female.
Kopophobia- Fear of fatigue.
Koniophobia- Fear of dust. (Amathophobia)
Kosmikophobia- Fear of cosmic phenomenon.
Kymophobia- Fear of waves. (Cymophobia)
Kynophobia- Fear of rabies.
Kyphophobia- Fear of stooping.

L-
Lachanophobia- Fear of vegetables.
Laliophobia or Lalophobia- Fear of speaking.
Leprophobia or Lepraphobia- Fear of leprosy.
Leukophobia- Fear of the color white.
Levophobia- Fear of things to the left side of the body.
Ligyrophobia- Fear of loud noises.
Lilapsophobia- Fear of tornadoes and hurricanes.
Limnophobia- Fear of lakes.
Linonophobia- Fear of string.
Liticaphobia- Fear of lawsuits.
Lockiophobia- Fear of childbirth.
Logizomechanophobia- Fear of computers.
Logophobia- Fear of words.
Luiphobia- Fear of lues, syphillis.
Lutraphobia- Fear of otters.
Lygophobia- Fear of darkness.
Lyssophobia- Fear of rabies or of becoming mad.

M-
Macrophobia- Fear of long waits.
Mageirocophobia- Fear of cooking.
Maieusiophobia- Fear of childbirth.
Malaxophobia- Fear of love play. (Sarmassophobia)
Maniaphobia- Fear of insanity.
Mastigophobia- Fear of punishment.
Mechanophobia- Fear of machines.
Medomalacuphobia- Fear of losing an erection.
Medorthophobia- Fear of an erect penis.
Megalophobia- Fear of large things.
Melissophobia- Fear of bees.
Melanophobia- Fear of the color black.
Melophobia- Fear or hatred of music.
Meningitophobia- Fear of brain disease.
Menophobia- Fear of menstruation.
Merinthophobia- Fear of being bound or tied up.
Metallophobia- Fear of metal.
Metathesiophobia- Fear of changes.
Meteorophobia- Fear of meteors.
Methyphobia- Fear of alcohol.
Metrophobia- Fear or hatred of poetry.
Microbiophobia- Fear of microbes. (Bacillophobia)
Microphobia- Fear of small things.
Misophobia or Mysophobia- Fear of being contaminated with dirt or germs.
Mnemophobia- Fear of memories.
Molysmophobia or Molysomophobia- Fear of dirt or contamination.
Monophobia- Fear of solitude or being alone.
Monopathophobia- Fear of definite disease.
Motorphobia- Fear of automobiles.
Mottephobia- Fear of moths.
Musophobia or Muriphobia- Fear of mice.
Mycophobia- Fear or aversion to mushrooms.
Mycrophobia- Fear of small things.
Myctophobia- Fear of darkness.
Myrmecophobia- Fear of ants.
Mythophobia- Fear of myths or stories or false statements.
Myxophobia- Fear of slime. (Blennophobia)

N-
Nebulaphobia- Fear of fog. (Homichlophobia)
Necrophobia- Fear of death or dead things.
Nelophobia- Fear of glass.
Neopharmaphobia- Fear of new drugs.
Neophobia- Fear of anything new.
Nephophobia- Fear of clouds.
Noctiphobia- Fear of the night.
Nomatophobia- Fear of names.
Nosocomephobia- Fear of hospitals.
Nosophobia or Nosemaphobia- Fear of becoming ill.
Nostophobia- Fear of returning home.
Novercaphobia- Fear of your step-mother.
Nucleomituphobia- Fear of nuclear weapons.
Nudophobia- Fear of nudity.
Numerophobia- Fear of numbers.
Nyctohylophobia- Fear of dark wooded areas or of forests at night
Nyctophobia- Fear of the dark or of night.

O-
Obesophobia- Fear of gaining weight.(Pocrescophobia)
Ochlophobia- Fear of crowds or mobs.
Ochophobia- Fear of vehicles.
Octophobia - Fear of the figure 8.
Odontophobia- Fear of teeth or dental surgery.
Odynophobia or Odynephobia- Fear of pain. (Algophobia)
Oenophobia- Fear of wines.
Oikophobia- Fear of home surroundings, house.(Domatophobia, Eicophobia)
Olfactophobia- Fear of smells.
Ombrophobia- Fear of rain or of being rained on.
Ommetaphobia or Ommatophobia- Fear of eyes.
Oneirophobia- Fear of dreams.
Oneirogmophobia- Fear of wet dreams.
Onomatophobia- Fear of hearing a certain word or of names.
Ophidiophobia- Fear of snakes. (Snakephobia)
Ophthalmophobia- Fear of being stared at.
Opiophobia- Fear medical doctors experience of prescribing needed pain medications for patients.
Optophobia- Fear of opening one’s eyes.
Ornithophobia- Fear of birds.
Orthophobia- Fear of property.
Osmophobia or Osphresiophobia- Fear of smells or odors.
Ostraconophobia- Fear of shellfish.
Ouranophobia or Uranophobia- Fear of heaven.

P-
Pagophobia- Fear of ice or frost.
Panthophobia- Fear of suffering and disease.
Panophobia or Pantophobia- Fear of everything.
Papaphobia- Fear of the Pope.
Papyrophobia- Fear of paper.
Paralipophobia- Fear of neglecting duty or responsibility.
Paraphobia- Fear of sexual perversion.
Parasitophobia- Fear of parasites.
Paraskavedekatriaphobia- Fear of Friday the 13th.
Parthenophobia- Fear of virgins or young girls.
Pathophobia- Fear of disease.
Patroiophobia- Fear of heredity.
Parturiphobia- Fear of childbirth.
Peccatophobia- Fear of sinning or imaginary crimes.
Pediculophobia- Fear of lice.
Pediophobia- Fear of dolls.
Pedophobia- Fear of children.
Peladophobia- Fear of bald people.
Pellagrophobia- Fear of pellagra.
Peniaphobia- Fear of poverty.
Pentheraphobia- Fear of mother-in-law. (Novercaphobia)
Phagophobia- Fear of swallowing or of eating or of being eaten.
Phalacrophobia- Fear of becoming bald.
Phallophobia- Fear of a penis, esp erect.
Pharmacophobia- Fear of taking medicine.
Phasmophobia- Fear of ghosts.
Phengophobia- Fear of daylight or sunshine.
Philemaphobia or Philematophobia- Fear of kissing.
Philophobia- Fear of falling in love or being in love.
Philosophobia- Fear of philosophy.
Phobophobia- Fear of phobias.
Photoaugliaphobia- Fear of glaring lights.
Photophobia- Fear of light.
Phonophobia- Fear of noises or voices or one’s own voice; of telephones.
Phronemophobia- Fear of thinking.
Phthiriophobia- Fear of lice. (Pediculophobia)
Phthisiophobia- Fear of tuberculosis.
Placophobia- Fear of tombstones.
Plutophobia- Fear of wealth.
Pluviophobia- Fear of rain or of being rained on.
Pneumatiphobia- Fear of spirits.
Pnigophobia or Pnigerophobia- Fear of choking of being smothered.
Pocrescophobia- Fear of gaining weight. (Obesophobia)
Pogonophobia- Fear of beards.
Poliosophobia- Fear of contracting poliomyelitis.
Politicophobia- Fear or abnormal dislike of politicians.
Polyphobia- Fear of many things.
Poinephobia- Fear of punishment.
Ponophobia- Fear of overworking or of pain.
Porphyrophobia- Fear of the color purple.
Potamophobia- Fear of rivers or running water.
Potophobia- Fear of alcohol.
Pharmacophobia- Fear of drugs.
Proctophobia- Fear of rectums.
Prosophobia- Fear of progress.
Psellismophobia- Fear of stuttering.
Psychophobia- Fear of mind.
Psychrophobia- Fear of cold.
Pteromerhanophobia- Fear of flying.
Pteronophobia- Fear of being tickled by feathers.
Pupaphobia - Fear of puppets.
Pyrexiophobia- Fear of Fever.
Pyrophobia- Fear of fire.

R-
Radiophobia- Fear of radiation, x-rays.
Ranidaphobia- Fear of frogs.
Rectophobia- Fear of rectum or rectal diseases.
Rhabdophobia- Fear of being severely punished or beaten by a rod, or of being severely criticized. Also fear of magic.(wand)
Rhypophobia- Fear of defecation.
Rhytiphobia- Fear of getting wrinkles.
Rupophobia- Fear of dirt.
Russophobia- Fear of Russians.

S-
Samhainophobia: Fear of Halloween.
Sarmassophobia- Fear of love play. (Malaxophobia)
Satanophobia- Fear of Satan.
Scabiophobia- Fear of scabies.
Scatophobia- Fear of fecal matter.
Scelerophibia- Fear of bad men, burglars.
Sciophobia Sciaphobia- Fear of shadows.
Scoleciphobia- Fear of worms.
Scolionophobia- Fear of school.
Scopophobia or Scoptophobia- Fear of being seen or stared at.
Scotomaphobia- Fear of blindness in visual field.
Scotophobia- Fear of darkness. (Achluophobia)
Scriptophobia- Fear of writing in public.
Selachophobia- Fear of sharks.
Selaphobia- Fear of light flashes.
Selenophobia- Fear of the moon.
Seplophobia- Fear of decaying matter.
Sesquipedalophobia- Fear of long words.
Sexophobia- Fear of the opposite sex. (Heterophobia)
Siderodromophobia- Fear of trains, railroads or train travel.
Siderophobia- Fear of stars.
Sinistrophobia- Fear of things to the left or left-handed.
Sinophobia- Fear of Chinese, Chinese culture.
Sitophobia or Sitiophobia- Fear of food or eating. (Cibophobia)
Snakephobia- Fear of snakes. (Ophidiophobia)
Soceraphobia- Fear of parents-in-law.
Social Phobia- Fear of being evaluated negatively in social situations.
Sociophobia- Fear of society or people in general.
Somniphobia- Fear of sleep.
Sophophobia- Fear of learning.
Soteriophobia - Fear of dependence on others.
Spacephobia- Fear of outer space.
Spectrophobia- Fear of specters or ghosts.
Spermatophobia or Spermophobia- Fear of germs.
Spheksophobia- Fear of wasps.
Stasibasiphobia or Stasiphobia- Fear of standing or walking. (Ambulophobia)
Staurophobia- Fear of crosses or the crucifix.
Stenophobia- Fear of narrow things or places.
Stygiophobia or Stigiophobia- Fear of hell.
Suriphobia- Fear of mice.
Symbolophobia- Fear of symbolism.
Symmetrophobia- Fear of symmetry.
Syngenesophobia- Fear of relatives.
Syphilophobia- Fear of syphilis.

T-
Tachophobia- Fear of speed.
Taeniophobia or Teniophobia- Fear of tapeworms.
Taphephobia Taphophobia- Fear of being buried alive or of cemeteries.
Tapinophobia- Fear of being contagious.
Taurophobia- Fear of bulls.
Technophobia- Fear of technology.
Teleophobia- 1) Fear of definite plans. 2) Religious ceremony.
Telephonophobia- Fear of telephones.
Teratophobia- Fear of bearing a deformed child or fear of monsters or deformed people.
Testophobia- Fear of taking tests.
Tetanophobia- Fear of lockjaw, tetanus.
Teutophobia- Fear of German or German things.
Textophobia- Fear of certain fabrics.
Thaasophobia- Fear of sitting.
Thalassophobia- Fear of the sea.
Thanatophobia or Thantophobia- Fear of death or dying.
Theatrophobia- Fear of theatres.
Theologicophobia- Fear of theology.
Theophobia- Fear of gods or religion.
Thermophobia- Fear of heat.
Tocophobia- Fear of pregnancy or childbirth.
Tomophobia- Fear of surgical operations.
Tonitrophobia- Fear of thunder.
Topophobia- Fear of certain places or situations, such as stage fright.
Toxiphobia or Toxophobia or Toxicophobia- Fear of poison or of being accidently poisoned.
Traumatophobia- Fear of injury.
Tremophobia- Fear of trembling.
Trichinophobia- Fear of trichinosis.
Trichopathophobia or Trichophobia- Fear of hair. (Chaetophobia, Hypertrichophobia)
Triskaidekaphobia- Fear of the number 13.
Tropophobia- Fear of moving or making changes.
Trypanophobia- Fear of injections.
Tuberculophobia- Fear of tuberculosis.
Tyrannophobia- Fear of tyrants.

U-
Uranophobia or Ouranophobia- Fear of heaven.
Urophobia- Fear of urine or urinating.

V-
Vaccinophobia- Fear of vaccination.
Venustraphobia- Fear of beautiful women.
Verbophobia- Fear of words.
Verminophobia- Fear of germs.
Vestiphobia- Fear of clothing.
Virginitiphobia- Fear of rape.
Vitricophobia- Fear of step-father.

W-
Walloonphobia- Fear of the Walloons.
Wiccaphobia: Fear of witches and witchcraft.

X-
Xanthophobia- Fear of the color yellow or the word yellow.
Xenoglossophobia- Fear of foreign languages.
Xenophobia- Fear of strangers or foreigners.
Xerophobia- Fear of dryness.
Xylophobia- 1) Fear of wooden objects. 2) Forests.
Xyrophobia-Fear of razors.

Z-
Zelophobia- Fear of jealousy.
Zeusophobia- Fear of God or gods.
Zemmiphobia- Fear of the great mole rat.
Zoophobia- Fear of animals.

Quant - Number System Ex. 1

Exercise1 + Answers + Explanations

Question:
The sum of the first 100 numbers, 1 to 100 is divisible by

(1) 2, 4 and 8
(2) 2 and 4
(3) 2 only
(4) None of these

Correct Answer - (3)

Explanation:
The sum of the first 100 natural numbers is given by (n(n + 1))/2 = (100(101))/2 = 50(101).
101 is an odd number and 50 is divisible by 2. Hence, 50 (101) will be divisible by 2.

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Question:
What is the minimum number of square marbles required to tile a floor of length 5 metres 78 cm and width 3 metres 74 cm?

(1) 176
(2) 187
(3) 54043
(4) 748

Correct Answer - (2)

Explanation:
The marbles used to tile the floor are square marbles. Therefore, the length of the marble = width of the marble.As we have to use whole number of marbles, the side of the square should a factor of both 5 m 78 cm and 3m 74. And it should be the highest factor of 5 m 78 cm and 3m 74. 5 m 78 cm = 578 cm and 3 m 74 cm = 374 cm.
The HCF of 578 and 374 = 34.

Hence, the side of the square is 34.

The number of such square marbles required = = 187 marbles.

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What is the remainder when 9^1 + 9^2 + 9^3 + …. + 9^8 is divided by 6?

(1) 3
(2) 2
(3) 0
(4) 5

Correct Answer - (3)

Explanation:
6 is an even multiple of 3. When any even multiple of 3 is divided by 6, it will leave a remainder of 0. Or in other words it is perfectly divisible by 6.
On the contrary, when any odd multiple of 3 is divided by 6, it will leave a remainder of 3. For e.g when 9 an odd multiple of 3 is divided by 6, you will get a remainder of 3.

9 is an odd multiple of 3. And all powers of 9 are odd multiples of 3. Therefore, when each of the 8 powers of 9 listed above are divided by 6, each of them will leave a remainder of 3.

The total value of the remainder = 3 + 3 + …. + 3 (8 remainders) = 24. 24 is divisible by 6. Hence, it will leave no remainder.

Hence the final remainder when the expression 9^1 + 9^2 + 9^3 + ….. + 9^8 is divided by 6 will be equal to ‘0′.

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Question:
What is the reminder when 91 + 92 + 93 + …… + 99 is divided by 6?

(1) 0
(2) 3
(3) 4
(4) None of these

Correct Answer - (2)

Explanation:
Any number that is divisible by ‘6′ will be a number that is divisible by both ‘2′ and ‘3′. i.e. the number should an even number and should be divisible by three (sum of its digits should add to a multiple of ‘3′). Any number that is divisible by ‘9′ is also divisible by ‘3′ but unless it is an even number it will not be divisibly by ‘6′. In the above case, ‘9′ is an odd number. Any power of ‘9′ which is an odd number will be an odd number which is divisible by ‘9′.

Therefore, each of the terms 91, 92 etc are all divisibly by ‘9′ and hence by ‘3′ but are odd numbers.

Any multiple of ‘3′ which is odd when divided by ‘6′ will leave a reminder of ‘3′. For example 27 is a multiple of ‘3′ which is odd. 27/6 will leave a reminder of ‘3′. Or take 45 which again is a multiple of ‘3′ which is odd. 45/6 will also leave a reminder of ‘3′.

Each of the individual terms of the given expression 91 + 92 + 93 + …… + 99 when divided by 6 will leave a reminder of ‘3′. There are 9 such terms. The sum of all the reminders will therefore be equal to 9*3 = 27.

27/6 will leave a reminder of ‘3′.

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Question:
Find the value of 1.1! + 2.2! + 3.3! + ……+n.n!

(1) n! +1
(2) (n+1)!
(3) (n+1)!-1
(4) (n+1)!+1
Correct Answer - (3)

Explanation:
1.1! can be written as (2!-1!), likewise 2.2! = (3!-2!) , 3.3! = (4!-3!) and n.n! = (n+1)!-n!.
Thus by summing it up we get the result as given below.
1.1! + 2.2! + 3.3! + ……+n.n! = (2!-1!) + (3!-2!) + (4!-3!) +……+ (n+1)!-n! = (n+1)!-1.

Quant - Number System Ex. 2

Exercise2 + Answers + Explanations

Question:
‘a’ and ‘b’ are the lengths of the base and height of a right angled triangle whose hypotenuse is ‘h’. If the values of ‘a’ and ‘b’ are positive integers, which of the following cannot be a value of the square of the hypotenuse?

(1) 13
(2) 23
(3) 37
(4) 41

Correct Answer - (2)

Explanation:
The value of the square of the hypotenuse = h2 = a2 + b2

As the problem states that ‘a’ and ‘b’ are positive integers, the values of a2 and b2 will have to be perfect squares. Hence we need to find out that value amongst the four answer choices which cannot be expressed as the sum of two perfect squares.

Choice 1 is 13. 13 = 9 + 4 = 32 + 22. Therefore, Choice 1 is not the answer as it is a possible value of h2

Choice 2 is 23. 23 cannot be expressed as the sum two numbers, each of which in turn happen to be perfect squares. Therefore, Choice 2 is the answer.

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Question:
Two numbers when divided by a certain divisor leave remainders of 431 and 379 respectively. When the sum of these two numbers is divided by the same divisor, the remainder is 211. What is the divisor?

(1) 599
(2) 1021
(3) 263
(4) Cannot be determined

Correct Answer - (1)

Explanation:
Two numbers when divided by a common divisor, if they leave remainders of x and y and when their sum is divided by the same divisor leaves a remainder of z, the divisor is given by x + y - z.

In this case, x and y are 431 and 379 and z = 211. Hence the divisor is 431 + 379 - 211 = 599.

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Question:
What is the least number that should be multiplied to 100! to make it perfectly divisible by 350?

(1) 144
(2) 72
(3) 108
(4) 216

Correct Answer - (2)

Explanation:
100! has 348 as the greatest power of 3 that can divide it. Similarly, the greatest power of 2 that can divide 100! is 297. 297 = 448 * 21.
Therefore, the largest power of 12 that can divide 100! is 48.
Therefore, for 350 to be included in 100!, 100! needs to be multiplied by 32 * 23 = 9 * 8 = 72.

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Question:
A certain number when successfully divided by 8 and 11 leaves remainders of 3 and 7 respectively. What will be remainder when the number is divided by the product of 8 and 11, viz 88?

(1) 3
(2) 21
(3) 59
(4) 68

Correct Answer - (3)

Explanation:
When a number is successfully divided by two divisors d1 and d2 and two remainders r1 and r2 are obtained, the remainder that will be obtained by the product of d1 and d2 is given by the relation d1r2 + r1.

Where d1 and d2 are in ascending order respectively and r1 and r2 are their respective remainders when they divide the number.

In this case, the d1 = 8 and d2 = 11. And r1 = 3 and r2 = 7.
Therefore, d1r2 + r1 = 8*7 + 3 = 59.

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Question:
What is the total number of different divisors including 1 and the number that can divide the number 6400?

(1) 24
(2) 27
(3) 27
(4) 68

Correct Answer - (2)

Explanation:
To find the number of divisors for a number, express then number as the product of the prime numbers like ax * by * cz .

In this case, 6400 can be expressed as 64*100 = 26 * 4 * 25 = 28 * 52.

Having done that, the way to find the number of divisors is by multiplying the indices of each of the prime numbers after incrementing the indices by 1.
i.e. the number of divisors = (x+1)(y+1)(z+1).
In this case, (8 + 1)(2 + 1) = 9*3 = 27.

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Quant - Number System Ex. 3

Exercise3 + Answers + Explanations

Question:
When 26854 and 27584 are divided by a certain two digit prime number, the remainder obtained is 47. Which of the following choices is a possible value of the divisor?

(1) 61
(2) 71
(3) 73
(4) 89

Correct Answer - (3)

Explanation:
When both 26854 and 27584 are divided by a divisor, the remainder obtained happens to be the same value 47.

Which means that the difference between 26854 and 27584 is a multiple of the divisor. Else the remainders would have been different.

=> 27584 - 26854 = 730

Now we need to find out a two digit prime number, whose multiple will be 730. 730 can be written as 73 * 10, where 73 is a prime number and greater than 47.
Hence, the two digit prime divisor is 73.

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Question:
How many times will the digit ‘0′ appear between 1 and 10,000?

(1) 4000
(2) 4003
(3) 2893
(4) 3892
Correct Answer - (3)

Explanation:

In two digit numbers, ‘0′ appears 9 times.
In 3-digit numbers, either 1 ‘0′ or 2 ‘0s’ can appear.
When one ‘0′ appears: The first digit of a 3-digit number can be any of the 9 digits other than ‘0′. The second digit can be any of the ‘9′ digits and the third digit be ‘0′.Hence there will 9*9 = 81 such combinations. The ‘0′ can either be the 2nd digit or the third digit, hence there are 2 arrangements possible.Therefore, there are a total of 81 * 2 = 162 three digit numbers with ‘0′ as one of the digits.

When two ‘0s’ appear: The first digit of the number can be any of the 9 digits. The second and third digit are 0s.
Hence there are 9 such numbers and 0 appears 9*2 = 18 times. Hence, ‘0′ appears 18 + 162 = 180 times in three digit numbers. In 4-digit numbers, 0 might be either 1 or 2 or 3 of the digits.

When one ‘0′ appears: The remaining three digits can be any of the 9 digits.i.e. 93 combinations = 729. The ‘0′ can either be the second or third or fourth digit. Hence 3*729 numbers = 2187.

When two 0s appear: The remaining two digits can be any of the 9 digits.Hence 92 = 81 possible combinations. The two 0s can be in two of the three positions = 3*81 = 243 such numbers and 2*243 = 486 number of times 0 will be appear.

When three 0s appear: There are 9 such numbers and 0 appears thrice in each. Hence 9*3 = 27 times.
Hence the number of 0s in 4-digit numbers = 2187 + 486 + 27 = 2700 times.
There is one 5-digit number - 10,000 and 0 appears four times in this number.
Hence the total number of times 0 appears between 1 and 10,000 = 9 + 180 + 2700 + 4 = 2893.

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Question:
What number should be subtracted from x^3 + 4x^2 – 7x + 12 if it is to be perfectly divisible by x + 3?

(1) 42
(2) 39
(3) 13
(4) None of these
Correct Answer - (1)

Explanation:
According to remainder theorem when, then the remainder is f(-a). In this case, as x + 3 divides x3 + 4×2 – 7x + 12 – k perfectly (k being the number to be subtracted), the remainder is 0 when the value of x is substituted by –3.

=> (-3)3 + 4(-3)2 – 7(-3) + 12 – k = 0
=> -27 + 36 + 21 + 12 = k
=> k = 42

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Question:
What is the value of M and N respectively? If M39048458N is divisible by 8 and 11; Where M and N are single digit integers?

(1) 7, 8
(2) 8, 6
(3) 6, 4
(4) 5, 4

Correct Answer - (3)

Explanation:
If the last three digits of a number is divisible by 8, then the number is divisible by 8 (test of divisibility by 8).
Here, last three digits 58N is divisible by 8 if N = 4. (Since 584 is divisible by 8.)

For divisibility by 11. If the digits at odd and even places of a given number are equal or differ by a number divisible by 11, then the given number is divisible by 11.

Therefore, (M+9+4+4+8)-(3+0+8+5+N)=(M+5) should be divisible by 11 => when M = 6.

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Question:
How many zeros contained in 100!?

(1) 100
(2) 24
(3) 97
(4) Cannot be determined

Correct Answer - (2)

Explanation:
If the number N = 2×1.3×2.5×3 ….. pxq. It is clear that each pair of prime factors 2 and 5 will generate one zero in the number N, because 10 = 2X5.

For finding out the number of zeros in the number it is sufficient to find out how many two’s and five’s appear in the expansion of each product N.

No. of five’s = No. of two’s = Hence it is evident that there are only 24 pairs of primes 2 and 5 and therefore 100! ends in 24 zeros.

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Quant - Number System Ex. 4

Exercise4 + Answers + Explanation

Question:
When 242 is divided by a certain divisor the remainder obtained is 8. When 698 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 4. What is the value of the divisor?

(1) 11
(2) 17
(3) 13
(4) 23

Correct Answer - (3)

Explanation:
Let the divisor be d.
When 242 is divided by the divisor, let the quotient be ‘x’ and we know that the remainder is 8. Therefore, 242 = xd + 8

Similarly, let y be the quotient when 698 is divided by d.
Then, 698 = yd + 9.

242 + 698 = 940 = xd + yd + 8 + 9
940 = xd + yd + 17
As xd and yd are divisible by d, the remainder when 940 is divided by d should have been 17.
However, as the question states that the remainder is 4, it would be possible only when leaves a remainder of 4.
If the remainder obtained is 4 when 17 is divided by d, then d has to be 13.

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Question:
What is the total number of different divisors of the number 7200?

(1) 20
(2) 4
(3) 54
(4) 32

Correct Answer - (3)

Explanation:
Express 7200 as a product of prime numbers. We get 7200 = 25 * 32 * 52.
The number of different divisors of 7200 including 1 and 7200 are (5 + 1)(2 + 1)(2 + 1) = 6 * 3 * 3 = 54

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Question:
When a number is divided by 36, it leaves a remainder of 19. What will be the remainder when the number is divided by 12?

(1) 10
(2) 7
(3) 192
(4) None of these

Correct Answer - (2)

Explanation:
Let the number be ‘a’.
When ‘a’ is divided by 36, let the quotient be ‘q’ and we know the remainder is 19
=> and remainder is 19
=> a = 36q + 19

now, a is divided by 12

=> 36q is perfectly divided by 12
Therefore, remainder = 7

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Question:
A person starts multiplying consecutive positive integers from 20. How many numbers should he multiply before the will have result that will end with 3 zeroes?

(1) 11
(2) 10
(3) 6
(4) 5

Correct Answer - (3)

Explanation:
A number will end in 3 zeroes when it is multiplied by 3 10s. To get a 10, one needs a 5 and a 2.
Therefore, this person should multiply till he encounters three 5s and three 2s.
20 has one 5 (5 * 4) and 25 has two 5s (5 * 5).
20 has two 2s (5 * 2 * 2) and 22 has one 2 (11 * 2).

Therefore, he has to multiply till 25 to get three 5s and three 2s, that will make three 10s. So, he has to multiply from 20 to 25 i.e. 6 numbers.

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Question:
How many four digit numbers exist which can be formed by using the digits 2, 3, 5 and 7 once only such that they are divisible by 25?

(1) 4! - 3!
(2) 4
(3) 8
(4) 6

Correct Answer - (2)

Explanation:
The numbers that are divisible by 25 are the numbers whose last two digits are ‘00′, ‘25′, ‘50′ and ‘75′.
However as ‘0′ is not one of the four digits given in the problem, only numbers ending in ‘25′ and ‘75′ need to be considered.

Four digit number whose last two digits are ‘25′ using 3 and 7 as the other two digits are 3725 and 7325.
Similarly, four digit numbers whose last two digits are ‘75′ using 2 and 3 as the other two digits are 2375 and 3275.

Hence there are four 4-digit numbers that exist.

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Quant - Time, Speed & Distance

Questions along with respective explanations.

Q.1. Train A traveling at 60 km/hr leaves Mumbai for Delhi at 6 P.M. Train B traveling at 90 km/hr also leaves Mumbai for Delhi at 9 P.M. Train C leaves Delhi for Mumbai at 9 P.M. If all three trains meet at the same time between Mumbai and Delhi, what is the speed of Train C if the distance between Delhi and Mumbai is 1260 kms?

(1) 60 km/hr (2) 90 km/hr (3) 120 km/hr (4) 135 km/hr

Correct Answer - (3)

Solution:
All three trains meet at the same time between Delhi and Mumbai. Which means Train A and Train B are at the same point at that time. This will happen when Train B is overtaking Train A.

Train A starts 3 hours before Train B. Therefore, by the time Train B leaves Mumbai, Train A has covered 3 * 60 = 180 kms.

The relative speed between Train A and Train B = 90 - 60 = 30 kmph. Therefore, Train B will overtake Train A in = 6 hours from the time Train B leaves Mumbai. That is at 3 A.M, Train B will overtake Train A. The point between Mumbai and Delhi at which Train B overtakes Train A will be 6*90=540 kms from Mumbai.

Train C will also be at that point at 3 A.M while Train B is overtaking Train A. And Train C would have travelled 1260-540 = 720 kms in these 6 hours. Therefore, the speed of Train C = 120 km/hr.

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Q.2 A train travels at an average speed of 90 km/hr without any stoppages. However, its average speed decrease to 60km/hr on account of stoppages. On an average, how many minutes per hour does the train stop?

(1) 12 minutes (2) 18 minutes (3) 24 minutes (4) 20 minutes

Correct Answer - (4)

Solution:
If it travelled at 90 km / hr, it would have crossed 90 kms in an hour. However, it covered only 60 kms due to stoppages.

The distance it covered decreased by 1/3 or it covered only 2/3rd of the distance that it can cover for which the traveling time would have been 2/3rd of an hour. The remaining 1/3rd of an hour was spent in stoppages. Therefore, the train stops on an average for 20 minutes every hour.
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Q.3 A man goes from city A to city B situated 60 kms apart by a boat. His onward journey was with the stream while the return journey was an upstream journey. It took him four and half hours to complete the round trip. If the speed of the stream is 10 km/hr, how long did it take him to complete the onward journey?
(1) 3 hours (2) 3.5 hours (3) 2.25 hours (4) 1.5 hours

Correct Answer - (4)

Solution:
The average speed for the round trip = km/hr
Let the speed during the onward journey be ‘D’ km/hr. Let the speed of the boat in still water be ‘B’ km/hr.
Therefore, D = B + S => D = B + 10 (As the speed of the stream is 10 km/hr).
Let the speed during the return journey be ‘U’ km/hr.
Therefore, U = B - S = B - 10

As the distance between A and B is the same as the distance between B and A, the average speed is given by the formula =
=> => 3B2 - 300 = 80B.
=> 3B2 - 80B - 300 = 0 => 3B2 - 90B + 10B - 300 = 0
=> 3B(B - 30)+10(B - 30) = 0
=> (B-30)(3B+10) = 0
=> B = 30 or B = -10/3

As speed is a positive quantity, B = 30.
Therefore, D = 30 + 10 = 40 km/hr and U = 30 - 10 = 20 km/hr.

His onward journey was done at a speed of 40 km/hr. The distance covered was 60 kms.
Therefore, the time taken for the onward journey = 1.5 hours

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Q. 4 The speed of a motor boat itself is 20 km/h and the rate of flow of the river is 4 km/h. Moving with the stream the boat went 120 km. What distance will the boat cover during the same time going against the stream?
(1) 80 km (2) 180 km (3) 60 km (4) 100 km

Correct Answer - (1)

Solution:
Let the distance to be covered by the boat when it is travelling against the stream be x.
The boat goes down the river at a speed of 20 + 4 = 24 km/h and up the river at a speed of 20 – 4 = 16 km/h.
Since the time taken is same 120/24 = x/16
Therefore, x = 80 km.

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Q. 5 A passenger train covers the distance between stations X and Y, 50 minutes faster than a goods train. Find this distance if the average speed of the passenger train is 60 kmph and that of goods train is 20 kmph.
(1) 20 kms (2) 25 kms (3) 45 kms (4) 40 kms
Correct Answer - (2)

Solution:
Let ‘d’ be the distance between the stations X and Y.
Time taken by the passenger train to cover the distance ‘d’ = d/60 hour
Time taken by the goods train to cover the distance ‘d’ = d/20 hour
Time difference between these two trains is given by 50 minutes or 50/60 hour

i.e., d/20 –d/60 = 50/60

d = 25kms.