21 Jun 2011

fractions!

Fraction is part of a whole. The following illustrate the concept;The figure has 4 parts and only 1 part of the figure is shaded.

fractions-image

fractions-image

Now, suppose you go to Domino's pizza, you may order a medium pizza. If your pizza has 8 slices and you did not eat the whole pizza, this means that you only ate parts of the whole pizza.

Let's say you don't have a big appetite and eat only 2 out of those 8 slices. The following figure illustrate the situation

Pizza-image

we write 2/8 and we call 2 the numerator and we call 8 the denominator.

fractions-image

Notice that a (/) can also be used to separate the numerator with the denominator.

The expression 2/8 can also mean 2 divided by 8. If you use a calculator, the answer will be 0.25 and 0.25 is a decimal. Don't worry about this now. I will teach you decimals in a different unit.

Common sense also tells us that if we eat 2 slices and there are 8 slices, well, we ate only one-fourth of the pizza.

How can we write one-fourth with a numerator and a denominator? May be you know already! If you don't, try the following:

You make 4 piles with your slices with each pile having 2 slices.

fractions-image

Eating 2 slices out 8 is the same as eating 1 pile out of those 4 piles. We can then write 1/4, which is also equal to 0.25 or 2/8

There is something interesting about 1/4 and 2/8.Although they both have different numerators and denominators, they are both equal.

We call 1/4 and 2/8 equivalent fractions.

Other examples are:

1/2 and 5/10

1/3 and 4/12

2/5 and 4/10

Notice that to get from 1/4 to 2/8, all we need to do is to multiply both numerator and denominator by the same number that is 2.

In the same way, to get from 1/2 to 5/10, we can multiply both numerator and denominator by 5.

2/8 and 5/10 are called higher terms. Be careful! It is not because 2/8 is bigger than 1/4 and 5/10 is bigger than 1/2.

Compared to 1/2, 5/10 is a higher term only because it has a bigger numerator and a bigger denominator. However, we saw before that 1/2= 5/10 = 0.5

Notice too that you can go from a higher term to a lower term. For instance, to bring 5/10 to a lower term, all you need to do is to divide both numerator and denominator by 5. You will get 1/2

Going from higher terms to lower terms means that you are simplifying. To get the simplest form, divide the numerator and the denominator by the largest number that divides into both evenly.

For instance, to bring 10/40 to its simplest from, divide both 10 and 40 by 10. You will get 1/4.

Adverbs: Comparative & Superlative

Rule

In general, comparative and superlative forms of adverbs are the same as for adjectives:
  • add -er or -est to short adverbs:
Adverb Comparative Superlative
hard
late
fast
harder
later
faster
the hardest
the latest
the fastest

Example:

  • Jim works harder than his brother.
  • Everyone in the race ran fast, but John ran the fastest of all.

Rule

With adverbs ending in -ly, use more for the comparative and most for the superlative:
Adverb Comparative Superlative
quietly
slowly
seriously
more quietly
more slowly
more seriously
most quietly
most slowly
most seriously

Example:

  • The teacher spoke more slowly to help us to understand.
  • Could you sing more quietly please?

Rule

Some adverbs have irregular comparative forms:

Adverb Comparative Superlative
badly
far
little
well
worse
farther/further
less
better
worst
farthest/furthest
least
best

Example:

  • The little boy ran further than his friends.
  • You're driving worse today than yesterday !
BE CAREFUL! Sometimes 'most' can mean 'very':
  • We were most grateful for your help
  • I am most impressed by this application.

ADVERBS: How adverbs are formed

Rules

1. In most cases, an adverb is formed by adding '-ly' to an adjective:
Adjective Adverb
cheap
quick
slow
cheaply
quickly
slowly

Examples:

  • Time goes quickly.
  • He walked slowly to the door.
  • She certainly had an interesting life.
  • He carefully picked up the sleeping child.

Rules

If the adjective ends in '-y', replace the 'y' with 'i' and add '-ly':
Adjective Adverb
easy
angry
happy
lucky
easily
angrily
happily
luckily
If the adjective ends in -'able', '-ible', or '-le', replace the '-e' with '-y':
Adjective Adverb
probable
terrible
gentle
probably
terribly
gently
If the adjective ends in '-ic', add '-ally':
Adjective Adverb
basic
economic
tragic
basically
economically
tragically
Note: Exception: public - publicly
2. Some adverbs have the same form as the adjective:
Adjective and Adverb
early
fast
hard
high
late
near
straight
wrong
Compare:
  • It is a fast car.
  • He drives very fast.
  • This is a hard exercise.
  • He works hard.
  • We saw many high buildings.
  • The bird flew high in the sky.
3. 'Well' and 'good'
'Well' is the adverb that corresponds to the adjective 'good'.

Examples:

  • He is a good student.
  • He studies well.
  • She is a good pianist.
  • She plays the piano well.
  • They are good swimmers.
  • They swim well.

ADVERBS - FUNCTION

Adverbs modify, or tell us more about other words, usually verbs:

Examples

  • The bus moved slowly.
  • The bears ate greedily.
Sometimes they tell us more about adjectives:

Examples

  • You look absolutely fabulous!
They can also modify other adverbs:

Examples

  • She played the violin extremely well.
  • You're speaking too quietly.

17 Jun 2011

Common Adjectives Table

Appearance Condition  
adorable
alert
average
beautiful
blonde
bloody
blushing
bright
clean
clear
cloudy
colourful
concerned
crowded
curious
cute
dark
dirty
drab
distinct
dull
elegant
fancy
filthy
glamorous
gleaming
graceful
grotesque
homely
light
misty
motionless
muddy
plain
poised
quaint
scary
shiny
smoggy
sparkling
spotless
stormy
strange
ugly
unsightly
unusual
alive
brainy
broken
busy
careful
cautious
clever
crazy
damaged
dead
difficult
easy
fake
false
famous
forward
fragile
guilty
helpful
helpless
important
impossible
infamous
innocent
inquisitive
mad
modern
open
outgoing
outstanding
poor
powerful
puzzled
real
rich
right
robust
sane
scary
shy
sleepy
stupid
super
tame
thick
tired
wild
wrong
 
Feelings - negative Feelings - neutral Feelings - positive
afraid
angry
annoyed
anxious
arrogant
ashamed
awful
bad
bewildered
bored
concerned
condemned
confused
creepy
cruel
dangerous
defeated
defiant
depressed
disgusted
disturbed
doubtful
eerie
embarrassed
envious
evil
fierce
foolish
frantic
frightened
grieving
guilty
helpless
hungry
hurt
ill
jealous
lonely
mad
naughty
nervous
obnoxious
outrageous
panicky
repulsive
safe
scared
shy
sleepy
sore
strange
tense
terrible
tired
troubled
unusual
upset
uptight
weary
wicked
worried

alright
calm
different
fair
fine
OK
pleasant
puzzled
agreeable
alert
amused
brave
bright
charming
cheerful
comfortable
cooperative
courageous
delightful
determined
eager
elated
enchanting
encouraging
energetic
enthusiastic
excited
exuberant
faithful
fantastic
friendly
frowning
funny
gentle
glorious
good
happy
healthy
helpful
hilarious
innocent
jolly
kind
lively
lovely
lucky
obedient
perfect
proud
relaxed
relieved
silly
smiling
splendid
successful
thoughtful
victorious
vivacious
well
witty
wonderful
Shape Size Sound
broad
crooked
curved
deep
even
flat
hilly
jagged
round
shallow
square
steep
straight
thick
thin
triangular
uneven
average
big
fat
gigantic
huge
large
little
long
massive
medium
miniature
narrow
petite
short
skinny
small
tall
tiny
wide
cooing
deafening
faint
harsh
high-pitched
hissing
hushed
husky
loud
melodic
moaning
mute
noisy
purring
quiet
raspy
screeching
shrill
silent
soft
squeaky
squealing
thundering
voiceless
whispering
Speed Taste Time
fast
quick
rapid
slow
swift
bitter
bland
delicious
different
fresh
greasy
hot
juicy
repulsive
revolting
ripe
rotten
salty
sour
spicy
stale
strong
sweet
tasteless
tasty
terrible
wonderful
ancient
brief.
early
late
long
modern
new
old
old-fashioned
quick
short
young
  Touch  
  blunt
boiling
breakable
breezy
broken
bumpy
chilly
clean
cold
cool
crooked
cuddly
curly
damaged
damp
different
dirty
dry
dusty
filthy
flaky
fluffy
fuzzy
greasy
grubby
hard
icy
loose
plastic
prickly
ripe
rough
rubbery
scratchy
shaky
shaggy
sharp
silky
slimy
slippery
smooth
soft
solid
steady
sticky
tight
uneven
unusual
unripe
warm
weak
wet
wooden
wooly
 

Adjectives - Possessive

My

I have a car and I have a dog called Sam.
Ready Steady
This is my car with my dog Sam.

Your

You have a computer.
Computer
You aren't using my computer to read this. You are using your computer.

Her | His

I don't have a crown. Prince Charles doesn't have a crown. The Queen has a crown.
Crown
This is the queen's crown. It isn't my crown and it isn't your crown. It isn't his crown, either. It is her crown.

Its

This padlock has a key.
padlock
This is the padlock's key. It is its key.

Our

We have a website called Learn English.

It is my website and it is your website. It is our website.

Their

The pop group Elbow have a CD.
Elbow CD
This is their CD.

Adjectives - Comparative and Superlative

Red bag This is a box.

Big | Small

Red bag This is a small box. This is a big box. White bag

Bigger / Smaller | Biggest / Smallest

Red bag The blue box is bigger than the green box. Blue bag The blue box is smaller than the red box. White bag
The green box is smaller than the red box and the blue box.
The green box is the smallest box.

The red box is bigger than the blue box and the green box. The red box is the biggest box.

Higher / Lower | Highest / Lowest

Mount Snowdon
Mount Snowdon
1,085 metres
Mount Fuji is higher than Mount Snowdon. Mount Fuji
Mount Fuji
3,776 metres
Mount Fuji is higher than Mount Snowdon, but lower than Mount Everest. Mount Everest
Mount Everest
8,848 metres
Mount Snowdon is the lowest mountain.
Mount Everest is the highest mountain.

Longer / Shorter | Longest / Shortest

River Danube
River Danube
2,850 (km)
The river Amazon is longer than the river Danube. River Amazon
River Amazon
6,516 (km)
The river Amazon is longer than the river Danube, but shorter than the river Nile. River Nile
River Nile
6,695 (km)
The river Danube is the shortest river.
The river Nile is the longest river.

Cheaper / More (Less) Expensive | Cheapest / Most (Least) Expensive

John's car cost £15,000
John's house
John's car was less expensive than Jane's car. It's cheaper than Jane's car. Jane's car cost £25,000
Jane's house
Jane's car is more expensive than John's car, but less expensive than Bill's car. Bill's car cost £55,000
Bill's house
John's car is the least expensive car. It's the cheapest car.
Bill's car is the most expensive car.

Superlative Adjectives

The superlative is used to say what thing or person has the most of a particular quality within a group or of its kind. Superlative adjectives normally come before any other adjectives.
mountain
mountain
Snowdon is not the highest mountain in Britain, Ben Nevis is.
Mount Snowdon is 3,559 feet high. Ben Nevis is 4,408 feet high.

Forming the superlative

Form Rule For example
Words of one syllable ending in 'e'.
Add -st to the end of the word.
wide - widest
Words of one syllable, with one vowel and one consonant at the end. Double the consonant and add -est to the end of the word. big - biggest
Words of one syllable, with more than one vowel or more than one consonant at the end. Add - est to the end of the word. high - highest
Words of two syllables, ending in 'y'. Change 'y' to 'i', and add -est to the end of the word. happy - happiest
Words of two syllables or more, not ending in 'y'. Place 'the most' before the adjective. beautiful - the most beautiful
The following adjectives are exceptions:
  • 'good' becomes 'the best'
  • 'bad' becomes 'the worst'
  • 'far' becomes 'the furthest'
For example:
  • "Jill is the best student in the class ."
  • "Jack is the worst student in the class."
  • "In our solar system the planet Pluto is the furthest planet from the Sun."
!Note - superlatives are usually preceded by 'the'.
For example:
  • "The Rio de la Plata river, on the southeast coastline of South America, is the widest river in the world."
  • According to the List of World records Carol Yager (1960-1994), from Michigan, is the fattest person ever to live, weighing 725 kg (1,600 lb).
  • "Mount Everest is the highest mountain in the world."
  • "I think that Castle Combe is the prettiest village in England."
  • "Arguably, Rome is the most beautiful city in the world."

Possessive Adjectives

Possesive adjectives are used to show ownership or possession.
Subject pronoun Possessive adjective
I my
you your
he his
she her
it its
we our
they their
For example:
  • I own a laptop. = It is my laptop.
  • You own this computer (I presume). = It is your computer.
  • My husband owns a car. = It is his car.
  • My sister owns a house. = It is her house.
  • My dog owns a collar. = It is its collar.
  • We use this website. = It is our website.
  • Manchester United own a football ground. = It is their football ground.

Comparative form of Adjectives

When we compare two things or people we look at what makes them different from each other.
For example:
Tall / Short
tallshort
The man on the left is taller than the man on the right.
The man on the right is shorter than the man on the left.
Fast / Slow
car bicycle
A car is faster than a bicycle.
A bicycle is slower than a car.
Comparative adjectives are used to show what quality one thing has more or less than the other. They normally come before any other adjectives.
For example:
Big / Small
blue bag red bag
The red bag is bigger than the blue bag.
The blue bag is smaller than the red bag.

Forming the comparative

Form Rule For example
Words of one syllable ending in 'e'.
Add -r to the end of the word.
wide - wider
Words of one syllable, with one vowel and one consonant at the end. Double the consonant and add -er to the end of the word. big - bigger
Words of one syllable, with more than one vowel or more than one consonant at the end. Add - er to the end of the word. high - higher
Words of two syllables, ending in 'y'. Change 'y' to 'i', and add -er to the end of the word. happy - happier
Words of two syllables or more, not ending in 'y'. Place 'more' before the adjective. beautiful - more beautiful
The following adjectives are exceptions to this rule:
  • 'good' becomes 'better'
  • 'bad' becomes 'worse'
  • 'far' becomes 'farther' or 'further'
!Note - When comparing two things like this we put than between the adjective and the thing being compared.
For example:-
  • "Mount Everest is higher than Mount Snowdon."
  • "Arguably, Rome is more beautiful than Paris.

Adjective Order

Adjectives can be used to describe lots of things, from physical size, age, shape, colour, material, to more abstract things like opinion, origin and purpose. We can use adjectives together to give a detailed description of something. Adjectives that express opinions usually come before all others, but it can sometimes depend on what exactly you want to emphasise.
For example:

"That nice, big, blue bag." (You like the bag.)
"That big, nice, blue bag." (You like the colour.)
When we group adjectives together there is a general rule for the position of each type adjective, these are:-
Position 1st* 2nd* 3rd 4th 5th 6th 7th 8th

Opinion Size Age Shape Colour Material Origin Purpose

Nice Small Old Square Black Plastic British Racing

Ugly Big New Circular Blue Cotton American Running
This is just a guide as you wouldn't normally see so many adjectives in one description.
For example:
  • "She had a big, ugly, old, baggy, blue, cotton, British, knitting bag." Is grammatically correct but a bit too long-winded.
* You might swap opinion and fact adjectives depending on what you wish to emphasise:-
For example:
  • "She had a long, ugly nose." emphasising the length of her nose.
  • "He was a silly, little man." emphasising that the man was silly.

Definite Article - the (determiners)

There are two ways to pronounce "the". One "thuh" and the other "thee". To learn when we use them see the pronunciation files: How to pronounce "the".


You use the when you know that the listener knows or can work out what particular person/thing you are talking about.
For example: "The apple you ate was rotten."
"Did you lock the car?"
You should also use the when you have already mentioned the thing you are talking about.
For example: "She's got two children; a girl and a boy. The girl's eight and the boy's fourteen."
We use the to talk about geographical points on the globe.
For example: the North Pole, the equator
We use the to talk about rivers, oceans and seas
For example: the Nile, the Pacific, the English channel
We also use the before certain nouns when we know there is only one of a particular thing.
For example: the rain, the sun, the wind, the world, the earth, the White House etc..
However if you want to describe a particular instance of these you should use a/an.
For example: "I could hear the wind." / "There's a cold wind blowing."
"What are your plans for the future?" / "She has a promising future ahead of her."
The is also used to say that a particular person or thing being mentioned is the best, most famous, etc. In this use, 'the' is usually given strong pronunciation:
For example: "Harry's Bar is the place to go."
"You don't mean you met the Tony Blair, do you?"
!Note - The doesn't mean all:-
For example: "The books are expensive." = (Not all books are expensive, just the ones I'm talking about.)
"Books are expensive." = (All books are expensive.)


Top

No article

We usually use no article to talk about things in general:-
Inflation is rising.
People are worried about rising crime. (Note! People generally, so no article)
You do not use an article when talking about sports.
For example: My son plays football.
Tennis is expensive.
You do not use an article before uncountable nouns when talking about them generally.
For example: Information is important to any organisation.
Coffee is bad for you.
You do not use an article before the names of countries except where they indicate multiple areas or contain the words (state(s), kindom, republic, union). Kingdom, state, republic and union are nouns, so they need an article.

For example: No article - Italy, Mexico, Bolivia, England
Use the - the UK (United Kingdom), the USA (United States of America), the Irish Republic
Multiple areas! the Netherlands, the Philippines, the British Isles

Articles

Articles

First the good news:There are only three articles in English: a, an and the.
There are two types of articles indefinite 'a' and 'an' or definite 'the'. You also need to know when not to use an article.
The bad news is that their proper use is complex, especially when you get into the advanced use of English. Quite often you have to work it out by what sounds right, which can be frustrating for a learner.

Indefinite articles - a and an (determiners)

A and an are the indefinite articles. They refer to something not specifically known to the person you are communicating with.
A and an are used before nouns that introduce something or someone you have not mentioned before:-
For example: "I saw an elephant this morning."
"I ate a banana for lunch."
A and an are also used when talking about your profession:-
For example: "I am an English teacher."
"I am a builder."

Note!

You use a when the noun you are referring to begins with a consonant (b, c, d, f, g, h, j, k, l, m, n, p, q, r, s, t, v, w, x, y or z), for example, "a city", "a factory", and "a hotel".
You use an when the noun you are referring to begins with a vowel (a, e, i, o, u)
Pronunciation changes this rule. It's the sound that matters, not the spelling.

If the next word begins with a consonant sound when we say it, for example, "university" then we use a. If the next word begins with a vowel sound when we say it, for example "hour" then we use an.
We say "university" with a "y" sound at the beginning as though it were spelt "youniversity".
So, "a university" IS correct.
We say "hour" with a silent h as though it were spelt "our".
So, "an hour" IS correct.

16 Jun 2011

India Quiz

1) What is the number of states in India?
a) 14
b) 16
c) 25
d) 28
2) Which is the first state to be formed on the basis of language?
a) Andhra Pradesh
b) Bombay
c) Madhya Bharat
d) Meghalaya
3) When was Burma was separated from India?
a) 1948
b) 1901
c) 1937
d) 1945
4) When did India become a republic?
a) 1935
b) 1947
c) 1950
d) 1961
5) Which state was divided into Maharashtra and Gujarat in 1960?
a) Bombay
b) Madras
c) Mysore
d) Hyderabad
6) Who was the Speaker of the Lok Sabha before he became the President of India?
a) R. Venkataraman
b) A. P. J. Abdul Kalam
c) N. Sanjeeva Reddy
d) K. R. Narayanan
7) What was the age of Morarji Desai when he became the Prime Minister?
a) 45
b) 56
c) 81
d) 96
8) How was Tamil Nadu known?
a) Mysore
b) Madras
c) Bombay
d) Hyderabad
9) Which is the capital of Kerala?
a) Calicut
b) Cochin
c) Ooty
d) Thiruvananthapuram
10) Nagaland was separated from which state?
a) Orissa
b) Punjab
c) W. Bengal
d) Assam
11) Which is the smallest state in terms of area?
a) Punjab
b) Sikkim
c) Goa
d) Tripura
12) Where is the tomb of Akbar?
a) Delhi
b) Sikandra.
c) Lahore
d) Fatehpur Sikri
13) Which is the national animal of India?
a) Elephant
b) Deer
c) Cow
d) Tiger
14) Which is the national flower of India?
a) Lotus
b) Rose
c) Marigold
d) Sunflower
15) Who founded Indian National Congress?
a) W. C. Banerjee
b) A. O. Hume
c) Annie Besant
d) Motilal Nehru
16) Which former Indian Prime Minister’s birthday is on December 25?
a) Rajiv Gandhi
b) Atal Bihari Vajpayee
c) Lal Bahadur Shastri
d) P. V. Narasimha Rao
17) Which state was known as North East Frontier Agency?
a) Mizoram
b) Tripura
c) Manipur
d) Arunachal Pradesh
18) Which state or union territory has French as an official language?
a) Goa
b) Lakshadweep
c) Pondicherry
d) Diu and Daman
19) Which is the official language of Jammu and Kashmir?
a) Kashmiri
b) Dogri
c) Pahari
d) Urdu
20) Which state became part of India in 1975?
a) Goa
b) Manipur
c) Tripura
d) Sikkim
21) Which city was the summer capital of India during British Rule?
a) Ooty
b) Simla
c) Pachmarhi
d) Matheran
22) Who was the only Indian Governor General?
a) Jawaharlal Nehru
b) Rajendra Prasad
c) C. Rajagopalachari
d) S. Radhakrishnan
23) Which Prime Minister could not prove his majority in Lok Sabha in May 1996?
a) V. P. Singh
b) P. V. Narasimha Rao
c) Atal Behari Vajpayee
d) Deve Gowda
24) Which of the following religions did not originate in India?
a) Hinduism
b) Jainism
c) Buddhism
d) Judaism
25) When did Rabindranath Tagore die?
a) 1936
b) 1941
c) 1948
d) 1952

India Quiz Questions and Answers

1) What is the number of states in India?
d)28
2) Which is the first state to be formed on the basis of language?
a) Andhra Pradesh
3) When was Burma was separated from India?
c) 1937
4) When did India become a republic?
c) 1950
5) Which state was divided into Maharashtra and Gujarat in 1960?
a) Bombay
6) Who was the Speaker of the Lok Sabha before he became the President of India?
c) N. Sanjeeva Reddy
7) What was the age of Morarji Desai when he became the Prime Minister?
c) 81
8) How was Tamil Nadu known?
b) Madras
9) Which is the capital of Kerala?
d) Thiruvananthapuram
10) Nagaland was separated from which state?
d) Assam
11) Which is the smallest state in terms of area?
c) Goa
12) Where is the tomb of Akbar?
b) Sikandra
13) Which is the national animal of India?
d) Tiger
14) Which is the national flower of India?
a) Lotus
15) Who founded Indian National Congress?
b) A. O. Hume
16) Which former Indian Prime Minister’s birthday is on December 25?
b) Atal Bihari Vajpayee
17) Which state was known as North East Frontier Agency?
d) Arunachal Pradesh
18) Which state or union territory has French as an official language?
c) Pondicherry
19) Which is the official language of Jammu and Kashmir?
d) Urdu
20) Which state became part of India in 1975?
d) Sikkim
21) Which city was the summer capital of India during British Rule?
b) Simla
22) Who was the only Indian Governor General?
c) C. Rajagopalachari
23) Which Prime Minister could not prove his majority in Lok Sabha in May 1996?
c) Atal Behari Vajpayee
24) Which of the following religions did not originate in India?
d) Judaism
25) When did Rabindranath Tagore die?
b) 1941

List of Bharat Ratna Awardees

1. Pandit Bhimsen Joshi (2008)
2. Kumari Lata Dinanath Mangeshkar (2001)
3. Ustad Bismillah Khan (2001)
4. Prof. Amartya Sen (1999)
5. Lokpriya Gopinath Bordoloi (1999)
6. Loknayak Jayprakash Narayan (1999)
7. Pandit Ravi Shankar (1999)
8. Shri Chidambaram Subramaniam (1998)
9. Smt. Madurai Shanmukhavadivu Subbulakshmi (1998)
10. Shri (Dr.) Avul Pakir Jainulabdeen Abdul Kalam (1997)
11. Smt. Aruna Asaf Ali (1997)
12. Shri Gulzari Lal Nanda (1997)
13. Shri Jehangir Ratanji Dadabhai Tata (1992)
14. Shri Maulana Abul Kalam Azad (1992)
15. Shri Satyajit Ray (1992)
16. Shri Morarji Ranchhodji Desai (1991)
17. Shri Rajiv Gandhi (1991)
18. Sardar Vallabhbhai Patel (1991)
19. Dr. Bhimrao Ramji Ambedakr (1990)
20. Dr. Nelson Rolihlahla Mandela (1990)
21. Shri Marudur Gopalan Ramachandran (1988)
22. Khan Abdul Ghaffar Khan (1987)
23. Shri Acharya Vinoba Bhave (1983)
24. Mother Teresa (Agnes Gonxha Bojaxhiu) (1980)
25. Shri Kumaraswamy Kamraj (1976)
26. Shri Varahagiri Venkata Giri (1975)
27. Smt. Indira Gandhi (1971)
28. Shri Lal Bahadur Shastri (1966)
29. Dr. Pandurang Vaman Kane (1963)
30. Dr. Zakir Hussain (1963)
31. Dr. Rajendra Prasad (1962)
32. Dr. Bidhan Chandra Roy (1961)
33. Shri Purushottam Das Tandon (1961)
34. Dr. Dhonde Keshav Karve (1958)
35. Pt. Govind Ballabh Pant (1957)
36. Dr. Bhagwan Das (1955)
37. Shri Jawaharlal Nehru (1955)
38. Dr. Mokshagundam Vivesvaraya (1955)
39. Shri Chakravarti Rajagopalachari (1954)
40. Dr. Chandrasekhara Venkata Raman (1954)
41. Dr. Sarvapalli Radhakrishnan (1954)

List of India’s 28 States, Capitals and Chief Ministers

No. State Capital Chief Minister
1 Andhra Pradesh Hyderabad Kiran Kumar Reddy
2 Arunachal Pradesh Itanagar Jarbom Gamlin
3 Assam Dispur Tarun Gogoi
4 Bihar Patna Nitish Kumar
5 Chhattisgarh Raipur Dr. Raman Singh
6 Goa Panaji Digambar Kamat
7 Gujarat Gandhinagar Narendra Modi
8 Haryana Chandigarh Bhupinder Singh Hooda
9 Himachal Pradesh Shimla Prof. Prem Kumar Dhumal
10 Jammu and Kashmir Srinagar Omar Abdullah
11 Jharkhand Ranchi Arjun Munda
12 Karnataka Bengaluru B. S. Yeddyurappa
13 Kerala Thiruvananthapuram V. S. Achuthanandan
14 Madhya Pradesh Bhopal Shivraj Singh Chouhan
15 Maharashtra Mumbai Prithviraj Chavan
16 Manipur Imphal Okram Ibobi Singh
17 Meghalaya Shillong Dr. Mukul Sangma
18 Mizoram Aizawl Pu Lalthanhawla
19 Nagaland Kohima Neiphiu Rio
20 Orissa Bhubaneswar Naveen Patnaik
21 Punjab Chandigarh Parkash Singh Badal
22 Rajasthan Jaipur Ashok Gehlot
23 Sikkim Gangtok Pawan Chamling
24 Tamil Nadu Chennai Ms. J. Jayalalithaa
25 Tripura Agartala Manik Sarkar
26 Uttar Pradesh Lucknow Ms. Mayawati
27 Uttarakhand Dehradun Ramesh Pokhriyal
28 West Bengal Kolkata Ms. Mamata Banerjee

List of Chief Ministers of Indian Union Territories
No. Union Territory Chief Minister
1 Delhi Mrs. Sheila Dikshit
2 Puducherry (Pondicherry) N. Rangasamy

List of Lt. Governors & Administrators of Indian Union Territories
No. Union Territory Lt. Governors & Administrators
1 Andaman and Nicobar Islands Bhopinder Singh
2 Chandigarh Shivraj V. Patil
3 Dadra and Nagar Haveli Satya Gopal/td>
4 Daman and Diu Satya Gopal
5 Delhi Tejendra Khanna
6 Lakshadweep J. K. Dadoo
7 Puducherry Iqbal Singh

General Knowledge Quiz No. 3

1) In the Bible who interpreted the dreams of Pharaoh?
a) Joseph
b) Daniel
c) David
d) Samuel
2) The flag of which country has the Star of David?
a) USA
b) Iraq
c) Israel
d) Nepal
3) In which year was Magna Carta signed?
a) 1603
b) 1066
c) 1707
d) 1215
4) When was Carthage destroyed?
a) 149 B.C.
b) 323 B.C.
c) 44 A.D.
d) 70 A.D.
5) Which country is ruled by a single dynasty for more than two thousand years?
a) England
b) Persia
c) Japan
d) Egypt
6) Who is the author of Ben Hur?
a) William Shakespeare
b) Bernard Shaw
c) Victor Hugo
d) Lew Wallace
7) Which game is played with five players on either side?
a) Basketball
b) Volleyball
c) Hockey
d) Football
8) Which is the national flower of Ireland?
a) Shamrock
b) Daffodil
c) Marigold
d) Jasmine
9) Which is the capital of Afghanistan?
a) Teheran
b) Baghdad
c) Kabul
d) Tashkent
10) What is the baptismal name of Pope John XXIII?
a) Albino Luciani
b) Angelo Roncalli
c) Aldo Moro
d) Sandro Pertini
11) Where is Emperor Akbar’s tomb?
a) Delhi
b) Amarkot
c) Agra
d) Sikandra
12) Who died in the Battle of Trafalgar?
a) Napoleon Bonaparte
b) Horatio Nelson
c) Francis Drake
d) Charles Martel
13) To which Order did Martin Luther belong?
a) Augustinian
b) Dominican
c) Capuchin
d) Franciscan
14) What is the type of Government in Swaziland?
a) Monarchy
b) Aristocracy
c) Theocracy
d) Anarchy
15) Who killed US President Abraham Lincoln?
a) Lee Harvey Oswald
b) John Hinckley
c) John Wilkes Booth
d) Michael Schiavo
16) Who won the Hockey World Cup in 1975?
a) India
b) Pakistan
c) Germany
d) Australia
17) Which TV news channel began telecast in 1980?
a) Star News
b) CNN
c) BBC
d) Fox News
18) Which of the following is not a gas?
a) Nitrogen
b) Oxygen
c) Helium
d) Mercury
19) Which state was known as Mysore?
a) Kerala
b) Andhra Pradesh
c) Karnataka
d) Tamil Nadu
20) Who was the Czar of Russia in 1917?
a) Nicholas II
b) Alexander II
c) Ivan IV
d) Peter II
21) What is the height of the proposed Burj Tower in Dubai?
a) 400 metres
b) 520 metres
c) 600 metres
d) 800 metres
22) The islands Hokkaido, Honshu, Shikoku and Kyushu are part of which country?
a) Philippines
b) S. Korea
c) Japan
d) Vietnam
23) Who is the patron saint of Australia?
a) St. Peter
b) Mary Help of Christians
c) St. Paul
d) St. Rock
24) When is the Feast Day of St. John the Baptist?
a) March 19
b) June 24
c) July 19
d) August 15
25) Which of the following countries is landlocked?
a) Switzerland
b) Italy
c) Spain
d) France

General Knowledge Quiz no. 3 Questions with Answers

1) In the Bible who interpreted the dreams of Pharaoh?
a) Joseph
2) The flag of which country has the Star of David?
c) Israel
3) In which year was Magna Carta signed?
d) 1215
4) When was Carthage destroyed?
a) 149 B.C.
5) Which country is ruled by a single dynasty for more than two thousand years?
c) Japan
6) Who is the author of Ben Hur?
d) Lew Wallace
7) Which game is played with five players on either side?
a) Basketball
8) Which is the national flower of Ireland?
a) Shamrock
9) Which is the capital of Afghanistan?
c) Kabul
10) What is the baptismal name of Pope John XXIII?
b) Angelo Roncalli
11) Where is Emperor Akbar’s tomb?
d) Sikandra
12) Who died in the Battle of Trafalgar?
b) Horatio Nelson
13) To which Order did Martin Luther belong?
a) Augustinian
14) What is the type of Government in Swaziland?
a) Monarchy
15) Who killed US President Abraham Lincoln?
c) John Wilkes Booth
16) Who won the Hockey World Cup in 1975?
a) India
17) Which TV news channel began telecast in 1980?
b) CNN
18) Which of the following is not a gas?
d) Mercury
19) Which state was known as Mysore?
c) Karnataka
20) Who was the Czar of Russia in 1917?
a) Nicholas II
21) What is the height of the proposed Burj Tower in Dubai?
d) 800 metres
22) The islands Hokkaido, Honshu, Shikoku and Kyushu are part of which country?
c) Japan
23) Who is the patron saint of Australia?
b) Mary Help of Christians
24) When is the Feast Day of St. John the Baptist?
b) June 24
25) Which of the following countries is landlocked?
a) Switzerland


General Knowledge Quiz No. 2

1) Who won the Football World Cup in 1982?
a) Brazil
b) Argentina
c) Germany
d) Italy
2) Which country is known as Suomi?
a) France
b) Finland
c) Italy
d) Norway
3) Who was the Roman Emperor in 41-54 AD?
a) Titus
b) Caligula
c) Claudius
d) Nero

4) Who won Wimbledon Women’s Singles Championship in 1988?
a) Chris Evert
b) Martina Navratilova
c) Gabriela Sabatini
d) Steffi Graf
5) Who is the author of Pride and Prejudice?
a) Jane Austen
b) Agatha Christie
c) William Shakespeare
d) Bernard Shaw
6) In the Bible, who is the eldest son of David?
a) Solomon
b) Absalom
c) Amnon
d) Jonathan
7) In which film it is said, “Some dreams come true. Some don’t. Keep on dreaming.”?
a) Autumn in New York
b) Pretty Woman
c) Basic Instinct
d) The Runaway Bride
8) Who is considered the father of geometry?
a) Pythagoras
b) Socrates
c) Alexander
d) Euclid
9) Which country was known as Nyasaland?
a) Zambia
b) Malawi
c) Zimbabwe
d) Namibia
10) Which sea separates Egypt from Saudi Arabia?
a) Blue Sea
b) Black Sea
c) Red Sea
d) Yellow Sea
11) Which country has 11 official languages?
a) India
b) USA
c) Canada
d) South Africa
12) Which pope divided the world between Portugal and Spain?
a) Pius XII
b) John II
c) Alexander VI
d) Martin V
13) How many lines are in a limerick?
a) Five
b) Seven
c) Four
d) Three
14) The flag of which country has one big star and four small stars?
a) India
b) China
c) Pakistan
d) Japan
15) Which is the national animal of Argentina?
a) Puma
b) Lion
c) Tiger
d) Deer
16) Who won seven gold medals in swimming in 1972 Munich Olympics?
a) Mark Spitz
b) Janet Evans
c) Shane Gould
d) Anita Sood
17) What is sodium chloride?
a) Pepper
b) Ginger
c) Salt
d) Onion
18) Who is the patron saint of music?
a) St. Agnes
b) St. Cecilia
c) St. Jerome
d) St. Augustine
19) What is the meaning of Anno Domini?
a) Year of the Lord
b) Good Year
c) Holy Year
d) Jubilee Year
20) In the Bible, Joseph was sold by his brothers for how many silver coins?
a) Forty
b) Sixty
c) Twenty
d) Ten
21) How many furlongs is one mile?
a) Six
b) Eight
c) Four
d) Twelve
22) Who is the founder of Sikhism?
a) Ram Mohan Roy
b) Ranjeet Singh
c) Guru Nanak
d) Zoroaster
23) When is the Feast Day of St. Francis Xavier?
a) January 1
b) March 19
c) June 29
d) December 3
24) Which river joins Ganga at Allahabad?
a) Indus
b) Yamuna
c) Godavari
d) Damodar
25) Who was the Carthagian general during Punic War II?
a) Hannibal
b) Attila
c) Chengiz Khan
d) Saladin

General Knowledge Quiz No. 2 Questions with Answers

1) Who won the Football World Cup in 1982?
d) Italy
2) Which country is known as Suomi?
b) Finland
3) Who was the Roman Emperor in 41-54 AD?
c) Claudius
4) Who won Wimbledon Women’s Singles Championship in 1988?
d) Steffi Graf
5) Who is the author of Pride and Prejudice?
a) Jane Austen
6) In the Bible, who is the eldest son of David?
c) Amnon
7) In which film it is said, “Some dreams come true. Some don’t. Keep on dreaming.”?
b) Pretty Woman
8) Who is considered the father of geometry?
d) Euclid
9) Which country was known as Nyasaland?
b) Malawi
10) Which sea separates Egypt from Saudi Arabia?
c) Red Sea
11) Which country has 11 official languages?
d) South Africa
12) Which pope divided the world between Portugal and Spain?
c) Alexander VI
13) How many lines are in a limerick?
a) Five
14) The flag of which country has one big star and four small stars?
b) China
15) Which is the national animal of Argentina?
a) Puma
16) Who won seven gold medals in swimming in 1972 Munich Olympics?
a) Mark Spitz
17) What is sodium chloride?
c) Salt
18) Who is the patron saint of music?
b) St. Cecilia
19) What is the meaning of Anno Domini?
a) Year of the Lord
20) In the Bible, Joseph was sold by his brothers for how many silver coins?
c) Twenty
21) How many furlongs is one mile?
b) Eight
22) Who is the founder of Sikhism?
c) Guru Nanak
23) When is the Feast Day of St. Francis Xavier?
d) December 3
24) Which river joins Ganga at Allahabad?
b) Yamuna
25) Who was the Carthagian general during Punic War II?
a) Hannibal

General Knowledge Quiz No. 1

1) Who is the first President of the United States of America?
a) George Washington
b) Thomas Jefferson
c) James Monroe
d) John Adams
2) Who was born on August 15, 1769?
a) Winston Churchill
b) Queen Victoria
c) Napoleon Bonaparte
d) George V
3) Which city was previously known as Salisbury?
a) London
b) Paris
c) Harare
d) New York

4) Who is the author of “A streetcar named desire”?
a) Jhumpa Lahiri
b) Tennessee Williams
c) Ian Fleming
d) Salman Rushdie
5) Which film is in Aramaic and Latin?
a) The Ten Commandments
b) Ben Hur
c) Apocalypto
d) The Passion of the Christ
6) Who won Wimbledon Men’s Singles Championship in 1977?
a) John McEnroe
b) Arthur Ashe
c) Boris Becker
d) Bjorn Borg
7) Who won the Olympic Gold Medal for hockey in 1980?
a) India
b) UK
c) USA
d) USSR
8) What name was taken by Cardinal Joseph Sarto when he became pope?
a) John XXIII
b) Paul VI
c) Benedict XVI
d) Pius X
9) How many metres is one mile?
a) 1000
b) 100
c) 1609.344
d) 1705.212
10) What are vertebrates that live both under water and on land called?
a) Amphibians
b) Cats
c) Grasshoppers
d) Frogs
11) Which of the following books is not part of Pentateuch?
a) Genesis
b) Numbers
c) Ruth
d) Exodus
12) Which of the following countries is landlocked?
a) Brazil
b) Cuba
c) Bolivia
d) Colombia
13) What does Yugoslavia mean?
a) The land of the rising sun
b) The land of the midnight sun
c) The land of the Southern Slavs
d) The land of Yahoos
14) Which state of USA was once part of Russia?
a) Alaska
b) Louisiana
c) Florida
d) California
15) What did the Greeks call the present day Amu River in Iran?
a) Indus
b) Ganges
c) Jhelum
d) Oxus
16) Which of these is not a metal?
a) Gold
b) Diamond
c) Silver
d) Copper
17) Which language is written in five scripts?
a) Hindi
b) Urdu
c) Konkani
d) Telugu
18) Which British monarch in 20th century was not crowned?
a) George V
b) Edward VIII
c) George VI
d) William IV
19) Who was told “Beware the Ides of March.”?
a) Julius Caesar
b) Augustus Caesar
c) Mark Antony
d) Cleopatra
20) Which country’s postal stamps have the name Helvetia?
a) Finland
b) Iceland
c) Switzerland
d) Swaziland
21) Yen is the currency of which country?
a) Japan
b) China
c) Nepal
d) Bhutan
22) Which is the national flower of Australia?
a) Red Rose
b) Lotus
c) Tulip
d) Golden Wattle
23) What is the number of squares on a chess board?
a) 72
b) 64
c) 32
d) 48
24) Which city was the summer capital of India during British Rule?
a) Nainital
b) Darjeeling
c) Simla
d) Ooty
25) The name of which city was changed to Petrograd and Leningrad?
a) Moscow
b) Tashkent
c) Kiev
d) St. Petersburg

General Knowledge Quiz No.1 Questions with Answers

1) Who is the first President of the United States of America?
a) George Washington
2) Who was born on August 15, 1769?
c) Napoleon Bonaparte
3) Which city was previously known as Salisbury?
c) Harare
4) Who is the author of “A streetcar named desire”?
b) Tennessee Williams
5) Which film is in Aramaic and Latin?
d) The Passion of the Christ
6) Who won Wimbledon Men’s Singles Championship in 1977?
d) Bjorn Borg
7) Who won the Olympic Gold Medal for hockey in 1980?
a) India
8) What name was taken by Cardinal Joseph Sarto when he became pope?
d) Pius X
9) How many metres is one mile?
c) 1609.344
10) What are vertebrates that live both under water and on land called?
a) Amphibians
11) Which of the following books is not part of Pentateuch?
c) Ruth
12) Which of the following countries is landlocked?
c) Bolivia
13) What does Yugoslavia mean?
c) The land of the Southern Slavs
14) Which state of USA was once part of Russia?
a) Alaska
15) What did the Greeks call the present day Amu River in Iran?
d) Oxus
16) Which of these is not a metal?
b) Diamond
17) Which language is written in five scripts?
c) Konkani
18) Which British monarch in 20th century was not crowned?
b) Edward VIII
19) Who was told “Beware the Ides of March.”?
a) Julius Caesar
20) Which country’s postal stamps have the name Helvetia?
c) Switzerland
21) Yen is the currency of which country?
a) Japan
22) Which is the national flower of Australia?
d) Golden Wattle
23) What is the number of squares on a chess board?
b) 64
24) Which city was the summer capital of India during British Rule?
c) Simla
25) The name of which city was changed to Petrograd and Leningrad?
d) St. Petersburg

NUMERICAL ABILITY

1. A clock shows the time as 6 a.m. If the minute hand gains 2 minutes every hour, how many minutes will the clock gain by 9 p.m.?
(a) 30 minutes
(b) 25 minutes
(c) 28 minutes
(d) 34 minutes
2. Find the right number, from the given options, at the place marked by the question mark: 2, 4, 8, 32, 256, ?
(a) 4096
(b) 8192
(c) 512
(d) 1024
3. Find the number missing at question mark:
10, 11, 23, 39, 64, ?, 149
(a) 100
(b) 103
(c) 78
(d) 128
4. A super fast bus of KSRTC starting from ‘Trivandrum’ and reaches ‘Attingal’ in 45 minutes with an average speed of 40 km/hr. If the speed is increased by 10 km/hr how much time it will take to cover the same distance?
(a) 34 minutes (b) 36 minutes (c) 38 minutes (d) 40 minutes
5. The difference between 6 times and 8 times of a figure is 14. What is the figure?
(a) 12 (b) 9 (c) 7 (d) 6
6. If 92y = 36 what is 9y?
(a) 4 (b) 6 (c) 9 (d) 18
7. One fourth percent of 180 is:
(a) 4.5 (b) 0.45 (c) 0.045 (d) 45
8. A candidate appearing for an examination has to secure 40% marks to pass paper I. But he secured only 40 marks and failed by 20 marks. What is the maximum mark for paper I?
(a) 100 (b) 200 (c) 180 (d) 150
9. Find the missing number 32, 52, 74, 112, 135 ……………
(a) 16 (b) 15 (c) 17 (d) 14
10. If 250 is increased to 300, what is the percentage increase?
(a) 16.67 (b) 20 (c) 23 (d) 17
11. The ratio of 9 seconds to 10 hours is ………….
(a) 1:40 (b) 1:4000 (c) 9:10 (d) 1:400
12. A person lost 10% when he sold goods at Rs.153. For how much should he sell them to gain 20%?
(a) 204 (b) 250 (c) 240 (d) 210
13. What will be xy if 7862xy is to be divisible by 125?
(a) 25 (b) 00 (c) 75 (d) 50
14. A train of 100 meters long is running at the speed of 36 km per hour. In what time it passes a bridge of 80 meters long?
(a) 30 seconds (b) 36 seconds (c) 20 seconds (d) 18 seconds
15. If two-third of a bucket is filled in one minute then the time taken to fill the bucket completely will be …….
(a) 90 seconds (b) 70 seconds (c) 60 seconds (d) 100 seconds
16. If a quarter kilogram costs Rs. 60 then how much will cost for 150 grams?
(a) Rs. 30 (b) Rs. 24 (c) Rs. 36 (d) Rs. 40
17. If 3 men or 6 boys can do a piece of work in 20 days then how many days with 6 men and 8 boys take to do the same work?
(a) 5 (b) 8 (c) 10 (d) 6
18. Find the sum of first 100 natural numbers
(a) 5050 (b) 5005 (c) 9900 (d) 9050
19. Two poles of height 6 meters and 11 meters stand on a plane ground. If the distance between their feet is 12 meters then find the difference in the distance between their tops:
(a) 12m (b) 5m (c) 13m (d) 11m
20. How many balls of radius 4 cm can be made from a solid sphere of lead of radius 8 cm?
(a) 4 (b) 8 (c) 16 (d) 2
21. The solution to x2 +6x+9 = 0 is ……..
(a) x1 = + 3, x2 = -3 (b) x1 = 3, x2 = 3
(c) x1 = -3, x2 = -3 (d) No solution
22. What is the chance of getting a 2 or 4 in rolling a die?
(a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2
23. At what rate of simple interest per annum an amount will be doubled in 10 years?
(a) 10% (b) 7.5% (c) 16% (d) 15%
24. Five times an unknown number is 5 less than 50. The unknown number
(a) 10 (b) 11 (c) 9 (d) 5
25. The acute angle between the hour hand and minute hand of a clock at 4 PM
(a) 900 (b) 1200 (c) 1500 (d) 2400
26. Water is filled in a cylindrical vessel in such a way that its volume doubles after every five minutes. If it takes 30 minutes for the vessel to be full, then the vessel will be one fourth full in
(a) 20 minute (b) 25 minutes
(c) 7 minutes 30 seconds (d) 10 minutes
27. If 10 cats can kill 10 rats in 10 minutes how long will it take 100 cats to kill 100 rats
(a) 1 minutes (b) 10 minute (c) 100 minutes (d) 10000 minutes
28. If 75 % of a number is added to 75, the result is the number itself, then the number is:
(a) 250 (b) 750 (c) 400 (d) 300
29. A school has enough food for 400 children for 12 days. How long will the food last if 80 more children join them?
(a) 6 days (b) 7 days (c) 10 days (d) 8 days
30. The sum of two consecutive numbers is 55, which is the largest number?
(a) 25 (b) 28 (c) 26 (d) 27
31. When a shop keeper sold 2/3 of an item, he got the cost price of the whole lot. What is the percentage of his profit?
(a) 33 1/8 % (b) 66 2/3 % (c) 25 % (d) 50 %
32. The perimeter of a rectangular field is 480 meters and the ratio between the length and breadth is 5:3. The area of the field is:
(a) 7,200m2 (b) 15,000m2 (c) 54,000m2 (d) 13,500m2
33. If you add 100 to a certain number, the result will be more than, if you multiply that number by 1000 what is that number?
(a) 1.5 (b) 1.0 (c) 2.5 (d) 2.0
34. A student has to secure 40 % marks to pass. He gets 150 marks and fails by 30 marks. What is the maximum marks?
(a) 400 (b) 500 (c) 475 (d) 450
35. The circumcentre of an obtuse triangle will always be in the
(a) Interior of the triangle
(b) Midpoint of the diameter
(c) Exterior of the triangle
(d) Midpoint of the side of the triangle
36. What is the degree measure of a semicircle?
(a) 360 (b) 90 (c) 270 (d) 180
37. Which among the following is the point of intersection of the medians of a triangle?
(a) Circumcentre (b) Centroid (c) Orthocenter (d) Incentre
38. The height of a cone and its base diameter are equal. If the base radius is ‘r’ what is its slant height?
(a) 3r (b) 4r (c) v5r (d) v3r
39. The radii of two spheres are in the ratio 2:3. What is the ratio of their surface areas?
(a) 4:9 (b) 2:3 (c) 8:27 (d) 4:6
40. What is the common ratio of the progression 3v2, 6, 6v2 ?
(a) 3 (b) 2 (c) v2 (d) v3
41. In class of 100 students 50 students passed in Mathematics and 70 passed in English, 5 students failed in both Mathematics and English. How many students passed in both the subjects?
(a) 25 (b) 30 (c) 50 (d) 45
42. Speed of a boat in still water is 9 km/hr. It goes 12 km down stream and comes back to the starting point in three hours.What is the speed of water in the stream?
(a) 3 km/hr (b) 4 km/hr (c) 4.5 km/hr (d) 5 km/hr
43. A student was asked to add 16 and subtract 10 from a number.He by mistake added 10 and subtracted 16. If his answer is 14 what is the correct answer?
(a) 20 (b) 26 (c) 30 (d) 32
44. Find the area of a right angled triangle whose hypotenuse is 10 cm and base 8 cm.
(a) 48 sq.cm (b) 34 sq.cm (c) 24 sq.cm (d) 42 sq.cm
45. Find the next term of the series: 3, 6, 9, 18, 27, 54, ……
(a) 81 (b) 69 (c) 63 (d) 57
46. A number consists of 20 plus 20% of its value. The number is:
(a) 20 (b) 22 (c) 25 (d) 30
47. 20% of 5 + 5% of 20 =
(a) 5 (b) 2 (c) 6 (d) 21
48. The angle between the minute hand and the hour hand of a clock, when the time is 8.30
(a) 800 (b) 600 (c) 1050 (d) 750
49. Rs. 1581 is divided among A, B and C in the ratio 10 : 15 : 6. What is the share of B?
(a) 306 (b) 765 (c) 700 (d) 510
50. The sum of four consecutive counting numbers is 154. Find the smallest number:
(a) 36 (b) 37 (c) 38 (d) 31
Answers
1 A 11 B 21 C 31 D 41 A
2 B 12 A 22 B 32 D 42 A
3 A 13 D 23 A 33 B 43 B
4 B 14 D 24 C 34 D 44 C
5 C 15 A 25 B 35 C 45 A
6 B 16 C 26 A 36 D 46 C
7 C 17 D 27 B 37 B 47 B
8 D 18 A 28 D 38 C 48 D
9 C 19 C 29 C 39 C 49 B
10 B 20 B 30 B 40 C 50 B

Quantitative Aptitude Test

Quantitative Aptitude Test Question 1

If x and y are the two digits f the number 653xy such that this number is divisible by 80, then x+y is equal to:
(i) 2
(ii) 3
(iii) 4
(iv) 6
Solution:
Since 653xy is divisible by 2 as well as by 5, so y = 0
Now 653x0 is divisible by 8 so 3x0 is also divisible by 8.
By hit and trial x=6 and x+y = 6
(I am thankful to the contributors below on pointing out mistake in the answer.)

Quantitative Aptitude Test Question 2

The smallest number which when diminished by 3 is divisible by 21,28,36 and 45 is... (i) 869
(ii) 859
(iii) 4320
(iv) 427
Solution:
The required number = l.c.m. of (21,28,36 ,45)+3=1263

Quantitative Aptitude Test Question 3

If 1.5x=0.04y then the value of (y-x)/(y+x) is (i) 730/77
(ii) 73/77
(iii) 7.3/77
(iv) None
Solution: x/y = 0.04/1.5 = 2/75
So (y-x)/(y+x) = (1 - x/y)/(1 + x/y) = (1 - 2/75)/ (1 + 2/75) = 73/77

Quantitative Aptitude Testing Question 4

The average age of a class is 15.8 years. The average age of boys in the class is 16.4 years while that of girls is 15.4 years. What is the ratio of boys to girls in the class?(i) 1:2
(ii) 3:4
(iii) 3:5
(iv) None of these
Solution:
Let the ratio be k:1.
Then k*16.4+1*15.4 + (k+1)*15.8 (16.4-15.8)k = 15.8 - 15.4 k=0.4/0.6 = 2/3 so required ratio = 2:3
Mr. Ankit from India has corrected the answer as:
Then k*16.4+1*15.4 = (k+1)*15.8 (16.4-15.8)k = 15.8 - 15.4 k=0.4/0.6 = 2/3 so required ratio = 2:3
You may respond to him at the post below with his name.

Quantitative Aptitude Testing Question 5

If one-seventh of a number exceeds its eleventh part by 100 then the number is… (i) 770
(ii) 1100
(iii) 1825
(iv) 1925
Solution:
Let the number be x. Then X/7 - x/11 =100 11x-7x = 7700 x=1925.

Quantitative Aptitude Test Question 6

The ratio of Rita's age to her mother's age is 3:8. The difference of their ages is 35 years. The ratio of their ages after 4 years will be:(i) 7:12
(ii) 5:12
(iii) 38:43
(iv) 42:47
Solution:
Let their ages be 3x and 8x
8x - 3x =35
x =7
Their present ages are 21 and 56 years.
Ratio of their ages after 4 years are 25:60 = 5:12

Quantitative Aptitude Test Question 7

Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 15 times as heavy as water? (i) 1:1
(ii) 2:3
(iii) 1:2
(iv) 3:2
Solution:
Let 1gm of gold be mixed with x gm of copper to give (1+x)gm of the alloy.
1G=19W, 1C = 9W and alloy = 15W 1gm gold + xgm Copper = (1+x)gm alloy 19W+9Wx = (1+x)*15W x = 4W/6W = 2/3
So ratio of gold and copper is 1:2/3 or 3:2

Quantitative Aptitude Test Question 8

A tap can fill the tank in 15 minutes and another can empty it in 8 minutes. If the tank is already half full and both the taps are opened together, the tank will be: (i) filled in 12 min
(ii) emptied in 12 min
(iii) filled in 8 min
(iv) emptied in 8 min
Solution:
Rate of waste pipe being more the tank will be emptied when both taps are opened.
Net emptying workdone in 1min =(1/8 -1/16)= 1/16
So full tank will be emptied in 16 min
Half tank will be emptied in 8 minutes.

Quantitative Aptitude Test Question 9

A man can row 5 kmph in still water. If the river is running at 1kmph, it takes him 75 minutes to row to a place and back. How far is the place? (i) 3km
(ii) 2.5 km
(iii) 4 km
(iv) 5 km
Solution:
Speed downstream = (5+1)km/hr = 6 km/hr Speed upstream = (5-1)km/hr = 4 km/hr Let the required distance be x km x/6 + x/4 = 75/60 2x+3x = 15 x = 3km

Quantitative Aptitude Test Question 10

729 ml of a mixture contains milk and water in ratio 7:2. How much of the water is to be added to get a new mixture containing half milk and half water? (i) 79 ml
(ii) 81 ml
(iii) 72 ml
(iv) 91 ml
Solution:
Milk = (729 * (7/9))=567ml
Water = (729-567)= 162ml
Let water to be added be x ml 567/(162+x) = 7/3 1701 = 1134 + 7x x = 81ml

Note:

Discussion on Answer to Question No.10 has taken a long time. Different visitors gave different answers. However, majority of the visitors have contributed that the answer should be 405 ml of water as: The quantity of milk in the mixture is
7/(7+2) X 729
= 7/9 X 729
= 567mL
The quantity of water then shall be
729 - 567 = 162mL
If the final mixture would contain half milk and half water, there must be equal quantity of both.
So in order to make up for water, we'll need to add
567mL - 162mL= 405mL of water