new microsoft word document
TRANSCRIPT
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Synonyms for list
noun record, tabulation
series star
file star
table star
calendar star
poll star
ballot star
archive star
index star
menu star
program star
draft star
inventory star
dictionary star
schedule star
tally star
catalog star
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ticket star
account star
bill star
agenda star
directory star
lineup star
lexicon star
memorandum star
canon star
invoice star
contents star
row star
statistics star
brief star
enumeration star
arrangement star
syllabus star
catalogue star
gazette star
timetable star
roll star
vocabulary star
slate star
bulletin star
thesaurus star
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panel star
census star
outline star
register star
manifest star
prospectus star
docket star
scroll star
loop star
roll call star
listing star
checklist star
screed star
Antonyms for list
disorganization
Roget's 21st Century Thesaurus, Third Edition Copyright © 2013 by the Philip Lief Group.
Cite This Source
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Synonyms
verb keep a record; tabulate
register star
detail star
spell out star
note star
place star
classify star
file star
enter star
post star
specify star
invoice star
tab star
enumerate star
poll star
numerate star
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index star
particularize star
itemize star
catalogue star
book star
inventory star
peg star
schedule star
tally star
chart star
inscribe star
arrange star
insert star
enroll star
census star
chronicle star
bill star
manifest star
record star
specialize star
docket star
run down star
calender star
button down star
keep count star
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put down as star
put down for star
set down star
tick off star
write down star
Antonyms
erase
withhold
disarrange
disorder
disorganize
straighten
displace
forget
cancel
lie
Roget's 21st Century Thesaurus, Third Edition Copyright © 2013 by the Philip Lief Group.
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Synonyms
verb lean, slant
slope star
incline star
tilt star
recline star
tip star
cant star
careen star
pitch star
heel star
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Antonyms
straighten
forget
lie
Roget's 21st Century Thesaurus, Third Edition Copyright © 2013 by the Philip Lief Group.
Cite This Source
Concept Thesaurus for word list
1. NUMBER, IN THE ABSTRACT
Synonyms - noun
list
schedule
bill of costs
file
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catalog
register (record)
syllabus
calendar
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catalogue
account
terrier
index
inventory
bill
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tally
table
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EXPAND
More words related to list
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amount
noun. total
addition
aggregate
all
bad news
body
budget
cost
damage
entirety
expense
extent
list
lot
net
outlay
output
price tag
product
quantum
score
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set-back
sum
tab
tidy sum
whole
book
noun. account; diary
agenda
album
list
notebook
pad
record
register
roster
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bulletin
noun. message, notification
account
announcement
break
calendar
communication
communiqué
dispatch
flash
handout
hot wire
item
list
news
news flash
notice
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program
publication
release
report
scoop
skinny
statement
the dope
what's going down
what's happening
calendar
noun. schedule of events
agenda
almanac
annal
bulletin
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card
chronology
daybook
diary
docket
journal
lineup
list
log
logbook
menology
pipeline
program
record
register
sked
system of reckoning
tab
table
time
timetable
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canon
noun. rule, edict
assize
catalogue
command
commandment
criterion
declaration
decree
decretum
dictate
doctrine
dogma
formula
law
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list
maxim
order
ordinance
precept
principle
regulation
roll
screed
standard
statute
table
tenet
touchstone
yardstick
cant
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verb. lean, slant
angle
bevel
careen
grade
heel
incline
list
recline
rise
slope
tilt
tips
More words related to list
cast
noun. actors in performance
actors
actresses
artists
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characters
company
dramatis personae
list
parts
players
roles
troupe
catalog/catalogue
noun. written or printed matter featuring a selection of objects
archive
brief
bulletin
calendar
cartulary
charts
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classification
compendium
directory
docket
draft
enumeration
gazette
gazetteer
hit list
index
inventory
list
prospectus
record
register
roll
roster
schedule
slate
specification
syllabus
synopsis
table
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category
noun. classification, type
class
department
division
grade
group
grouping
head
heading
kind
league
level
list
order
pigeonhole
rank
section
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sort
tier
column
noun. line, procession
cavalcade
company
file
list
platoon
queue
rank
row
string
train
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directory
noun. reference book; guide
agenda
almanac
atlas
blue book
book
catalogue
charts
gazeteer
hit list
index
laundry list
lineup
list
little black book
record
register
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roster
scorecard
short list
social register
syllabus
white pages
who's who
yellow pages
enlist
verb. sign up for responsibility
admit
appoint
assign
attract
call to arms
call up
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conscribe
conscript
draft
embody
employ
engage
enroll
enter
enter into
gather
get
hire
hitch
incorporate
induct
initiate
inscribe
interest
join
join up
levy
list
mobilize
muster
oblige
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obtain
place
press into service
procure
record
recruit
register
reserve
secure
serve
sign on
take on
volunteer
file
noun. system of order, placement for ease of use
book
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cabinet
case
census
charts
circular file
data
directory
docket
documents
dossier
folder
index
information
list
notebook
pigeonhole
portfolio
record
register
repository
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file
noun. line, queue
column
echelon
list
parade
rank
row
string
tier
troop
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file
verb. put in place, order
alphabetize
arrange
catalog
catalogue
categorize
classify
deposit
docket
document
enter
index
list
pigeonhole
record
register
slot
tabulate
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More words related to list
cast
noun. actors in performance
actors
actresses
artists
characters
company
dramatis personae
list
parts
players
roles
troupe
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catalog/catalogue
noun. written or printed matter featuring a selection of objects
archive
brief
bulletin
calendar
cartulary
charts
classification
compendium
directory
docket
draft
enumeration
gazette
gazetteer
hit list
index
inventory
list
prospectus
record
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register
roll
roster
schedule
slate
specification
syllabus
synopsis
table
category
noun. classification, type
class
department
division
grade
group
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grouping
head
heading
kind
league
level
list
order
pigeonhole
rank
section
sort
tier
column
noun. line, procession
cavalcade
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company
file
list
platoon
queue
rank
row
string
train
directory
noun. reference book; guide
agenda
almanac
atlas
blue book
book
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catalogue
charts
gazeteer
hit list
index
laundry list
lineup
list
little black book
record
register
roster
scorecard
short list
social register
syllabus
white pages
who's who
yellow pages
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enlist
verb. sign up for responsibility
admit
appoint
assign
attract
call to arms
call up
conscribe
conscript
draft
embody
employ
engage
enroll
enter
enter into
gather
get
hire
hitch
incorporate
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induct
initiate
inscribe
interest
join
join up
levy
list
mobilize
muster
oblige
obtain
place
press into service
procure
record
recruit
register
reserve
secure
serve
sign on
take on
volunteer
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file
noun. system of order, placement for ease of use
book
cabinet
case
census
charts
circular file
data
directory
docket
documents
dossier
folder
index
information
list
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notebook
pigeonhole
portfolio
record
register
repository
file
noun. line, queue
column
echelon
list
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parade
rank
row
string
tier
troop
file
verb. put in place, order
alphabetize
arrange
catalog
catalogue
categorize
classify
deposit
docket
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document
enter
index
list
pigeonhole
record
register
slot
tabulate
lurch
verb. move toward with jerk
blunder
bumble
careen
dodge
duck
falter
flounder
heave
jerk
lean
list
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move to the side
pitch
reel
rock
roll
seesaw
slide
slip
stagger
stumble
sway
swing
teeter
tilt
toss
totter
wallow
weave
wobble
yaw
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name
verb. choose, designate
announce
appoint
cite
classify
commission
connote
declare
delegate
denote
elect
identify
index
instance
list
make
mark
mention
nominate
peg
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pin down
point to
put down for
put finger on
recognize
refer to
remark
select
signify
single out
slot
specify
suggest
tab
tag
tap
plow
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verb. dig up ground for cultivation
break
break ground
bulldoze
cultivate
farm
furrow
harrow
harvest
list
push
rake
reap
ridge
rush
shove
smash
till
trench
turn
turn over
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poll
verb. take census; question
ballot
canvass
enroll
examine
interview
list
register
sample
send up a balloon
survey
tally
test the waters
vote
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program
verb. plan out; supply instructions
arrange
bill
book
budget
calculate
compile
compute
design
draft
edit
engage
enter
estimate
feed
figure
formulate
get on line
itemize
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lay on
lay out
line up
list
map out
pencil in
poll
prearrange
prioritize
process
register
schedule
set
set up
slate
work out
prospectus
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noun. details, outline of event
announcement
catalogue
conspectus
design
list
plan
program
scheme
syllabus
synopsis
rank
verb. line up; classify in system
align
arrange
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array
assign
assort
button down
class
dispose
establish
estimate
evaluate
fix
give precedence
grade
include
judge
list
locate
marshal
order
peg
pigeonhole
place
place in formation
position
put
put away
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put down as
put down for
put in line
range
rate
regard
settle
size up
sort
tab
typecast
valuate
value
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rattle
verb. talk aimlessly, endlessly
babble
cackle
chat
chatter
clack
gab
gabble
gush
jabber
jaw
list
prate
prattle
reel off
run on
run through
talk a blue streak
talk someone's ear off
yak
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recline
verb. lie down
be recumbent
cant
heel
lay down
lean
lie
list
loll
lounge
repose
rest
slant
slope
sprawl
stretch
stretch out
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tilt
tip
record
verb. write down; store information
book
can
catalog
chalk up
chronicle
copy
cut
cut a track
document
dub
enroll
enter
enumerate
file
indite
inscribe
insert
jot down
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keep account
lay down
list
log
make a recording
mark
mark down
matriculate
note
post
preserve
put down
put in writing
put on file
put on paper
put on tape
register
report
set down
tabulate
take down
tape
tape-record
transcribe
video
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videotape
wax
write in
register
verb. enter in list, record
catalogue
check in
chronicle
enlist
enroll
file
inscribe
join
list
note
record
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schedule
set down
sign on
sign up
sign up for
subscribe
take down
weigh in
repertory
noun. collection
bit
cache
depot
list
range
rep
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repertoire
repository
routine
schtick
stock
stockroom
store
storehouse
stunt
supply
report
verb. communicate information, knowledge
account for
advise
air
announce
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bring word
broadcast
cable
circulate
cover
declare
describe
detail
disclose
document
enunciate
give an account of
give the facts
impart
inform
inscribe
itemize
list
make known
make public
mention
narrate
note
notify
pass on
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present
proclaim
promulgate
provide details
publish
recite
record
recount
rehearse
relate
relay
retail
reveal
set forth
spread
state
summarize
telephone
tell
trumpet
wire
write up
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return
noun. summary
account
form
list
record
report
statement
tabulation
sag
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noun. drop, decline
basin
cant
concavity
depression
dip
distortion
downslide
downswing
downtrend
downturn
droop
fall
fall-off
hollow
list
settling
sink
sinkage
sinkhole
sinking
slant
slip
slump
tilt
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schedule
noun. plan for one's time
agenda
appointments
calendar
catalog
chart
diagram
docket
inventory
itinerary
lineup
list
order of business
program
record
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registry
roll
roster
sked
table
timetable
schedule
verb. plan one's time
appoint
arrange
be due
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book
card
catalog
engage
get on line
line up
list
note
organize
pencil in
program
record
register
reserve
set
set up
sew up
slate
time
write in one's book
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series
noun. order, succession
alternation
arrangement
array
category
chain
classification
column
consecution
continuity
course
file
gradation
group
line
list
procession
progression
range
row
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run
scale
sequel
sequence
set
skein
streak
string
suit
suite
tier
train
slant
verb. angle off, slope
aim
bank
beam
bend
bevel
cant
decline
descend
deviate
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direct
diverge
grade
heel
incline
lean
level
lie obliquely
list
point
skew
splay
swerve
tilt
tip
train
veer
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slope
verb. slant, tilt
angle
ascend
bank
bevel
cant
descend
dip
drop
drop away
fall
heel
incline
lean
list
pitch
rake
recline
rise
shelve
skew
splay
tip
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specify
verb. designate; decide definitely
be specific
blueprint
button down
cite
come to the point
condition
define
detail
determine
draw a picture
enumerate
establish
finger
fix
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get down to brass tacks
get to the point
go into detail
indicate
individualize
instance
inventory
itemize
lay out
limit
list
make
mention
name
particularize
peg
pin down
point out
precise
put down
put finger on
set
settle
show clearly
slot
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specialize
specificate
specificize
spell out
stipulate
tab
tag
tick off
table
noun. diagram with columns of information
agenda
appendix
canon
catalogue
chart
compendium
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digest
graph
illustration
index
inventory
list
plan
record
register
roll
schedule
statistics
summary
synopsis
table of contents
tabulation
tabulate
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verb. figure, classify
alphabetize
arrange
catalogue
categorize
chart
codify
digest
enumerate
formulate
grade
index
list
methodize
order
range
register
systematize
tabularize
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tilt
noun. lean, slope
angle
cant
dip
drop
fall
grade
gradient
inclination
incline
leaning
list
pitch
rake
slant
slide
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tilt
verb. lean, slant
bend
cant
careen
dip
heel
incline
list
lurch
pitch
rake
recline
seesaw
set at an angle
shift
slope
slouch
swag
sway
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tip
turn
yaw
timetable
noun. schedule
agenda
appointments
calendar
chart
chronology
docket
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itinerary
list
order of business
plan
program
record
tip
verb. knock over; cause to lean
bend
cant
capsize
careen
dump
empty
heel
incline
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lean
list
overset
overturn
pour
recline
shift
slant
slope
spill
tilt
topple
topple over
turn over
unload
upend
upset
upturn
scroll
noun. roll of writing
document
list
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papyrus
parchment
roll
schedule
scrawl
streamer
volute
writing
enumeration
noun. inventory
catalog
list
register
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jot
verb. scribble down
indicate
jot down
list
note
record
write
write down
catalogue
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noun. document
archive
brief
bulletin
calendar
cartulary
catalog
charts
classification
compendium
directory
docket
draft
enumeration
gazette
gazetteer
hit list
index
inventory
list
magazine
prospectus
record
register
roll
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roster
schedule
slate
specification
syllabus
synopsis
numerate
verb. count
calculate
list
number
tally
total
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catalog
noun. directory
book
brief
catalogue
file
flyer
index
inventory
list
price list
prospectus
record
register
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roll
roster
schedule
tally
tabulation
noun. table
agenda
appendix
canon
catalogue
chart
compendium
digest
graph
illustration
index
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inventory
list
plan
record
register
roll
schedule
statistics
summary
synopsis
table of contents
How To Solve Blood Relation questions With Simple Aptitude Tricks
Generally, in every competitive exam you may find these type problems. These types of problems test your understanding potential in given time. Here I will explain how to solve blood relation questions with easy & simple trick. Some blood relation questions with answers are also provided under each type.
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puzzles9 - soution of aptitude questions - blood relations type questions with answers
In your own language you may know all types of relations. In English also you should know all types of relation without any doubt. Some important relations are provided below. You should remember these relations to solve these types of problems.
IMPORTANT RELATIONS :
•Mother’s (or) father’s son - Brother
•Mother’s (or) Father’s Daughter – Sister
•Mother’s brother – Maternal Uncle
•Father’s Brother – Paternal uncle
•Mother’s (or) Father’s sister – Aunt
•Mother’s (or) Father’s father – Grand father
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•Mother’s (or) Father’s mother – Grand mother
•Son’s wife – Daughter in law
•Daughter’s husband – Son in law
•Husband’s (or) Wife’s father – Father in law
•Husband’s (or) Wife’s mother – Mother in law
•Husband’s (or) Wife’s brother – Brother in law
•Husband’s (or) Wife’s sister – Sister in law
•Sister’s husband – Brother in law
•Brother’s (or) Sister’s son – Nephew
•Brother’s (or) Sister’s daughter - Niece
TYPE OF PROBLEMS :
1. SINGLE PERSON BLOOD RELATIONS
2. MIXED BLOOD RELATIONS
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3. CODED BLOOD RELATIONS
1. SINGLE PERSON BLOOD RELATIONS (SPBR):
These are Relations between two people only.
DIRECT SPBR :
Break the given sentence at is/was/as and resolve it from last point to is/was/as to get easy solution for the problem.
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Carefully observe the given examples.
Ex - 1 :
Pointing to a lady Ravi said,” She is the only daughter of the father of my sister’s brother”. How is she related to Ravi?
Solution :
Break the given sentence at is.
From the last, in the view of Ravi,
My sister’s brother – brother
Father of brother – father
Daughter of father – sister
So,that becomes “she is my sister”
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So, answer is sister.
Ex-2 :
John introduces Mary as the daughter of the only son of my father’s wife. How is Mary related to john?
Solution :
Break the given sentence at as.
Resolving from the last , In the view of john,
My father’s wife – mother
Only son of mother – himself i.e. john
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Daughter of john– daughter.
So, answer is daughter.
NOTE : Sometimes they might ask like how is john related to Mary. In that case answer is father. So, don’t make answers without clear understanding in this type of problems.
INDIRECT SPBR :
Break the given sentence at is/was/as.
Resolve the sentence from last upto is/was/as.
And also resolve the sentence from the first upto is /was/as.
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Then you will get easy solution. Observe the below examples.
Ex-3 :
Pointing to a man in the photograph, a Woman says,” His mother’s only daughter is my mother”. How is man related to woman?
Solution :
Break the sentence at is.
From the last, up to is : my mother – Woman's mother
From the first, up to is : his mother’s only daughter – his sister
His sister = woman’s mother.
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So, the answer is Mother’s brother i.e. Uncle.
If he asks like how is woman related to that man? Then answer is sister’s daughter i.e. niece.
Ex-4 :
Introducing Suresh, Kalpana said," His brother’s father is the only son of my grandfather”. How is Kalpana related to Suresh?
Solution :
Break the sentence at is.
From the last up to is : The only son of my grandfather – father
From the first up to is : his brother’s father – father
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Suresh’s father = kalpana’s father
So, they are brother & sister.
Answer is sister.
NOTE : Like in the above type of problems
From either ends if it is like Father = Father Uncle= Uncle
Mother = Mother Aunt = Aunt
Then they both may be brothers/ sisters/ bother & sister depending upon their sex.
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2. MIXED BLOOD RELATIONS :
In this, mutual blood relations depending on more than two persons mentioned. These type of problems can be solved with the help of diagrams.
Follow these symbols in the diagram to avoid confusion.
+ - Male candidate
- - Female candidate
ó - Couple
------- - Same generation i.e.brother –brother (or) sister-sister (or) sister
to brother
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_______ - Different generations i.e. father-son (or) mother-son (or) father –
daughter (or) Mother - daughter
The following list of generation might be helpful to you.
First generation : Grand father, Grand mother
Second generation : Father, Mother, Uncle, Aunt.
Third generation : Self, Sister, Brother, Sister in law, Brother in law
Fourth generation : Son, Daughter, Nephew, Niece.
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Better to use the same generation in one horizontal row in the diagrams.
EX – 5 :
A and B are brothers and C and D are sisters. A’s son is D’s brother. How is B related to C?
Solution:
By using above notations we can draw the below diagram. A,B are taken ‘+’ and C ,D
are taken as ‘-’. It seems that A,B belongs to one generation and C,D belongs to another generation.
So, A,B are taken in one horizontal row and C,D are taken in other horizontal line.
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puzzles9 - soution of aptitude questions - blood relations type questions with answers
It says that A is C’s father. Father’s brother is uncle. So, answer is uncle.
Sometimes they might ask paragraph questions in blood relations type problems.
EX – 6 :
Read the information carefully and answer the question given below it.
1. A family consists of 6 members P, Q , R, X, Y, Z.
2. Q is the son of R but R is not mother of Q.
3. P and R are married couple.
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4. Y is the brother of R, X is the daughter of P.
5. Z is the brother of P.
Questions :
1. Who is the brother in law of R?
2. How many female members are there in the family?
3. How is Q related to X?
4. How is Y related to P?
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Solution:
Draw the diagram with given instructions below.
1. Q is son of R. draw this one with thick line in different horizontal rows. Both are male so take as’+’.
2. Use <=> between P and R in same row, because they are couple.
3. Add Y to R with dotted line in same row.
4. Add X to P with thick line downwards to different row. Here, X is ‘–‘.
5. Add Z to P and take Z as ‘+’.
6. So, Q and X are brother & sister.
puzzles9 - soution of aptitude questions - blood relations type questions with answers
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Answers :
1.Brother in law means wife’s brother i.e. Z
2.Two female members are there with ‘-‘ symbols i.e. P and X.
3.Q is brother of X.
4.Y is husband’s brother to P. i.e. brother in law.
NOTE : IN SOLVING MIXED BLOOD RELATIONS MAKE SURE THAT YOUR DIAGRAM IS IN CORRECT REPRESENTATION.
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CODED BLOOD RELATIONS :
In this type, relationships represented by codes and symbols like + , - , / , *. You have to analyse the required relation based on the given code. In this also you may need diagrammatic representation of problem to solve it. Use the same representation used in mixed blood relations.
In the coding equation better to solve the code from last letter.
Ex -7 :
If P+Q means P is husband of Q, P/Q means P is the sister of Q, P*Q means P is the son of Q. how is D related to A in D*B+C/A?
Solution :
C/A – C is sister of Q.
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B+C/A – B is brother in law of A (sister’s husband – brother in law.
D*B+C/A – D is nephew of A (sister’s husband’s son means sister’s son i.e. nephew).
So, answer is Nephew.
FINAL NOTE :
You should remember all the relations to solve blood relations type of problems. Without knowing relations you can’t do anything. Out of all types, Single person blood relations are important in the point of examination’s view
- See more at: http://www.puzzles9.com/2013/09/solve-blood-relations-questiions-with-aptitude-logic.html#sthash.lAvfnfTY.dpuf
Sample Thank You Email After Interview
Dear Ms. Ford,
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Thank you for allowing me to interview for the position of Lead Stylist in your Ready-to-Wear department. I know that the you’re extremely busy with the launch of your new collection, and I appreciate you taking the time to speak with me.
After talking with you today, I can see exactly why your company has been so successful. It seems like you foster a sense of responsibility and ownership within each employee, which incentivizes them to work that much harder toward the company’s success. Combine this with such a positive work environment, and you have a recipe that can’t fail. It makes me all the more excited to have the opportunity to work with you all.
I understand just how vital it is for you to have a team that meshes seamlessly, needs no instruction, and simply makes your life easier. Given the chance to create and style for your iconic brand, I will continue to ensure that every image and every piece produced under your name is worthy, cutting edge, and beautiful.
Thank you again for your time. I would be honored to start working alongside you and your team, so please let me know if I can answer any additional questions or provide other information.
Sincerely,
‘’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’’
Percentages Find 7 % of 300. Sound Difficult? Percents: First of all you need to understand the word “Percent.” The first part is PER , as in 10 tricks per list verse page. PER = FOR EACH. The second part of the word is CENT, as in 100.
Like Century = 100 years. 100 CENTS in 1 dollar… etc. Ok… so PERCENT = For Each 100.
So, it follows that 7 PERCENT of 100, is 7. (7 for each hundred, of only 1 hundred).
8 % of 100 = 8. 35.73% of 100 = 35.73 But how is that useful??
METHOD 1
Back to the 7% of 300 question. 7% of the first hundred is 7. 7% of 2nd hundred is also 7, and 7% of the 3rd hundred is also 7. So 7+7+7 = 21.
If 8 % of 100 is 8, it follows that 8% of 50 is half of 8 , or 4. Break down every number that’s asked into questions of 100, if the number is less then 100, then move the decimal point accordingly.
EXAMPLES:
8%200 = ? 8 + 8 = 16. 8%250 = ? 8 + 8 + 4 = 20. 8%25 = 2.0 (Moving the decimal back).
15%300 = 15+15+15 =45.
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15%350 = 15+15+15+7.5 = 52.
Also it’s useful to know that you can always
flip percents, like 3% of 100 is the same as 100% of 3.
35% of 8 is the same as 8% of 35
METHOD 2
In other words, divide the 'percentage number'
15%500 = (10%+5% =15%) now 10%500=50 and (10/2 = 5) so 50/2=25 now add both 50+25 = 75 is ur answer
20%490= (10% + 10%).. 49+49 = 98
27.5 %444 = (25% +2.5%).. you just need to shift '.' by one left.. 111+11.1 = 122.1
33% 312= (30% + 3%) or (10+10+10+ 1+1+1) or here its easy to find 3times of 312 = 936
so that 936 will be 300% and 30% will be 93.6 and 3% will be 9.36
For answer add 93.6 and 9.36 = 104.66
Posted by Saiswi at Wednesday, May 29, 2013
Time and work ( Method - 1 )
Time and work is a very tough. But it is very easy topic if you know the 'shortcut'. That is why i am here. Now lets see the basic formula to solve this.
M1 x D1 x H1 = M2 x D2 x H2
W1 x E2 W2 x E1
Where M is number of men , D is number of days, H is number of hours per day (if mentioned)
W is work done, E is efficiency (if required or given)
Example 1 : Find how many days could 12 men work, if 4 men can work in 3 days.
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Answer : M1 = 12 M2 = 4
D1 = ? D2 = 3
12 x ? = 4 x 3
So 12 men can work in one day... That's the answer.
Here you can ignore others (hours, work and efficiency). As all these can be taken as constant. And as it is ratio it can be cancelled.
You also find one more method of time n work problems(ie., man, child, woman combo type). I will explain you in my next post.
3 digit multiplication
As you already saw 2-digit multiplication, now we see how to slove 3digit ones.
The Rule is | X * X |
a b c
x d e f
and answer will be | X * X |
same as the 2digit ones.. there must be a minimum of 5 digits in the answer when you multiply two 3-digit numbers.
coming from right end to left end... (as it is the rule to solve multiplications)
first | denotes c x f
next X denotes bf + ec ie., (b x f) + (e x c)
then * denotes af + dc + be
next X denotes ae + bd
and last | denotes a x d
In every digit,, if you have a carry, then u can transfer it to the very next left digit.
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and for this 2 digit or 3-digit multiplication, please don't remember a x f,b x c like that, jut remember the method to solve it.. ie., for 2 digit | X |
and for 3 digit | X * X |
here remember.. that star in middle for 3-digit is like \|/
.. /
Solved Numerical Aptitude Question
Question 1: The sum of the ages of husband and wife is 70 years and the ratio of their age is 3 : 2. The age of the wife is:
1. 32 years
2. 25 years
3. 28 years
4. 27 years
5.
Correct Answer: 3.
Question 2: A trader would incur a loss of 15%, if he sells pens at 10.20 per pen. If 12.5% profit is to be earned after allowing 10% discount on the marked price then find the marked price. ?
1. 20
2. 1.5
3. 150
4. 12
5. 15
Correct Answer: 5.
Question 3: A shopkeeper sells sugar at 4% less than market price, but gives weight 800 grams instead of 1 Kg. What is the profit percentage overall?
1. 5%
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2. 10%
3. 20%
4. 25%
5. 12%
Correct Answer: 3.
Question 4: What is the location of the atomic power station?
1. Mumbai
2. Tarapore
3. Kalpakkam
4. Kaiga
5.
Correct Answer: 2.
Question 5: A shirt was sold at a profit of Rs.50. If a trouser was sold at half the profit percenta9e and the cost price of the trouser is thrice that of the shirt, find the profit made on the trouser (in Rs.)
1. 25
2. 57
3. 75
4. 50
5.
Correct Answer: 3.
Question 6: The average runs scored by a batsman in 20 matches is 40. In the next 10 matches, the batsman scored an average of 13 runs. Find his average in all the 30 matches.
1. 27
2. 26
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3. 31
4. 29
5.
Correct Answer: 3.
Question 7: 729 ml of a mixture contains milk and water in ratio 7 : 2. How much more water is required to be added to get a new mixture containing milk and water in the ratio of 7 : 3?
1. 60 ml
2. 70 ml
3. 81 ml
4. 90 ml
5.
Correct Answer: 3.
Question 8: What is the difference between the simple interest and the compound interest on a sum of 4700 at 20% p.a. for a period of 2 years ?
1. Rs.190
2. Rs.188
3. Rs.196
4. Rs.199
5.
Correct Answer: 2.
Question 9: If a trader sold two cars each at 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is?
1. 14.48% loss
2. 14.4% loss
3. 14.4% profit
4. 1.44% loss
5.
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Correct Answer: 2.
Question 10: A trader wants to sell a watch at 25% profit. If its cost price was Rs.x more, an extra profit of 50.would be made on it. Find x (in Rs.)
1. 100
2. 125
3. 130
4. 145
5. 200
Correct Answer: 5.
Question 11: In how many years does a sum of Rs.5000 give a simple interest of Rs.16500 at 15°, p.a.?
1. 22
2. 24
3. 25
4. 23
5.
Correct Answer: 1.
Question 12: A certain sum becomes Rs.20720 in 4 years and 24080 in 6 years at simple interest. Find sum and rate of interest.
1. Rs.12000; 12% p.a
2. Rs.14000; 12% p.a
3. Rs.12000; 15% p.a
4. Rs.14000; 15% p.a
5.
Correct Answer: 2.
Question 13: Francis and George started a business with investments of Rs.7000/- and Rs.10000/-. After x months, Francis left. After two more months David joined the business with an investment of
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Rs.10000/-. If the annual profit is shared among David, Francis and George in the ratio 10 : 7 : 24, find the respective time periods of David, Francis and George for which they stayed that year.
1. 5:5:12
2. 1:1:3
3. 1:1:4
4. 1:1:2
5.
Correct Answer: 3.
Question 14: 89.447+98.3+67.77=_____________
1. 254.417
2. 250.146
3. 254.369
4. 2549369
5. 255..517
Correct Answer: 5.
Question 15: The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining is 90. Find the number of students who wrote the exam.
1. 15
2. 20
3. 25
4. 35
5.
Correct Answer: 3.
Question 16: The difference between 38% of number and 24% of the same number is 135.10. what is 40% of that number ?
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1. 394
2. 370
3. 378
4. 386
5. None of these
Correct Answer: 4.
Question 17: 29.299+5.55+68.7=____________________________
1. 104.236
2. 123.569
3. 103.549
4. 124.263
5. 25.25521
Correct Answer: 3.
Question 18: A and B can do a work in 20 and 30 days respectively. They started the work together, but A left after some time and B finished the remaining work in 5 days. Then what is the number of days after which A left?
1. 5
2. 10
3. 12
4. 15
5. None of these
Correct Answer: 2.
Question 19: Avinash purchases five cycles at the rate of Rs 450 per cycle. He spends Rs 150 on each cycle for repairs. At what price he should sell them to gain a profit of 35%?
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1. Rs 600
2. Rs 750
3. Rs 608
4. Rs 810
5.
Correct Answer: 4.
Question 20: A sold an article to B at 10% profit and B sold it to C at 15% profit. If B purchased for Rs.220/-, then find the difference in the purchasing prices for A and C.
1. 35
2. 53
3. 45
4. 78
5.
Correct Answer: 2.
Question 21: A shopkeeper sold an Air-conditioner for Rs 25,935 with a discount of 9% and earned a profit of 3.74%. What would have been the percentage of profit earned if no discount were offered?
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1. 15.6%
2. 16%
3. 12.3%
4. None of the above
5.
Correct Answer: 4.
Question 22: Two equal glasses are respectively 1/4 and 3/4 full of milk. They are then filled up with water and the contents are mixed in a tumbler. The ratio of milk and water in the tumbler is:
1. 3 : 11
2. 7 : 17
3. 9 : 23
4. 11 : 23
5.
Correct Answer: 2.
Question 23: Pick the odd number from the series - 11, 12, 8, 27, 10.75, 56.5
1. 12
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2. 8
3. 27
4. 10.75
5. 56.5
Correct Answer: 5.
Question 24: 9.75 + 25.88 + ? = 41.18
1. 5.55
2. 5.75
3. 6.57
4. 4.23
5.
Correct Answer: 1.
Question 25: The value of a machinery decreases by 20% p.a. on the value at the beginning of every year. The value of the machinery after 2 years will be Rs.23526,40. What is the present value of the machinery?
1. Rs.36770
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2. Rs.36750
3. Rs.36740
4. Rs.36760
5.
Correct Answer: 2
10 Simple Tricks to solve faster
1. The 11 Times Trick
We all know the trick when multiplying by ten – add 0 to the end of the number, but did you know there is an equally easy trick for multiplying a two digit number by 11? This is it:
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Take the original number and imagine a space between the two digits (in this example we will use 52:
5_2
Now add the two numbers together and put them in the middle:
5_(5+2)_2
That is it – you have the answer: 572.
If the numbers in the middle add up to a 2 digit number, just insert the second number and add 1 to the first:
9_(9+9)_9
(9+1)_8_9
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10_8_9
1089 – It works every time.
2. Quick Square
If you need to square a 2 digit number ending in 5, you can do so very easily with this trick. Mulitply the first digit by itself + 1, and put 25 on the end. That is all!
252 = (2x(2+1)) & 25
2 x 3 = 6
625
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3. Multiply by 5
Most people memorize the 5 times tables very easily, but when you get in to larger numbers it gets more complex – or does it? This trick is super easy.
Take any number, then divide it by 2 (in other words, halve the number). If the result is whole, add a 0 at the end. If it is not, ignore the remainder and add a 5 at the end. It works everytime:
2682 x 5 = (2682 / 2) & 5 or 0
2682 / 2 = 1341 (whole number so add 0)
13410
Let’s try another:
5887 x 5
2943.5 (fractional number (ignore remainder, add 5)
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29435
22189271
4. Multiply by 9
This one is simple – to multiple any number between 1 and 9 by 9 hold both hands in front of your face – drop the finger that corresponds to the number you are multiplying (for example 9×3 – drop your third finger) – count the fingers before the dropped finger (in the case of 9×3 it is 2) then count the numbers after (in this case 7) – the answer is 27.
5. Multiply by 4
This is a very simple trick which may appear obvious to some, but to others it is not. The trick is to simply multiply by two, then multiply by two again:
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58 x 4 = (58 x 2) + (58 x 2) = (116) + (116) = 232
6. Calculate a Tip
If you need to leave a 15% tip, here is the easy way to do it. Work out 10% (divide the number by 10) – then add that number to half its value and you have your answer:
15% of $25 = (10% of 25) + ((10% of 25) / 2)
$2.50 + $1.25 = $3.75
7. Tough Multiplication
If you have a large number to multiply and one of the numbers is even, you can easily subdivide to get to the answer:
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32 x 125, is the same as:
16 x 250 is the same as:
8 x 500 is the same as:
4 x 1000 = 4,000
8. Dividing by 5
Dividing a large number by five is actually very simple. All you do is multiply by 2 and move the decimal point:
195 / 5
Step1: 195 * 2 = 390
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Step2: Move the decimal: 39.0 or just 39
2978 / 5
step 1: 2978 * 2 = 5956
Step2: 595.6
9. Subtracting from 1,000
To subtract a large number from 1,000 you can use this basic rule: subtract all but the last number from 9, then subtract the last number from 10:
1000 -648
step1: subtract 6 from 9 = 3
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step2: subtract 4 from 9 = 5
step3: subtract 8 from 10 = 2
answer: 352
10. Assorted Multiplication Rules
Multiply by 5: Multiply by 10 and divide by 2.
Multiply by 6: Sometimes multiplying by 3 and then 2 is easy.
Multiply by 9: Multiply by 10 and subtract the original number.
Multiply by 12: Multiply by 10 and add twice the original number.
Multiply by 13: Multiply by 3 and add 10 times original number.
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Multiply by 14: Multiply by 7 and then multiply by 2
Multiply by 15: Multiply by 10 and add 5 times the original number, as above.
Multiply by 16: You can double four times, if you want to. Or you can multiply by 8 and then by 2.
Multiply by 17: Multiply by 7 and add 10 times original number.
Multiply by 18: Multiply by 20 and subtract twice the original number (which is obvious from the first step).
Multiply by 19: Multiply by 20 and subtract the original number.
Multiply by 24: Multiply by 8 and then multiply by 3.
Multiply by 27: Multiply by 30 and subtract 3 times the original number (which is obvious from the first step).
Multiply by 45: Multiply by 50 and subtract 5 times the original number (which is obvious from the first step).
Multiply by 90: Multiply by 9 (as above) and put a zero on the right.
Multiply by 98: Multiply by 100 and subtract twice the original number.
Multiply by 99: Multiply by 100 and subtract the original number.
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Time and work ( Method - 1 )
Time and work is a very tough. But it is very easy topic if you know the 'shortcut'. That is why i am here. Now lets see the basic formula to solve this.
M1 x D1 x H1 = M2 x D2 x H2
W1 x E2 W2 x E1
where
M is number of men
D is number of days
H is number of hours per day (if mentioned)
W is work done
E is efficiency (if required or given)
Example 1 : Find how many days could 12 men work, if 4 men can work in 3 days.
Answer : M1 = 12 M2 = 4
D1 = ? D2 = 3
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12 x ? = 4 x 3
So 12 men can work in one day... That's the answer.
Here you can ignore others (hours, work and efficiency). As all these can be taken as constant. And as it is ratio it can be cancelled.
You also find one more method of time n work problems(ie., man, child, woman combo type). I will explain you in my next post.
Will be back to u soon
If u have any doubts in any topic such as percentages, train problems, and any thing. Please post here. I'll try to get back to you with shortcut and answers soon.
Time, Distance and Train Problems
This is the major topic in any competitive examinations. So, I am now explaining the shortcut and the fastest method for solving these problems. There are four different types of problems in this topic.
They are: 1. Problems on Time taken by train
2. Problems on Distance covered by train
3. Problems on speed of train
4. Problems on 2 trains in same direction
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5. Problems on 2 trains in opposite direction
6. Problems on finding Length of train or platform
7. Problems on platform crossing time
8. Average speeds
You all know this basic Triangle.
/\
/ D \
/ T | S \
D – Distance , T – Time, S – Speed , L – length of train, Lp – Platform length
Where d=t *s
T= d/s
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S= d/t
Time calculated when distance and speed is given : t=d/s
When length (l) and speed is given : t= l/s (pole/man crossing time)
Time taken to cross platform : (L+Lp)/s
Relative speeds : Same direction = (S1 – S2) ; (where s1 >s2)
: Opposite direction = (S1+S2)
Time taken by trains cross in same direction is (sum of lengths of trains / diff in speeds)
Time at which 2 trains pass by is (Sum of lengths / sum of speeds)
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Important NOTE:
Conversions: 18 kmph = 5mps
10 mts --->1kmph ---> 36 sec
20 mts ---> 2kmph ---> 36 sec
30 mts ---> 3kmph ---> 36 sec and so on..
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Ie, a vehicle travels 10 meters distance with 1kmph speed in 36 seconds
Vehicle travels 20 meters distance with 2kmph speed in 36 seconds
Vehicle travels 30 meters distance with 3kmph speed in 36 seconds
Vehicle travels 40 meters distance with 4kmph speed in 36 seconds and so on..
Now, we will see how to use the above shortcut.
A car travels with a speed of 108kmph. What distance will be covered in 15 sec?
Ans : 450mts
Solution: Write the given parameters in above format
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1080mts --> 108 kmph ---> 36sec
Now we know distance travelled in 36 sec. Find 15sec distance using this.
Ie by Ratio method as i already mentioned in my previous posts Ratio and Proportion
36 --> 1080
15 --> ?? (450)
Average speeds:
When distance is constant ie speeds are given : 2ab/ (a+b)
When distances and times are given : Total distance/ Total time
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Try some problems and Answer them:
1.90kmph in m/s
2.52m/s in kmph
3.A vehicle covers a distance of 600mts in 2 mins. What is Speed in kmph
4.A car runs at 78kmph. What is the distance covered in 1min 12 sec?
5.At what time car travels over a distance of 420mts, if it runs at 90kmph?
6.The ratio between two trains’ speeds is 7:8. If second train runs 400kmph in 5hrs, the speed of first train is?
7.Speeds of A and B are in ration 3:4. A takes 20 mins more than B to reach the destination. Then What is time taken by A and B to reach the destination?
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Question 1: The sum of the ages of husband and wife is 70 years and the ratio of their age is 3 : 2. The age of the wife is:
1. 32 years
2. 25 years
3. 28 years
4. 27 years
5.
Correct Answer: 3.
Question 2: A trader would incur a loss of 15%, if he sells pens at 10.20 per pen. If 12.5% profit is to be earned after allowing 10% discount on the marked price then find the marked price. ?
1. 20
2. 1.5
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3. 150
4. 12
5. 15
Correct Answer: 5.
Question 3: A shopkeeper sells sugar at 4% less than market price, but gives weight 800 grams instead of 1 Kg. What is the profit percentage overall?
1. 5%
2. 10%
3. 20%
4. 25%
5. 12%
Correct Answer: 3.
Question 4: What is the location of the atomic power station?
1. Mumbai
2. Tarapore
3. Kalpakkam
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4. Kaiga
5.
Correct Answer: 2.
Question 5: A shirt was sold at a profit of Rs.50. If a trouser was sold at half the profit percenta9e and the cost price of the trouser is thrice that of the shirt, find the profit made on the trouser (in Rs.)
1. 25
2. 57
3. 75
4. 50
5.
Correct Answer: 3.
Question 6: The average runs scored by a batsman in 20 matches is 40. In the next 10 matches, the batsman scored an average of 13 runs. Find his average in all the 30 matches.
1. 27
2. 26
3. 31
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4. 29
5.
Correct Answer: 3.
Question 7: 729 ml of a mixture contains milk and water in ratio 7 : 2. How much more water is required to be added to get a new mixture containing milk and water in the ratio of 7 : 3?
1. 60 ml
2. 70 ml
3. 81 ml
4. 90 ml
5.
Correct Answer: 3.
Question 8: What is the difference between the simple interest and the compound interest on a sum of 4700 at 20% p.a. for a period of 2 years ?
1. Rs.190
2. Rs.188
3. Rs.196
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4. Rs.199
5.
Correct Answer: 2.
Question 9: If a trader sold two cars each at 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is?
1. 14.48% loss
2. 14.4% loss
3. 14.4% profit
4. 1.44% loss
5.
Correct Answer: 2.
Question 10: A trader wants to sell a watch at 25% profit. If its cost price was Rs.x more, an extra profit of 50.would be made on it. Find x (in Rs.)
1. 100
2. 125
3. 130
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4. 145
5. 200
Correct Answer: 5.
Question 11: In how many years does a sum of Rs.5000 give a simple interest of Rs.16500 at 15°, p.a.?
1. 22
2. 24
3. 25
4. 23
5.
Correct Answer: 1.
Question 12: A certain sum becomes Rs.20720 in 4 years and 24080 in 6 years at simple interest. Find sum and rate of interest.
1. Rs.12000; 12% p.a
2. Rs.14000; 12% p.a
3. Rs.12000; 15% p.a
4. Rs.14000; 15% p.a
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5.
Correct Answer: 2.
Question 13: Francis and George started a business with investments of Rs.7000/- and Rs.10000/-. After x months, Francis left. After two more months David joined the business with an investment of Rs.10000/-. If the annual profit is shared among David, Francis and George in the ratio 10 : 7 : 24, find the respective time periods of David, Francis and George for which they stayed that year.
1. 5:5:12
2. 1:1:3
3. 1:1:4
4. 1:1:2
5.
Correct Answer: 3.
Question 14: 89.447+98.3+67.77=_____________
1. 254.417
2. 250.146
3. 254.369
4. 2549369
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5. 255..517
Correct Answer: 5.
Question 15: The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining is 90. Find the number of students who wrote the exam.
1. 15
2. 20
3. 25
4. 35
5.
Correct Answer: 3.
Question 16: The difference between 38% of number and 24% of the same number is 135.10. what is 40% of that number ?
1. 394
2. 370
3. 378
4. 386
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5. None of these
Correct Answer: 4.
Question 17: 29.299+5.55+68.7=____________________________
1. 104.236
2. 123.569
3. 103.549
4. 124.263
5. 25.25521
Correct Answer: 3.
Question 18: A and B can do a work in 20 and 30 days respectively. They started the work together, but A left after some time and B finished the remaining work in 5 days. Then what is the number of days after which A left?
1. 5
2. 10
3. 12
4. 15
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5. None of these
Correct Answer: 2.
Question 19: Avinash purchases five cycles at the rate of Rs 450 per cycle. He spends Rs 150 on each cycle for repairs. At what price he should sell them to gain a profit of 35%?
1. Rs 600
2. Rs 750
3. Rs 608
4. Rs 810
5.
Correct Answer: 4.
Question 20: A sold an article to B at 10% profit and B sold it to C at 15% profit. If B purchased for Rs.220/-, then find the difference in the purchasing prices for A and C.
1. 35
2. 53
3. 45
4. 78
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5.
Correct Answer: 2.
Question 21: A shopkeeper sold an Air-conditioner for Rs 25,935 with a discount of 9% and earned a profit of 3.74%. What would have been the percentage of profit earned if no discount were offered?
1. 15.6%
2. 16%
3. 12.3%
4. None of the above
5.
Correct Answer: 4.
Question 22: Two equal glasses are respectively 1/4 and 3/4 full of milk. They are then filled up with water and the contents are mixed in a tumbler. The ratio of milk and water in the tumbler is:
1. 3 : 11
2. 7 : 17
3. 9 : 23
4. 11 : 23
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5.
Correct Answer: 2.
Question 23: Pick the odd number from the series - 11, 12, 8, 27, 10.75, 56.5
1. 12
2. 8
3. 27
4. 10.75
5. 56.5
Correct Answer: 5.
Question 24: 9.75 + 25.88 + ? = 41.18
1. 5.55
2. 5.75
3. 6.57
4. 4.23
5.
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Correct Answer: 1.
Question 25: The value of a machinery decreases by 20% p.a. on the value at the beginning of every year. The value of the machinery after 2 years will be Rs.23526,40. What is the present value of the machinery?
1. Rs.36770
2. Rs.36750
3. Rs.36740
4. Rs.36760
5.
Correct Answer: 2.