IMPORTANT FACTS.doc

8/13/2019 IMPORTANT FACTS.doc

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'. Ratio:

If 6 is thrice as good a wor&3an as 8, then

9atio of wor& done b% 6 and 8 = $ 1.9atio of ti3es ta&en b% 6 and 8 to finish a wor& = 1 $.

. $eci#al Fractions::ractions in which deno3inators are powers of 1+ are &nown as (eci#al fractions .= hundredths = . ; / = / thousandths = .++/,

etc.;1++ 1+++&. Con)ersion of a $eci#al into *+lgar Fraction:

Put 1 in the deno3inator under the deci3al point and anne* with it as 3an%


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Suppose so3e fractions are to be arranged in ascending or descending order of 3agnitude,then convert each one of the given fractions in the deci3al for3, and arrange the3accordingl%.

#et us to arrange the fractions $, - and / in descending order./

ow, $ = +.-, - = +.0 /, / = +.///.../Since, +.0 / +.///... +.-.

So,- / $./

4. Rec+rring $eci#al:

If in a deci3al fraction, a figure or a set of figures is repeated continuousl%, then such anu3ber is called a rec+rring (eci#al .

n a recurring deci3al, if a single figure is repeated, then it is e*pressed b% putting a dot on it.If a set of figures is repeated, it is e*pressed b% putting a bar on the set.

Thus,

1 = +.$$$... = +.$; "" = $.1'"0 /1'"0 /.... =$.1'"0 /.$ /

P+re Rec+rring $eci#al: 6 deci3al fraction, in which all the figures after the deci3al pointare repeated, is called a pure recurring deci3al.

Con)erting a P+re Rec+rring $eci#al into *+lgar Fraction: 2rite the repeated figuresonl% once in the nu3erator and ta&e as 3an% nines in the deno3inator as is the nu3ber ofrepeating figures.

Thus, +. = ; +. $ = $ ; +.+-/ = -/ , etc.

Mi,e( Rec+rring $eci#al: 6 deci3al fraction in which so3e figures do not repeat and so3e

of the3 are repeated, is called a 3i*ed recurring deci3al.

4g. +.1/$$$$$.. = +.1/$.

Con)erting a Mi,e( Rec+rring $eci#al Into *+lgar Fraction: In the nu3erator, ta&e thedifference between the nu3ber for3ed b% all the digits after deci3al point (ta&ing repeateddigits onl% once and that for3ed b% the digits which are not repeated. In the deno3inator,ta&e the nu3ber for3ed b% as 3an% nines as there are repeating digits followed b% as 3an%


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vi. (a $ ! b $ = ( a ! b ( a " ab b "

vii. (a $ b $ c $ ! $ abc = ( a b c ( a " b " c " ! ab ! bc ! ac

viii. 2hen a b c = +, then a $ b $ c $ = $ abc .

Have a look on a set of awesome question and answer.!

Question 1:

You are driving along in your car on a wild, stormy night,

it's raining heavily, when suddenly you pass by a bus stop, and you see three people waiting for a bus:

An old lady who looks as if she is about to die.

An old friend who once saved your life.

The perfect partner you have been dreaming about.

Which one would you choose to offer a ride to, knowing very well that there could only be one passenger

in your car

This is a moral!ethical dilemma that was once actually used as part of a "ob application.

# You could pick up the old lady, because she is going to die, and thus you should save her first$

# or you could take the old friend because he once saved your life, and this would be the perfect chance

to % pay him back.

# &owever, you may never be able to find your perfect mate again.

The candidate who was hired out of ()) applicants* had no trouble coming up with his answer. +uess

what was his answer

&e simply answered:

- would give the car keys to my ld friend and let him take the lady to the hospital.

- would stay behind and wait for the bus with the partner of my dreams.

/ometimes, we gain more if we are able to give up our stubborn thought limitations. 0ever forget to

Think utside the 1o2.

Question 2:

What will you do if - run away with your sister

The candidate who was selected answered - will not get a better match for my sister than you sir

Question 3:

-nterviewer to a student girl candidate* 3 What is one morning you woke up 4 found that you were

pregnant.+irl 3 - will be very e2cited and take an off, to celebrate with my husband.

0ormally an unmarried girl will be shocked to hear this, but she managed it well.

Why - should think it in the wrong way, she said later when asked

Question 4:


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1: The largest copper producing country in the World is

1. Chile". 9ussia$. South 6frica'. China6ns 1.

2: If the radius of a circle is diminished by 10%, then its area is diminished by:

1. 1+)

". 1 )$. "+)'. $-)

6ns ".

3: A boat tra els 20 !ms upstream in " hrs and 1# !ms do$nstream in hrs&'ind the speed of the boat in still

$ater and the speed of the $ater current(

1. 1D" &3ph

". /D1" &3ph$. &3ph'. none of these

6ns ".

: At $hat time after &00 p&m& is the minutes hand of a cloc! e)actly aligned $ith the hour hand(

1. ' "1 ' .". ' "/ ' .$. $ "1 ' .'. ' "1 ''.

6ns 1.

*: A shop !eeper sold a T&+ set for s&1-,. 0 $ith a discount of #% and earned a profit of 1.&"%&What $ould

ha e been the percentage of profit earned if no discount $as offered(


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1. "'.0)". " )$. "-.')'. Cannot be deter3ined. one of these

6ns .

": If /2) y then /") 3y (

1. 1". 1"$. 10'. 1+

6ns ".

-: A cloc! is set right at # a&m& The cloc! gains 10 minutes in 2 hours& What $ill be the true time $hen the

cloc! indicates 1 p&m& on the follo$ing day(

1. '0 3in. past 1"". $0 3in. past 1"$. "0 3in. past 1"'. " 3in. past 1"

6ns 1.

#: What is the missing number in this series( # 2 1 " 11 ( 1 " 1# 12

1. 1-". $. 1'. -

6ns ".

.: inesh tra elled 1200 !m by air $hich formed 24* of his trip& 5ne third of the $hole trip, he tra elled by

car and the rest of the 6ourney he performed by train& What $as the distance tra elled by train(

1. -++E3". /++E3$. 0++E3'. ++E3


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6ns $.

10: A train $hich tra els at a uniform speed due to some mechanical fault after tra eling for an hour goes at

34*th of the original speed and reaches the destination 2 hrs late&If the fault had occurred after tra eling

another *0 miles the train $ould ha e reached 0 min earlier& What is distance bet$een the t$o stations&1. $++". $1+$. $"+'. $+

6ns 1.

11: The a erage bet$een a t$o digit number and the number obtained by interchanging the digits is .& What

is the difference bet$een the t$o digits of the number(

1. 0". "$. '. Cannot be deter3ined

6ns '.

12: 7ipe A can fill in 20 minutes and 7ipe 8 in 30 mins and 7ipe 9 can empty the same in 0 mins&If all of

them $or! together, find the time ta!en to fill the tan!

1. 1/ 1D/ 3ins". "+ 3ins$. 0 3ins'. none of these

6ns 1.

13: A person has coins each of different denomination& What is the number of different sums of money the

person can form /using one or more coins at a time (

1. 1-". 1$. 1"'. 11

6ns ".


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1 : The simple interest on a certain sum of money for 3 years is 22* and the compound interest on the same

sum at the same rate for 2 years is 1*3 then the principal in ested is

1. 1 ++". "" +$. $+++'. 10/

6ns '.

1*: A co$ is tethered in the middle of a field $ith a 1 feet long rope& If the co$ gra es 100 s;& ft& per day,

then appro)imately $hat time $ill be ta!en by the co$ to gra e the $hole field (

1. " da%s". - da%s$. 10 da%s'. "' da%s. one of these

6ns ".

1": 2 hours after a freight train lea es elhi a passenger train lea es the same station tra elling in the same

direction at an a erage speed of 1" !m4hr& After tra elling hrs the passenger train o erta!es the freight

train& The a erage speed of the freight train $as(

1. '+

". $+$. 0+'. -+

6ns 1.

1-: The t$o colors seen at the e)treme ends of the p< chart are:

1. 9ed and 8lue". 9ed and Green

$. Green and 8lue'. Frange and Green

6ns 1.

1#: # 1* 2 3* # "3 =(


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1. /+". 0+$. /'. 00

6ns ".

1.: 5ne of >r& r& r. Horton he is the doctor". >r. Horton s son she is the law%er$. >r. Horton he is the doctor'. >r. Horton s 3other she is the doctor

6ns 1.

20: In the gi en figure, 7A and 78 are tangents to the circle at A and 8 respecti ely and the chord 89 is

parallel to tangent 7A& If A9 " cm, and length of the tangent A7 is . cm, then $hat is the length of the

chord 89(

1. ' c3

". 0 c3$. - c3'. c3

6ns 1.

21: @nion Information and 8roadcasting ministry recently ga e an indication to change $hich of the

follo$ing la$s on a larger scale, as the e)isting pro isions of the Act are inade;uate to cater to the

phenomenal gro$th of the print media in ie$ of the liberali ation of the go ernment policies(

1. Press J 9egistration of 8oo&s 6ct, (P98 6ct 10-/". The ?eliver% Ff 8oo&s K6nd ewspapers (Public #ibraries 6ct, 1 '$. Indian Press (43ergenc% Powers 6ct 1 $1'. none

6ns 1.


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6ns '.

2-: )% of y is y% of (

1. *D%

". "%$. *'. can t be deter3ined

6ns $.

2#: If the alue of ) lies bet$een 0 1 $hich of the follo$ing is the largest(

1. *". *"$. !*'. 1D*

6ns '.

2.: The tutor of Ale)ander the great $as

1. ?arius". C%rus$. Socrates'. 6ristotle

6ns '.

30: Thirty men ta!e 20 days to complete a 6ob $or!ing . hours a day&


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$. 5Ita3in 6'. Iodine

6ns '.

32: Who in ented Dapier?s 8ones

1. Lohn apier". 2illia3 Fughtred$. Charles 8abbage'. apier 8one

6ns 1.

33: The mass number of a nucleus is1. 6lwa%s less than its ato3ic nu3ber". 6lwa%s 3ore than its ato3ic nu3ber$. So3eti3es 3ore than and so3eti3es e@ual to its ato3ic nu3ber'. one of the above

6ns $.

3 : A and 8 can do a piece of $or! in * days and 0 days respecti ely& They began to do the $or! together

but A lea es after some days and then 8 completed the remaining $or! n 23 days& The number of days after

$hich A left the $or! $as

1. ". 11$. 1"'. 1. 1-

6ns 1.

3*: Eam and >ala ha e a con ersation& Eam says I am certainly not o er 0 >ala Eays I am 3# and you are at

least * years older than me F Do$ Eam says you are at least 3. all the statements by the t$o are false& ala = $0 %rs, Sa3 =$1 %rs.". >ala = $0 %rs, Sa3 = '1 %rs$. >ala = $1 %rs, Sa3 = '1 %rs.'. >ala = ' %rs, Sa3 = '1 %rs


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6ns ".

3": What is the code name for Windo$s +ista(

1. #onghorn

". #onghund$. Stac&spra%'. Pearl

6ns 1.

3-: 5n sports day, if 30 children $ere made to stand in a column, 1" columns could be formed& If 2 children

$ere made to stand in a column, ho$ many columns could be formed(

1. "+". $+$. '+'. +

6ns 1.

3#: The probability that a man $ill be ali e for 2* years is 34* and the probability that his $ife $ill be ali e

for 2* years is 243& 'ind the probability that only the man $ill be ali e for 2* years&

1. "D". 1D$. $D'. 'D

6ns ".

3.: In a single thro$ of a dice, $hat is the probability of getting a number greater than (

1. 1D"". "D$$. 1D'

'. 1D$

6ns '.

0: If e ery alternati e letter starting from 8 of the Gnglish alphabet is $ritten in small letter, rest all are

$ritten in capital letters, ho$ the month HEeptember be $ritten& /1 EeptG>bGr /2 EGpTe>8Gr /3

Eeptembe / Eepte>ber /* Done of the abo e


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: A 4 8 9K 9 L then

1. 6 is alwa%s greater than ?". C is alwa%s greater than ?$. 8 is alwa%s less than ?'. none

6ns 1.

*: 9onsider the follo$ing statements: 1& The Administrati e eforms 9ommission /A 9 had recommended

that the epartment of 7ersonnel of a Etate should be put under the charge of the 9hief Eecretary of the

Etate& 2& 9hief Eecretary of a Etate is not in ol ed in any manner in the promotion of Etate 9i il officers to

the All India Eer ices& Which of the statements gi en abo e is4are correct(

1. Fnl% 1". Fnl% "$. 8oth 1 and "'. either 1 nor "

6ns 1.

": The population of a to$n $as 1,"0,000 three years ago& If it increased by 3%, 2&*% and *% respecti ely

in the last three years, then the present population of the to$n is :

1. 1,//,+++". 1,//,$--

$. 1,//,'-1'. 1,//, -

6ns ".

-: What is the population of India (

1. 0 crores". >ore than " billion$. >ore than 1 billion

'. #ess than - crores. - crores

6ns $.

#: Eome green are blue& Do blue are $hite&


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1. So3e green are white". o white are green$. o green are white'. one of the above

6ns 1.

.: What is the missing number in this series( # 2 1 " 11 ( 1 " 1# 12

1. 0". -$. '. 11

6ns $.

*0: A erage age of students of an adult school is 0 years& 120 ne$ students $hose a erage age is 32 years

6oined the school& As a result the a erage age is decreased by years& 'ind the number of students of the

school after 6oining of the ne$ students:

1. 1"++". 1"+$. $-+'. "'+

6ns '.

*1: 5n sports day,if 30 children $ere made to stand in a column,1" columns could be formed& If 2 children

$ere made to stand in a column , ho$ many columns could be formed(

1. '0". "+$. $+'. 1-. '+

6ns ".

*2: Which of the follo$ing numbers is di isible by 3( /i * 132" /ii *."-013

1. (ii onl%". (i onl%


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$. (i and (ii both'. (i and (ii none

6ns ".

*3: A s;uare is di ided into . identical smaller s;uares& Ei) identical balls are to be placed in these smaller

s;uares such that each of the three ro$s gets at least one ball /one ball in one s;uare only & In ho$ many

different $ays can this be done(

1. 01". 1$. '1'. 1

6ns 1.

* : A man o$ns 243 of the mar!et research beauro business and sells 34 of his shares for s&-*000& What is

the alue of 8usiness

1. 1 ++++". 1$+++$. "'++++'. $'+++

6ns 1.

**: 1,2,",2 ,=(

1. 111". 1 1$. 1"+'. 1"

6ns $.

*": The cost of 1" pac!ets of salt,each $eighing .00 grams is s&2#&What $ill be the cost of 2- pac!ets ,if each

pac!et $eighs 1Mg(

1. 9s. ". +". 9s. -$. 9s. 0. +'. 9s.-'./


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6ns 1.

*-: onald and >ichelle ha e t$o children& The probability that the first child is a girl, is *0%& The

probability that the second child is a girl, is also *0%& onald and >ichelle tell you that they ha e a

daughter& What is the probability that their other child is also a girl(1. 1D"". 1D$$. 1D''. 1D

6ns ".

*#: 'ind the alue of /214 1 / 234 N2142N214 N1

1. 1". "$. $

6ns 1.

*.: The product of t$o fractions is 1 41* and their ;uotient is 3*42 & the greater fraction is

1. 'D". /D-$. /D'. /D'

6ns 1.

"0: *00 men are arranged in an array of 10 ro$s and *0 columns according to their heights& Tallest among

each ro$ of all are as!ed to fall out& And the shortest among them is A& Eimilarly after resuming that to their

original podsitions that the shortest among each column are as!ed to fall out& And the tallest among them is 8

& Do$ $ho is taller among A and 8 (

1. 6

". 8$. 8oth are of sa3e height

6ns 1.

"1: 9hoose the pair of numbers $hich comes ne)t -* "* #* ** * #* 3*


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1. " 1". " 0$. $ "'. $ 0. " /

6ns ".

"2: A three digit number consists of .,* and one more number& When these digits are re ersed and then

subtracted from the original number the ans$er yielded $ill be consisting of the same digits arranged yet in a

different order& What is the other digit(

1. 1". "$. $'. '

6ns '.

"3: AT7 stands for:

1. 6denine triphosphate". 6denosine triphosphate$. 6denosine ?iphosphate'. 6denosine tetraphosphate

6ns ".

" : +eselin Tapole $ho became the World 9hampion recently, is associated $ith $hich of the follo$ing

games4sports (

1. Chess". Golf $. Snoo&er'. 8ad3inton

. one of these

6ns 1.

"*: A piece of cloth cost s 3*& if the length of the piece $ould ha e been m longer and each meter cost e 1

less , the cost $ould ha e remained unchanged& ho$ long is the piece(


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$. &3ph'. 1+. &3ph

6ns 1.

-.: 'ind $hat is the ne)t letter& 7lease try to find& 5,T,T,',',E,E,G,D,= What is that letter(

1. 8". S$. O'. T. F

6ns '.

#0: There are 3 societies A, 8, 9& A lent cars to 8 and 9 as many as they had Already& After some time 8 ga e

as many tractors to A and 9 as many as they ha e& After sometime c did the same thing& At the end of this

transaction each one of them had 2 & 'ind the cars each originally had&

1. 6 had "1 cars, 8 had $ cars J C had 1" cars". 6 had $ cars, 8 had $ cars J C had 1" cars$. 6 had $ cars, 8 had "1 cars J C had 1 cars'. 6 had $ cars, 8 had "1 cars J C had 1" cars

6ns '.

#1: A papaya tree $as planted 2 years ago& It increases at the rate of 20% e ery year& If at present, the height

of the tree is * 0 cm, $hat $as it $hen the tree $as planted(

1. '$" c3". $"' c3$. $/ c3'. '++ c3

6ns $.

#2: A boy has s 2&


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1. "1". ""$$. "1'. "1/

6ns $.

#-: A man sells t$o buffaloes for s& -,#20 each& 5n one he gains 1*% and on the other, he loses 1*%& ango

6ns $.

.0: 9omplete the series: *, 20, 2 , ", 2, #, (

1. 1"". $"


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.*: A sum of s& 2- is to be di ided among A, 8 and 9 in such a $ay that 3 times A?s share, times 8?s

share and - times 9?s share are all e;ual& The share of 9 is

1. 9s.0'". 9s./-$. 9s. 0'. 9S.$'

6ns 1.

.": There are 20 poles $ith a constant distance bet$een each pole& A car ta!es 2 second to reach the 12th

pole&


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1. >echanic". Chauffeur$. Steering'. 8ra&e

6ns ".

100: Which of the follo$ing numbers should be added to 111*# to ma!e it e)actly di isible by --(

1. ". 0$. /'.

6ns $.

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IMPORTANT FACTS.doc