users10&name=6 august quantitative aptitude

7/23/2019 users10&name=6 august Quantitative aptitude

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www.afterschoool.tk AFTERSCHOOOL MATERIAL FO

R PGPSE PARTICIPANTS

Quantitative aptitude

AFTERSCHOOOL – DEVELOPING CHANGEMAKERS

CENTRE FOR SOCIAL ENTREPRENEURSHIP

PGPSE PROGRAMME –

World’ Most Compr!"s#$ pro%r&mm #" so'#&l"trpr"(rs!#p ) sp#r#t(&l "trpr"(rs!#p

OPEN FOR ALL FREE FOR ALL



www.afterschoool.tk AFTERSCHOOOL MATERIAL FO

R PGPSE PARTICIPANTS

Quantitative aptitude Dr. T.K. Jain.

AFTERSCHOOOL

Centre for social entrepreneurship

Bikaner

! "#$##%&'(%

tk)ain*kn+,ahoo.co.in

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***+&,trs'!oool+t AFTERSCHOOOL MATERI

PROBABILITY THAT A & B (BOTH)WILL HAPPEN IS 1/6 PROBABILITY

THAT NEITHER WILL HAPPEN IS 1/!

WHAT "AY BE THE PROBABILITY O#HAPPENIN$ O# A%

P .&/ 0 P .1/ 2 345 .* !&$ to m(lt#pl67 #,

* *&"t 1ot! t! t!#"%s to !&pp"/+P.38A/ 0 P .389/ 2 34:+Lt (s t&- t! $&l( o, A &s ;7 * %t

;034: 2 3457 * &r &lso &1l to %t ;0<4: 234:+

A"s*r P.A/ m&6 1 #t!r ; or 34:&"s*r+




Supp'e I t'' a in ti*e'+ ,-at

i' t-e p.ai0it t-at I '-a00 2et 3 .

*.e n'eutive -ead'%Lt (s &ss(m t!&t I %t &ll = !&ds+T! pro1&1#l#t6 #s .;/>= 2 343<?

Lt (s &ss(m t!&t I %t 5 'o"s'(t#$!&ds+

W !&$ .34</>5034<+ 1(t T&#l m&6 1 #"

t! 1%#""#"% or #" t! "d+ So I !&$ <s('! poss#1#l#t#s7 t!(s I !&$ <43<?pro1&1#l#t6+




An',e. ntinued Let us take the case -hen ha/e 0 continuous hea1s.

The pro*a*ilit, is as un1er ! 2 3$45 3$45 3$45 3$45 6for0 hea1s7 3$45 for tail. 8e ha/e to also 9ultipl,pro*a*ilit, of conti:uous tail -ith this .

8e :et $4(#;$4(#;$4$5< as the ans-er. Let us take the case= -hen ha/e # consecuti/e

hea1s. :et $4%5;$4%5;$4(#;$4(# as ans-er. F>AL A>S8ER!

>o- let us a11 all these 6#=0=(=' 7pro*a*ilities. ? 04%5 ans-er.




I4 t-e 0ette.' 4 t-e ,.d

RE$5LATIONS a.e a..an2ed

.and*0+ ,-at i' t-e p.ai0it

t-at t-e.e a.e eat0 3 0ette.'

et,een R & E%

@ ? per9utation. 8hen or1er is i9portant=

-e use @er9utation 6for ea9ple! -here $5an1 5$ is 1ifferent7

There are $$ letters in re:ulations= out of

-hich ha/e to select onl, 5 R E.

Thus $$ @ 5 =? $$ 4 6$$57 Or $$ 4 "

:et $$3$& ? $$& 9etho1s of puttin: R E.

ha/e to put R E at a 1istance of # places.


http://slidepdf.com/reader/full/users10name6-august-quantitative-aptitude 7/22***+&,trs'!oool+t AFTERSCHOOOL MATERI

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I '&" p(t R &s t! &"d E &t Bt! po#"t

I '&" p(t R &s t! &"d E &t 3t! po#"t

I '&" p(t R &s 5t! &"d E &t 33t! po#"ts+



An',e. ntine'T!r &r 5 s('! poss#1#l#t#s+

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2 54 &"s*r+



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B.an-e'

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7a'e Studie'

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to 1 #" to('! *#t! "trpr"(rs7 so t!&t

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