tcs model questions
TRANSCRIPT
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TCS Model Questions
1. (68-a)(68-b)(68-c)(68-d)(68-e) = 725 ? Find abcd= ?
!ns"e# $ 15 ways
2. 2% &eo&le a#e t'e#e t'e a#e s'a*in+ 'ands to+et'e# ,o" an 'and s'a*es &ossible i
t'e a#e in &ai# o cclic se/uence ?
!ns"e# $ 22
%. ! bus sta#ts at 6$00 &. #o sta#tin+ &oint at d s&eed i 18s. #eac'ed its destination.
aited o# 30 inutes. !nd a+ain #etu#ned bac* at t'e s&eed o 28s. Find t'e tie to
#eac' t'e destination ?
!ns"e# $ 232
3.10 en and 10 "oen a#e t'e#e t'e dance "it' eac' ot'e# is t'e#e &ossibilit t'at 2
en a#e dancin+ "it' sae "oen and 4ice 4e#sa.
!ns"e# $ Never
5.T'e#e a#e die#ent t'in+s li*e &/#stu4. e can ta*e & and / to+et'e#. # and s a#e
ta*en to+et'e# t'en t ust 'as to be ta*en. u and 4 can be ta*en to+et'e#.4 can be ta*en
"it' & o# s. e4e# t'in+ can be ta*en to+et'e# ece&t.
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!ns"e# $ T
6. T'e#e a#e 11 bos in a ail. oun+est c'ild is a bo. #obabilit is 1 t'at o all a#e bosout o?
!ns"e# $ 1024
7. ,o" an &a#allelo+#as a#e o#ed b a set o 3 &a#allel lines inte#sectin+ on ot'e# set
o 7 &a#allel lines ?
!ns"e# $ 126
8. 9eainde# o 2:3737 ?
!ns"e# $ 2
10. n sc'ool t'e#e a#e soe biccles and 3"'eele# "a+ons. ;ne Tuesda t'e#e a#e 58
"'eels in t'e ca&us. ,o" an biccles a#e t'e#e?
!ns"e# $ 7
11. ! "o#*s total in 10 das and < "o#*s total in 15 as. !< o cost is 9s. 5000 t'en
"'at is t'e s'a#e o < ?
!ns"e# $ 2000
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12. >e "o#ds in /uestion (Fibonacci se#ies ininite se#ies in t'e iddle o t'e /uestion
one nube# se#ies is t'e#e. +ot t'e se#ies % 12 7 26 15 b?
!ns"e# $ 54
1%. T'e#e a#e t"o &i&es ! and
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17. ! 'ollo" s&ace on ea#t' su#ace is to be illed. Total cost o illin+ is 9s20000. T'e cost
o illin+ &e# t% is 9s 225 .'o" an ties a si@e o % t% soil is #e/ui#ed to ill t'e 'ollo"
s&ace?
!ns"e# $ 20000/225=88.88
88.88/3=29.62 .So 30 ties o! 3 t3 is re"uire# to !i$$ the s%a&e &o%$ete$y.
18. i4en a collection o &oints in t'e &lane a 1-set is a &oint in t'at can be se&a#ated
#o t'e #est b a line .i.e the %oi't $ies o' o'e si#e o! the $i'e whi$e the others $ie o' the other
si#e.The 'u(er o! 1)sets o! is #e'ote# (y '1+,. The i'iu va$ue o! '1+, over a$$
&o'!i-uratio's o! 5 %oi'ts i' the %$a'e i' -e'era$ %ositio'+.i.e 'o three %oi'ts i' $ie o' a $i'e,
is
!ns"e# $ 5
1A. T'e citi@ens o &lanet ni+iet a#e 8 in+e#ed and 'a4e t'us de4elo&ed t'ei# decialsste in base 8.! ce#tain st#eet in ni+iet contains 1000 (in base 8) buildin+s nube#ed 1 to
1000.,o" an %s a#e used in nube#in+ t'ese buildin+s?
!ns"e# $ 192
20) ,e#e 10 o+#ae#s t&e 10 lines "it' in 10 inutes t'en 60 lines can t&e "it'in 60
inutes. ,o" an o+#ae#s a#e needed?
!ns"e# $10
21. . 1D1E2D2E%D%E................2012D2012E= ?
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!ns"e# $ 2013)1
22. !te# t'e t&ist "#ites 12 lette#s and add#esses 12 en4elo&es s'e inse#ts t'e lette#s
#andol into t'e en4elo&es (1 lette# &e# en4elo&e). 'at is t'e obabilit t'at eactl 1
lette# is inse#ted in an io&e# en4elo&e?
!ns"e# $ 0
2%. i4en % lines in t'e &lane suc' t'at t'e &oints o inte#section o# a t#ian+le "it' sides
o len+t' 20 20 and %0 t'e nube# o &oints e/uidistant #o all t'e % lines is...
!ns"e# $ 0
23. Fo# t'e FF! "o#ld cu& aul t'e octo&us 'as been edictin+ t'e "inne# o eac' atc'
"it' aa@in+ success. t is ruore# that i' a at&h (etwee' 2 teas a'# au$ %i&s with
the sae %ro(a(i$ity as s &ha'&es o! wi''i'-. ets assue su&h ruors to (e true a'# that i' a
at&h (etwee' ha'a a'# o$ivia ha'a the stro'-er tea has a %ro(a(i$ity o! 2/3 o! wi''i'-the -ae. hat is the %ro(a(i$ity that au$ wi$$ &orre&t$y %i& the wi''er o! the ha'a)o$ivia
-ae
!ns"e# $ 5/9
23. %6 &eo&le a1 a2 G a%6H eet and s'a*e 'ands in a ci#cula# as'ion. n ot'e# "o#ds
t'e#e a#e totall %6 'ands'a*es in4ol4in+ t'e &ai#s a1 a2H a2 a%H G a%5 a%6H a%6
a1H. The' si:e o! the sa$$est set o! %eo%$e su&h that the rest have shae' ha'#s with at $east o'e %erso' i' the set is
!ns"e# $ 18
25. ! can do a "o#* in 15 das and < in 20 das. t'e "o#* on it to+et'e# o# 3 das t'en
t'e #action o t'e "o#* t'at is let is$
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!ns"e# $ 8/15
26. ,a#e in t'e ot'e#. T'e 'a#e sta#ts ate# t'e to#toise 'as co4e#ed 15 o its distance and
t'at too leisu#el%. hare a'# a tortoise have a ra&e a$o'- a &ir&$e o! 100 yar#s #iaeter. The
tortoise -oes i' o'e #ire&tio' a'# the. The hare a'# tortoise eet whe' the hare has &overe# o'$y
1/8 o! the #ista'&e. y what !a&tor shou$# the hare i'&rease its s%ee# so as to tie the ra&e
!ns"e# $ 37.80
27. IBJI, is "#itten as SJ9MSK "'at is S,I ?
!ns"e# $ ;S
28. 'at "ill be t'e 55t' "o#d in t'e a##an+eents o t'e lette#s o t'e "o#d K9FKCT ?
!ns"e# $ C;
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!ns"e# $ 37 1/2
%1. n t'e "o#d KC;;MKT9CS i t'e i#st and second t'i#d and o#t' o#t' and it'
it' and sit' "o#ds a#e inte#c'an+ed u& to t'e last lette# "'at "ould be t'e tent' lette##o #i+'t?
!ns"e# $ or# is C;N?@?T;SC te'th wor# is
%2. %02t' o 1st ea# is satu#da. 'at is t'e 15t' da o 5t' ea# ?
!ns"e# $ e#'es#ay
%%. Find t'e #esult o t'e ollo"in+ eession i M denotes odulus o&e#ation 9
denotes #ound-o T denotes t#uncation$ M(%7%5)9(%.3)T(7.7)9(5.8).
!ns"e# $ 19
%3. Find t'e issin+ nube# in t'e se#ies$ 2 5 1A %7 75.
!ns"e# $ 9
%5. ,o" an a##an+eents "ill sta#t and end "it' a 4o"el o# T;KT,K9 ?
!ns"e# $ 1080
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%6. F B: denotes B #aised to t'e &o"e# Find t'e last t"o di+its o (1A31 : %83% )
(1A61 :3181 ).
!ns"e# $ 82
%7. 'en t'e nube# is "#itten in base b "e 'a4e 12D25 =%%%. T'e 4alue o b is ?
!ns"e# $ 7
%8. Find t'e 25t' "o#d i t'e "o#d 9!>K is a##an+ed in dictiona# o#de#G.
!ns"e# $ ;ABN
%A. ! co&letes 80O o a "o#* in 20 das. T'en < also Poins and ! and < to+et'e# inis't'e #eainin+ "o#* in % das. ,o" lon+ does it need o# < i 'e alone co&letes t'e "o#*?
!ns"e# $ Tie 80 @i'utes
30. %02 t' o 1st ea# is Satu#da. 'at is t'e 15t' da o 5t' ea# ?
!ns"e# $ 53 ears
31. 1D1E2D2E%D%EGGGGG.2012D2012E= ??
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!ns"e# $ 3700
32. T'e#e is a tan* and t"o &i&es ! and