APTITUDE – 1(CTS) SPECIAL PLACEMENT TRAINING
1. What is the value of 15C13? A. 30 B. 15 C. 210
D. 105
2. Find Find the value of 5-2 X 10-4 / 2-5 X 5-. !A" 2 !B" 0 !C" 5 !D" 10 3. #f a nu$%e& is divisi%le %' 3( then it is also divisi%le %') %') A. * B. 11 C. 13 D. 1* 4. A dete&+ent ,ode& o$,an' is havin+ a ontest. ah ,a of 1+ ontains one of the th e lette&s B( A( and . #n eve&' 20 ,as the&e th e&e a&e fou& Bs( ve As( ten s and one . What is the ,&o%a%ilit' that a ,a ill have a B? A. 1/4 B. 1/2 C. 1/5 D. 1/20 5. Whih nu$%e& should %e su%t&ated f&o$ *605 so that it an %e divisi%le %' ? A. 1 B. 2 C.3 D. 4 . What is the least nu$%e& hih should %e added to 1330 to $ae it a ,e&fet s7ua&e? A. 5 B. 1 C. 41 D. 30 . 36 *. 8i$,lif') 8i$,lif') !4/5" !1/20" !10/6" A. 1/60 B. 60/1 C. 0/61
D. 9one of these
. #f :;1<21/2( and ';1-21/2( then :2<'2is) A. 2 B. 3 C. D. 0 6. :,&ess the f&ation 2/1* as a nu$%e& u,to 3 dei$al ,oints. A. 1.426 B. 1.535 C. 1.321 D. 1.526 10. #n a she$e( a ,a of th&ee soa,s ith => =s.45 is availa%le fo& =s.42. #f it still +ives a ,&ot of 5 to the sho,ee,e&( then the ost ,&ie of the ,a is) A. =s.40 B. =s.3* C. =s.41 D. =s.35 11. An ai& ontaine& an ool the hall in 40 $inutes hile anothe& taes 45 $inutes to ool unde& si$ila& onditions. #f %oth ai& onditione&s a&e sithed on at sa$e instane( then ho lon+ ill it tae to ool the &oo$? A.A%out 22 $inutes B. A%out 20 $inutes C.A%out 30 $inutes D. A%out 25 $inutes 1
12. A $an sells 12 andies fo& =s.12 @ loses =s.2.40. #f he sells 12 andies fo& =s.1( ho $uh does he +ain o& lose? A. ains =s.4 B. oses =s. C. ains =s..40 D. oses =s.1.0 . ains =s.1.0 13. 8ho%hit %ou+ht 300 lit&es of $il at =s.16 ,e& lit&e. e added 200 lite&s of ate& to it and sold 400 lit&es of a $il at =s.20 ,e& lit&e. o o the &est( he he added 10 lit&es $o&e ate& and then sold it fo& =s. 15 ,e& lit&e( if he used $ine&al ate& that osts =s.10 ,e& lit&e( then the total $one' ea&ned %' sho%hit is) A. =s.4000 B. =s.4150 C. =s.100 D. =s.150 14. A a& is 250 $et&es %ehind the %us. he a& and %us a&e $ovin+ ith the s,eed of 0 $,h and 35 $,h &es,etivel'. &es,etivel'. he a& ill %e ahead of %us %' 250 $et&es in) A. 3* seonds B. 4 seonds C. *2 seonds D. seonds 15. he ,&ie of su+a& in&eases %' 30( then %' hat should its onsu$,tion %e de&eased so that the total e:,enditu&e &e$ains sa$e. A. *.62 B. 23.0* C. 30 D. 42.5 1. 46 ,u$,s an e$,t' a &ese&voi& in E da's( o&in+ hou&s a da'. da'. #f 16 ,u$,s a&e used fo& 5 hou&s a da'( then the sa$e o& ill %e o$,leted in ho $an' da's? A. 2. da's B. 3 da's C. 2.5 da's D. 2 da's 1*. 8i$,lif') !144-3/2"-1/ A.23 B.
C.32
1. W&ite 52/* as a $i:ed f&ation. A. *5 2/* B. *5 3/* C. *4 3/*
D. 4 D. *0 2/*
16. What is unit ,lae of the folloin+ su$) 1 1<22<33<44<55< A. 0 B. 4 C. * D. 6 20. 4 $en an &e,ai& a &oad in * hou&s. o $an' $en a&e &e7ui&ed &e7ui&ed to &e,ai& the &oad in 2 hou&s? A.* B. 14 C. 1* D. 10 21. Find Find the la&+est to di+it nu$%e& that divides *3 and 5( leavin+ &e$ainde& 1 in eah ase. A. 61 B. 63 C. 6 D. 6 22. When A.0
is divided %' 5( the &e$ainde& is? B. 1
C. 2 2
D.3
23. Atul %ou+ht a $ahine fo& =s.4(50(000 and sold it to #&fan at a ,&ot. #&fan late& sold the $ahine to Danish at a loss of 10 fo& =s.4(65(000. he ,&ot ea&ned %' Atul is? A. 23 B. 21 C. 25 D.22.22 24. o $an' 4 di+it nu$%e& an %e $ade usin+ the di+its 1( 2( 3( 4 (5( ( * if &e,etition of di+its is not alloed? A. 24 B. 120 C. 40 D. 5040 25. he ,&odut ,&odut of to nu$%e&s 220. #f C of the to nu$%e&s 552( then hat is CF of the to nu$%e&s. A. 12 B. 4 C.24 D. Data insuGient 2. he C of to nu$%e&s 251 and CF of s7ua&e &oot is 2. hen the ,&odut of to nu$%e&s is. A. 5032 B. 1004 C.*54 D.11322 2*. he &ei,&oal of CF and C of to nu$%e&s a&e 1/12 @ 1/312 &es,etivel'. &es,etivel'. #f one of the nu$%e&s is 24( nd the othe& one. A. 15 B. 4 C. 11* D. 234 2. #n an eletion( the innin+ andidate on %' 15 votes. #f a total 5000 votes e&e ost of hih is he&e eli+i%le( then ho $an' votes the innin+ andidate +ot? A. 2000 B. 100 C. 4000 D. 4300 . 2300 26. What is the value of !10101"%ase2 in dei$al nu$%e&. nu$%e&. A.20 B.21 C.42 D.1 30. What is the ,&ie of a ,ai& of sandals is de&eased %' 10( the nu$%e& of ,ai& sold in&eased %' 20. What is net n et eHet on sells? A. . de& de&ea ease sess B.10 B.10 de de&&ease easess C.10 C.10 in& in&ea ease sess D. in in&&ease easess 31. 2I:<';2J!2"I1/2 and 2I:-'; 2I1/2 ( the value of : is A.1 B. 2 C.3 D.4 32. What is the la&+est and s$allest nu$%e& divisi%le %' (15(21 and 24. A.6235(420 B.660(40 C.6240(40 D. D .6666(666 33. #n ho $an' a's an a ,anel of 5 students to %e seleted f&o$ ids. #f a ,a&tiula& student is inluded? A. 35 WAK8 B.3L WAK8 C.*L WAK8 D.210 WAK 34. o $an' 5 di+it odd inte+e&s an %e $ade usin+ the di+its 12345. A. 24 B. 120 C. 6 D. 30 3
35. A&&an+e 2/15( 1/26( */1( 10(* in asendin+ o&de&. o&de&. A. 2/15( 1/26( */1( 10/* B. 1/26( */1( 10/*(2/15 C. 10/*(2/15( */1( 1/26 D. 2/15( 1/26( 10/*( */1 3. Find X) !2/*"- !*/2"-2; !2/*"2: A. 3 B. -3 C. -
D. 2
3*. #f *65432315X divisi%le %' . Find Find X? !A" 1 !B" 2 !C" 4 !D" 0 3. he ,&ot of =s.3000 is divided a$on+ 3 ,e&sons A( B(C suh that tha t A)B;5)4 and B)C;)6. Find the ,&ot of C. !A" 6000 !B" 10000 !C" 12000 !D" 24000 36. he ,e&$utation and o$%ination of ABCD taen 3 at a ti$e. !A" 12(2 !B" 24(4 !C" 2( !D" 4( 40. -3.4 is a nu$%e& on a nu$%e& line( if 1 su%t&ated then ne nu$%e& is !A" nu$%e& nu$%e& los lose& e& to to 0 !B" nu$%e& nu$%e& fa&the& fa&the& f&o$ f&o$ 0 !C" anno annott %e dete&$ined !D" none of these 41. 22n-1;1/n-3( then nd n !A" E !B" */4
!C " 2
!D" 3
42. A( B( C an o$,lete a o& in 10( 12( 15 da's &es,etivel'. &es,etivel'. Whih 2 of the$ $ust %e seleted to o$,lete the tas in da's. !A" AB !B" BC !C" CA !D" none of these 43. a2-%2/!a-%"2;2( a;4( %;? !A" 2/3 !B" 3/2 !C" 3/4
!D" 4/3
44. % is the 8# on a @ is the 8# on %( the ,e&iod n and the &ate ,e&ent ,e&ent & a&e sa$e. hen nd the &elations . !A" a2;% !B" 2-;a% !C" %2;a !D" a;%; 45. #f A is the ,&ini,al and the &ate ,e&ent ,e&ent ,e& annu$ is A invested fo& A $onths. Find the a$ount? !A" A!1
!A" 22/* these
!B" 13/43
!C" %oth a&e e7ual
!D" none of
4. #f the len+th is 4 ti$es the %&eadth and the a&ea a &ea of the &etan+le is 2500 s7ua&e units. Find the len+th. !A" 25 !B" 50 !C"*5 !D"100 46. W&ite 4.33 in ,/7 fo&$ !A" 1/3 !B" 4/3 !C"13/3 !D" 14/3 50. Find Find the la&+est ,oe& of 20 in 100 L !A" 1 !B" 2 !C" 24 !D" 5 51. What is the ,&o%a%ilit' of to a&ds to %e seleted f&o$ a ,a of 52 a&ds in hih one should %e hea&t and othe& should %e s,ade. !A" 1/1 !B" 1/2 !C" 1/4 !D" 13/102 52. A vendo& ,u&hases 12 ,ens fo& =s.0. o $an' ,ens he should sell fo& =s.0 to +ain 20 !A" 12 !B" 15 !C" 10 !D" none of these 53. #n a ,oult&' 50 hens +ives 200 e++s in to da's. #n ho $an' da's 20 hens an +ive 400 e++s. !A" 15 !B" 10 !C" 5 !D" 54. What nu$%e& $ust %e $ulti,lied %' 43 so that it ill have 3 ,&i$e fato&s? !A" 2 !B" 3 !C " !D" 55. W&ite 25 in %ase s'ste$ !A" 111 !B" 110
!C" 113
!D" 112
5. Find Find the total o$%inations of seletin+ 3 %alloons f&o$ a %a+ of 25 %alloons. !A" 2100 !B" 2200 !C" 2300 !D" 2400 5*. B' sellin+ 10 ,a,a'as the ost ,&ie of ,a,a'as e&e &ealiMed. What is the ,&ot o& loss ,e&ent. !A" 20 !B" 25 !C" 1. !D" 33.33 5. What is the ,&o%a%ilit' of a da' sta&ts ith in a non-lea, 'ea&? !A" 1/* !B" 2/* !C" 1/2 !D" 2/5 56. What is the ,&o%a%ilit' of +ettin+ 4 di+it even nu$%e&s usin+ 1( 2( 3( 4 ithout an' &e,etition of the di+its? !A" 1/4 !B" 1/ !C" 1/2 !D" 3/ 5
0. What is the ,&o%a%ilit' of +ettin+ 4 di+it odd nu$%e&s usin+ 1( 2( 3( 4 ithout an' &e,etition of the di+its? !A" 1/4 !B" 1/ !C" 1/2 !D" 3/ 1. A( B and C a&e th&ee t',ists( ho o&in+ si$ultaneousl' an t',e 21 ,a+es in fou& hou&s. #n one hou&( C an t',e as $an' ,a+es $o&e than B as B an t',e $o&e than A. Du&in+ a ,e&iod of ve hou&s( C an t',e as $an' ,a+es as A an du&in+ seven hou&s. o $an' ,a+es does eah of the$ t',e ,e& hou& &es,etivel'? &es,etivel'? A. 14(1*(20 B. 1(1(22 C. 15(1*(22 D. 15(1(21 2. A student as ased to divide a nu$%e& %' and add 12 to the t he 7uotient. e( hoeve& &st added 12 to the nu$%e& and then divided it %' ( +ettin+ 112 as the anse&. anse&. he o&&et o&&et anse& should sh ould have %een) A. 122 B. 11 C. 114 D. 124 3. #n a e&tain +a$e( eah ,la'e& so&es eithe& 2 ,oints o& 5 ,oints. #f n ,la'e&s so&e 2 ,oints and $ ,la'e&s so&e 5 ,oints and the total nu$%e& of ,oints so&ed is 50( hat is the least ,ossi%le ,ositive diHe&ene %eteen n and $? A. 5 B. 3 C. 1 D. 2 4. #f e &ite don all a ll the natu&al nu$%e&s f&o$ 256 to 462 side %' side +et a ve&' la&+e natu&al nu$%e& nu $%e& 2562021....461462. o $an' Ns ill %e used to &ite this la&+e natu&al nu$%e&? A. 32 B. 43 C. 52 D. 53 5. What is the last di+it of the nu$%e& 35*6< 1? A. 1 B. 4 C. * D. 3 . When a ,a&tiula& ,ositive nu$%e& is divided %' 5( the &e$ainde& is 2. #f the sa$e nu$%e& is divided %' ( the &e$ainde& is 1. #f the diHe&ene %eteen the 7uotients of division is 3( then nd the nu$%e&. nu$%e&. A. 3* B. 6* C. * D. * *. he &e$ainde& hen *4 is divided %' 342 is A. 0 B. 1 C. 46 D. 341 . he C of to nu$%e& is 400 and thei& CF is 10. #f one nu$%e& is 40( then the seond nu$%e& is A.1200 B.1500 C.100 D.100 6. o o students a,,ea&ed a ,,ea&ed at an e:a$ination. ne of the$ seu&ed 6 $a&s $o&e than the othe& and his $a&s as 5 of the su$ of thei& $a&s. he $a&s o%tained %' the$ a&e) A. 36( 30 B. 41( 32 C. 42( 33 D. 43( 34
*0. he ,&ie of an ite$ han+ed f&o$ =s. 120 to =s. 100. hen late& the ,&ie de&eased a+ain f&o$ =s. 100 to =s. 0. Whih an %e said a%out the to de&eases in ,e&enta+e te&$? A. 1s 1st de&ease is la&+e& B. 2nd de&ease is la&+e& C. %oth a&e e7ual D. nothin+ an %e said *1. #n an eletion %eteen to andidates( one +ot 55 of the total valid votes( 20 of the votes e&e invalid. #f the total nu$%e& of votes as *500( the nu$%e& of valid votes that the othe& andidate +ot( as) A. 2*00 B. 2600 C. 3000 D. 3100 *2. A olle+e has 10 %aset%all ,la'e&s. A 5-$e$%e& tea$ and a a,tain ill %e seleted out of these 10 ,la'e&s. o $an' diHe&ent seletions an %e $ade? A. 120 B. 210 C. 10COL D. 10C5O *3. #n ho $an' a's an a lea, 'ea& have 53 8unda's? A. 35C* B. * C. 4 D. 2 *4. #n ho $an' a's an +&een to's and &ed to's %e a&&an+ed( suh that 2 ,a&tiula& &ed to's a&e neve& to+ethe& he&eas 2 ,a&tiula& +&een to's a&e ala's to+ethe&? A. 11L O 2L B. 6L O 60 C. 4 O 10L D. 1 O 10L *5. o $an' nu$%e&s a&e a &e the&e %eteen 100 and 1000 suh that at least one of thei& di+its is ? A. 200 B. 225 C. 252 D. 120 *. 20 of the students in a lass failed in an e:a$ination. ut of the students ho failed( *5 e&e $ales. ale students ho failed onstitute 60 of the eono$iall' ,oo& students in the lass. What is the &atio of the nu$%e& of eono$iall' ,oo& students to the nu$%e& of students in the lass? A. 1)4 B. 1)5 C. 5) D. 1) **. A( B and C ente& into a ,a&tne&shi, %' investin+ =s.300( =s.4400 and =s.200. A is a o&in+ ,a&tne& and +ets a fou&th of the ,&ot fo& his se&vies and the &e$ainin+ ,&ot is divided a$on+st the th&ee in the &ate of thei& invest$ents. What is the a$ount of ,&ot that B +ets if A +ets a total of =s. 000? A. 4. B. 6333.33 C. 4000 D. 3. *. A noodles $e&hant %u's to va&ieties of noodles the ,&ie of the &st %ein+ tie that of the seond. e sells the $i:tu&e at =s 1*.50 ,e& *
ilo+&a$ the&e%' $ain+ a ,&ot of 25. #f the &atio of the a$ounts of the &st noodles and the seond noodles in the $i:tu&e is 2)3( then the &es,etive osts of eah noodles a&e a &e A. =s 20( =s 10 B. =s 24( =s 12 C. =s 1( =s D. =s 2( =s 13 *6. 8ahin an ove& a distane in 1h& 24$in %' ove&in+ 2/3 of the distane at 4 $,h and the &est at 5$,h.the total distane is? A. 5 $ B. $ C. * $ D. $ 0. X and K sta&t alin+ toa&ds eah othe& at 10a$ at s,eeds of 3$/h& and 4$/h& &es,etivel'. &es,etivel'. he' e&e initiall' 1*.5 $ a,a&t. At hat ti$e do the' $eet? A. 2)30 ,$ B. 11 )30 ,$ C. 1)30 ,$ D. 12 )30 ,$ 1. A %oat ove&s a distane of 30$ donst&ea$ in 2 hou& hile it taes hou& to ove& the sa$e distane u,st&ea$. What is the s,eed of the %oat in $/h& A. 5 B. *.5 C. 10 D. 12 2. A o& is done %' th&ee ,e&son A(B and C. A alone a lone taes 10 hou&s to o$,lete a sin+le ,&odut %ut B and C o&in+ to+ethe& taes 4 hou&s( fo& the o$,letion of the sa$e ,&odut. #f all of the$ o&ed to+ethe& and o$,leted 14 ,&oduts( then ho $an' hou&s have the' o&ed? A. 20 h&s B. 2 h&s C. 40 h&s D. 54 h&s 3. A an o$,lete a ,&oPet in 20 da's and B an o$,lete the th e sa$e ,&oPet in 30 da's. #f A and B sta&t o&in+ on the ,&oPet to+ethe& and A 7uits 10 da's %efo&e the ,&oPet is o$,leted( in ho $an' da's ill the ,&oPet %e o$,leted? A. 1 B. 2* C. 2.* D. 1 4. A and B to+ethe& an o$,lete a ,iee of o& in 35 da's hile A alone an o$,lete the sa$e o& in 0 da's. B alone ill %e a%le to o$,lete the sa$e o&in+ in) A. *4 *4 Da's a's B. 0 0 Da's C. 4 Da's D. 60 60 Da's a's 5. o o ,i,es an ll the iste&n in 10h& and an d 12 h& &es,etivel'( hile the thi&d e$,t' it in 20h&. 20h&. #f all ,i,es a&e o,ened si$ultaneousl'( then the iste&n ill %e lled in A. *.5 h& B. h& C. .5 h& D. 10 h& . o $an' ilo+&a$s of su+a& ostin+ =s. 6 ,e& + $ust %e $i:ed ith 2*+ of su+a& ostin+ =s.* ,e& + so that the&e $a' %e +ain of 10 %' sellin+ the $i:tu&e at =s.6.24 ,e& +? A. 0 + B. 3 + C. 50 + D. ** +
*. A $il vendo& has 2 ans of $il .he &st ontains 25 ate& and the &est $il. he seond ontains 50 ate&. ate&. o $uh $il should he $i: f&o$ eah of the ontaine& so as to +et 12 lit&es of $il suh that the &atio of ate& to $il is 3)5? A. lit&es B. 1 lit&es C. lit&es D. * lit&es . he ave&a+e a+e of a fa$il' of 5 $e$%e&s is 20 'ea&s. #f the a+e of the 'oun+est $e$%e& %e 10 'ea&s then hat as the ave&a+e a+e of the fa$il' at the ti$e of the %i&th of the 'oun+est $e$%e&? A. 13.5 B. 14 C. 15 D. 12.5 6.#n a set of th&ee nu$%e&s( the ave&a+e of &st to nu$%e&s is 2( the ave&a+e of the last to nu$%e&s is 3( and the ave&a+e of the &st and the last nu$%e&s is 4. What Wha t is the ave&a+e of th&ee nu$%e&s? A. 2 B. 2.5 C. 3 D. 3.5 60. # fo&+ot the last di+it of a *-di+it tele,hone nu$%e&. nu$%e&. #f 1 &ando$l' &an do$l' dial the nal 3 di+its afte& o&&etl' diallin+ the &st fou&( then hat is the hane of diallin+ the o&&et o&&et nu$%e&? A. 1/1001 B. 1/1000 C. 1/666 D. 1/660 61. he ,&o%a%ilit' that a a&& a &&o o &ed f&o$ a ,oint ill hit the ta&+et is 1/4. h&ee suh a&&os a&&os a&e &ed si$ultaneousl' toa&ds toa&ds the ta&+et f&o$ that ve&' ,oint. What is the ,&o%a%ilit' that the ta&+et ill %e hit? A. 16/4 B. 23/4 C. 23/* D. 3*/4
62. 8tate$ent) A t&ain de&ailed nea& a station hile $ovin+ ove& a %&id+e and fell into a &ive&( &esultin+ in the death of 5 ,eo,le. Cou&ses of Ation) #. he =aila' Autho&ities should la&if' the &eason of the aident to the ove&n$ent. ##. he ove&n$ent should alloate funds to o$,ensate the dest&ution aused. ###. he ,&otetion alls of the %&id+e should %e $ade st&on+ enou+h to avoid suh aidents. A.nl' # and ## follo C.nl' ### follos .9one of these
B.nl' ## and ### follo D.All follo
63. 8tate$ent) he vehiula& t&aG has in&eased so $uh in the &eent ,ast that it taes at least to hou&s to t&avel %eteen the it' and the ai&,o&t du&in+ ,ea hou&s. 6
Cou&ses of Ation) #. 9on-ai&,o&t %ound vehiles should not %e alloed alloed to ,l' on the &oad &oad onnetin+ the it' and the ai&,o&t. ##. he load of vehiula& t&aG should %e dive&ted th&ou+h va&ious lin &oads du&in+ ,ea hou&s. ###. he de,a&tu&e and a&&ival of Qi+hts should sh ould %e &e+ulated so as to .avoid on+estion du&in+ ,ea hou&s. A.nl' # follos C.nl' # and ## follo .9one of these
B.nl' ## follos D.All follo
64. oo at this se&ies) 53( 53( 40( 40( 2*( 2*( ... What nu$%e& should o$e ne:t? A. 12 B. 14 C. 2* D. 53 65. oo at this se&ies) 1.5( 2.3( 3.1( 3.6( ... What nu$%e& should o$e ne:t? A. 4.2 B. 4.4 C. 4.* D. 5.1 6. oo at this se&ies) 14( 2( 20( 40( 32( 4( ... What nu$%e& should o$e ne:t? A. 52 B. 5 C. 6 D. 12 6*. oo at this se&ies) 201( 202( 204( 20*( ... What nu$%e& should o$e ne:t? A. 205 B. 20 C. 210 D. 211 6. oo at this se&ies) ( ( 6( 23( * ( ... What nu$%e& should o$e ne:t? A. 12 B. 22 C. 324 D. 426 66. oo at this se&ies) 544( 506( 4*4( 436( ... What nu$%e& should o$e ne:t? A. 404 B. 414 C. 420 D. 445 100. oo at this se&ies) F2( RR( D( C1( B32( ... What nu$%e& should ll the %lan? A. A1 B. 4 C. 4 D. 3
10
