ADDITIONAL PROBLEMS FOR PRACTICE (1) A circle has 41 poins arran!e" in a cloc#$ise %anner n&%'ere" ro% o 4* as sho$n in he +!&re 'elo$, A '&! %o-es cloc#$ise aro&n" he circle accor"in! o he ollo$in! r&le, I i is a a poin i on he circle* i %o-es cloc#$ise in 1 secon" '. (1 / r) places* $here r is he re%ain"er (possi'l. ) $hen i is "i-i"e" '. 10, Th&s* i i is a posiion * i %o-es cloc#$ise in one secon" '. (1 / ) places o poin 11, Si%ilarl.* i i is a posiion 4 i %o-es (1 / 2) or 0 places o poin 2 in one secon", I i sars a poin 1* a $ha poin $ill i 'e aer 313 secon"s
A, B, C, D,
1 51 35
(3) The leers in he $or" RAINED are per%&e" in all possi'le $a.s an" arran!e" in he alpha'eical or"er, Fin" he $or" a posiion 36 in he per%&e" alpha'eical or"er A, AEDNRI B, AEDRNI C, AEIDNR D, AEDRIN (5) 1* 3* 3* 5* 5* 5* 4* 4* 4* 4* 1* 1* 3* 3* 3* 3* 5* 5* 5* 5* 5* 5* 4* 4* 4* 4* 4* 4* 4* 4* 1* 1* 1* 3* 3* 3* 3* 3* 3* 5* 5* 5* 5* 5* 5* 5* 5* 5* 4,,,,,,, In he a'o-e se7&ence* $ha is he n&%'er a he posiion 363 o he se7&ence A, 4 B, 5 C, 3 D, 1 (4) Tra8c on N94* he Chennai Ban!alore hi!h$a. %o-es a a consan spee" o 2 #%s per ho&r in 'oh "irecions, A Ban!alore 'o&n" "ri-er passes 3 Chennai 'o&n" -ehicles in a 3 %in&e iner-al, Ass&%e ha he -ehicles in he Chennai 'o&n" lane are e7&all. space", :hich o he ollo$in! ans$ers is closes o he n&%'er o Chennai 'o&n" -ehicles in a 13 #%s srech o he hi!h$a.
A, B, C, D,
2 13 4 5
() The ;eoci. plannin! o8ce is e
c%* hen $ha is he "isance (in c%) cra$le" '. he '&! 'eore reachin! he hone. ?se @=5,14* 3 = 1,41* an" 5 = 1,05
A, B, C, D,
15 30 363,2 141,5
(2) The n&%'er o sol&ions in posii-e ine!ers o he e7&aion 3*5) is A, 5 B, 0 C, Canno 'e "eer%ine" ro% he !i-en inor%aion D, >
(6) T$o -erical poles 3 %eers an" 6 %eers hi!h san" apar on a horional plane, The hei!h in %eers o he poin o inersecion o he lines oinin! he op o each pole o he 'oo% o he oher pole is A, Canno 'e "eer%ine" $iho& #no$in! he "isance 'e$een he 'oo% o he poles B, 1,6 C, 1,2 D, ,2 (>) In his 7&esion* AGB %eans A raise" o he po$er B, One o he roos o he e7&aion 5H (1) For a cerain ine!er n* n/12 an" 6n/3> ha-e a co%%on acor 1, The co%%on acor is A, 15 B, Canno 'e "eer%ine" ro% he !i-en inor%aion C, 10 D, 11 (11) In his 7&esion* AGB %eans A raise" o he po$er B, ;i-en ha one o he eroes o he c&'ic e7&aion a
(15) (n) is a &ncion "e+ne" or all ine!ers n s&ch ha ((n) )/(n)= 3n/5 or all n, I ()= 1 * $ha is he -al&e o (313) A, 313 B, Canno 'e "eer%ine" ro% he !i-en inor%aion C, 315 D, 430 (14) In his 7&esion* GJ %eans* raise" o he po$er J, 9o$ %an. ine!ers < sais. he e7&aion (
A, B, C, D,
arsha li-es ne< o An&sha li-es ne< o An&sha li-es ne< o arsha li-es ne< o
Aasha, Nisha, ?sha, Naasha,
(10) 9o$ %an. $or"s can 'e or%e" $ih he leers o $or" ?NPREDICTABLJ i he or"er o -o$els "o no chan!e an" NO $o -o$els can occ&p. consec&i-e places A, 02346 B, 113 C, 1012 D, 3>4>3 (16) The %ean o hree n&%'ers is 1 %ore han he leas o he n&%'ers an" 1 less han he !reaes o he hree, I he %e"ian o he hree n&%'ers is * hen he s&% o he hree is A, 5 B, C, 3 D, 3 (1>) A an" B sar ro% heir ho&se a 1a%, The. ra-el ro% heir ho&se on M; roa" a 3K%ph an" 4#%ph,There is a T &ncion on heir pah, A &rn le a he T &ncion a 13 noon, B reaches he T &ncion earlier an" &rns ri!h, Boh o he% conin&e ra-ellin! ill 3p%, :ha is he "isance 'e$een A an" B a 3p% A, 13 #% B, 1 #% C, 14 #% D, 12 #% (3) a#e is aser han Pa&l, a#e an" Pa&l each $al# 34 #%, The s&% o heir spee"s is 0 #%h an" he s&% o i%es a#en '. he% is 14 ho&rs, Then* a#es spee" is e7&al o A, 0#%ph B, #%ph C, 4#%ph D, 5#%ph (31) A %an !oes &psrea% or a "isance o 1 #% in hrs, Anoher %an !oes "o$nsrea% he sa%e "isance o 1#%s in 5 hrs, :ha is he "ierence in spee"s o he $o %en i he ri-er spee" is , #%ph(ro&n" he ans$er o $o "eci%als) A, 3,4 B, 3,5 C, 1,2 D, 1,55 (33) T$o -ehicles A an" B lea-es ro% ci. J o ci. , A o-era#es B a 15a% an" reaches ci. a 13p%, I $ais or 3hrs an" re&rns o ci. J, On is $a. i %ees B a 5p% an" reaches ci. J a p%,B reaches ci. $ais or 1hr an" re&rns
o ci. J, Aer ho$ %an. ho&rs $ill B reach ci. J ro% he i%e A o-eroo# hi% or he +rs i%e A, 50, hrs B, hrs C, 4>, hrs D, 41, hrs (35) In his 7&esion* AGB %eans A raise" o he po$er B, The 9CF o 3403* 1364 an" a hir" n&%'er n is 13, I heir LCM is 3G5 H 5G3 H G1 H 15 H 10* hen he n&%'er n can 'e A, 33H55H15 B, 33H53H1 C, None o hese D, 33H53H01 (34) Fin" he n&%'er o "i-isors o 1036 (incl&"in! 1 an" 1036), A, 16 B, 3 C, 5 D, 36 (3) T$o ores o8cials in heir respeci-e "i-isions $ere in-ol-e" in he har-esin! o en"& lea-es, One "i-ision ha" an a-era!e o&p& o 31 ons ro% a hecare an" he oher "i-ision* $hich ha" 13 hecares o lan" less* "e"icae" o en"& lea-es* !o 3 ons o en"& ro% a hecare, As a res&l* he secon" "i-ision har-ese" 5 ons o en"& lea-es %ore han he +rs, 9o$ %an. ons o en"& lea-es "i" he +rs "i-ision har-es A, 52 B, 51 C, 54 D, 5 (32) In ho$ %an. $a.s can 0 "ieren o'ecs 'e "i-i"e" a%on! 5 persons so ha eiher one or $o o he% "o no !e an. o'ec A, 64 B, 16 C, 561 D, 52 (30) :ha is he "isance in c% 'e$een $o parallel chor"s o len!hs 53 c% an" 34 c% in a circle o ra"i&s 3 c% A, 5 or 31 B, 3 or 14 C, 4 or 36 D, 1 or 0 (36) The price o a co%%o"i. (in r&pees per #ilo!ra%) is 1 / ,1n* on he nh "a. o 30 (n = 1* 3* ,,,* 1)* an" hen re%ains consan, On he oher han"* he price o anoher co%%o"i. (in r&pees per #ilo!ra%) is 6> / ,1n* on he nh "a.
o 30 (n = 1* 3* ,,,* 52), On $hich "ae in 30* $ill he prices o hese $o co%%o"iies 'e e7&al A, April 1 B, Ma. 31 C, April 11 D, Ma. 3 (3>) T$o si"es o a plo %eas&re 24 %eers an" 13 %eers an" he an!le 'e$een he% is a ri!h an!le, The oher $o si"es %eas&re 6 %eers each an" he oher hree an!les are no ri!h an!les, I plo is con-e< (none o he inernal an!les are !reaer han 16 "e!rees)* $ha is he area o he plo (in s7 %eres) A, 043, B, 056 C, 1542 D, 6>4 (5) Three "isinc sin!le"i!i n&%'ers A* B an" C are in ;eo%eric Pro!ression, I a's(<) or real < is he a'sol&e -al&e o < (< i < is posii-e or ero* an" < i < is ne!ai-e)* hen he n&%'er o "ieren possi'le -al&es o a's(A / B C) is A, 2 B, 4 C, D, 5
