Problems on Analytical Reasoning
Example 1:
6 Boys are sitting in a circle and facing towards the centre of the circle. Rajeev is sitting to the right of mohan but he is not just at the left of Vijay. Suresh is between Babu and Vijay. Ajay is sitting to the left of Vijay. Who is sitting to the left of Mohan Solution :
!ence" Babu is sitting to the left of Mohan.
Example 2:
#leven students A" A" B" $" %" #" &" '" !" (" ) and * are sitting in first line facing to the teacher. % who is just to the left of &" is to the right of $ at second +lace. A is second to the right of # who is at one end. ) is the nearest neighbour of A and B and is to the left of ' at third +lace. ! is ne,t to % to the right and is at the third +lace to the right of (. Who is just in the middle Solution :
!ence" ( is just in the middle.
Example 3:
Siva" Sathish" Amar and -raveen are +laying cards. Amar isto the right of Sathish" who is to the right of Siva. Who is to the right of Amar Solution :
!ence -raveen is to the right of Amar. Amar.
Example 4:
A" B and $ are three boys while R" S and are three girls. hey are sitting such that the boys are facing the girls. A and R are diagonally o++osite to each other. $ is not sitting at any of the ends. is left to R but o++osite to $. /A0. Who is sitting o++osite to B /B0. Who is sitting diagonally o++osite to B Solution :
/A0. !ence" R is sitting o++osite to B. /B0. !ence" S is sitting diagonally o++osite to B.
-roblem 1 23 A" B" $" %" #" & and ' are sitting on a wall and all of them are facing east. $ is on the immediate right of %. B is at an e,treme end and has # as his neighbour. ' is between # and &. % is sitting third from the south end. Who is sitting to the right of # 4ame the +erson who should should change +laces with with $ such that he gets the the third +lace from the north end end Which of the following +airs of +eo+le are sitting at the e,treme ends a0 AB b0 A# c0 $B d0 &B 5. (mmediately between which of the following +airs +airs of +eo+le is % sitting sitting a0 A$ b0 A& c0 $# d0 $& Solution3 $ is immediate right of %. %" $ B is at an e,treme end and has # as his neighbor. B" #" ' is between # and &. #" '" &. B" #" '" &. % is sitting third from the south end. B" #" '" &" %" $" A. Who is sitting to the right of # is '. 4ame the +erson who should should change +laces with with $ such that he gets the the third +lace from the north end end is '. Which of the following +airs of +eo+le are sitting at the e,treme ends is AB. (mmediately between which of the following +airs of +eo+le is % sitting d0 $& -roblem 1 73 (n the 8lym+ic 'ames" the flags of si, nations were flown on the masts in the following way9 he flag of America was to the left of (ndian tricolor and to the right of the flag of &rance. he flag of Australia was on the right of the (ndian flag but was to the left of the flag )a+an" which was to the left of the flag of china. &ind the two flags which are in the centre. (ndia and Australia
b0 America and (ndia
c0 )a+an and Australia d0 America and Australia Solution3 Si, flags he flag of America was to the left of (ndian tricolor : America" America" (ndia o the right of the flag of &rance : &rance" America" (ndia he flag of Australia was on the right of the (ndian flag : &rance" America" (ndia" Australia Australia Australia was to the left of the flag )a+an : &rance" America" (ndia" Australia" )a+an. )a+an was to the left of the flag of china : &rance" America" (ndia" Australia" Australia" )a+an" $hina $entre &lag was : a0 (ndia and Australia Australia -roblem 1 ;3 (n a car e,hibition" seven cars of seven different com+anies vi<. $ardilac" Ambassador" Ambassador" &iat" Maruti" Mercedes" Bedford and &argo were dis+layed in a row" facing facing east such that3 $ardialc car was to the immediate right of &argo. &argo was fourth to the right of &iat Maruti car was between Ambassador Ambassador and Bedford &iat" which was third to the left of Ambassador Ambassador car" was at one of the ends. Which of the following was the correct +osition of the Mercedes a0 (mmediate (mmediate right of &argo &argo b0 (mmediate (mmediate left of Bedford c0 Between Bedford and and &argo &argo d0 &ourth to the right of Maruti Which cars are on the immediate either sides of the $ardilac car Solution3 Seven cars of seven different com+anies vi<. $ardilac" Ambassador" &iat" Maruti" Mercedes" Bedford and &argo $ardialc car was to the immediate right of &argo. : &argo" $ardialc &argo was fourth to the right of &iat : &iat &argo Maruti car was between Ambassador Ambassador and Bedford : Ambassador" Ambassador" Maruthi Bedford = Bedford" Maruthi" Ambassador &iat" which was third to the left of Ambassador Ambassador $ar" was at one of the ends : &iat" Ambassador Ambassador 8rder is"
&iat" Bedford" Maruthi" Ambassador" &argo" $ardialc" Mercedes d0 &ourth to the right of Maruti 8n either side of the $ardilac are the &argo and the Mercedes. -roblem 1 53 A" B" $" %" #" &" '" !" (" ) are ten +ersons sitting in waiting hall. ) is sitting two table right of &" who is right side of !. (n between # and B two +ersons are sitting where B is sitting left of '. (n between # and ) eight +ersons are sitting. $ is sitting immediate right of # and left of B. ' is sitting four seats left of ). ' and & have two +ersons in between where one +erson +erson is (. ( is sitting immediate immediate right of '. ! is sitting sitting in seventh seat. Show the arrangement +ossible. Solution3 A" B" $" %" #" &" '" !" (" ) are ten +ersons sitting in waiting hall. ) is sitting two table right of &" who is right side of ! : !" &" " ) (n between # and B two +ersons are sitting where B is sitting left of ' : #" " " B" '. (n between # and ) eight +ersons are sitting : #" " " " " " " " " ) = )" " " " " " " " " #. $ is sitting immediate right of # and left of B : #" $" B. ' is sitting four seats left of ) : '" " " " ). ' and & have two +ersons in between where one +erson is ( : '" (" " & = '" " (" & = &" (" " ' = &" " (" ' ( is sitting immediate right of ' : '" (" " &. ! is sitting in seventh seventh seat. #" $"A=% B"'" (" !" &" %=A" ).
-roblem 1 >3 -"?"R"S" are > +eo+le who sit in a round table. - sits two tables to the left of R and ? sits two tables to the right of R. 2. (f S is in between ? and R what is the arrangement 7. !ow many different arrangements are +ossible ;. (f S is not sitting between ? and R then who is sitting between ? and S Solution3
R T /
T /
P Q
(f S is in between ? and R the arrangement is" R T S P Q
!ow many different arrangements are +ossible : 7 R T / T / P Q
(f S is not sitting between ? and R then who is sitting between ? and S : R S
T
Q
P
-roblem 1 63 6 +eo+le A"B"$"%"# and & sit around a table for dinner. Since A does not li@e $" he doesnt sit either o++osite or beside $. B and & always li@e to sit o++osite each other. (f A is beside & then who are the two neighbors of B (f % is adjacent to & then who is adjacent to $
Solution3 A does not li@e $" he doesnt sit either o++osite or beside $ B and & always li@e to sit o++osite each other (f A is is beside & then who are the two neighbors of B F
C
A
E/
D/ B
% and # (f % is adjacent to & then who is adjacent to $ F D/ D/
A
C B
# and B /or0 % and B -roblem 1 3 Si, friends A" B" $" %" # and & are sitting along the sides of a he,agonal table for +laying a game" thought not necessarily in the same order. &" who is sitting e,actly o++osite of A" is to the immediate right of B. % is between A and B and is e,actly o++osite to $. A is sitting between whom Who is sitting o++osite B F
B
C
D
E
% and # #
A
-roblem 1 C3 Mr. A" A" Miss B" Mr. $ and Miss % are sitting around a table and discussing their trades. Mr. A sit o++osite to coo@ Miss. B sits right to the barber he washer man is on the left of the tailor Miss. % sits o++osite Mr. $. 2. What are the trades of A and B ailor and Barber b0 ailor and $oo@ c0 Barber and $oo@ d0 Washer Washer man man and $oo@ A / tailor
C / Waher
D / Barber B / cook
b0 ailor ailor and $oo@ -roblem 1 D3 #ight +ersons #" &" '" !" (" )" * and E are seated around a sFuare table 1 two on each side. here are three lady members and they are not seated ne,t to each other. ) is between E and &. ' is between ( and &. !" a lady member" is second to the left of ). &" a male member is seated o++osite #" a lady member. here here is a lady member between # and ! Who is seated between # and ! !ow many +ersons are seated between * and & Who is sitting immediate left of & Who among the following are the three lady members #" ' and ) b0 #" ! and ' c0 '" ! and ) >. Which of the following is true about ) a0 ) is a male male member b0 ) is a female female member Solution3 * hree )
#" ! and ' ) is a male member -roblem 1 2G3 #ight friends A" A" B" $" %" #" &" ' and ! are sitting in a circle facing centre. B is sitting between ' and %. ! is third to the left of B and second to the right of A. $ is sitting between A and ' and B and # are not sitting o++osite to each other. Which of the following statement is not correct a0 $ is third to the right of % b0 A is sitting between $ and & c0 # is sitting sitting between & and %. Solution3 c0 # is sitting between & and % Double Line up
-roblem 1 23 &ive e,ecutives of #uro+ean $or+oration hold a $onference in Rome Mr. A converses in S+anish H (talian Mr. B" a S+aniard" @nows #nglish also Mr. $ @nows #nglish and belongs to (taly Mr. % converses in &rench and S+anish Mr. # " a native of (taly @nows &rench Who can act as inter+reter if Mr. $ H Mr. % wish to converse a0 only Mr. A b0 8nly Mr. B c0 Mr. A H Mr. B
d0 Any of the other three
(f a 6th e,ecutive is brought in" to be understood by ma,imum number of original five he should be fluent in a0 #nglish H &rench b0 (talian H S+anish c0 #nglish H &rench
d0 &rench H (talian
Solution3 -ersons
S+anish
(taly
#nglish
&rench
A
I
I
J
J
B
I
J
I
J
$
J
I
I
J
%
I
J
J
I
#
J
I
J
I
$ @nows (taly and #nglish" % @nows S+anish and &rench A can inter+ret since A @nows S+anish and (taly B can inter+ret since B @nows S+anish and #nglish # can inter+ret since # @nows (taly and &rench. So" d0 any of the other three (f a 6th e,ecutive is brought in" to be understood by ma,imum number of original five he should be fluent in" three of them @nows @nows S+anish and italian" italian" so o+tion b0 (talian H S+anish -roblem 1 73 S+elun@ers (nternational offers e,+loring tours in eight caves3 Abbott" Benny" $aeser" %angerfield" #well" &ields" 'uinness and !o+e. /20 $lass 2 s+elun@ers may not attem+t cave #well" &ields &ields or !o+e /70 $lass 7 s+elun@ers may not attem+t !o+e /;0 $lass ; s+elun@ers may attem+t any cave /50 $ave $aesar may be attem+ted only by s+elun@ers who have +reviously e,+lored cave Benny />0 $ave &ields may be attem+ted only by s+elun@ers who have +reviously e,+lored cave #well /60 8nly two of the caves Benny" Benny" $aeser" #well" &ields" and !o+e may be attem+ted by any e,+lorer in a single tour. A class 7 s+elun@er s+elun@er who has +reviously e,+lored e,+lored cave #well may be restricted restricted in choosing choosing a tour by which rules /(0 Rule/50
/((0 Rule/>0
( only
/(((0 Rule/60 /b0 (( only
/d0 (( and ((( only
/c0 ( and ((( only
/e0 (" (( and (((
7. (n how many different ways may a class 2 s+elun@er who has never e,+lored any of the eight caves before set u+ a tour of three three caves" if she wishes to e,+lore e,+lore caves Abbott Abbott and $aesar /a0 7 $lass 2 7 ;
/b0 ; Abbott
/c0 5 Benny
$aeser
/d0 > %angerfield
/e0 6 #well
&ields
J
J
'uinness
!o+e J J
$ave $aesar may be attem+ted only by s+elun@ers who have +reviously e,+lored cave Benny $ave &ields may be attem+ted only by s+elun@ers who have +reviously e,+lored cave #well 8nly two of the caves Benny" $aeser" #well" &ields" and !o+e may be attem+ted by any e,+lorer in a single tour. c0 ( and ((( only b0 ; -roblem 1 ;3 here are si, cities A" B" $" %" # and &. A is not a hill station. B and # are not historical +laces. % is not an industrial city. A and % are not historical cities. A and B are not ali@e. Which two cities are industrial centres a0 A and B b0 # and & c0 $ and % d0 B and & Which two cities are historical +laces A and $ b0 B and & c0 $ and & d0 B and # Which two cities are neither historical +laces nor industrial centres A and B b0 % and # c0 & and $ d0 B and % Which city is a hill station and an industrial centre but not a historical +lace a0 # b0 & c0 A d0 B e0 $ $ities
!ill Station
!istorical
A
J
J
B
(ndustrial $ity
J
$ %
J
#
J
b0 # and & c0 $ and &
J
d0 B and % a0 # -roblem 1 53 &ive friends -" ?" ?" R" S and traveled to five different cities of $alcutta" $hennai" %elhi" Bangalore and !yderabad by five different modes of trans+ort of Bus" rain" Aero +lane" $ar and Boat from Mumbai. he +erson who traveled to %elhi did not travel by boat. R went to Bangalore by car and ? went to $alcutta by aero +lane. S traveled by boat whereas traveled by rain. rain. $alcutta is not connected by bus to %elhi and $hennai. Which of the following combinations of +erson and mode is not correct a0 - 1 Bus b0 R 1 car c0 1 Aero Aero +lane d0 S K Boat Which of the following combinations is true for S a0 %elhi 1 Bus b0 $hennaiK $hennaiK Bus c0 $hennai K Boat Who is that +erson traveled to %elhi he +erson went to %elhi traveled by Solution3 &ive &riends 1 -" ?" R" S" &ive $ities 1 $alcutta" $hennai" %elhi" Bangalore and !yderabad &ive Mode of rans+ort K Bus" rain" Aero Aero +lane" $ar and Boat from Mumbai.
-ersons
$ity
Mode of rans+ort
-
!yderabad
Bus
?
$alcutta
Aero -lane
R
Bangalore
$ar
S
$hennai
Boat
%elhi
rain
c0 1 Aero +lane c0 $hennai 1 Boat
rain
-roblem 1 >3 (n a school" there were five teachers. A and B were teaching !indi and #nglish. $ and B were teaching #nglish and 'eogra+hy. 'eogra+hy. % and A were teaching Mathematics and !indi. # and B were teaching !istory and &rench. Who is teaching ma,imum number of Subjects More than two teachers were teaching which subjects Which subject were handle by %" B and A !indi
#nglish
'eogra+hy
Maths
!istory
&rench
A
I
I
J
I
J
J
B
I
I
I
J
I
I
$
J
I
I
J
J
J
%
I
J
I
I
J
J
#
J
J
J
J
I
I
B #nglish and !indi !indi -roblem 1 6 Si, students A" A" B" $" %" # and & are sitting in the field. A and and B are from 4ehru house while the rest belong to 'andhi house. house. % and & are tall while the the others are short. A" $ and % are wearing glasses glasses while the others are not. Which of the two student" who are not wearing glasses are short Which short student of 'andhi house is not wearing glasses Which tall student of 'andhi house is not wearing glasses Solution3 A" B" $" %" # and & 4ehru : A and B 'andhi : $" %" # and &
all : A" & Short : $" #" A" B 'lasses : A" $" % 4ot : B" #" & two student" who are not not wearing glasses are short short : B and # short student of 'andhi house is not wearing glasses : # tall student of 'andhi 'andhi house is not wearing wearing glasses : &
-roblem 1 3 )ayant" *amal" 4amita" Asha and anmay are five members of a family. hey have their birth dates from )anuary to May" each member in one of these months. #ach one li@es one +articular item for his=her birthday out of Bengali sweets" $hocolates" -astries" (ce cream and %ry fruits. he one who who li@es -astries is born in the month which is e,actly middle middle in the months months given. Asha does does not li@e (ce cream but brings $hocolates for )ayant in &ebruary. anmay anmay who is fond of Bengali sweets is born the ne,t month month immediately after 4amita. 4amita. 4amita does not li@e %ry fruits fruits or (ce cream. What is the choice of Asha Which combination of month and item is true for )ayant What is the choice of *amal (n which month was *amal born Solution3 -erson
Month
(tem
)ayanth
&eb
$hocolates
*amal
May = )an
(ce $ream
4amita
March
-astries
Asha
)an = May
%ry &ruits
anmay
A+ril
Bengali sweets
&ive mothsK )an" &eb" March" A+ril" May -astries : March
Asha does not li@e (ce cream but brings $hocolates for )ayant in &ebruary anmay anmay who is fond of Bengali sweets is born the ne,t month immediately after 4amita. 4amita does not li@e %ry %ry fruits or (ce cream. %ry fruits &ebruary 1 $hocolates (ce cream )anuary or May
-roblem 1 C3 (n a grou+ of si, women" there there are four dancers" dancers" four vocal musicians" one actress and and three violinists. 'irija and Vanaja Vanaja are among the violinists while )alaja and Shailja do not @now how to +lay on the violin. Shailja and anuja are among the dancers. )alaja" Vanaja" Shailja and anuja are all vocal musicians and two of them are also violinists. (f +ooja is an actress" who among the following is both a dancer and a violinist a0 )alaja b0 Shailja c0 anuja anuja d0 -ooja
Solution3 %ancer
Vocal
Actress
Violinists
'irija
I
Vanaja
I
)alaja
I
Shailija
I
I
anuja
I
I
-ooja
I
I I
both a dancer and a violinist violinist is anuja anuja
-roblem 1 D3 here are si, friends A" B" $" %" # and &. each one is +roficient in one of the games" namely Badminton" Volleyball" $ric@et" !oc@ey" ennis and +olo. #ach owns a different colored car" namely yellow" green" blac@" white" blue and red. red. % +lays +olo and owns a yellow yellow colored car. $ does not +lay either ennis ennis or
!oc@ey and owns neither blue nor yellow colored car. # owns a white car and +lays Badminton. B does not +lay ennis" he owns a red colored car. A +lays $ric@et and owns a blac@ car.
Who +lays volleyball Which colored car & owns Which of the following combinations of color of car and game +layed is not correct Lellow Lellow 1 -olo b0 'reen 1 ennis ennis c0 Blac@ Blac@ 1 $ric@et d0 Red 1 !oc@ey Solution3 -ersons
'ames
$ar $olour
A
$ric@et
Blac@
B
ennis = !oc@ey
Red
$
Volley ball
'reen
%
-olo
Lellow
#
Badminton
White
&
!oc@ey = ennis
Blue
$ Blue b0 'reen K ennis ennis
-roblem 1 2G3 -" ?" R" S" and are si, students +rocuring their MasterNs degree in si, different subjects 1 #nglish" !istory" -hiloso+hy" -hysics" Statistics and Mathematics. wo wo of them stay in hostel" two stay as +aying guest /-'0 and remaining two stay at their home. R does not stay as -' and studies +hiloso+hy. +hiloso+hy. he students staying Statistics and !istory do not stay as -'. studies Mathematics and S studies -hysics. and S stay in hostel. stay as -' and ? stays at home. Who studies #nglish Which of the following combinations of subject and +lace of stay is not correct #nglish 1 !ostel b0 Mathematics 1 -'
c0 -hiloso+hy 1 !ome d0 -hysics K !ostel !ostel Which subject does ? study Which of the following +airs of students stay at home a0 -? b0 ?R c0 RS d0 S Solution3 -ersons
Subject
-lace
-
#nglish
-'
?
!istory = Statistics
!ome
R
-hiloso+hy
!ome
S
-hysics
!ostel
Mathematics
-'
Statistics = !istory
!ostel
a0 #nglish 1 !ostel !istory or Statistics b0 ?R
