tcs pattern with answers.rtf

8/14/2019 tcs pattern with answers.rtf

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Pattern 1:

1. (1/2) of a number is 3 more than the (1/6) of the same number?a) 6 b)7 c)8 d)9Solution:

et the number be !"((1/2)#!)$3%(1/6)#!"&hen sol'e !

2. (1/3) of a number is 3 more than the (1/6) of the same number?a) 6 b)16 c)18 d)21

3. (1/3) of a number is 6 more than the (1/6) of the same number?a) 6 b)18 c)36 d)2

. (2/3) of a number is more than the (1/6) of the same number?a) 6 b)8 c)36 d)2

. (1/3) of a number is more than the (1/6) of the same number?

a) 6 b)36 c)3* d)72

Pattern 2:

1. &here are t+o +ater tan,s - and " - is much smaller than . hile +ater fills at the rateof 1 liter e'er0 hour in -" it ets filled u li,e" 1*" 2*" *" 8*" 16* in tan, . (-t the end offirst hour" has 1* liters" second hour it has 2* liters and so on). f tan, is 1/32 filled ofthe 21 hours" +hat is total duration of hours re4uired to fill it comletel0?a) 26 )2 c) d)27Solution: for e'er0 hour +ater in tan, in is doubled"et the duration to fill the tan, is ! hours.!/32 art of +ater in tan, of is filled in 21 hours"5e!t hour it is doubled so"2#(!/32) art i.e (!/16) art is filled in 22 hours"Similarl0 (!/8)th art in 23 hours"(!/)th art is filled in 2 hours"(!/2)th art is filled in 2 hours" (!)th art is filled in 26 hoursSo ans+er is 26 hours.

2. &here are t+o ies - and . f - filled 1* liters in an hour" can fill 2* liters in sametime. i,e+ise can fill 1*" 2*" *" 8*" 16*. f filled in 1/16 of a tan, in 3 hours" ho+much time +ill it ta,e to fill the tan, comletel0?a) 9 ) 8 c) 7 d) 6

3. &here are t+o +ater tan,s - and " - is much smaller than . hile +ater fills at the rate

of 1 liter e'er0 hour in -" it ets filled u li,e" 1*" 2*" *"8*" 16*..in tan, . 1/8 th of thetan, is filled in 22 hours. hat is the time to fill the tan, full0?a) 26 ) 2 c) d) 27

. - tan, is filled +ith +ater. n first hour 1* liters" second hours 2* liters" and third hour *liters and so on. f time ta,en to fill of the tan, if hours. hat is the time ta,en to fillu the tan,?a) ) 8 c) 7 d) 12.


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. f a tan, - can be filled +ithin 1* hours and tan, can be filled in 19 hours then" +hatis the time ta,en to fill u the tan, comletel0?a) 21 ) 38 c) 7 d) 76

Pattern 3:

1. 6 ersons standin in 4ueue +ith different ae rou" after t+o 0ears their a'erae ae+ill be 3 and se'enth erson oined +ith them. ence the current a'erae ae has become. ind the ae of se'enth erson?a) 3 b) 69 c) 2 d) 31Solution:&otal ae of 6 ersons is ! hours"after t+o 0ears total ae of 6 ersons is !%12-'erae ae of 6 ersons is after t+o 0ears is 3So (!%12)/6$3"then sol'e !"-fter 7therson is added then (!%7therson ae)/7$So +e +ill et 7therson ae easil0

2. n a mar,et men are standin. &he a'erae ae of the four before 0ears is " after

some da0s one man is added and his ae is 9. hat is the a'erae ae of all?a) 3 b) c) 7 d) 9

3. n a shoin mall +ith a staff of members the a'erae ae is 0ears. -fter 0ears aerson oined them and the a'erae ae is aain 0ears. hat;s the ae of 6th erson?a) 2 b)2* c) d)3*

. n a mar,et men are standin .&he a'erae ae of the four before 2 0ears is " aftersome da0s one man is added and his ae is . hat is the a'erae ae of all?a) b) . c) .6 d) .7

Pattern 4:

1. n the readin room of a librar0" there are 23 readin sots.


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a) 8 b) 6 c) 2 d) 7

Pattern 5:

1. - man os at 6 mh o'er a certain ourne0 and +al,s o'er the same route at mh.hat is his a'erae seed for the ourne0?a) 2. mh b) .8 mh c) mh d) mh

Solution: -'erae seed$(2#!#0)/(!%0)

2. - man tra'els from - to at mh o'er a certain ourne0 and returns o'er the sameroute to -" at mh. hat is his a'erae seed for the ourne0?a) . mh b) .8 mh c) .887 mh d) mh

3. - erson is roc, climbin at an altitude of 8** m. e o u b0 7 mh. and come do+n b09 mh. +hat +as his a'erae seed?a) 7.87 mh b) 7.12 mh c) 7mh d) 7. mh

. ind a'erae seed if a man tra'els at seed of 2,mh u and 36,mh do+n at analtitude of 2**m?a) 28.8 mh b) 27.8 mh c) 27.mh d) 3* mh

. >erson tra'els to a hill" if he oes from - to +ith seed of ,mh and returns bac, to +ith seed of ,mh. hat is his a'erae seed of ourne0?a) .,mh b) .,mh c) 9,mh d) .2,mh

6. - man tra'els from - to at 7* mh o'er a certain ourne0 and returns o'er the sameroute to -" at 8* mh. hat is his a'erae seed for the ourne0?a) 7.66 b)7 c)7.33 d)7.99

7. ind a'erae seed if a man tra'els at seed of 2,mh u and 36,mh do+n at analtitude of 2**m.a) 28.8 b)28 c)27 d)28.6

Pattern 6:

1. Susan made a bloc, +ith small cubes of 8 cubic cm 'olume to ma,e a bloc, "3 smallcubes lon" 9 small cubes +ide and small cubes dee. She realies that she has usedmore small cubes than she reall0 needed. She realied that she could ha'e lued a fe+ernumber of cubes toether to loc, li,e a bloc, +ith same dimensions" if it +ere made hollo+.hat is the minimum number of cubes that she needs to ma,e the bloc,?a) 11 b) 13 c) 21 d) 71

Solution: do not ,no+ erfectl0 but ot some solutions from internet do not ,no+correctl0 +hether it is tru e or not"((3#9#))=((3=2)#(9=2)#(=2)) so ans+er is 11.

2. - bo0 +ants to ma,e cuboids of dimension m" 6m and 7m from small cubes of .*3 m3.ater he realied he can ma,e same cuboids b0 ma,in it hollo+. &hen it ta,es some cubesless. hat is the number of the cubes to be remo'ed?a) 2*** b) *** c) 3*** d) 7***

3. Smita +as ma,in a cube +ith dimensions ## usin 1#1#1 cubes. hat is the numberof cubes needed to ma,e a hollo+ cube loo,in of the same shae?a) 98 b) 1* c) 1** d) 61


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. eena cut small cubes of 1* cm dimension each. She oined it to ma,e a cuboid of lenth1** cm" +idth * cm and deth * cm. o+ man0 more cubes does she need to ma,e aerfect cube?a) ** b) 2* c) 7* d) 6*

. eena cut small cubes of 3 cubic cm each. She oined it to ma,e a cuboid of lenth 1*

cm" +idth 3 cm and deth 3 cm. o+ man0 more cubes does she need to ma,e a erfectcube?a) 91* b) 2* c) 7* d) 6*

6. - lad0 builds 9cm lenth" 1*cm +idth"3cm heiht bo! usin 1 cubic cm cubes. hat isthe minimum number of cubes re4uired to build the bo!?a) 73* b) 27* c) 72* d) 31*

Pattern 8:

1. (*#*#* @ 31#31#31)/(*#*%*#31%31#31)$?a)8 b)9 c)71 d)1Solution:a3 =b3$(a=b)#(a2%a#b%b2) so from this formula +e +ill find (a=b) 'alue

2. (98#98#98 @ 73#73#73)/( 98#98#98 @ 73#73#73)$?a).171 b). c).2* d).1

3. (2*9#1)A2 % (2*9#2*9)%(2*9#1)%(1#1) $ ?a)9*863729 b)9*368729 c)9*729368 d)6

Pattern 9:

1. ((!%30)%(!%90))/(!%0) $ ? as (!/20) $ 2a)8 b)none c)16 d)1

Solution: substitute !$0 in abo'e +e can find solution2. !/20 $ 2a"then 2!/!=2a0$?a) b)8 c)16 d)2

3. 3B/C $ C/3B..ind the 'alue of B/Ca)3/ b)/3 c)2/ d)/2

. hat is the 'alue of (3B%8C)/(B=2C)" if B/2C$2a)8 b)none c)1* d)13

. (!%30)%(!%90))/(!%0) $ ? as (!/20) $ 2a)8/ b)6/ c)7/ d)9/

6. ((!%20)/(!=20)$ ? as (!/20) $ 2a)8/7 b)9/7 c)11/7 d)6/7

Pattern 10:

1. - irl has to ma,e ia +ith different toins. &here are 8 different toins. n ho+man0 +a0s can she ma,e ias +ith 2 different toins?a) 16 b) 6 c) 112 d) 28


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Solution: 8c2

2. - ia sho made ias +ith man0 fla'ors. &here are 1* different fla'ors" in that 7fla'ors are ta,en to ma,e ia. n ho+ man0 +a0s the0 can arrane?a) 2* b) 12* c) 6 d) 21*

3. - ia sho made ias +ith man0 fla'ors. &here are 9 different fla'ors" in that 2fla'ors are ta,en to ma,e ia. n ho+ man0 +a0s the0 can arrane?a) 16 b) 26 c) 36 d) 6

Pattern 11:

1. 3" 22" 7" " 1"? " 31a) 91 b)11 c) 9* d)

2. 8 6 17 1 3 31 7 D 13?

3. nsired b0 ibonacci series Saneet decided to create his o+n series +hich is 1" 2" 3" 7"

7" 22" 1" 67" 31" D" 63?a) 2*2 b) 31 c) 76 d) 9

. 3" 12" 7" 26" 1" ?a) b) 27 c) 1*8 d) 31

. 1E % 2E % . % *E$?a)3.1*3#1*A6 b)2.1*21#1*A6 c)3.1*3#1*A63 d)3.1*3#1*A62

6. 1" 2" 3" 6" 7" 1" D" 32?

7. " 9" 12" 18" 26" 36" 7" 72" D?a) 7 b) 13 c) 1** d)

8. 3" 1" !" 1" 3"19"161a) 17 b) 3 c) d) 112

Pattern 12:

1. Simle 4uestion but bi one on a'erae ae.sth li,e a" b" c +eihted searatel0 1st a" b"c "then aF b" then b F c "then c F a at last abc" the last +eiht +as 167"then +hat +ill bethe a'erae +eiht of the 7 readin?a) 9 b) 9.28 c) 9. d) 9

Solution: ast +eiht abc is 167i.e three ersons +eiht is 167 .in first 6 combinations

a"b"c"ab"bc"ac i.e a chec,ed +eiht for 3 times totall0 li,e that band c also so total +eiht inall 7 combinations is (#167)-'erae is (668/7)$9.2

Pattern 13:

1. - to0 train roduces 1* different sounds +hen it mo'es around a circular to0 trac, ofradius m at 1* m er min. o+e'er" the to0 train is defecti'e and it no+ roduces onl0 2different tunes at random. hat are the odds that the train roduces for consecuti'e music


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tones of the same t0e?a) 1 in 16 ) 1 in c) 1 in 8 d) 1 in 32Solution: nitiall0 it roduces 1* sounds and the defect came and no+ it roduces onl0 2different sounds and consecuti'el0 so there are totall0 2 sounds and +e ha'e to select onsound and the robabilit0 is G and it roduces the same sound concecuti'el0 for 2 times so

the robabilit0 becomes G#1/2 ie

2. - car manufacturer roduces onl0 red and blue models +hich come out of the finaltestin area at random. hat are the odds that fi'e consecuti'e cars of same color +illcome throuh the test area at an0 one time?a) 1 in 16 b) 1 in 12 c) 1 in 32 d) 1 in 2Pattern 15:

1. - trianle is made from a roe. &he sides of the trianle are 2 cm" 11 cm and 31 cm.hat +ill be the area of the s4uare made from the same roe?a) 28*.62 b) 2*.62 c) 28*.12 d) 2*Solution:add all sides 2%11%31 to et roe lenth roe lenth $67"roe is made in to as

s4uareSo side of s4uare is 67/$16.7 and so area is 16.7#16.7$28*.62

2. - trianle is made from a roe. &he sides of the trianle are 21 cm" 2 cm and 28 cm.hat +ill be the area of the s4uare made from the same roe?a) 28*.62 b) 333.*62 c) 333.*12 d) **

Pattern 16:

1. hat is the distance bet+een the =intercet from the !=intercet in the e4uationa!%b0%c%d$*

Solution:intercet form e4uation

2. hat is the distance of the =intercet from the !=intercet in the e4uation a!%b0%c$d( do not remember the 'alues of a" b" c" d).

Pattern 17:

1. - scientist +as researchin on animal beha'ior in his lab. e +as 'er0 interested inanal0in the beha'ior of bear. or some reason he tra'elled 1mile in north direction Freached at 5orth >ole. &here he sa+ a bear. e then follo+ed the bear around 1 hr +ith aseed of 2,m/hr in east direction. -fter that he tra'elled in south direction F reached at hislab in2 hrs. &hen +hat is the color of the bear?

a) hite b) lac, c) Hra0 d) ro+nSolution is: hite. abo'e all the matter is nonsense

Pattern 18:

1. Iut of 7 children the 0ounest is bo0 then find the robabilit0 that all the remainin


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children are bo0sa)1/6 b)1/32 c)1/128 d)1/26

Pattern 19:

1. Jsha bouht a linen cloth and roe to build a tent. f the roe is 13 m lon and it is to

be cut into ieces of 1m lenth" then ho+ man0 cuts are to be made to cut the roes into13 ieces?a)13 b)12 c)1 d)1Solution:to ma,e it 13 ieces +e ha'e to cut 12 times so ob'iousl0 after last cut +e ot13rdiece

2. - erson has to ma,e 16 ieces of a lon bar. e ta,es seconds to cut a iece. hatis the total time ta,en b0 him in seconds to ma,e 16 ieces?a) 8 b) 8* c) 73* d) 72

Solution: 16 ieces means 1 cuts so for each cut it ta,es seconds means total time1#$8*

3. - erson has to ma,e 11 ieces of a lon bar. e ta,es 2 seconds to cut a iece. hatis the total time ta,en b0 him in seconds to ma,e 11 ieces?a) 6* b) 28* c) 112 d) 32

Pattern 20:

1. Sores of a funus" called late bliht" ro+ and sread infection raidl0. &hese athoens+ere resonsible for the rish otato famine of the mid=19th centur0. &hese seem to ha'eattac,ed the tomato cros in


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Solution: oss$ Nhane of mone0 i'en to ohn(K)%actual c0cle cost 19K$23K loss

Pattern 23:

1. - lad0 has fine lo'es and hats in her closet= 18 blue" 32 red" and 2 0ello+. &he lihtsare out and it is totall0 dar,. n site of the dar,ness" she can ma,e out the difference

bet+een a hat and a lo'e. She ta,es out an item out of the closet onl0 if she is sure that ifit is a lo'e. o+ man0 lo'es must she ta,e out to ma,e sure she has a air of each color?a) * b) 8 c) 6* d) 2Solution: am not able to ans+er this if i o in rocedure +a0 so search in net b0 searchin4uestion. etter see belo+ +ebsite

htt://+++.mmaths.com/lacement=ules.h?

O0 ans+ered 4uestions ma0 be ans+ered there.2. - lad0 has fine lo'es and hats in her closet= 1 blue" 2* red" and 18 0ello+. &he lihtsare out and it is totall0 dar,. n site of the dar,ness" she can ma,e out the differencebet+een a hat and a lo'e. She ta,es out an item out of the closet onl0 if she is sure that if

it is a lo'e. o+ man0 lo'es must she ta,e out to ma,e sure she has a air of each color?

3. - lad0 has fine lo'es and hats in her closet= 13 blue" 27 red" and * 0ello+. &he lihtsare out and it is totall0 dar,. n site of the dar,ness" she can ma,e out the differencebet+een a hat and a lo'e. She ta,es out an item out of the closet onl0 if she is sure that ifit is a lo'e. o+ man0 lo'es must she ta,e out to ma,e sure she has a air of each color?

. - lad0 has fine lo'es and hats in her closet= 2 blue" 7 red" and 9 0ello+. &he lihts areout and it is totall0 dar,. n site of the dar,ness" she can ma,e out the difference bet+eena hat and a lo'e. She ta,es out an item out of the closet onl0 if she is sure that if it is alo'e. o+ man0 lo'es must she ta,e out to ma,e sure she has a air of each color?

. - lad0 has fine lo'es and hats in her closet= 26 blue" 3* red" and 6 0ello+. &he lihtsare out and it is totall0 dar,. n site of the dar,ness" she can ma,e out the differencebet+een a hat and a lo'e. She ta,es out an item out of the closet onl0 if she is sure that ifit is a lo'e. o+ man0 lo'es must she ta,e out to ma,e sure she has a air of each color?

Pattern 24:

1. Sana,ara and >ontin selects battin b0 usin a dice" but dice is biased. So to resol'e">ontin ta,es out a coin. hat is the robabilit0 that coin sho+s correct otion?a)1/2 b)1/6 c)1/12 d)6/1*

Solution is G.

2. &here is a die +ith 1* faces. t is not ,no+n that fair or not. 2 catains +ant to toss diefor battin selection. hat is the ossible solution amon the follo+in?a) f no. is odd it is head" if no. is e'en it is tailb) f no. is odd it is tail" if no. is e'en it is headc) &oss a die until all the 1* diits aear on to face. -nd if first no. in the se4uence is oddthen consider it as tail. f it is e'en consider it as head.
http://www.m4maths.com/placement-puzzles.php?http://www.m4maths.com/placement-puzzles.php?http://www.m4maths.com/placement-puzzles.php?


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Pattern 25:

1. n a famil0 there are some bo0s and irls. -ll bo0s told that the0 are ha'in e4ual no ofbrothers and sisters and irls told that the0 are ha'in t+ice the no. of brothers thansisters. o+ man0 bo0s and irls resent in a famil0?a) bo0s and 3 irls b) 3 bo0s and irls c) 2 bo0s and irls d) bo0s and 2 irls

Pattern 26:

1. 1* men and 1* +omen are there" the0 dance +ith each other" is there ossibilit0 that 2men are dancin +ith same +omen and 'ice 'ersa?a) 22 b) 2* c) 1* d) none

2. &here are 1** men and 1** +omen on the dance floor. &he0 +ant to dance +ith eachother. &hen +hich of the follo+in statements is al+a0s true:a) &here are 2 men +ho danced +ith e4ual no. of +omen;sb) &here are 2 +omen +ho danced +ith e4ual no. of mena) both a and b b)onl0 a c)onl0 b d)none

Pattern 27:

1. Oiddle= earth is a fictional land inhabited b0 hobbits" el'es" d+ar'es and men. &hehobbits and el'es are eaceful creatures that refer slo+" silent li'es and areciate natureand art. &he d+ar'es and the men enae in h0sical ames. &he ame is as follo+s. -tournament is one +here out of the t+o teams that la0 a match" the one that loses eteliminated. &he matches are la0ed in different rounds" +here in e'er0 roundP half of theteams et eliminated from the tournament. f there are 8 rounds la0ed in ,noc, outtournament" ho+ man0 matches +ere la0ed?a) 27 b) 26 c) 72 d) 2

Solution: Qo not ,no+ erfect loic 28

2. - ame is la0ed bet+een 2 la0ers and one la0er is declared as +inner. -ll the +innersfrom first round are la0ed in second round. -ll the +inners from second round are la0edin third round and so on. f 8 rounds are la0ed to declare onl0 one la0er as +inner" ho+man0 la0ers are la0ed in first round?a) 26 b) 12 c) 6 d) 128

Pattern 28:

1. Oetal stri of +idth R!; cm. 2 metal stris are laced one o'er the other" then the combinelenth of 2 stris is R0;. f R; stris are laced in that manner. hat is the final +idth of thatarranement?

2. -" " N" Q" < are there amon -" " N are bo0s and Q" < are irls Q is to the left of - andno irl sits at the middle and at the e!temes. &hen +hat is the order of their sittins.

Pattern 29:

1. &here is 7 friends (-1" -2" -3....-7).f -1 ha'e to ha'e sha,e +ith all +ithout reeat.o+ man0 handsha,es ossible?a) 6 b) 21 c) 28 d) 7


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Solution: or handsha,es t0e 4uestion i am confirmin 0ou that if the there are n membersare thereandsha,es are i'en in linear manner $n=1(last erson cannot i'e hand sha,e to firsterson)andsha,es are i'en in c0clic manner $n(last erson can i'e hand sha,e to first erson)ut i do not ,no+ erfectl0 for reetition it is nc2

2. 9 members attended the art0. n that 22 are males" 17 are females. &he sha,e handsbet+een males" females" male and female. &otal 12 eole i'en sha,e hands. o+ man0such ,inds of such sha,e hands are ossible?a) 122 b) 66 c) 8 d)1 28

Pattern 30:

1. is taller than and 3 illars. > is shorter than and 2 illars is shorter/taller than >?a) 0es b) no c) ma0 be d) can;t find

2. &here are 1*** illars for a temle. 3 friends inda" Nhelse0" Luli 'isited that temle.(Some unrelated stuff) inda is taller than Nhelsea and taller than 2 of 1*** illars. Lulia isshorter than inda. ind the correct sentence?a) inda is shorter amon themb) Nhelsea is taller than Luliac) Nhelsea is shorter than Luliad) Nannot determine +ho is taller amon Nhelsea and Lulia

Pattern 31:

1. eter and >aul are t+o friends. &he sum of their aes is 3 0ears. >eter is t+ice as old as>aul +as +hen >eter +as as old as >aul is no+. hat is the resent ae of >eter?a) 8 b) 2* c) 16 d) 1

Pattern 33:

1. 2* men handsha,e +ith each other +ithout reetition. hat is the total number ofhandsha,es made?a) 19* b) 21* c) 1* d) 2*

2. 1* eole are there" the0 are sha,in hands toether" ho+ man0 hand sha,es ossible" ifthe0 are in no air of c0clic se4uence.

a) b) 9 c) 12 d) 1*


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Pattern 34:

1. f there are 2 +heelers and +heelers ar,ed in a school located at the heart of the cit0"find the number of +heelers ar,ed there if there +ere 2* t+o +heelers ar,ed there

a) 8 b) * c) 2 d) 6

Solution: >roceed +ith ans+er is best in 4uestion the0 +ill i'e total no of +heels

2. f there are 2 +heelers and +heelers ar,ed in a school located at the heart of the cit0"find the number of +heelers ar,ed there if there +ere 8 +heels are ar,ed therea)1* b) 33 c) 22 d) none

Pattern 35:

1. - man +hose ae is 0rs has 3 sons named Lohn" Lill" ac,. e +ent to a ar, +ee,l0t+ice. e lo'es his sons 'er0 much. In a certain da0 he found the sho ,eeers sellindifferent thins. -n ale cost 1enn0" 2chocalate costs 1enn0 F 3 bananas cost 1 enn0.e has bouht e4ual number of ale" chocolate F banana for each son. f the total amount

he in'est is 7 enn0 then ho+ man0 he has bouht from each iece for his son?a) 1a" 1cho" 1 banana b)1 a" 2cho"3 banana c)1a" 2cho" 1banana

2. Ine erson had three children. e had 7 ennies. ind the distribution of the fruitsamon the three children. - melon costs 1 enn0" 2 oranes cost 1 enn0 and 3 raes cost1 enn0a)2 melons" 1 orane" 1 rae b) 2 melons" 2 orane" 1 rae c) 1 melons" 2 orane" 1rae.

Pattern 36:

1) &he ae of the t+o friends +ere in the ration of 6:. f the sum of their aes is . &hen

after ho+ man0 0ears their ratio +ill become 8:7?a) 11 b) 7 c) 1* d) 12Solution: 6!%!$" so !$" ut first ratio after substitution is (6#)/(#) and secondratio is */3 So difference in numerators *=3*$1* 0ears

2)&he ae of the t+o friends +ere in the ration of 6:. f the sum of their aes is 66. &henafter ho+ man0 0ears their ratio +ill become 7:6?a) 11 b) 6 c) 1* d) 12

3) &he ae of the t+o friends +ere in the ration of 2:3. f the sum of their aes is . &henafter ho+ man0 0ears their ratio +ill become :?a) 11 b) 33 c) 22 d)

Pattern 37:

1) - 'olume of 1*936 l +ater is in a container of shere. o+ man0 semishere of 'olumel each +ill be re4uired to tranfer all the +ater into the small semisheres?a) 2812 b) 8231 c) 273 d) 222

Pattern 38:


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1) - erson ismanufacturin a house. e bouht 2* roes of +ire +hich has a densit0 of3** M/m3. &he heiht of the buildin to be constructed is * m. f the caacit0 of thecurrent assed in the +ire is 2* - and the 'oltae caacit0 is 8* olts. &hen +hat +ill be theoosin force to the current if the +ire is used?a) 2 b) c) 8 d) 16**

Solution: ohms la+ $T" Iosin force of current is resistance" T$'/i

Pattern 39:

1) - horse chases a on0 2 hours after the on0 runs.orse ta,es 3 hours to reach theon0.f the a'erae seed of the horse is 81Mmh.&hen +hat is the a'erae seed of theon0?a) 6. b) 1 c) 3. d) 8.6

Solution: orse ta,es 3 hours to co'er the distance>on0 ta,es 3%2 $ hours to co'er the same distance" elocit0$distance/time" distancetra'elled b0 them is e4ual it is 81#3$23,m" seed of on0$23/$8.6

3) - horse chases a on0 3 hours after the on0 runs. orse ta,es hours to reach theon0. f the a'erae seed of the horse is 3 ,mh" +hat is the a'erae seed of the on0Pattern 40:

1)&he difference bet+een t+o no is 9 and the roduct of the t+o is 1.hat is the s4uare oftheir sum?a) 12* b) 13* c) 137 d) 1

Solution: a=b$9" ab$1" (a=b)2$a2%b2=2#a#b

2) &he sum of t+o no is and the roduct of the t+o is 1.hat is the sum of theirs4uares?

3) &he sum of the s4uares of t+o no is 12 and their sum is 1.ind the roduct of the t+ono?

Pattern 41:

1) In lanet ,orba" a solar blast has melted the ice cas on its e4uator. 9 0ears after the icemelts" tin0 lanetoids called echina start ro+in on the roc,s.


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1) - man oes *Mm north " then turned left +al,ed *Mm" then turned riht ? n +hichdirection he is?a) 5orth b) South c) .- is an talian sorts car manufacturer based in Oaranello" tal0. ounded b0


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to dri'e that distance.a) 2*.72 b) .18 c) 238.2 d) 6.18

Pattern 46:

1) - sheet of aer has statements numbered from 1 to 7*. or all 'alues of n from 1 to 7*.

Statement n sa0s W -t least n of the statements on this sheet are false. Rhich statementsare true and +hich are false?a) &he e'en numbered statements are true and the odd numbered are false.b) &he odd numbered statements are true and the e'en numbered are false.c) &he first 3 statements are true and the last 3 are false.d) &he first 3 statements are false and the last 3 are false.

Pattern 47:

1) - man oes north 37,m.turns left oes 2,m.turns riht oes 17,m.turns riht oes 2,m.find distance b/+ startin endin oint.a) b) 27 c) 81 d) 67

Pattern 48:

1) f there are 3* cans out of them one is oisoned if a erson tastes 'er0 little he +ill die+ithin 1 hours so if there are mice to test and 2 hours to test" ho+ man0 mices arere4uired to find the oisoned can?a) 3 b) 2 c) 6 d) 1

Pattern 49:

1) f a and b are mi!ed in 3: ration and b and c are mi!ed in 8: ration if the final mi!tureis 3 liters" find the amount of b?-) 13.3 b) 1.73 c) 16.73 d) 9.

Solution: Sol'e for a:b:c"then b ratio is b/(a%b%c)#3

Pattern 50:

1) f +e subtract a number +ith 0" +e et increase of number" once it ot di'ided b0 0itself... ind that number??-) 13 b) 12 c) 1 d) 11

Pattern 51:

1) t is the class +ith the seatin arranement in ro+s and 8 columns. hen the teachersa0s WstartW the irl +ho is sittin in first ro+ and first column +ill sa0 1" then the ne!t irl

sittin behind her +ill sa0 " the ne!t irl sittin behind that irl +ill sa0 7" in a articularorder each irl is tellin a number" the follo+in irls told 1*" 13 ne!t turn is 0ours +hat u+ill sa0?a) 1 b) 17 c) 1 d) 16

Solution: t is a series 1" " 7" 1*" 13.

Pattern 52:


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1) t is dar, in m0 bedroom and +ant to et t+o soc,s of the same color from m0 dra+er"+hich contains 2 red and 2 blue soc,s. o+ man0 soc,s do ha'e to ta,e from thedra+er to et at least t+o soc,s of the same color?a) 2 b) 3 c) 8 d) 2

2) ad0 has 2 select lo'es F hat from a bas,et. n the dar," she can distinuish hat F

lo'es. 1 red" 2* blue" 18 reen are there. ind robabilit0 that an0 selected lo'e air hassame color.3) - lad0 had fine lo'es and hats. 2 blue" 7 red and 9 e0. She had to select a air amonthem. ut there +as no liht so she had to select in dar,ness the correct air +ith a lo'eand a hat. &herefore ho+ man0 combinations of same color she can select?Pattern 53:

1) f the alentine;s Qa0 in 2** falls on Oonda0" then on +hich da0 +ill the alentine;s Qa0fall on 2*1*?-) Saturda0 b) &hursda0 c) ednesda0 d) Sunda0

Pattern 54:

1. - erson run from - to .e too, of the time less to reach +hen comare to run atnormal Seed.&hen ho+ man0 ercentae he has increased his seed?a) * b) . c) 33.3 d) 22.2Solution: i do not ,no+ erfectl0 but i ha'e simle loic"1=(1/)$(3/)"then re'erse it so itis /3$1.333"1.33=1$33.33 li,e this

2. -n athlete decides to run the same distance in 1/th less time that she usuall0 too,. 0ho+ much ercent +ill she ha'e to increase her a'erae seed?a) * b) . c) 33.3 d) 22.2

Pattern 55:

1. n a buildin there are rooms.


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1. n a hotel +e can order t+o t0es of 'arities" but +e can ma,e 6 more 'ariteis in home.Ine can choose the four 'arities +ith t+o from hotel as must. ind ho+ man0 +a0s one canorder.a) 1 b) 1 c) 6 d) 28

Pattern 58:

1. f a ie can fill the tan, +ithin 6hrs.ut due to lea, it ta,es 3* min more. 5o+ the tan,is full then ho+ much time +ill it ta,e to emt0 the tan, throuht the lea,?a) 78 b) 6 c) 66 d) 9

Pattern 59:

1. &he bacteria has the robabilit0 of slit into 3 and robabilit0 to die is 1/3rd of the totalbacteria.et the robabilit0 is >.Some of them sur'i'ed +ith robabilit0 1/.&hen +hichamon the follo+in relation is true?a)>$1/3%1/#3 b)>$1/#(1/8=3)

2. &here is a bacteria +hich has the robabilit0 of die 1/3 of its total number or it ma0

triled. ind out the robabilit0-. >$1/3%(2/3#A3) . >$2/3%(2/3#A3) N. >$2/3%(1/3#A3) Q >$2/3%(2/3#A3)

Pattern 60:

1. &here +as a rand mother in a 'illae +ho had a rand child.Jon as,in her randchilds ae she told that she is as older as man0 da0s old as her dauhters ae in +ee,s andas man0 da0s as her o+n ae in 0ears.&he sum of the three is 13*.then ho+ old is thechild.?

Pattern 61:

1) n &.5aar the buildin +ere numbered from 1 to 1**.&hen ho+ man0 ;s +ill be resentin the numbers?a)18 b)19 c)2* d)21

2) n &naar man0 buildins +ere under residential cateor0.for buildins the0 number as 1to 1**. or shos" cororation numbered bet+een 1* and 2** onl0 rime numbers. ho+man0 time 6 +ill aear in buildin numberin?

Pattern 62:

1) -mrith told to -nand in front of a >hoto that Xe is the son of m0 father;s sonY.ind +hois in the icture if amrith ha'e no brothers and sisters.

a) -mrith himself b) -mrith;s Jncle c) -mrith;s ather d) -mrith;s son

2) Ine erson has no siblins and sa0s"Y the u0 in the hoto is the onl0 son of m0 father RssonY. hat is the relation of the u0 to the erson?

Pattern 63:

1) Ine rand father has 3 rand children t+o of the ae difference is 3.


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times the 0ounest childs ae and the eldest child ae is t+o 0ear more than the sum ofother t+o children. ind +hat is the ae of the elders child?a) 18 b) 22 c) 3* d) 1*.

Solution: there are 3 childs"let the ae of 0ouner be !"elder be 3!"so the middle one bem"3!$2%!%m"then +e ha'e a=b$3 or b=c$3"or a=c$3" then for ans+er +e ha'e to o 'ia

otions" substitute that in abo'e e4uations

2) Ine randfather has three randchildren" t+o of their ae difference is 3" eldest child aeis 3 times 0ounest child;s ae and eldest child;s ae is t+o times of sum of other t+ochildren. hat is the ae of eldest child?

3) Ine randfather has three randchildren" t+o of their ae difference is 3" eldest child aeis 3 times 0ounest child;s ae and eldest child;s ae is t+o times of sum of other t+ochildren. hat is the ae of eldest child?

Pattern 64:

1) n a school" for a student out of 1** he ot 7 of a'erae for 7 subects and he ot 79mar,s in the 8th subect. +hat is the a'erae of all the subect?a) 76.21 b) 8*.2 c) 7.26 d) 7.62Solution: &otal mar,s$7#7$18" then a'erae$(18%79)/8$7.62

Pattern 65:

1) 3 ersons a"b"c +ere there - al+a0s sa0s truth" lies on Oonda0"tusda0"F ednesda0.butN lies on thrusda0"rida0 F saturda0 .one da0 - saidYthat F N said to - thatY saidX0esterda0 +a0 one of the da0s +hen liesY"N said thatY0esterda0 +a0 one of the da0s +hen lies tooY.then +hich da0 +as that?

a) Sunda0 b) &hursda0 c) Saturda0 d) &uesda0

Pattern 66:

1) hich is the smallest no +hich di'ides 288* and i'es a erfect s4uare?a) b) 9 c) 3 d) Solution: or ans+er sol'e 'ia otions

Pattern 67:

1) o+ man0 9 diit numbers are ossible b0 usin the diits 1"2"3"" +hich are di'isibleb0 if the reetition is allo+ed?a)7 b)6 c)9 d)8

2) ho+ man0 13 diit numbers are ossible b0 usin the diits 1"2"3"" +hich are di'isibleb0 if reetition of diits is allo+ed?

3) 0 usin 1"2"3"""ho+ man0 diit no. can be formed +hich is di'isible b0 "reetation


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of no. is allo+ed??

) orm 8 diit numbers from b0 usin 1" 2"3"" +ith reetition is allo+ed and must bedi'isible b0?) o+ man0 of 1 diit numbers +e can ma,e +ith 1"2"3"" that are di'isible b0 .

Teetitions allo+ed.Pattern 68:

1) Nonsider t+o tumblers" the first containin ater and ne!t contains coffee. Suose 0outa,e one soon of +ater out of the first tumbler and our it into the second tumbler. -ftermo'in 0ou ta,e one soon of the mi!ture from the second tumbler and our it bac, intothe first tumbler . hich one of the follo+in statement holds no+?a) &here is less coffee in the first tumbler than +ater in the second tumblersb) &here is more coffee in the firs tumbler than +ater in the second tumblerc) &here is as much coffee in the first tumbler as there is +ater in the second tumblerd)5one of the statements holds true

Solution: &hin, +isel0 and ans+er these are as,ed in m0 aer 2 or 3 4uestions

2) &+o bo+ls are ta,en" one contains +ater and another contains tea.one soon of +ater isadded to second bo+l and mi!ed +ell" and a soon of mi!ture is ta,en from second bo+land added to the second bo+l. hich statement +ill hold ood for the abo'e?

Pattern 69:

1) Si! friends decide to share a bi ca,e. Since all of them li,e the ca,e" the0 bein4uarrelin +ho ets to first cut and ha'e a iece of the ca,e. Ine friend suests that the0ha'e a blindfold friend choose from +ell shuffled set of cards numbered one to si!. Couchec, and find that this method +or,s as it should simulatin a fair thro+ of a die. Couchec, b0 erformin multile simultaneous trials of ic,in the cards blindfold and thro+ina die. Cou note that the number sho+n b0 the method of ic,in u a card and thro+in areal +orld die" sums to a number bet+een 2 and 12. hich total +ould be li,el0 to aearmore often @ 8"9 or 1*?a) 8 b) -ll are e4uall0 li,el0 c) 9 d) 1*

Solution: Nalculate ho+ man0 times 8"9"1* +ill come +hen +e thro+ 2 dice" and ans+er

Pattern 70:

Z1. Hi'en a collection of oints > in the lane" a 1=set is a oint in > that can be searatedfrom the rest b0 a line" .i.e the oint lies on one side of the line +hile the others lie on theother side.

&he number of 1=sets of > is denoted b0 n1(>). &he minimum 'alue of n1(>) o'er allconfiurations > of oints in the lane in eneral osition (.i.e no three oints in > lie on aline) isa)3 b) c) 2 d)1-ns:

or belo+ 4uestions" ans+ers i am not sure +hether the0 are correct or not 0ou ha'e tosol'e urself


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Z2. &he citiens of lanet niiet are 8 finered and ha'e thus de'eloed their decimals0stem in base 8. - certain street in niiet contains 1*** (in base 8) buildins numbered 1to 1***. o+ man0 3s are used in numberin these buildins?a) b) 6 c) 26 d) 192-ns: 192

Some times base 'alue is chan li,e: 9finer" 1 to 1**(base 9)

Z3. Hi'en 3 lines in the lane such that the oints of intersection form a trianle +ith sidesof lenth 2*" 2* and 3*" the number of oints e4uidistant from all the 3 lines isa)1 b)3 c) d)*

Z. are in the other. &he hare starts after the tortoise has co'ered 1/ of its distance andthat too leisurel03. - hare and a tortoise ha'e a race alon a circle of 1** 0ards diameter.&he tortoise oes in one direction and the. &he hare and tortoise meet +hen the hare hasco'ered onl0 1/8 of the distance. 0 +hat factor should the hare increase its seed so as totie the race?a) 37.8* b)8 c) * d) -ns: 37.8*

Z. ere 1* roramers" t0e 1* lines +ith in 1* minutes then 6*lines can t0e +ithin 6*minutes. o+ man0 rorammers are needed?a) 16 b) 6 c) 1* d) 6*

Solution:(men#time)/+or,)-ns: 1*

&his t0e of ZWs reeated times for me but 'alues are different.

Z6. -lo, and hanu la0 the follo+in min=ma! ame. Hi'en the e!ression5 $ 9 % B % C = [

here B" C and [ are 'ariables reresentin sinle diits (* to 9)" -lo, +ould li,e toma!imie 5 +hile hanu+ould li,e to minimie it. &o+ards this end" -lo, chooses a sinle diit number and hanusubstitutes this for a 'ariable of her choice (B" C or [). -lo, then chooses the ne!t 'alueand hanu" the 'ariable to substitute the 'alue. inall0 -lo, rooses the 'alue for theremainin 'ariable. -ssumin both la0 to their otimal strateies" the 'alue of 5 at the endof the ame +ould bea) * b) 27 c) 18 d) 2*

&he ZWs concet is same but the e4uation of 5Ws is chanin.

Z7. -lice and ob la0 the follo+in coins=on=a=stac, ame. 2* coins are stac,ed one abo'ethe other. Ine of them is a secial (old) coin and the rest are ordinar0 coins. &he oal is to

brin the old coin to the to b0 reeatedl0 mo'in the tomost coin to another osition inthe stac,.

-lice starts and the la0ers ta,e turns. - turn consists of mo'in the coin on the to to aosition i belo+ the to coin (* $ i $ 2*). e +ill call this an i=mo'e (thus a *=mo'e imliesdoin nothin). &he ro'iso is that an i=mo'e cannot be reeatedP for e!amle once ala0er ma,es a 2=mo'e" on subse4uent turns neither la0er can ma,e a 2=mo'e. f the oldcoin haens to be on to +hen itWs a la0erWs turn then the la0er +ins the ame. nitiall0"the old coinis the third coin from the to. &hen


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a) n order to +in" -liceWs first mo'e should be a 1=mo'e.b) n order to +in" -liceWs first mo'e should be a *=mo'e.c) n order to +in" -liceWs first mo'e can be a *=mo'e or a 1=mo'e.d) -lice has no +innin strate0.-ns: d

Z8. or the - +orld cu" >aul the octous has been redictin the +inner of each match+ith amain success. t is rumored that in a match bet+een 2 teams - and " >aul ic,s -+ith the same robabilit0 as -Ws chances of +innin. etWs assume such rumors to be trueand that in a match bet+een Hhana and oli'ia" Hhana the stroner team has a robabilit0of 2/3 of +innin the ame. hat is the robabilit0 that >aul +ill correctl0 ic, the +inner ofthe Hhana=oli'ia ame?a)1/9 b)/9 c)/9 d)2/3-ns: /9

Z9. 36 eole \a1" a2" ..." a36] meet and sha,e hands in a circular fashion. n other +ords"there are totall0 36 handsha,es in'ol'in the airs" \a1" a2]" \a2" a3]" ..." \a3" a36]"\a36" a1]. &hen sie of the smallest set of eole such that the rest ha'e sha,en hands+ith at least one erson in the set is

a)12 b)11 c)13 d)18-ns: 18

Z1*. -fter the t0ist +rites 12 letters and addresses 12 en'eloes" she inserts the lettersrandoml0 into the en'eloes (1 letter er en'eloe). hat is the robabilit0 that e!actl0 1letter is inserted in an imroer en'eloe?a)1/12 b)* c)12/212 d)11/12

-ns: b

Z11. - sheet of aer has statements numbered from 1 to *. or each 'alue of n from 1 to*"

statement n sa0s ^-t least and of the statements on this sheet are true.^ hich statementsare true and +hich are false?

a)&he e'en numbered statements are true and the odd numbered are false.b)&he first 26 statements are false and the rest are true.c)&he first 13 statements are true and the rest are false.d)&he odd numbered statements are true and the e'en numbered are false.

-ns:c

Z12. &here are t+o bo!es" one containin 1* red balls and the other containin 1* reenballs. Cou are allo+ed to mo'e the balls bet+een the bo!es so that +hen 0ou choose a bo!at random and a ball at random from the chosen bo!" the robabilit0 of ettin a red ball is

ma!imied. &his ma!imum robabilit0 isa)1/2 b)1/19 c)37/38 d)3/-ns: 1/19

Z13. - circular dartboard of radius 1 foot is at a distance of 2* feet from 0ou. Cou thro+ adart at it and ithits the dartboard at some oint Z in the circle. hat is the robabilit0 that Z is closer tothe center of the circle than the eriher0?a) *.7 b) 1 c) *. d) *.2


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-ns: d

Z1. 9. - and la0 a ame of dice bet+een them. &he dice consist of colors on their faces(instead of numbers). hen the dice are thro+n" - +ins if both sho+ the same colorPother+ise +ins. Ine die has red face and 2 blue faces. o+ man0 red and blue facesshould the other die ha'e if the both la0ers ha'e the same chances of +innin?

a) 3 red and 3 blue faces b) 2 red and remainin bluec) 6 red and * blue d) red and remainin blue-ns: a

Z1. In lanet orba" a solar blast has melted the ice cas on its e4uator. 8 0ears after theice melts" tin0 lantoids called echina start ro+in on the roc,s. echina ro+s in the formof a circle and the relationshi bet+een the diameter of this circle and the ae of echina isi'en b0 the formulad $ # s4rt (t @ 8)for t $ 8here the reresents the diameter in mm and t the number of 0ears since the solar blast.Laan recorded the time of some echina at a articular sot is 2 0ears then +hat is

diameter?

a) 8 b) 16 c) 2 d) 21-ns: 16

Z16. - sheet of aer has statements numbered from 1 to *. or all 'alues of n from 1 to*" statement n sa0s: W

a) &he e'en numbered statements are true and the odd numbered statements are false.b) &he odd numbered statements are true and the e'en numbered statements are false.c) -ll the statements are false.d) &he 39th statement is true and the rest are false.

-ns: d

Z17. -lo, and hanu la0 the follo+in coins in a circle ame. 99 coins are arraned in acircle +ith each coin touchin t+o other coin. &+o of the coins are secial and the rest areordinar0. -lo, starts and the la0ers ta,e turns remo'in an ordinar0 coin of their choicefrom the circle and brinin the other coins closer until the0 aain form a (smaller) circle.&he oal is to brin the secial coins adacent to each other and the first la0er to do so+ins the ame. nitiall0 the secial coins are searated b0 t+o ordinar0 coins I1 and I2.hich of the follo+in is true?

a) n order to +in" -lo, should remo'e I1 on his first turn.b) n order to +in" -lo, should remo'e one of the coins different from I1 and I2 on his first

turn.c) n order to +in" -lo, should remo'e I2 on his first turn.d) -lo, has no +innin strate0.-ns: d

Z18. &+o ies - and fill at - certain rate is filled at 1*" 2*" *" 8*. f 1/ of if filledin 21 hours +hat time it +ill ta,e to et comletel0 filled-ns: 23


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Z19. ind a'erae seed if a man tra'els at seed of 2,mh u and 36,mh do+n at analtitude of 2**m.ormula is 2!0/(!%0).

Z2*. Ine randfather has three randchildren" t+o of their ae difference is 3" eldest childae is 3 times 0ounest child;s ae and eldest child;s ae is t+o times of sum of other t+o

children. hat is the ae of eldest child?-ns: 18

Z21. errari is leadin car manufacturer.#errari S..-.# is an talian sorts car. t haseno0ed reat success. f OohanWs errari is 3 times faster than his old Oercedes +ich a'ehim 3,mh if Oohan tra'elled 9* ,m in his ferrari the ho+ much time(hours) he too,?


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-ll the best and see 0ou in &NS.

1. Indian National Congress formed in 1885 during the Governor General ship of?Lord Dufferin

2. irst !oman president of Indian National Congress?

"nnie #esant $1%1&'

(. !ho )as the first *uslim president of Indian National Congress#adruddin +,a-ee

/. Indian National Congress held its first session in 1885 at?Go0ul Das +epal ans0rit College #om-a,

5. !hat does the affron 3olour in our National lag stand for?4enun3iation $a3rifi3e'

. +he first session of Indian National Congress )as held under the presidentship of?

!.C.#aneree

&. !hen did the irst )ar of Independen3e start?

185& *a, 168. !hen )as the 7uit India movement started?

1%/2 "ugust 8 at #om-a,%. !ho )as the founder of Indian National Congress?

"..9ume$"llan 3tavian 9ume'16. !ho said :)ara is m, -irth right and I must have it:?

#al Gangadhar +ila0

11. ;alian)ala #agh *assa3re too0 pla3e in the 3it, of?

"mritsar "pril 1( 1%1%

12. *ahatma Gandhi )as referred to as the


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1. " resolution as0ing 3omplete independen3e $oorna )ara' for India )asmoved at )hi3h session of Indian National Congress?Lahore session $1%2%' under the presiden3, of ;a)aharlal Nehru

1&. !ho )as the president of Indian National Congress at the time of Indian

Independen3e?"3har,a @ripalani

18. !ho )as the president of Indian National Congress at the time of GandhiAIr)inpa3t in *ar 5 1%(1?

;a)aharlal Nehru1%. !hi3h )as the summer 3apital of India during the #ritish rule?imla26.


25/26

2%. !ho is the founder of or)ard #lo30 formed in 1%(%?

u-hash Chandra #ose

(6. u-hash Chandra #ose )as referred to as the


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/(. 9o) man, mem-ers parti3ipated in the first meeting of Indian NationalCongress?&2

//. !hi3h )as the most de3isive )ar that mar0ed the initiation of #ritish rule inIndia?

#attle of >lasse,+he -attle o33urred on ;une 2( 1&5& at >alashi of *urshida-ad on the -an0 of#hagirathi 4iver

/5. !ho is 0no)n as the 9eroine of 7uit India *ovement ?"runa "saf "li

/. +he *ontaguAChelmsford 4eforms introdu3ed -, the #ritish Government in Indiato introdu3e selfAgoverning institutions graduall, to India in the ,ear?

1%1%/&. In )hi3h ,ear Indian National Congress 3ele-rated Independen3e Da, for thefist time?1%(6 ;anuar, 2

/8. !ho set up the )ara >art, in 1%22?

C.4.Das and *oti Lal Nehru

/%. !ho presided over 3ongress sessions three times?

Dada #hai Naoroi

56. "t )hi3h pla3e did the #ritish Government arrest Gandhii for sedition for thefirst time?

"hmeda-ad

tcs pattern with answers.rtf

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