Aps Model Qn Paper I

8/18/2019 Aps Model Qn Paper I

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Aptitude Questions With Answers for Time & Distance Problems

1)A train covers a distance in 50 min ,if it runs at a speedof 48kmph on an average.The speed at which the train must runto reduce the time of journe to 40min wi!! "e.

1. Solution::

Time#50$%0 hr#5$%hr &peed#48mphdistance#&'T#48'5$%#40kmtime#40$%0hr#($hr *ew speed # 40' $( kmph# %0kmph

()+ikas can cover a distance in 1hr (4min " covering ($ of the distance at 4 kmph and the rest at 5kmph.the tota!distance is

2. Solution::-et tota! distance "e &tota! time#1hr(4min

A to T speed#4kmphdiistance#($&T to & speed#5kmdistance#1/($$&(1$15 hr#($ &$4 1$s $584#14$&'T'$14'# %km

)wa!king at of his usua! speed ,a man is !ate " ( 2 hr.the usua! time is.

3. Solution::

3sua! speed # &3sua! time # Tistance # *ew &peed is &*ew time is 4$ T4$ T T # 5$(T#15$( # 6 2

4)A man covers a distance on scooter .had he moved kmphfaster he wou!d have taken 40 min !ess. 7f he had moved(kmph s!ower he wou!d have taken 40min more.the distance is.

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4.Solution::

-et distance # m3sua! rate # kmph$ $ # 40$%0 hr (9) # : ;;;;1$/( $ # 40$%0 hr 9/() # ;;;;;(divide 1 < ( e=uations" so!ving we get # 40

5)>c!uding stoppages,the speed of the "us is 54kmph andinc!uding stoppages,it is 45kmph.for how man min does the "usstop per hr.

5.Solution::

ue to stoppages,it covers :km !ess.time taken to cover : km is ?:$54 '%0@ min # 10min

%)Two "os starting from the same p!ace wa!k at a rate of 5kmph and 5.5kmph respective!.wht time wi!! the take to "e8.5km apart, if the wa!k in the same direction

6.Solution::

The re!ative speed of the "os # 5.5kmph 5kmph # 0.5 kmphistance "etween them is 8.5 kmTime# 8.5km $ 0.5 kmph # 16 hrs

6)( trains starting at the same time from ( stations (00km

apart and going in opposite direction cross each other atadistance of 110km from one of the stations.what is the ratio of their speeds.

7. Solution::

7n same time ,the cover 110km < :0 km respective!so ratio of their speed #110:0 # 11:

8)Two trains start from A < and trave! towards each other atspeed of 50kmph and %0kmph resp. At the time of the meeting thesecond train has trave!ed 1(0km more than the first.the distance"etween them.8. Solution::-et the distance trave!ed " the first train "e kmthen distance covered " the second train is 1(0km$50 # 1(0 $ %0# %00so the distance "etween A < is 1(0 # 1(0 km




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:)A thief stea!s a ca r at (.0pm and drives it at %0kmph.thetheft is discovered at pm and the owner sets off in another car at 65kmph when wi!! he overtake the thief

9. Solution::-et the thief is overtaken hrs after (.0pmdistance covered " the thief in hrs # distance covered "the owner in /1$( hr %0 # 65 9 / 2)# 5$( hr thief is overtaken at (.0 pm ( 2 hr # 5 pm

10)7n covering distance,the speed of A < are in the ratioof 4.A takes 0min more than to reach the destion.The timetaken " A to reach the destinstion is.

10. Solution::

Batio of speed # 4Batio of time # 4!et A takes 4 hrs, takes hrsthen 4/ # 0$%0 hr # 2 hr Time taken " A to reach the destination is 4 # 4 ' 2 # ( hr

Coda! Daper Eor Aptitude

1) The average ages of three persons is (6 ears. Their ages are in the proportion of 15.Fhat is theage in ears of the oungest one among them.

&o! -et the age of three persons "e , and 5

// G :$ # (6 // G # :




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() The average of 11 num"ers is 50. 7f the average of first % num"ers is 4: and that of !ast % is 5(.Eindthe %th num"er.

&o! The tota! sum of 11 resu!ts # 11 ' 50 # 550

The tota! sum of first % resu!ts # % ' 4: # (:4

The tota! sum of !ast % resu!ts # % ' 5( # 1(

&ith resu!t # (:4 1( 550 # 5%

) Eind -.H.C of 85( and 14:1.

85() 14:1 91

85(

%:) 85( 91

%:

(1) %: 9

%:

0

I.H.E of 85( and 14:1 is (1

. -.H.C # 85('14:1$(1 # 5:%4

4) The sma!!est num"er which when divided " (0, (5, 5, 40 !eaves the remainder % Fhen divided "14, 1:, ( and 4 respective! is the difference "etween divisor and The corresponding remainder is %.

. Be=uired num"er # 9-.H.C of (0, (5, 5, 40) %




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# 1400/% # 1:4

5) The !east mu!tip!e of 6 which !eaves a remainder 4 when divided " %,:,15 and 18 is

-.H.C of %,:,15 and 18 is :0.

-et "e the !east mu!tip!e of 6, which when divided " :0 !eaves the remainder 4.

Then is of the form :0k 4.

*ow, minimum va!ue of k for which :0k 4 is divisi"!e " 4.

. # 4 ' :0 4 # %4

%) &um of three even consecutive num"ers is 48, and then !east num"er is

1) 1%

() 18

) (0

4) 14

&o! 4) -et the num"ers "e (n, (n( and (n4

(n 9(n() 9(n4) # 48

%n # 48/% # 4(, n # 6

Ience the num"ers are // G 14, 1% and 18

The !east num"er is 14.




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6) 7t "eing given that J 15 # .88, the "est approimation to J5$ is

1) 0.4

() 1.8:

) 1.(:

4) 1.%

KK KKK KK KK KK

&o! ) # J5$ # J5'$' # J15 $J : # J15$ # .88$ # 1.(:

8) Lf the two/digit num"ers 9those from 11 to :5, "oth inc!usive) how man have a &econd digitgreater than the first digit

1) 6

() 8

) %

4) 5

&o! ) 1( to 1: // G 8

( to (: // G 6

4 to : // G %

45 to 4: // G 5

5% to 5: // G 4

%6 to %: // G

68 to 6: // G (




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8: // G 1

:) The +a!ue of J(4 J%4 4J(8 is

&o! (4'1$( 4'1$ (8'1$4

// G 4 4 4 // G 1(

10) M / 4$5 of 5$% $ 4 1$ $ 1$5 9 $10 (1 1$5 ) is e=ua! to

&o! 1$4 4$5 ' 5$% $ 1$ $ 1$5 9 $10 10%$5 ) 9use LCA&B3->)

// G 1$4 4$% $ 1$ $ 1$5 (15$10 // G 1$1( $ 1$ ' 5 (15$10

// G 1$1( $ %5$ 4$( // G 1$1( $ 10 1(:$% // G 1$1($1$% # 1$1( ' %$1

// G 1$( # 15 1$(

1) 1 sheeps and : pigs were "ought for Bs. 1(:1.85.7f the average price of a sheep "e Bs. 64. Fhatis the average price of a pig.

&o! Average price of a sheep # Bs. 64

. Tota! price of 1 sheeps

# 964'1) # Bs. :%(




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ut, tota! price of 1 sheeps and : pigs

# Bs. 1(:1.85

Tota! price of : pigs

# Bs. 91(:1.85/:%() # Bs. (:.85

Ience, average price of a pig

# 9(:.85$:) # Bs. %.%5

1() A "atsman in his 18th innings makes a score of 150 runs and there " increasing his Average " %.Eind his average after 18th innings.

&o! -et the average for 16 innings is runs

Tota! runs in 16 innings # 16

Tota! runs in 18 innings # 16 150

Average of 18 innings # 16 150$18

. 16 150$18 # % // G # 4(

Thus, average after 18 innings # 4(

1) . Eind the I.H.E of 666 and 1146.

666) 1146 91

666




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60) 666 9(

640

6) 60 910

60

0

. I.H.E of 666 and 1146 is 6.

14) The -.H.C of two num"ers is (10 and their I.H.E is 0. 7f one num"er is (10 the Lther is

The other num"er

# -.H.C ' I.H.E$given num"er

# (10'0$(10 # 0

15) The average of 50 num"ers is 8. 7f two num"ers name! 45 and 55 are discarded, The average ofremaining num"ers is

Tota! of 50 num"ers # 50 ' 8 # 1:00

Average of 48 num"ers # 1:00/94555) $ 48

# 1800 $ 48 # 6.5




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1%) ivide 50 in two parts so that the sum of reciproca!s is 91$1(), the num"ers are

1) (0,0

() (4,%

) (8,((

4) %,14

&o! 1) -et the num"ers "e and then

N # 50. OOO9i)

1$ 1$ # 1(

1$ 1$50/ # 1$1(..Erom 9i) # 50

// G 50/$950/) # 1$1(

// G (/50%00 # 0

// G 9/0) 9/(0) # 0


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5 ears ago # (6 ears

&um of the ages of the mem"ers now

# 9(6 5) ' # :% ears

Average age of the fami! of 4 mem"ers now

# (5 ears

&um of the ages of the 4 num"ers now

# (5'4 # 100 ears

Age of chi!d # 100 :% # 4 ears

() 7n a c!ass of (0 students in an eamination in Cathematics ( students scored 100 Carks each, getPero each and the average of the rest was 40. Fhat is the average Lf the who!e c!ass

&o! Tota! marks o"tained " a c!ass of (0 students

# ( ' 100 ' 0 15 ' 40

# (00 %00 # 800

Average marks of who!e c!ass # 800$(0 # 40

). The greatest num"er, which can divide 4(, 54 and :8 !eaving the same remainder 6 in each, is

Be=uired num"er is the I.H.E of

94(/6), 954/6) and 9:8/6)

i.e., I.H.E. of 4(5, 5(6, :1

Be=uired num"er # 16




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4) The sum of two num"ers is (1% and their I.H.E is (6. The num"ers are

. -et the num"ers "e (6a and (6"

Then (6a (6" # (1%

a" # 8

+a!ue of co/primes a and " are 91,6) 9,5)

. *um"ers are 9(6'1, (6'6) # 9(6,18:)

5) The greatest num"er of 4 digits which is divisi"!e " each one of the num"er 1(,18,(1 and (8 is

Qreatest num"er of 4 digits is ::::

-.H.C of 1(, 18, (1, (8 # (5(

Ln dividing :::: " (5(, the remainder is 161

. Be=uired num"er is 9::::/161) # :8(8

%) Eour prime num"ers are arranged in ascending order according to their magnitude.Droduct of firstthree is 85 and the product of !ast three is 1001. The greatest num"er is.

1) 11

() 1

) 16

4) 1:

&o! () 85) 10019(




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660

(1) 8591

(1 91

154)(191

154

66) 1549(

154

0

Ience the product of the midd!e terms # 66

Qreatest prime num"er # 1001 $ 66 # 1.

6) 7f the s=uare root of 55%(5 is 65, then

KKKK KKKK KKKKKK

J5%(5 J5%.(5 J0.5%(5 is e=ua! to

1) 8(.(5

() 8.(5

) 80.(5

4) 6:.(5

KKKK KKKKK KKKKKK

&o! () J5%(5 # 65R J5%.(5 # 6.5R J. 5%(5 # .65

// G 656.50.65 # 8.(5




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8) Fhich of the fo!!owing integers has most num"er of divisors

1) 16%

() 18(

) ::

4) 101

&o! () 16% # (,4,8,11,1%,((,44,88

18( # (,6,1,14,(%,:1

:: # , :, 11,

101# 101

:) 10) A "o was asked to find the va!ue of $8 of a sum of mone. 7nstead of mu!tip!ing The sum "$8 he divided it " $8 and then his answer eceeded " Bs. 55. Eind the Horrect "e .

&o! -et amount "e

8$' / $8 ' # 55

// G %4 :$(4 # 55 // G 55$(4 # 55

// G # (4'55$55 # (4




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. $8 of # $8 ' (4 # Bs.:

10) A "o was asked to find the va!ue of 6$1( of a sum of mone. 7nstead of mu!tip!ing The sum "6$1( he divided it " 6$1( and thus his answer eceeded the correct Answer Bs.:5. Eind the correctanswer.

&o! -et sum # Bs. S

. 1($6 k 6k$1( # :5

// G 144k 4:k$84 # :5 // G k # 84

. 6$1( k // G 6$1( ' 84 # Bs. 4:

11) 7n a "oat (5 persons were sitting. Their average weight increased one ki!ogram when Lne mangoes and a new man comes in. The weight of the new man is 60kgs. Eind the Feight of the man who isgoing.

&o! Feight increased per person is 1 kg.

Tota! increase in weight # (5 kgs

Feight of new man is 60 kgs,

9Fhich means his weight is (5 kgs heavier)

The weight of the o!d man was 60 (5 # 45 kgs




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1) Fhat is the greatest possi"!e !ength that can "e used to measure eact! the fo!!owing -engths 6m,m 85cm, 1(m :5cm

The !ength to "e measured is

600cm, 85cm, 1(:5cm.

The re=uired !ength in cm is the I.H.E of 600, 85, and 1(:5, which is 5 cm.

14) The product of two/digit num"er is (1%0 and their I.H.E is 1(. The num"ers are

-et the num"er are 1(a and 1("

Then 1(a ' 1(" # (1%0

a" # 15

+a!ue of co/primes a and " are 91, 15) 9,5)

. The two digit num"ers are 9'1(, 5'1()

# 9%, %0)

15) The !east num"er of % digits which it eact! divisi"!e " 1(, 15 and 18 is

-east num"er of % digits is 100000

-.H.C of 1(, 15, 18, is 180.

Ln dividing 100000 " 180, the remainder is 100

. Be=uired num"er # 100000 9180/100) # 100080

1%) Two third of three fifth of one fourth of a num"er is (4. Fhat is 40 of that num"er




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1) :%

() 6(

) 1(0

4) 15%

&o! 1) !et the num"er "e , then

N of ($ of $5 of M # (4

N ' ($ ' $5 ' M # (4, # (40.

Ience 40 of (40 # 40$100 ' (40 # :%

16) Fhich of the fo!!owing has the fractions in asce

Code! paper

1.A coffee shop "!ends ( kinds of coffee,putting in ( parts of a p. a gm. grade to 1

part of a (4p. a gm.7f the miture is changed to 1 part of the p. a gm. to ( parts of

the !ess epensive grade,how much wi!! the shop save in "!ending 100 gms.

a) Bs.:0

") Bs.1.00

c) Bs..00

d) Bs.8.00




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Ans.H

(.There are (00 =uestions on a hr eamination. Among these =uestions are 50

Cathematics pro"!ems. 7t is suggested that twice as much time "e spent on each

maths pro"!em as for each other =uestion. Iow man minutes shou!d "e spent on

Cathematics pro"!ems

a) %

") 6(

c) %0

d) 100

Ans.

.7n a group of 15,6 have studied -atin, 8 have studied Qreek, and have not

&tudied either. Iow man of these studied "oth -atin and Qreek

a) 0

")

c) 4

d) 5




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Ans.

4.7f 1 # 1w$91/w), then 9(w) ( #

a) 1$4

") 1$(

c) 1

d) (

Ans.H

5.7f a and " are positive integers and 9a/")$.5 # 4$6, then

a) " U a

") " G a

c) " # a

d) " G# a

Ans. A

%.7n Vune a "ase"a!! team that p!aed %0 games had won 0 of its game p!aed.

After a phenomena! winning streak this team raised its average to 50 .Iow man

games must the team have won in a row to attain this average




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a) 1(

") (0

c) (4

d) 0

Ans. H

6.C men agree to purchase a gift for Bs. . 7f three men drop out how much more

Fi!! each have to contri"ute towards the purchase of the gift

a) $9C/)

") C$

c) C$9/)

d) $9C(/C)

Ans.

8.A compan contracts to paint houses. Cr.rown can paint a house in % das

whi!e Cr.!ack wou!d take 8 das and Cr.!ue 1( das. After 8 das Cr.rown

goes on vacation and Cr. !ack "egins to work for a period of % das.

Iow man das wi!! it take Cr.!ue to comp!ete the contract




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a) 6

") 8

c) 11

d) 1(

Ans.H

:. ( hours after a freight train !eaves e!hi a passenger train !eaves the same station

trave!ing in the same direction at an average speed of 1% km$hr. After trave!ing 4 hrs

the passenger train overtakes the freight train. The average speed of the freight train

Fas

a) 0

") 40

c) 58

d) %0

Ans.

10.7f :/#1( and /5#6 then %/( #

a) /5

") 4

c) (

d) 8




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e)

Ans.

11.7n a c!ass composed of gir!s and "os what part of the c!ass is composed of gir!s

a) $9 )

") $

c) $9 )

d) $

Ans.H

1(.Fhat is the maimum num"er of ha!f/pint "ott!es of cream that can "e fi!!ed with a

4/ga!!on can of cream 9( pt.#1 =t. and 4 =t.#1 ga!)

a) 1%

") (4

c) 0

d) %4

Ans.




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1.7f the operation,W is defined " the e=uation W # ( ,what is the va!ue of a

in ( W a # a W

a) 0

") 1

c) /1

d) 4

Ans.

14. ( hours after a freight train !eaves e!hi a passenger train !eaves the same station trave!!ing in thesame direction at an average speed of 1% km$hr. After trave!!ing 4 hrs the passenger train overtakes thefreight train. The average speed of the freight train was

9a). 09"). 409c). 589d). %0

Ans.

15. 7f a "oat is moving in upstream with ve!ocit of 14 km$hr and goes downstream with a ve!ocit of 40km$hr, then what is the speed of the stream

9a) 1 km$hr 9") (% km$hr 9c) 4 km$hr 9d) none of these

Ans. A

1%. Two trains move in the same direction at 50 kmph and ( kmph respective!. A man in the s!owertraino"serves the 15 seconds e!apse "efore the faster train comp!ete! passes " him.Fhat is the !ength of faster train

9a) 100m




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9") 65m9c) 1(0m9d) 50m

Ans.

16. 7 drove %0 km at 0 kmph and then an additiona! %0 km at 50 kmph. Hompute m average speedover m 1(0 km.

9a) 409") 6 1$(9c) (5 1$(9d) 50

Ans.

18. 7f a car starts from A towards with some ve!ocit due to some pro"!em in the engine after trave!!ing0km.7f the car goes with 4$5 th of its actuva! ve!ocit the car reaches 45min !ater to the actua! time. 7fthe car engine fai!s ofter trave!!ing 45km, the car reaches the destination %min !ate to the actua! time, what is the initia! ve!ocit of car and what is the distance "etween A and in km

9a) 40 < 1009") 10 < 1509c) (0 < 109d) 50

Ans.H

1:. Two trains are trave!!ine at e=ui!atera! .Train A is trave!!ing in the direction of earths spin.Lther train is trave!!ing in opposite direction of earths spin.Fhich trains whee!s wi!! wear firstand wh

9a) Train 9c) none of these9d) Train A

Ans. A

(0. A person, who decided to go to weekend trip shou!d not eceed 8 hours driving in a da. Averagespeed of forward journe is 40 m$h. ue to traffic in &undas, the return journe average speed is 0




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m$h. Iow far he can se!ect a picnic spot

a) 1(0 mi!es") etween 1(0 and 140 mi!es

c) 1%0 mi!es

Ans. A

(1. A person was fined for eceeding the speed !imit " 10mph. Another person was a!so fined foreceeding the same speed !imit " twice the same. 7f thesecond person was trave!ing at a speed of 5 mph, find the speed !imit.

a) (0 mph") 15 mphc) 18 mph

Ans. A

((.A "us started from "us stand at 8.00am, and after 0 minutes staing atdestination, it returned "ack to the "us stand. The destination is (6 mi!es fromthe "us stand. The speed of the "us is 18mph. 7n return journe "us trave!swith 50 fast speed. At what time it returns to the "us stand

9a) 100 am9") 10.00 am9c) 11.00 am9d) 11.0 am

Ans H

Code! Daper (

1. ivide 45 into four parts such that when ( is added to the first part, ( is su"tracted from the secondpart, ( is mu!tip!ied " the third part and the fourth part is divided " two, a!! resu!t in the same num"er.

9a) 8, 1(, 5, (09")%,10,15,119c)(,8,14,:

9d)none of these

Horrect Answer / c

(. Fhat is the sum of the first (5 natura! odd num"ers

9a)((59")1(5




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9c)5(59d)%(5

Horrect Answer / d

. Eind the nth num"er in the series is 1, /, 5, /6

9a)09")90)'9n/1)9c)9/1)'9(n/1)9d)infinite

Horrect Answer / c

4. Iow man rationa! num"ers are there "etween 0 < 5

9a)(9")19c)9d)infinite

Horrect Answer / d

5. A certain num"er of "u!!ets were shared " peop!e e=ua!!.>ach of them fired 4 "u!!ets and the sumof the remaining "u!!ets was e=ua! to the initia! share each had got.what was the initia! num"er of"u!!ets

9a)(09")18

9c)1%9d)14

Horrect Answer / "

%. Fhich of the fo!!owing are prime num"ers

9a) 11:9") 1159c) 1(69d) none

Horrect Answer / c

6). The sum of an seven consecutive num"ers is divisi"!e "

a) (") 6c)




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d) 11

Horrect Answer / "

8) 0 U U 1 which is greater

9a) 1$(9") 1$9c) 9d) (

Horrect Answer / a

:).7f 1 # 1w$91/w) ,then 9(w)( #

9a) 1$4

9") 1$(9c) 19d) (

Horrect Answer / c

10. 50 is divided into ( parts such that the sum of their reciproca!s is 1$1(. Eind the ( parts.

9a) (0,09") (4,(%9c) 8,1(9d) 40,10

Horrect Answer / "

11. A man goes from cit A to cit situated %0 kms apart " a "oat. Iis onward journe was with thestream whi!e the return journe was an upstream journe. 7t took him four and ha!f hours to comp!etethe round trip. 7f the speed of the stream is 10 km$hr, how !ong did it take him to comp!ete the onward

journe

91) hours9() .5 hours9) (.(5 hours

94) 1.5 hours

Horrect Answer / 94)

1(. An epress train trave!ing at 6( km$hr speed crosses a goods train trave!ing at 45 km$hr speed inthe opposite direction in ha!f a minute. A!ternative!, if the epress train were to overtake the goodstrain, how !ong wi!! it take to accomp!ish the task. Assume that the trains continue to trave! at the samerespective speeds as mentioned in case 1.

91) Hannot "e determined9() 0 seconds




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9) 150 seconds94) 10 seconds


1. Train A trave!ing at %0 km$hr !eaves Cum"ai for e!hi at % D.C. Train trave!ing at :0 km$hr a!so!eaves Cum"ai for e!hi at : D.C. Train H !eaves e!hi for Cum"ai at : D.C. 7f a!! three trains meet atthe same time "etween Cum"ai and e!hi, what is the speed of Train H if the distance "etween e!hiand Cum"ai is 1(%0 kms

91) %0 km$hr9() :0 km$hr

9) 1(0 km$hr94) 15 km$hr

Horrect Answer / 9)

14. A man moves from A to at the rate of 4 km$hr. Iad he moved at the rate of .%6 km$hr, he wou!dhave taken hours more to reach the destination. Fhat is the distance "etween A and

91) kms9() 1( kms9) % kms94) 144 kms

Horrect Answer / 9()

15. A ship deve!ops a !eak 1( km from the shore. espite the !eak, the ship is a"!e to move towards theshore at a speed of 8 km$hr. Iowever, the ship can sta af!oat on! for (0 minutes. 7f a rescue vesse!

were to !eave from the shore towards the ship, and it takes 4 minutes to evacuate the crew andpassengers of the ship, what shou!d "e the minimum speed of the rescue vesse! in order to "e a"!e tosuccessfu!! rescue the peop!e a"oard the ship

91) 5 km$hr 9() 6 km$hr

9) (8 km$hr94) 44 km$hr


1%. A man driving his "ike at (4 kmph reaches his office 5 minutes !ate. Iad he driven (5 faster on anaverage he wou!d have reached 4 minutes ear!ier than the schedu!ed time. Iow far is his office

91) (4 km9() 6( km9) 18 km94) ata 7nsufficient

Horrect Answer / 9)




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16. Fhen an o"ject is dropped, the num"er of feet * that it fa!!s is given " the formu!a * # 2gt( wheret is the time in seconds from the time it was dropped and g is (.(. 7f it takes 5 seconds for the o"ject toreach the ground, how man feet does it fa!! during the !ast ( seconds

91) %4.49() :%.% 9) 1%1.094) (56.%


18. 7f the whee! of a "icc!e makes 5%0 revo!utions in trave!!ing 1.1 km, what is its radius

91) 1.(5 cm 9() 6.65 cm

9) 5.15 cm94) 11.(5 cm


1:. Bajesh trave!ed from cit A to cit covering as much distance in the second part as he did in thefirst part of this journe. Iis speed during the second part was twice as that of the speed during the firstpart of the journe. Fhat is his average speed of journe during the entire trave!

91) Iis average speed is the harmonic mean of the individua! speeds for the two parts.9() Iis average speed is the arithmetic mean of the individua! speeds for the two parts.9) Iis average speed is the geometric mean of the individua! speeds for the two parts.94) Hannot "e determined.


(0. Two "os "egin together to write out a "ook!et containing 55 !ines. The first "o starts with the first!ine, writing at the rate of 100 !ines an hourR and the second starts with the !ast !ine then writes !ine 54and so on, "ackward proceeding at the rate of 50 !ines an hour. At what !ine wi!! the meet

91) 5%9() (669) 5694) (%6

Horrect Answer / 9)

Aptitude Xuestions Fith Answers for Time < istance Dro"!ems

1)A train covers a distance in 50 min ,if it runs at a speedof 48kmph on an average.The speed at which the train must runto reduce the time of journe to 40min wi!! "e.

()+ikas can cover a distance in 1hr (4min " covering ($ of




30/72

the distance at 4 kmph and the rest at 5kmph.the tota!distance is

)wa!king at of his usua! speed ,a man is !ate " ( 2 hr.

the usua! time is.

4)A man covers a distance on scooter .had he moved kmphfaster he wou!d have taken 40 min !ess. 7f he had moved(kmph s!ower he wou!d have taken 40min more.the distance is.

5)>c!uding stoppages,the speed of the "us is 54kmph andinc!uding stoppages,it is 45kmph.for how man min does the "usstop per hr.

%)Two "os starting from the same p!ace wa!k at a rate of 5kmph and 5.5kmph respective!.wht time wi!! the take to "e8.5km apart, if the wa!k in the same direction

6)( trains starting at the same time from ( stations (00kmapart and going in opposite direction cross each other atadistance of 110km from one of the stations.what is the ratio of their speeds.

8)Two trains start from A < and trave! towards each other atspeed of 50kmph and %0kmph resp. At the time of the meeting thesecond train has trave!ed 1(0km more than the first.the distance"etween them.

:)A thief stea!s a ca r at (.0pm and drives it at %0kmph.the

theft is discovered at pm and the owner sets off in another car at 65kmph when wi!! he overtake the thief

10)7n covering distance,the speed of A < are in the ratioof 4.A takes 0min more than to reach the destion.The timetaken " A to reach the destinstion is.

Answers

1. &o!utionTime#50$%0 hr#5$%hr

&peed#48mphdistance#&'T#48'5$%#40kmtime#40$%0hr#($hr *ew speed # 40' $( kmph# %0kmph

(. &o!ution




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-et tota! distance "e &tota! time#1hr(4min

A to T speed#4kmphdiistance#($&

T to & speed#5kmdistance#1/($$&(1$15 hr#($ &$4 1$s $584#14$&'T'$14'# %km

. &o!ution3sua! speed # &3sua! time # Tistance #

*ew &peed is &*ew time is 4$ T4$ T T # 5$(T#15$( # 6 2

4.&o!ution-et distance # m3sua! rate # kmph$ $ # 40$%0 hr (9) # : ;;;;1$/( $ # 40$%0 hr 9/() # ;;;;;(

divide 1 < ( e=uations" so!ving we get # 40

5.&o!utionue to stoppages,it covers :km !ess.time taken to cover : km is ?:$54 '%0@ min # 10min

%.&o!utionThe re!ative speed of the "os # 5.5kmph 5kmph # 0.5 kmphistance "etween them is 8.5 km

Time# 8.5km $ 0.5 kmph # 16 hrs

6. &o!ution7n same time ,the cover 110km < :0 km respective!so ratio of their speed #110:0 # 11:




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8. &o!ution-et the distance trave!ed " the first train "e kmthen distance covered " the second train is 1(0km

$50 # 1(0 $ %0# %00so the distance "etween A < is 1(0 # 1(0 km

:. &o!ution-et the thief is overtaken hrs after (.0pmdistance covered " the thief in hrs # distance covered "the owner in /1$( hr %0 # 65 9 / 2)# 5$( hr thief is overtaken at (.0 pm ( 2 hr # 5 pm

10. &o!utionBatio of speed # 4Batio of time # 4!et A takes 4 hrs, takes hrsthen 4/ # 0$%0 hr # 2 hr Time taken " A to reach the destination is 4 # 4 ' 2 # ( hr

Aptitude Xuestion And Answer Eor Eresher

1) 7n the first Test match "etween 7ndia and &outh Africa,&outh Africa were "ow!ed out for 84 runs intheir first innings which is their !owest score against 7ndia . what is their !owest ever score in a Testmatch

1) 0

() 5

) 4

4) 46

() Adam Qi!christ has "ecome the wicket keeper with most tet centuries. Iow man centuries.




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1) Thai!and

() Ca!asia

) *orth Sorea

4) Vapan

%) Fho is the wor!dYs oungest grandmaster

1) Bupam Sapoor

() &ohai! Shan

) Darimarjan *egi

4) &ontosh &inha

6) Fhich of the fo!!owing c!u"s won the c!u" wor!d cup Eoot"a!! Troph recent!

1) arce!ona

() 7nternationa!

) A H Ci!an

4) Hhe!sea

8) 7ndia recent! won a test match in south Africa which of the fo!!owing facts regarding it arecorrect

a) 7t was 7ndiaYs first victor in 10 test matches in &outh Africa




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") 7ndia won the match " 1( runs

c) The match was p!aed at Vohannes"urg

d) & &reesanth was dec!ared man of the match.

1) a , " and c

() " , c and d

) a , " and d

4) A!! are correct

:) &ri -anka recent! drew a test series with which of the fo!!owing teams

1) 7ndia

() *ew Ze!and

) Dakistan

4) &outh Africa

10) Fhich team was dec!ared as the soccer team of the ear (00% " E7EA recent!

1) rarPi!

() 7ta!

) Qerman

4) Erance

11) The Qerman !uur car maker Audi is p!anning to use the faci!ities of which

automo"i!es compan to assem"!e its !uur cars in 7ndia




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1) &koda

() Iundai

) Eord

4) Toota

1() A new car mode! named Teana is going to "e !aunched in/7ndia " the automo"i!e

compan of which countr

5) Vapan

%) Hhina

6) Qerman

8) 7srae!

1) Fhich watch manufacturing compan is now going to make motor cc!es

:) ICT

10) Titan

11) Caima

1() Ajanta

14) Fhich of the fo!!owing has "een named as the two whee!er design of the

ear




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1) Ionda 3nicorn

14) ajaj Ha!i"er

15) T+& star cit

1%) Sinetic !aPe

15) The 7ndia scientists have teamed up with the scientists of which countr to

find out the actua! source of rahmaputra and &ut!ej

16) Vapan

18) Dakistan

1:) Hhina

(0) Ti"et

Ans

1) ( () 1 ) ( 4) 5) 1

%) 1 6) 8) ( :) 4 10) (

11) 4 1() 1 1)1 14) 4 15)

Aptitude interview Xuestions And Answers

1) Fhich one of the fo!!owing 7ndian "irds is high! endangered species




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1) Qo!den Lrio!e

() Qreat 7ndian ustard

) 7ndian Eantai! Digeon

4) 7ndian &un"ird

() The head=uarters of the Qreen peace 7nternationa! are !ocated at

1) Amsterdam

() Han"erra

) Lttawa

4) *agasaki

) Bourke!a stee! p!ant gets its supp!ies of iron ore from

1) Seonijhar

() Caur"hanj

) e!!i/Bajhara

4) Samangundi

4) Ln which date Austra!ian !eg spinner dismissed Andrew strauss of >ng!and in the pick his 600thtest wicket

1) ecem"er (1,(00%

() ecem"er 18 ,(00%




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) ecem"er (4, (00%

4) ecem"er (% , (00%

5) 3nder whose patronage was the Sandaria Cahadeo Temp!e at Shajuraho "ui!t

1) &o!ankis

() Bashtrakutas

) Tomaras

4) Hhande!!as

%) uring the period of which of the fo!!owing was [DanchtrantraY written

1) *andas

() Cauras

) Quptas

4) &ungas

6) Fho wrote the "ook ca!!ed Sita"i/ *auras

1) Amir Shusro

() adauni

) 7"rahim Adi! &hah 77

4) A!a/ud/din ahmani




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8) Fhich one of the fo!!owing p!aces has a nuc!ear power station

1) Soradi

() Bawat"hata

) Bamagundam

4) Ta!cher

:) Fhere is the ocean current ca!!ed the [Qu!f &treamYfound

1) At!antic Lcean

() 7ndian Lcean

) *orth pacific Lcean

4) &outh pacific Lcean

10) Fhich one of the fo!!owing countries is not a permanent mem"er of the 3* &ecurit Hounci!

1) Hhina

() Erance

) Vapan

4) Bussia

11) A person c!im"ing a hi! ! "ends forward in order to

1) avoid s!ipping




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() increase speed

) reduce fatigue

4) increase sta"i!it

1() The period of revo!ution of a geostationar sate!!ite is

1) (4 hours

() 0 das

) %5 das

4) changing continuous!

1) 7f an app!e is re!eased from an or"iting spaceship. 7t wi!!

1) fa!! towards the earth

() move a!ong with the spaceship at the same speed

) move at a higher speed

4) move at a !ower speed

14) The densit of sea water increases as

1) depth and sa!init decrease

() depth decrease and sa!init increases

) depth increase and sa!init decreases

4) depth and sa!init increase




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15) Fhen a ship enters a sea from a river

1) it rises a !itt!e

() it sinks !itt!e

) it remains at the same !eve!

4) it rises or sinks depending on the materia! it is made of

Ans

1) ( () 1 ) 4) 4 5) 4

%) 6) 8) ( :) 1 10)

11) 4 1() 1 1) ( 14) 4 15) 1

Aptitude Xuestion And Answer Eor Vo" &eekers

1) Fhere was the united *ations charter signed in 1:45 at a conference

1) Qeneva

() *ew \ork

) &an Erancisco

4) Daris

() 7n which one of the fo!!owing countries did the 7ndustria! Bevo!ution take p!ace first




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1) Erance

() Bussia

) Vapan

4) Qreat ritain

) Fhich among the fo!!owing is referred to as the Contagu Hhe!msford Beforms

1) 7ndian Hounci! Act,1:0:

() Qovernment of 7ndia Act ,1:1:

) Bow!att Act

4) Qovernment of 7ndia Act,1:5

4) Ln ecem"er (1 , (00% the 3nion Ha"inet approved the sa!e of QovernmentYs remaining stakein Caruti 3dog -td at present is

1) 10.(6 per cent

() ((.(6 per cent

) 1(.6( per cent

4) 14.%6 per cent

5) Fhen fine sand is carried " wind and deposited as wind"orne sedimentar rock, it is ca!!ed

1) -oess

() ke




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) &ha!e

4) &i!!

%) Erom north to south, which one of the fo!!owing is the correct se=uence of the given hi!!s

1) Saimur Ii!!s/Cahadeo Ii!!s &atma!a Ii!!s

() Cahadeo Ii!!s/Saimur Ii!!s/&atma!a Ii!!s

) Saimur Ii!!s &atma!a Ii!!s/Cahadeo Ii!!s

4) Cahadeo Ii!!s/&atma!a Ii!!s/Saimur Ii!!s

6) According to Hensus (001,which one of the fo!!owing num"er of fema!es to ever 1000 ma!es in7ndia

1) 865

() :00

) :0

4) :%0

8) Fhich one of the fo!!owing statements is correct

1) Qpsum is a sedimentar rock

() eccan traps of peninsu!ar 7ndia are formed of granite

) -aco!iths are the !argest intrusive igneous rock "odies

4) 7n 7ndia, gneiss is found on! in the Iima!aan region




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:) Fho among the fo!!owing Cugha! ru!ers granted the >ng!ish Hompan iwani over enga!, iharand Lrissa " Treat of A!iaha"ad

1) Ahmad &hah

() A!amgir 77

) &hah A!am 77

4) Ak"ar &hah 77

10) uring the 7ndian Ereedom strugg!e, what accusation was made against Caster Amir Hhand, Awadh ihari,a! Cukund and asant Sumar iswas

1) Assassination of the commissioner of Doona

() Throwing a "om" on viceroYs procession in e!hi

) Attempt to shoot the Qovernor of Dunja"

4) -ooting an armour in enga!

11) Fhat is the su"ject of the 6rd Amendment Act of the Honstitution of 7ndia

1) efection " the Cem"ers of par!iament and Cem"ers of -egis!ative Assem"!ies from theirpo!itica! parties

() Eree and compu!sor education for the chi!dren in the age group %/14 ears

) &trong panchaati Baj 7nstitutions in the countr

4) Drotection of wi!d!ife




46/72

1() Qhatapra"ha is a tri"utar of which one of the fo!!owing rivers

1) Qanga

() 7ndus

) Qodavari

4) Srishna

1) Fhen the speed of a "od is dou"!ed. 7ts kinetic energ "ecomes

1) dou"!e

() ha!f

) =uadrup!e

4) one/fourth

14) Finding a watch is actua!! the process of storing

1) e!ectrica! energ

() pressure energ

) kinetic energ

4) potentia! energ

15) Honservation of energ means that

1) energ can "e created as we!! as destroed




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() energ con "e created "ut not destroed

) energ cannot "e created "ut can "e destroed

4) energ can neither "e created nor destroed

Ans

1) () 4 ) ( 4) 1 5) 1

%) 1 6) 8) 1 :) 10) (

11) 1() 4 1) 14) 4 15) 4

TH& Code! Xuestion Daper

+>BA- &>HT7L*

irections for =uestions 1/15 Eind the snonms of the fo!!owing words

1. Cerr

Ans. Qa, Iapp

(. A!ienate

Ans. >strange

. &o!icit

Ans. To re=uest

4. Ieap

Ans. To pi!e

5. Hargo

Ans. Ereight

%. Comentar




48/72

Ans. Transient

6. +o!ume

Ans. Xuantit

8. +eer

Ans. iverge

:. ispe!

Ans. issipate

10. Admonish

Ans. Hautious

11. Ceager

Ans. &cant

1(. -atitude

Ans. &cope

1. -atent

Ans. Dotentia!

14. Hovet

Ans. Hrave

15. iscretion

Ans. Drudence

X3A*T7TAT7+> &>HT7L*

1. 7f two penci!s cost 8 cents, then how much do 5 penci!s cost

Ans. (0 cents

(. &ome work is done " two peop!e in (4 minutes. Lne of them can do this work a!one in 40 minutes.Iow much time does the second person take to do the same work




49/72

Ans. %0 minutes

. A car is fi!!ed with four and ha!f ga!!ons of fue! for a round trip. 7f the amount of fue! taken whi!e goingis 1$4 more than the amount taken for coming, what is the amount of fue! consumed whi!e coming

"ack

Ans.( ga!!ons

4. The !owest temperature in the night in a cit A is 1$ more than 1$( the highest during the da. &um ofthe !owest temperature and the highest temperature is 100 degrees. Then what is the !ow temp

Ans.40 degrees

5. Vavaga!, who decided to go to weekend trip shou!d not eceed 8 hours driving in a da. The averagespeed of forward journe is 40 mi!es$hr. ue to traffic on &undasR the return journe]s average speed is0 m$h. Iow far he can se!ect a picnic spot

a) 1(0 mi!es

") "etween 1(0 and 140 mi!es

c) 1%0 mi!es

Ans. 1(0 mi!es

%. A sa!esperson " mistake mu!tip!ied a num"er and got the answer as , instead of dividing thenum"er " .Fhat is the answer he shou!d have actua!! got

Ans.

6. A "ui!ding with height shadow up to Q. Fhat is the height of a neigh"oring "ui!ding with a shadowof H feet

Ans. 9H')$Q

8. A person was fined for eceeding the speed !imit " 10 mph. Another person was a!so fined foreceeding the same speed !imit " twice the same. 7f the second person was trave!!ing at a speed of 5mph, find the speed !imit.

Ans. 15 mph

:. A "us started from "us stand at 8.00am, and after staing for 0 minutes at a destination, it returned"ack to the "us stand. The destination is (6 mi!es from the "us stand. The speed of the "us is 18mph.uring the return journe "us trave!s with 50 faster speed. At what time does it return to the "usstand

Ans. 11.00 am

10. 7n a miture, B is ( parts and & is 1 part. 7n order to make & to (5 of the miture, how much of B




50/72

is to "e added

Ans.Lne part of B

11. Find f!ows 1%0 mi!es in 0 min, for trave!ing 80 mi!es how much time does it re=uire

Ans. ( hrs 45 mins

1(. Fith a 4$5 fu!! tank a vehic!e can trave! 1( mi!es, how far can it trave! with a 1$ fu!! tank

Ans. 5 mi!es

1. There are two trees in a !awn. Lne grows at a rate $5 of the other in 4 ears. 7f the tota! growth oftrees is 8 ft. Fhat is the height of the sma!!er tree after ( ears

Ans. 1 1$( feet

14. Befer to the figure "e!ow. A ship started from D and moves at a speed of 7 mi!es per hour andanother ship starts from - and moving with I mi!es per hour simu!taneous!. Fhere do the two shipsmeet

^^///g///^^///h///^^///i///^^///j///^^///k///^^///!///^^

DQ I 7 V S - are the various stops in "etween denoted " ^^ . The va!ues g, h, i, j, k, ! denote thedistance "etween the ports.

Ans. "etween 7 and V, c!oser to V

15. 7f A is trave!ing at 6( km per hour on a highwa. is trave!ing at a speed of (5 meters per secondon a highwa. Fhat is the difference in their speeds in m$sec

Ans. 1 m$sec

HB7T7HA- B>A&L*7*Q &>HT7L*

The critica! reasoning section consists of some passages fo!!owed " 4 to 6 =uestions per passage. The=uestions are such that the re=uire a"i!it to read fast and comprehend. The =uestions asked in thissection have three choices TB3>, EA-&>, HA*]T &A\. &ome eamp!es of =uestions are given "e!ow.D!ease note that these passages are not the eact passages asked. The passages used a good dea! ofdifficu!t words which have "een removed in this reproduction. A!so the passages appearing in the actua!paper are much !engthier.

irections Answer the =uestions given "e!ow the passage or statement as true, fa!se or can]t sa.

DA&&AQ> A C father has no "rothers. Ie has three sisters who has two chi!d]s each.

Answer 1/5 "ased on the passage A




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1.C grandfather has two sons .

Ans. Ea!se

(. Three of m aunts have two sons

Ans. Han]t sa

. C father is on! chi!d to his father

Ans. Ea!se

4. 7 have si cousins from m mother side

Ans. Han]t sa

5. 7 have one unc!e

Ans. Han]t sa 9unc!e can "e from the mother]s side as we!!)

DA&&AQ> >ther injected into ga!!"!adder to disso!ve cho!estero! "ased ga!!stones. This tpe one datreatment is enough for ga!!stones not for ca!cium stones. This method is a!ternative to surger formi!!ions of peop!e who are suffering from this disease.

Answer =uestions %/: "ased on passage

%. Ha!cium stones can "e cured in one da

Ans. Ea!se

6. Iundreds of peop!e contain ca!cium stones

Ans. Han]t sa

8. &urger is the on! treatment to ca!cium stones

Ans. True

:. >ther wi!! "e injected into the ga!!"!adder to cure the cho!estero! "ased ga!! stones

Ans. True

DA&&AQ> H Iacking is i!!ega! entr into another computer. This happens most! "ecause of !ack ofknow!edge of computer networking. Fith networks one machine can access to another machine.Iacking go a"out without knowing that each network is accredited to use network faci!it

Answer =uestions 10/1( "ased on passage




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10. Iackers never "reak the code of the compan which the work for

Ans. Han]t sa

11. Iacking is the on! vu!nera"i!it of the computers for the usage of the data

Ans. Ea!se

1(. Iacking is done most! due to the !ack of computer know!edge

Ans. Ea!se

DA&&AQ> H A!pine tunne!s are c!osed tunne!s. 7n the past 0 rs not even a sing!e accident has "eenrecorded for there is one accident in the rai! road sstem. >ven in case of a fire accident it is possi"!e toshift the passengers into adjacent wagons and even the !ive fire can "e detected and etinguished within the duration of 0 min.

Answer =uestions 1/1% "ased on passage H

1. *o accident can occur in the c!osed tunne!s

Ans. True

14. Eire is a!!owed to !ive for 0 min

Ans. Ea!se

1%. A!! the care that trave! in the tunne!s wi!! "e carried " rai! shutters.

Ans.True

DA&&AQ> 7n the past he!icopters were forced to ground or crash "ecause of the formation of the iceon the rotors and engines. A new e!ectronic device has "een deve!oped which can detect the watercontent in the atmosphere and warns the pi!ot if the temperature is "e!ow freePing temperature a"outthe formation of the ice on the rotors and wings.

Answer =uestions 16/(0 "ased on passage

16. The e!ectronic device can avoid formation of the ice on the wings

Ans.Ea!se

18. There wi!! "e the ma!function of rotor < engine "ecause of formation of ice

Ans.True

1:. The he!icopters were to "e crashed or grounded




53/72

Ans.True

(0. There is on! one device that warn a"out the formation of ice

Ans.True

DA&&AQ> > 7n the surve conducted in Cum"ai out of % new! married house wives not a sing!ehouse wife fe!t that the hus"ands shou!d take e=ua! part in the househo!d work as the fe!t the !oosetheir power over their hus"ands. 7n spite of their careers the opt to do the kitchen work themse!vesafter coming "ack to home. The wives get ha!f as much !eisure time as the hus"ands get at the weekends.

Answer =uestions (1/( "ased on passage >

(1. Iousewives want the hus"ands to take part e=ua!! in the househo!d

Ans.Ea!se

((. Fives have ha!f as much !eisure time as the hus"ands have

Ans. Ea!se

(. : of the men wi!! work e=ua!! in the house in c!eaning and washing

Ans. Ea!se

DA&&AQ> E Hopernicus is the inte!!igent. 7n the das of Hopernicus the transport and techno!ogdeve!opment was !ess < it took p!ace weeks to communicate a message at that time, wherein we cansend it through sate!!ite with in no time. >ven with this fast deve!opment it has "ecome difficu!t tounderstand each other.

Answer =uestions (4/(6 "ased on passage E

(4. Deop!e were not inte!!igent during Hopernicus das

Ans.Ea!se

(5. Transport faci!ities are ver much improved in now a da

Ans.Han]t sa

(%. >ven with the fast deve!opments of the techno!og we can]t !ive happi!.

Ans. Han]t sa

(6. Fe can understand the peop!e ver much with the deve!opment of communication




54/72

Ans. Ea!se.

DA&&AQ> Q &enior managers warned the workers that "ecause of the introductor of Vapaneseindustr in the car market. There is the threat to the workers. The a!so said that there wi!! "e the

reduction in the purchase of the sa!es of car in pu"!ic. the interest rates of the car wi!! "e increased withthe !oss in demand.

Answer =uestions (8/1 "ased on passage Q

(8. Vapanese workers are taking over the jo"s of 7ndian industr.

Ans.Ea!se

(:. Canagers said car interests wi!! go down after seeing the raise in interest rates.

Ans.True

0. Vapanese investments are ceasing to end in the car industr.

Ans. Ea!se

1. Deop!e are ver interested to "u the cars.

Ans.Ea!se

DA&&AQ> I 7n the Tota!itarian das, the words have ver much deva!ued. 7n the present da, the are"ecoming domestic that is the words wi!! "e much more deva!ued. 7n those das, the words wi!! "e vermuch affected in po!itica! area. "ut at present, the words came ver cheap .Fe can sa the come freeat cost.

Answer =uestions (/4 "ased on passage I

(. Tota!itarian societ words are deva!ued.

Ans.Ea!se

. Tota!itarians wi!! have to come much a"out words

Ans.True

4. The art tota!itarian societ the words are used for the po!itica! speeches.

Ans. Ea!se

DA&&AQ> 7 There shou!d "e copright for a!! arts. The ree! has came that a!! the arts has come underone cop right societ, the were use the mone that come from the arts for the deve!opments . Therema "e a !ot of mone wi!! come from the Tagore works. Fe have to ask the "enifiters from Tagore workto he!p for the deve!opment of his works.




55/72

Answer =uestions 5/: "ased on passage 7

5. Tagore works are come under this cop right ru!e.

Ans. Ea!se

%. Deop!e are free to go to the pu"!ic "ecause of the cop right ru!e.

Ans Han]t sa

6 Deop!e gives to theater and co!!ect the mone for deve!opment.

Ans Han]t sa

8 Fe have asked the Tagore residents to he!p for the deve!opments of art.

Ans Han]t sa

D&\HILC>TB7H T>&T

\ou don]t need to fret much a"out this test. This test consists of 150 =uestions and is just a pscho!ogtest which shou!d "e answered confident! and doesn]t re=uire an preparation. Lne must tr "eingconsistent whi!e answering as the same =uestions are repeated! asked in different forms. A!so onemust answer a!! =uestions. Xuestions are of es, no or can]t sa kind.

1. Fi!! ou "e interested in socia! activities

(. Fhi!e going upstairs do ou move two steps at a time

. Han ou make friends with peop!e of the same se or with opposite se a!so

4. \our friends consider ou as a !eader in our group

5. Deop!e think that ouYre serious minded.

%. There are times ou fee! du!! without an reason.

6. \ou host severa! parties

8. Fhen re!atives come to our house do ou entertain them

:. \ou can work for !ong hours without tiredness.

10. 7n our compan ou want to !ead the organiPation.

Aptitude Cateria! / Fith &o!utions




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1) A "o was asked to find the va!ue of 6$1( of a sum of mone. 7nstead of mu!tip!ing The sum " 6$1(he divided it " 6$1( and thus his answer eceeded the correct answer Bs.:5. Eind the correctanswer.

&o! -et sum # Bs. S

. 1($6 k 6k$1( # :5

// G 144k 4:k$84 # :5 // G k # 84

. 6$1( k // G 6$1( ' 84 # Bs. 4:

() The va!ue of M 1$4. 1$4.( 1$4. correct to four p!aces of decima!s is

&o! M 1$1( 1$% 1$108 # (6:1$108

// G 40$108 // G 10$(6

# 0.604

) 7f ($rd of a num"er is su"tracted from 6$ of the num"er, the resu!t is ( more than the num"er itse!f.Eind the num"er.

&o! -et the num"er "e k

. 6$ k ($ k # k( // G 5$ k # k(




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// G ($ k # ( // G #

4) &imp!if .6'.6(.'(.('.6'(. $ 4.%'4.%/.4'.4

&o! // G 9.6 (.)( $ 94.% .4) 94.% .4)

// G %$8'1.( // G %$:.% # %0$:% #

5) Three num"ers are in the ratio 45. The sum of the !argest and the sma!!est e=ua!s the &um of thethird and 5(. The sma!!est num"er is

&o! -et the num"ers "e , , P

. $ # $4 # P$5 # k

. # k, # 4k, P # 5k

. k 5k# 4k 5(

// G k # 1

. &ma!!est num"er # :

%) Lf the three num"ers, second is twice the first and a!so thrice the third. 7f the average of the threenum"ers is 44, the !argest num"er is 9)

1) (4




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() %

) 6(

4) 108

&o! -et the rd num"er "e , Then, second num"er #

. Eirst num"er # $(

. $( # 944')

// G 11$( # 1( // G # (4

-argest num"er // G

// G '(4 # 6(

6) The !east num"er of five digits which is eact! divisi"!e " 1(, 15 and 18 is

1) 10010

() 10015

) 100(0

4) 10080

&o! -east num"er of 5 digits is 10000.

-.H.C of 1(, 15, 18 is 180

Ln dividing 10000 " 180, the remainder is 100.

. Be=uired num"er # 10000 9180 100) # 10080




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8) &imp!if ($ $ 4$: of 6 2 ::: 4:4$4:5 ' ::

1) :::::

() 10000

) ::000

4) 11111

&o! ($ $ 4$: of 15$( 9::: 4:4$4:5) ' ::

# ($ $ 10$ :::':: 4:4$4:5 ' ::

# ($ ' $10 91000 1) :: 4:4$4:5 ' ::

# 1$5 ::000 :: 4:4$5

# 4:4$5 ::000 :: # ::000

:) 7f a$( # "$ # c$5, the va!ue of a"c$c is

1) (

() 5

) 2

4) 1$5

&o! a$( # "$ # c$5 # k




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// G a # (k, " # k, c # 5k

. a"c$c # (kk5k$5k # 10k$5k # (

10) &imp!if ( 2 of ' 2 $$( 2 $ $( 9($ 2 of ($) to get

1) 1 5$8

() ( 5$8

) 1 8$11

4) 5$8

&o! 1) ( 2 of ' 2 $ $( 2 $ $( 9($ 2 of ($)

// G 95$( ' ) ' 2 ' ($ 2 ' ($ ' 9($ 2 ' ($)

// G 15$8 ' 1$ 1$ ' ? 9 ($ 1$ )@

// G 15$8 ' 1$ 1$ ' ?9($/ 1$) @

// G 5$8 1$ $ 1$

// G 5$8 1 # 1 5$8

11) 7f a # 1% and " # then a("(a"$a/" wi!! "e

1) 11

() 1$11




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) 1(1

4) *on

&o! 1) 1%(5(80 $ 1%/5 # (5%(580$40:%/1(5

# %1$:61 # 1$11

1() Eind the sma!!est num"er which when divided " %,10 and 15 respective! !eaves 5 as Bemainder ineach case

&o! -.H.C of %,10,15 // G 0

Be=uired num"er #0 5 # 5

1) 7f 1$rdof a num"er su"tracted from 2 of that num"er, then the difference is 10more Than 1$6th ofthe same num"er. Iow much is that num"er

&o! -et the num"er #

. $( $ # $6 10

// G /($% # $610

// G $% $6 # 10

// G6/%$4( # 10 // G # 4(0




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14) 7f we mu!tip! a fraction " itse!f and divide the product " its reciproca!R the fraction Thus o"tainedis 15 5$8. The origina! fraction is

&o! -et the origina! fraction "e $

N$ '$$$ # 15 5$8

// G $ ' $ ' $ #1(5$8

// G $ # 1(5$8

KKKK

G $ # J1(5$8 # 5$( # ( 1$(

15) Eind the I.H.E. of 85(, 10%5 and 14:1.

&o! 85() 10%591

85(

(1) 85( 94

85(

0

(1) 14:196

14:1

0




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Ience (1 is I.H.E of given num"ers.

1%) Eind the greatest num"er which divides 4%0 and :80 !eaving as remainder : and 1 respective!.

&o! &ince on dividing 4%0 remainder : is !eft, the re=uired num"er must divide 94%0/:) # 451eact! . &imi!ar! it must divide :80 1 # :%6 eact!. Ience I.H.E of :%6 and 451 wi!! "ere=uired num"er

Aptitude Xuestion And Answer Eor Vo" &eekers

1) Voe ar"era who died recent! at an age of :5 was famous for

1) Ie was the first defence secretar of 3&A

() Ie had won *o"e! DriPe twice

) Ie was a famous cartoonist who designed Tom < Verr

4) Ie was the first American to c!im" Ct.>verest

() Fhich of the fo!!owing was voted as the "est H documentar

1) eing American

() eing 7ndian

) eing Dakistani

4) eing ritish

) Fhich is going to "e the seventh and the fina! "ook of the Iarr potter series




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1) Iarr meets his end

() Iarr potter The !ast destination

) Iarr potter and the eath! Ia!!oms

4) Iarr potter and the fina! countdown

4) Fho is the author of the "ook _ou can hea! our !ife`

1) -ouise - Ia

() &tephen Bo"erts

) Fi!!iam a!rmp!e

4) Bo"ert Horps

5) Vignesh &hah, the H>L of which of the fo!!owing companies has won the 3& 7ndia"usinessman award

1) Tata &tee!

() harti Airte!

) Einancia! Techno!ogies Qroup

4) *one of these

%) Fho is the author of the "ook _The of >vering The Lrigin and Eate of The 3niverse

1) Fi!!iam a!rmp!e

() &tephen Iawkings




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) &tephen Bo"erts

4) -ouise - Ia

6) Fho was the vice president of *AA& HLC who died recent!

1) Siran Sarnick

() &uni! Cehta

) Ani! Sumar

4) *one of these

8) Fho is the author of the "ook, _Citha A Iand"ook of Iindu Ctho!og`

1) evdutt pattanaik

() &amir &inha

) Amrita Dritam

4) Bishi &hankar

:) Fho is the author of the "ook, _Ce A Iand"ook Eor -ife`

1) Bavi &hekhar

() Canish &inha

) Baksha haradia

4) Amrita pitam




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10) Fhat is the profession of Hhitra harucha, who is going to "e the net head of H

1) Actor

() octor

) >ngineer

4) Friter

11) According to a recent surve which state was e!ected to have !argest area under forest 91)

1) ihar

() Assam

) Cadha pradesh

4) Sera!a

1() Fho is going to "e the new eecutive managing director of g!o"a! rea! estate consu!tanc firmHushman and wakefie!d

1) *andan *i!ekaru

() &uresh Cehta

) &anja +erma

4) Dawan &hrivastava

1) 7n the -ine of Eire A Cemoir is the auto"iograph of which of the fo!!owing persona!ities




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1) Qenera! V.V &ingh

() Haptain +ikram atra

) Qeorge Eernandes

4) Qen.perveP Cusharraf

14) Fhich of the fo!!owing p!aces was the venue for the 14th *AC &ummit

1) Iavana

() Coscow

) *ew e!hi

4) 7s!ama"ad

15) Fho among the fo!!owing is the winner of the Qandhi 7nternationa! peace priPe for the ear (00%

1) esmond Tutu

() &a"ana APmi

) *e!son Cande!a

4) Cuhammad \unus

Ans

1) () ( ) 4) 1 5)

%) ( 6) ( 8) 1 :) 10) (

11) 1() 1) 4 14) 1 15)




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Xuatitative Aptitude Code! Daper / (

1. %, (4, %0,1(0, (10

a) % ") %% c) 0 d) %%0

Answer a) %>p!anation The series is 1.(., (..4, .4.5, 4.5.%, 5.%.6, ..... 9 ].] means product)

(. 1, 5, 1, (5

Answer 41>p!anation The series is of the form 0W(1W(, 1W((W(,...

. 0, 5, 8, 16

Answer (4

>p!anation 1W(/1, (W(1, W(/1, 4W(1, 5W(/1

4. 1, 8, :, %4, (5 9Iint >ver successive terms are re!ated)

Answer (1%>p!anation 1W(, (W, W(, 4W, 5W(, %W

5. 8,(4,1(,%,18,54

Answer (6

%. 61,6%,%:,64,%6,6(

Answer %6

6. 5,:,1%,(:,54 Answer 10>p!anation 5'(/1#:R :'(/(#1%R 1%'(/#(:R (:'(/4#54R 54'(/5#10

8. 1,(,4,10,1%,40,%4 9&uccessive terms are re!ated) Answer (00>p!anation The series is powers of ( 9(W0,(W1,..).

A!! digits are !ess than 8. >ver second num"er is in octa! num"er sstem.1(8 shou!d fo!!ow %4. 1(8 "ase 10 # (00 "ase 8.

:. ,5,6,1(,1,16,1: Answer 1(>p!anation A!! "ut 1( are odd num"ers

10. (,5,10,16,(%,6,50,%4 Answer %4>p!anation (#5R 55#10R 106#16R 16:#(%R (%11#6R 61#50R 5015#%5R

11. 105,85,%0,0,0,/45,/:0




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Answer 0>p!anation 105/(0#85R 85/(5#%0R %0/0#0R 0/5#/5R /5/40#/45R /45/45#/:0R




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Quatitative Aptitude Model Paper - 3

1. What is the number of zeros at the end of the product of the numbers from 1 to 100?Answer : 127

2. A fast typist can type some matter in 2 hours and a slow typist can type the same in 3 hours. f bothtype combinely! in how much time will they finish?Answer : 1 hr 12 min"#planation : $he fast typist%s wor& done in 1 hr ' 1(2$he slow typist%s wor& done in 1 hr ' 1(3f they wor& combinely! wor& done in 1 hr ' 1(2)1(3 ' *(+,o! the wor& will be completed in +(* hours. i.e.! 1)1(* hours ' 1hr 12 min

3. -aas&ar%s aera/e in his first *0 innin/s was *0. After the *1st innin/s! his aera/e was *1. owmany runs did he score in his *1st innin/s. supposin/ that he lost his wic&et in his *1st innin/sAnswer : 101"#planation : $otal score after *0 innin/s ' *0*0 ' 2*00$otal score after *1 innin/s ' *1*1 ' 2+01

,o! runs made in the *1st innin/s ' 2+0142*00 ' 101f he had not lost his wic&et in his *1st innin/s! he would hae scored an unbeaten *0 in his *1st innin/s.

5. 6ut of 0 coins! one is counterfeit. What is the minimum number of wei/hin/s needed to find out thecounterfeit coin?Answer : 5

*. What can you conclude from the statement : All /reen are blue! all blue are red. ?i some blue are /reenii some red are /reeniii some /reen are not redi all red are bluea i or ii but not bothb i 8 ii only

c iii or i but not bothd iii 8 i

Answer : b

+. A rectan/ular plate with len/th inches! breadth 11 inches and thic&ness 2 inches is aailable. What isthe len/th of the circular rod with diameter inches and e9ual to the olume of the rectan/ular plate?Answer : 3.* inches"#planation : olume of the circular rod cylinder ' olume of the rectan/ular plate22(755h ' 112h ' 7(2 ' 3.*

7. What is the sum of all numbers between 100 and 1000 which are diisible by 15 ?Answer : 3*3;2

"#planation : $he number closest to 100 which is /reater than 100 and diisible by 15 is 112! which is thefirst term of the series which has to be summed.$he number closest to 1000 which is less than 1000 and diisible by 15 is ;;5! which is the last term ofthe series.112 ) 12+ ) .... ) ;;5 ' 15);) ... ) 71 ' 3*3;2

. f sa denotes s9uare root of a! find the alue of s12)s12)s12) ...... upto infinity.Answer : 5"#planation :


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Quatitative Aptitude Model Paper -

1. $he diameter of the driin/ wheel of a bus is 150cm. ow many reolutions per minute must the wheelma&e in order to &eep a speed of ++ &mph?

Ans. 2*0

,ol. >istance to be coered in 1 min'++1000(+0 m'1100mircumference of the wheel '222(70.70m'5.5m.,o! @umber of reolutions per min'1100(5.5'2*0.

2. ie& traelled 1200&m by air which formed 2(* of his trip.6ne third of the whole trip ! he traelled bycar and the rest of the ourney he performed by train. $he distance traelled by train was ?

Ans.00&m

,ol:


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$herefore! +(* of usual time G usual time ' 10min$herefore Hsual time ' *0min

7. A train runnin/ at *5 &mph ta&es 20 seconds to pass a platform. @e#t it ta&es 12 seconds to pass aman wal&in/ at + &mph in the same direction in which the train is /oin/. Find the len/th of the train andthe len/th of the platform.

Ans. len/th of the train'1+0mlen/th of the platform'150 m.

,ol:

Aps Model Qn Paper I

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