Numerical Aptitude

8/10/2019 Numerical Aptitude

1/65

NUMERICAL

APTITUDE

GAURA

V

KUMAR

CHIR

AGJAIN


2/65

General Pattern

TCS: 30 Questions in 80

Minutes

Negative MarkingFactor- 1/3

Star Questions-

Have iger!eigtage an" asHiger NegativeMarking

L&T InfoTech :

#0 Questions in #0 Minutes 30 Questions eac in

Quantitative $%titu"e

&ogical ' $nal(tical )easoning

*er+al $%titu"e


3/65

General Pattern

Infosys: 10 Questions in

Quantitative

$%titu"e,3 Min. 1 Questions in

&ogical ' $nal(tical)easoning, Min.

0 Questions in*er+al $%titu"e,3Min.

Cognizn!:

1 Questions in Quantitative$%titu"e,1 Min.

1 Questions in &ogical ' $nal(tical)easoning,1 Min.

Questions in *er+al $%titu"e,30Min.


4/65

2o%ics

Pro+les on Po4ers 5locks 5alen"ars

Pro+les on 2rains Pro+a+ilit( &ogarits


5/65

Pro+les on Po4ers6

Questions to 7n" nit9s an" 2en9s igit M;2H +( =? te )eain"er is 0- )aise te @ase to %o4er o? 1- )aise te @ase to %o4er o? 1 - )aise te @ase to %o4er o? 3- )aise te @ase to %o4er o? 3


6/65

;>a%les

Fin" te nit9s igit o? ,3A #A BB1.

Po4ers/ )eain"er

iC / 1iiC #/ 3

iiiC B1/ 3

31D3E 3D1E B3D33

nit9s igit in te %ro"uct Dnit9s igit o? ,3AA3.D


7/65

2rick( Question

Fin" te last t4o "igits in ,1#1.383 ,1#1.181 ,25S 013.

Sortcut to 7n" last t4o "igits ?or nu+er en"ing4it 1:

Multi%l( tens "igit 4it te unit "igit in te %o4erC2akete unit "igit in te resultant %ro"uct ?ollo4e" +( 1C Here 4e ave ,1#1.383CHence A3 D 1CHence

&ast t4o "igitsD1 For ,1#1.181A1D0CHence last t4o "igits D 1

So last t4o "igits in te entire euation D 11 D8


8/65

No" so#$e yo%se#f '


9/65

Pro+les

Fin" te unit9s "igit in ,B#I 38.

iC B

iiC 0iiiC

ivC


10/65

Pro+les


iC B

iiC 0iiiC

ivC

$ns4er D


11/65

Solution


J nit9s "igit in B# D 3

nit9s "igit in 38 D #

Since B# K 38

nit9s igit D 13 -# D


12/65

Pro+les

Fin" tereain"er 4en31is "ivi"e" +(

CiC 1

iiC

iiiC 3ivC


13/65

Pro+les

Fin" te reain"er 4en 31is "ivi"e"+( C

nit9s igit o? 31 D 8

So )eain"er D 3


14/65

Pro+les

!at are te last t4o "igits o? B008L

=C 1

==C 1

===C 01

=*C 1


15/65

Pro+les

!at are te last t4o "igits o? B008L 008 is "ivisi+le +( CC+ut "oesn9t ave

re%eate" last "igits ?or ulti%les o? C

BD # E BD 01 5eck ?or ulti%les o? :

,B. D B801

=n te sae 4a( ,B.34ill also ave last "igit 01

+ecause 01A01 D01C so result o? ,B.k4ill ave last "igit 01 ?or an(

ve integer k +ecause 01A01A01A66 k ties D01C

Since 008 is ulti%le o? so ans4er is 01C


16/65

5lock Pro+les

S%ee" o? te our an" D 0C "egrees%er inute ,"%.

S%ee" o? te inute an" D "%

$t n9 o9 clock te angle o? te ouran" ?ro te vertical is 30nC

@et4een ever( t4o ours te( are

%er%en"icular to eac oter t4o tiese>ce%t +et4een to an" 8 to 10 C


17/65

5lock Pro+les

=n 0 inutes te inute an" gains inutes on te our an"C

!en te t4o an"s are at rigt angles

te( are 1 inute s%aces a%artC!en te an"s are in o%%osite"irections te( are 30 inute s%aces

a%artC


18/65

5lock Pro+les

F


19/65

;>a%les

$t 4at tie +et4een # an" 10 oclock 4ill te an"s o? aclock +e in te sae straigt line +ut not togeter L

$t # oclock our an" 1 in s%ace a%art ?ro inute an"C

$lso inute an" as gain o? ,30-1.D 1 in s%aces a%artover our an"For +ot an" to +e straigt +ut not togeter te( 4ill +e 30in s%ace a%artC

in s%ace gaine" +( in an" in 0 inC

So 1 in s%ace 4ill +e gaine" in D D ,. inC


20/65

;>a%les

$ clock is set rigt at aCC 2e clock loses 1inutes in oursC !at 4ill +e te true tie4en te clock in"icates 10 %CC on t "a(L

2ie ?ro aCC on a "a( to 10 %CC on t "a( D8# ours

3 rs inC o? tis clock D ours o? correctclock

rs o? tis clock D ours o? correct clock 8# rs o? tis clock D , > > 8#. rs o? correctclock

D #0 rs o? correct clock So te correct tie is 11 %C


21/65

No" so#$e yo%se#f '


22/65

Pro+les

Ho4 an( ties a "a( te an"s o? a clockare straigtL

a.

+. 3c.

".

e. ?. 8


23/65

Pro+les

Ho4 an( ties a "a( te an"s o? a clockare straigtL

a.

+. 3c.

".

e. ?. 8

$ns :


24/65

Pro+les

$t 4at angle te an"s o? a clock areincline" at 1 inutes %ast L

a. 3C+. 3BC

c. 38C


25/65

Pro+les

$t 4at angle te an"s o? a clock areincline" at 1 inutes %ast L

a. 3C+. 3BC

c. 38C

$ns : 3BC


26/65

5alen"ar


27/65

5alen"ar

5ounting o?


28/65

5alen"ar

No9 of:--Dys

3 6 8 2 ;

< =

a( SunMon

2ue !e" 2u Fri Sat


29/65

;>a%les

!at 4as te "a( o? te 4eek on 1t$ugust1#BL 5ounting o?


30/65

;>a%les

2o"a( is 1Bt Nove+er 01C 2e "a( o? te4eek is !e"nes"a(C !at 4ill +e te "a( o? te4eek on tis "a( a?ter 3 (earsL

2e ne>t 3 (ears 4ill ave or"inar( (ears an"1 &ea% (earC ;ac or"inar( (ear 4ill give 1 o"" "a( an" lea%

(ear 4ill give o"" "a(s 2otal o"" "a(s a?ter 3 (ears D So te "a( o? te 4eek 4ill +e o"" "a(s

+e(on" !e"nes"a( iCeC it 4ill +e Sun"a(C


31/65

No" so#$e yo%se#f '


32/65

Pro+les

2e First )e%u+lic a( o? =n"ia 4as cele+rate"on tanuar( 1#0C =t 4as :

iC 2ues"a(

iiC !e"nes"a(iiiC 2urs"a(

ivC Fri"a(


33/65

Pro+les

2e First )e%u+lic a( o? =n"ia 4as cele+rate"on tanuar( 1#0C =t 4as :

iC 2ues"a(

iiC !e"nes"a(iiiC 2urs"a(

ivC Fri"a(

$ns : 2urs"a(


34/65

Pro+les

2e last "a( o? a centur( cannot +e :

iC Mon"a(

iiC !e"nes"a(

iiiC Fri"a(

ivC 2ues"a(


35/65

Pro+les

2e last "a( o? a centur( cannot +e :

iC Mon"a(

iiC !e"nes"a(

iiiC Fri"a(

ivC 2ues"a(

$ns : 2ues"a(


36/65


37/65

Pro+les on 2rains

a k/rC D ,aA /18. /sec a /sec D ,aA 18/. k/rC

24o trains oving in o%%osite "irection 4its%ee" u /sec an" v /sec ten

relative s%ee" D , u v . /sec24o trains oving in sae "irection 4it

s%ee" u /sec an" v /sec ten i? u K v

relative s%ee" D , u - v . /sec


38/65

;>a%les

$ train running at k/r takes 0 sec to %ass a %lat?orCNe>t it takes 1 sec to %ass a an 4alking at k/r in

te sae "irection in 4ic te train is goingC Fin" telengt o? te train an" te %lat?or L

&et > D lengt o? te train ( D lengt o? te %lat?or

S%ee" o? te train relative to an D , I . k/r

D 8 k/r

D 0/3 /sec

&engt o? train D ,)elative s%ee" A 2ie.

D ,,0/3.A1. D 10

S%ee" o? train D , A /18. /sec

D 1 /sec

No4 ,> (./1 D 0 DK > ( D 300

( D 300 I 10 D 10


39/65

No" so#$e yo%se#f '


40/65

Pro+les

$ Togger running at # k/r alongsi"e arail4a( track is 0 aea" o? teengine o? a 10 long train running at

k/r in te sae "irectionC =n o4uc tie 4ill te train %ass te Togger L

iC 3C sec

iiC 18 sec

iiiC 3 sec

ivC B sec


41/65

Pro+les

$ Togger running at # k/r alongsi"e arail4a( track is 0 aea" o? te engineo? a 10 long train running at k/r

in te sae "irectionC =n o4 uc tie4ill te train %ass te Togger L

iC 3C sec

iiC 18 sec

iiiC 3 sec

ivC B sec

$ns4er : 3 sec


42/65

Solution

$ Togger running at # k/r alongsi"e a rail4a(track is 0 aea" o? te engine o? a 10 long train running at k/r in te sae"irectionC =n o4 uc tie 4ill te train %ass te

Togger LS%ee" o? train relative to Togger D , I #. k/r

D 3 k/r

D 10 /secistance to +e covere" D ,0 10.

D 30

No4 2ie taken D ,30/10. sec

D 3 sec


43/65

Pro+les

$ B0 long train running at a s%ee" o?10 k/r crosses anoter train running ino%%osite "irection at te s%ee" o? 80 k/r

in # secC !at is te lengt o? te otertrain L

iC 30 iiC 0

iiiC 30

ivC 30


44/65

Pro+les

$ B0 long train running at a s%ee" o? 10k/r crosses anoter train running ino%%osite "irection at te s%ee" o? 80 k/r in

# secC !at is te lengt o? te oter train L

iC 30

iiC 0

iiiC 30

ivC 30

$ns4er : 30


45/65

Solution

$ B0 long train running at a s%ee" o? 10k/r crosses anoter train running ino%%osite "irection at te s%ee" o? 80 k/r in

# secC !at is te lengt o? te oter train L)elative S%ee" D ,10 80. k/r

D 00 k/r

D ,00/#. /sec

&et > D &engt o? te oter train

No4 ,> B0./# D 00/#

DK > B0 D 00

DK > D 30


46/65

Pro+a+ilit(

Sa%le S%ace ,S. : Set o? all %ossi+leoutcoes o? an e>%erientC

;vent ,;.: Su+set o? a Sa%le S%aceC

Pro+a+ilit( o? occurrence o? an ;vent P,;. :P,;. D n,;./n,S.

0 >P,;. > 1

For an( events $ an" @P,$ U @. D P,$. P,@. I P,$ V @. Pro+a+ilit( o? occurrence o? an event cannot

+e ore tan 1an" is eual to 1C


47/65

Pro+a+ilit(

5oin : Has t4o %ossi+le outcoes Hea" ,H. an"2ail ,2.ice: Has %ossi+le outcoes 1 3

Pack o? 5ar"s : total car"s13 car"s o? eac Suits nael( S%a"es 5lu+s

Hearts iaon"s5ar"s o? Hearts an" iaon"s are )e" in 5olour5ar"s o? S%a"es an" 5lu+s are @lack in 5olour$ces Wings Queens acks are Face 5ar"s in

eac Suits


48/65

;>a%les

24o car"s are "ra4n at ran"o ?ro a %ack o? car"sC !at is te %ro+a+ilit( tat eiter +ot are+lack or +ot are Queens L

!e ave n,S. D 5D D 13

$ D event o? getting +ot +lack car"s@ D event o? getting +ot Queens

$ V @ D event o? getting +ot ueens o? +lack car"s

n,$. D 5D D 3

n,@. D 5D D an" n,$ V @. D 5D 1

P,$. D D P0@4D D P,$ V @. D D

P,$ U @. D P,$. P,@. I P,$ V @. D , . D D


49/65

No" so#$e yo%se#f '


50/65

Pro+les

24o "ice are tro4n togeterC !at is te%ro+a+ilit( tat te su o? te nu+ers onte t4o ?ace is "ivisi+le +( or L

iC


51/65

Pro+les

24o "ice are tro4n togeterC !at is te%ro+a+ilit( tat te su o? te nu+ers onte t4o ?ace is "ivisi+le +( or L

$ns4er :


52/65

Solution

24o "ice are tro4n togeterC !at iste %ro+a+ilit( tat te su o? tenu+ers on te t4o ?ace is "ivisi+le +(

or LHere n,S. D A D 3

; D event tat te su o? te nu+ers

on te t4o ?ace is "ivisi+le +( or n,;. D 1

P,;. D D D


53/65

Pro+les

Four %ersons are cose at ran"o ?ro agrou% o? 3 en 4oen an" cil"renC

2e cance tat e>actl( o? te are

cil"ren is :

iC


54/65

Pro+les



cil"ren is :

iC

$ns4er :


55/65

Solution



cil"ren is :S D sa%le s%ace

; D event o? coosing %ersons suc tat

o? te are cil"renn,S. D #5D D 1

n,;. D ,5A 5. D A D 0

P,;. D D D


56/65

&ogarit

log a+ D log a log + D D log a I log + log D + log a

D 1D 0

!en +ase is not given it is assue" as 10


57/65

;>a%les

=? C D 3 ten 7n" >C

!e kno4 +( cange o? +ase rule

D C

C D D 3

D 3

D 3 D

X D D


58/65

No" so#$e yo%se#f '


59/65

Pro+les

Fin" te logarit o?1B8 to te +ase o?

iC

iiC

iiiC

ivC B


60/65

Pro+les


iC

iiC

iiiC

ivC B

$ns4er :


61/65

Solution


&et > D

D 1B8 D

Hence > D


62/65

Pro+les

=? log 0C31BD0C333 an" log 0C318D0C33ten 7n" log 0C31# D

iC 0C33#iiC 0C33

iiiC 0C338#

ivC 0C33##


63/65

l i


64/65

Solution

=? log 0C31BD0C333 an" log 0C318D0C33ten 7n" log 0C31# D

Given D 0C333 an" D 0C33

2enD , - .

D 0C33#


65/65

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Numerical Aptitude

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