1) The probability of getting at least one tail in 5 throws of a coin is?
a)1/32
b)31/32
c)1/5
d)None of the above
2) When a local train travels at a speed of 6!"ph# it reaches the destination on ti"e$ When the
sa"e train travels at speed of 5!"ph# it reaches its destination 15 "in%tes late$ What is the length of &o%rney? a)'5!" b)5!" c)6!" d)(5!" 3)ive the greatest pair of twin pri"es which are below 1?
a)'1#'3
b)*3#*5
c)*'#**
d)('#(*
4) +n an e,a"ination involving -%antitative aptit%de and logical reasoning# 65. e,a"inees
cleared -%antitative aptit%de test while '. cleared logical reasoning test$ +f 5. e,a"inees passed both the tests# then how "any failed in both tests? a)35. b)15. c)3. d)2. 5) s%" of "oney triples itself at co"po%nd interest in3 years$ +n * years it will be
a)6 ti"es the principal ti"es the principal
b)12 ti"es the principal
c)1( ti"es the principal
d)2'
6) Three friends erard# 0%ney and 0onaldo 0onaldo wor! together to dig a hole$ erard alone can
co"plete the wor! in 1 days and together all three can co"plete it in days$ They earn a total of 0s$1#2$ ind ind the share of 0%ney if the "oney that they receive receive is proportional to the wor! that they do? a)0s ( b)0s 165$51 c)0s 5 d)0s 6 7) The n%"ber which sho%ld be s%btracted fro" 5a 23ab4'b2 to "a!e it e-%al to a 24ab4b2 #is
a)a2ab46b2 e)None of the above
b)a2ab45b2
c)a24ab46b2
d)a23ab46b2
8)iven that the interest is only earned on principal# if an invest"ent of 0s$1$ a"o%nt to
0s$1$ in two years# then what is the rate of interest earned? a)2. b)22. c)21. d)11.
e).
9)+f n57n# then 8nd the val%e of n$
a)n7
b)n 71
c)n75
d)n71
10) bag contains 5 oranges# bananas and 3 apples$ 0ohit wants to eat a banana or an
apple$9e draws a fr%it fro" the bag rando"ly$ What is the probability that he will get a fr%it of this choice? a)3$5/12 b)'/12 c)5/12 d)None of the above 11) single letter is drawn at rando" fro" the word$:;<+0T+=N:# the probability that it is a
vowel is? a)1/2
b)1/3
c)3/5
d)2/5
12) The n%"ber of ways ways in which 15 15 st%dents 1#2#15 1#2#15 can be ran!ed# s%ch s%ch that is always always above ( is a)15> b)13> c)15>/2 d)13>/2
13);%parna 13);%parna needs to browse thro%gh '5pages '5pages of a novel before she gives her review to the class$ ;he has 2$5 hrs before the lect%re$ What sho%ld be her reading speed in pages/ho%r? a) 16 b)3 c) 2 d) 22 1) The val%e of log 1$1 is a) b) 1 c) 1 d) 1
15) written e,a" consists of 6 -%estions with the answer options as yes/no/none$ +n how "any ways can the e,a"inees select the answers? a) 6
p3
ways b) 6
c3
ways c) 3
c1
$3
c1
$3
c1
$3
c1
$3
c1
d) 3
c1 ¿
6
16) What is the s%" of the two consec%tive n%"bers# +f the di@erence of whose s-%ares is 1*? a$ * b$ 1 c$ 1( d$ 1* 1') < is an integer$
/5> 2') Ea%li p%rchased a designer saree fro" E%"bai at (/* th of its E0<$ When she ca"e bac! to Felhi# her neighbo%r coa,ed "a%li to sell the saree to her$ ;he was even ready to pay *. "ore than its E0<$ What wo%ld Ea%liGs gain percentage be# if she decides to sell the saree to her neighbo%r? 1$ 15$5*. 2$ 16$61. 3$ 2$36. $ 22$65. 2() goods carriage of length 2!"# headed to ;rinagar fro" <%n&ab was r%nning at a speed of 3 !"/hr$ +t crosses a t%nnel which is 5( !" long with that speed$ ind the ti"e ta!en by the goods carriage to cross the t%nnel? 1$ ho%rs 2$ 3 ho%rs 3$ 2 ho%rs $ 1 ho%r 2*) l%c!y draw is organiHed as part of the 8rst anniversary celebration of new ge o"pany$ There are 25 chits in a bowl one for each e"ployee and the chits are "ar!ed fro" 125$ ;ari!a and 0a&esh have chits "ar!ed with n%"bers that are "%ltiples of 3 or '$ They want to !now if there are chances of the" being awarded the trip to oa which is the 8rst priHe of the l%c!y draw$ When one chit is drawn at rando"# what is the probability that the chit has a n%"ber which is a "%ltiple of 3 or '? 1$ 3/25 2$ 2/11 3$ 11/25 $ 1/25 3) What is the loss percentage inc%rred by a co"pany when it b%ys an asset for 0s$ 1#5# and sells it for 0s$ '5#5? 1$ *$6'. 2$ *$3. 3$ *($6(. $ *($3. 31) +f 0%parno is e,pected to spend 0s$ 2#3 on electricity bill in the 8rst 3 "onths of the year# what a"o%nt can he be e,pected to spend on electricity bill for the rest of the year? 1$ 0s$ 5# 2$ 0s$ 5#' 3$ 0s$ 6#2 $ 0s$ 6#*
32) =%t of every 1 people in police depart"ent# 1 are wo"en$ =%t of every 1 people in "ilitary forces# 3 are wo"en$ +n a batch of 1( police personnel and 2 ar"y personnel# how "any of the" wo%ld be wo"en? 1$ 2 2$ 3 3$ 1( $ 6 33) 6>
2$ > >
3$ > 5>
$ *>
5$ 1
c5
5> >
35) person forgets two digits of %ser +F for a website$ 9e re"e"bers that two digits are odd$ What is the probability of hi" typing the correct last digits by rando"ly typing 2 odd digits? 1/25) 1/5) 1/2) 2/5) 36) ive the greatest pair of twin pri"e which are below 1? '1#'3 *3#*6 *'#** ('#(* 3') +n how "any ways a panel of 5 st%dents be selected fro" ( !ids if a partic%lar st%dent be incl%ded? 36 51 '1 21 3() wo"an sold 15 bead sheets for 0s 15#$ 9ence gaining the cost of 5 bed sheets$ The cost per sheet is$ *6 ''5 1 ( '5 3*) it% and rash"i were playing l%do$ a"e and starts when one gets 6 in two consec%tive throws of dice$ What is the probability that git% can start the ga"e in 8rst chance? 1/6 1/36 5/6 5/36 ) vendor bo%ght 15 oranges at 0s$ 36 for 5 oranges and sold all of the" at fo%r oranges for 0s$ 5$ 9ow "%ch did the vendor earn or loose in this transaction? Doses 0s$$5 per orange gains 0s$$5 per orange gains 0s$6 overall Doses 0s$5$6 per orange gains 0s$'5$* overall 1) The length of the rectangle varies inversely with its width$ +f the length of the rectangle is 6 feet and width is 2 feet 8nd the length of the rectangle when its width is feet? 36 feet 1 feet 25 feet 2feet 2) ;%" of "oney triples its self at co"po%nd interest in 2 years$ +n * years it will be$ 6 ti"es the principle 12 ti"es the principle 1( ti"es the principle 2' ti"es the principle 3) Nitish sold his watch and s%n glassesat a loss of . and gain of . respectively for 26 to Ja"al$ Ja"al sold the sa"e s%n glasses and watch at a loss of . and gain of . respectively for 2'$ The price of watch and s%n glasses to Nitish were$ 0s$1*6# 0s$') 0s$2# 0s$1) 0s$15# 0s$') 0s$(# 0s$2) )
2555'5 2565656'5 256535'5 256565'5 () to%rist has strayed fro" his path while on his way to his hotel$ 9e "oves 2(!" towards so%th# then he "oves 2!" towards west# then !" north and then 2!" towards east to reach his hotel$ What is the distance of shortest possible ro%te? 5 !" 2!" 1(!" 3!" *) Two friend 0a"an and 0a&an starts a race and r%n together for 2!" towards east$ ro" there 0a"an r%ns 1!" towards north east and 0a&an contin%es in the east for (!"$ 9ow far are the two friends now fro" each other? 6!" 2!" 1(!" 3!" 5) (#(#6#2#$$ 3 3 51. If the logx = 0.8, then what is the value of x? A. 4 B. 2 C. 32 D. 16 52. If f(x) = ex and g(x) = log e x, then what is the value of {f of g(x)}? A. X B. ex C. logex D. cannot be determined
53. he value of log 8!" #log!""0$! is A. -1 B. 0 C. 1 D. 2 5". %hat is the &elationshi' etween the f&ations *"+*5 and 3+"0? A.14/15=3/40 B.14/15!3/40 C.14/15"3/40 D. Cannot be determined
55. If -/ and 1 of two nue&s a&e eual and '&odut of two nue&s is 2$*!, find thei& -/? A. 54 B. 56 C.64 D. 66 5!. If the su of sua&es of two nue&s is 25" and thei& 1 and -/ a&e $ and *35 &es'etivel4, then the nue&s a&e A.2# 36 B. 2# 35 C. 2$# 45 D. 2# 45 5. he nue& of wa4s in the lette&s of the wo&d 679-: an e a&&anged without &e'etition is A.20 B. 120 C. 60 D. $40
5$. he 1 of two nue&s is " and -/ is "8. If one of the nue&s is *2, then one of the divisions of the nue&s is; A.3 B. 6 C. $ D. 12 5%. %hih nue& should e added to **325 so that it an e divided 4 $? A. 4 B. 6 C. $ D. 10 60. <> is a sua&e @6 is a &hous l4ing inside the sua&e suh that , @, 6 and a&e the idA 'oints of <, , > and >< &es'etivel4. < 'oint is seleted at &ando in the sua&e. 1ind the A.1/3 B. 2/3 C. 1/2 D. 1/4 '&oailit4 that lies in the &hous !*. ".28 and A3.28 a&e two nue&s on a &eal nue& line. If * is added to the nue&s, then whih of the following is t&ue & A. Di'tance bet(een t)e t(o ne( n*mber' i' 2 more t)an di'tance bet(een 4.2$ and -3.2$ B. Di'tance bet(een t)e t(o ne( n*mber' i' 2 le'' t)an di'tance bet(een 4.2$ and -3.2$ C. Di'tance bet(een t)e t(o ne( n*mber' i' 2 e+*al di'tance bet(een 4.2$ and -3.2$ D. ,one o t)e'e
62. %hen a loal t&ain t&avels at a s'eed of !0 B'h. It &eahes the destination on tie C when the sae t&ain t&avels at s'eed of 50B'h. It &eahes its destination*5 inutes late. %hat is the length of Dou&ne4? A. 5m B.50m C. 60m D.$5m 63. In ashooting o'etition, the '&oailit4 of hitting the ta&get 4 is 3+5. 4 @ is *+3 and 4 6 is 2+5. If all the4 fi&e inde'endentl4 at the sae ta&get alulate the '&oailit4 that onl4 one of the will hit the A. 25/5 B. 32/5 C. 3%/5 D. 43/5 ta&get . 64. 1o& what value of / is the nue& /"28!/ divisile 4 **? A. 0 B. $ C.4 D. %
65$ gro%p of wo"en can 8nish a piece of wor! in 5 days$ +n how "any days will onethird the n%"ber of wo"en be able to 8nish twothird of the wor!? $ 15 days L$ '5 days $ 5 days F$ 1 days 66$ What is the val%e of log 512 (? $ 3 L$ 1/3 $ 3 F$ 1/3 6'$ +f log1 3 7 $''# then the val%e of log 1 * is $ 1 L$ $'' $ $*5 F$ $523 6($ When the price of a pair of shoes is decreased by 1.# the n%"ber of pairs sold increased by 2.$ What is the net e@ect on scales? $ (. decrease L$1. decrease $1. increase F$ (. increase 6*$ 0eplace the sy"bols C and P in *5(6CP so that it is divisible by both ( and 5$ $ # L$ 1# $ #5 F$ 1#5 '$ +f a coin with both heads is tossed# then the probability or obtaining a tail is $ L$ Q $ 1/3 F$ 1 '1$ ind the re"ainder when 221 is divided by 6$ $ L$ 1 c$ 2 F$ 3 '2$ Which of the following n%"bers is the s"allest n%"ber? $ 1/12 L$ 1/6 $ R F$ 1/3 '3$ phone co"pany o@ers 5 phone plan options call waiting# call forwarding# voice "ail# conferencing# and caller +F$ c%sto"er can choose 3 options$ The n%"ber of ways one can avail the plan options is $ 5 L$ 1 $ 3 F$ 2 '$ +f log32 , 4 log32 1/() 7 1/5# then the val%e of , is e-%al to $ ( L$ 5 $ 16 F$ 32 '5$ Dength and breadth of a rectangle are directly proportional$ +f length increases fro" 6 c" to 21 c" and if breadth now is 1 c"# then what was the breadth before any change in length occ%rred? $ c"L$ 1$5 c" $ 2 c" F$ 3 c"
'6$ t an election there are 5 candidates a"ong which 3 "e"bers are to be elected and a voter "ay vote for any n%"ber of candidates not greater than the n%"ber to be elected$ Then the n%"ber of ways in which a voter "ay vote are ? $ 25 L$ 3 $ 32 F$ None of the above ''$ =ne card is drawn fro" a pac! of 52 cards# each of the 52 cards being e-%ally li!ely to be drawn$ ind the probability that the card drawn is S*S of hearts$ $ 1/13 L$ 1/26 $ 1/52 F$ 3/52 , y 2, y '($ +f 2 C 3 7 1( and 2 C 3 736# the val%e of , is $ L$ 1 $ 2 F$ 3 M$ None of the above '*$ n %nbiased coin is tossed 5 ti"es$ +f tail appears on 8rst tosses# then probability of tail appearing on the 8fth toss is $ Q L$ 1 $ F$ /5 ($ +n a single throw of dice# what is the probability to get a n%"ber greater than or e-%al to ? $ 1/3 L$ 2/3 $ Q F$ None of the above (1$ or irrigational p%rposes# a far"er %ses a tan! of water$ 9e %ses a pipe d%ring night to 8ll the tan!# so that he co%ld %se the tan! of water in the "orning to irrigate his far"$ The pipe 8lls the tan! in 3 ho%rs b%t on the partic%lar day#beca%se of a lea! in the tan!# the pipe ta!es $5 ho%rs to 8ll it$ +n how "any ho%rs can the tan! be co"pletely e"ptied by the lea! alone? $ 6 L$ * $ 1$5 F$ Fata ins%Kcient (2$ The printed price on a boo! is 0;$ # a boo!seller o@ers a 1. disco%nt on it$ +f he still earns a pro8t of 12.# then the cost price of the boo! is $ 0;$ 2( L$ 0;$ 352 $ 0;$36 F$ 0;$3 2 (3$ +f r 7 at and s 7 2at# then the relation a"ong s# r and a is $ s2 7 ar L$ s 7 ar $ s2 7 ar F$ None of the above ($ "it bo%ght 1 cycles for 0s1'5 each$ 9e sold fo%r cycles for 0s(# three for 1* each$ t what price he sho%ld sell re"aining cycles so as to earn an average pro8t of 0s32 per cycle? 1* 2 1( 25 22 (5$ =%t of 26# 13# and 3# which two n%"bers are copri"es? 26 and 1 13 and 3 26 and 3 None of the pairs are co pri"es (6$ "an earns 2# per "onth$ 9e spends onethird of his inco"e on personal e,pendit%re$ 9alf of the re"aining inco"e is invested in a sche"e for 15. interest per ann%"$ fter investing half of the re"aining inco"e is invested in a sche"e which gives 1. inco"e per ann%"$ The re"aining lies in a ban! where it earns an interest of . per ann%"$ The e@ective rate of interest earned by the "an on his invest"ents by the end of the year is? 1*. 1. 11. 2*. 12$33. (') person forgets the last two digits of %ser +F for a website$ 9e re"e"ber that both digits are odd$ what is the probability of hi" typing the correct last digits by rando"ly typing 2 odd digits? )1/25 L)1/5 )1/2 F)2/5
(()Mvery n%"ber of ho%sing socity contrib%ted as "%ch as there are n%"bers f "e"bers in the socity$ The president added 0s$15 e,tra fro" to ta!e the total of 0s$ 2#65$ 9ow "any "e"bers are there in the ho%sing society? )25 L)5 c)6 d)35 (*)iven that the interest is only earned o principal# if an invest"ent of 0s 1$ a"o%nts to 0s 1$ in two years# then what is the rate of interest earned? )2. L)22. c)21. F)11. e). *)itdo and 0ash"i were playing l%do$ a"e starts when one gets 6 in two consec%tive throws of dice$ What is the probability that git% can start the ga"e in 8rst chance? )1/6 L)1/36 )5/36 F)5/6 *1)0it% has 3 shirts in shades of red # in yellow shades and 5 in green shades $Threen shirts are pic!ed at rando"$ The probability that all of those are in red shades is )1/12 L)1/66 c)1/66 F)1/ *2)1$(16)1/27? )$1
L)1$ c)1$
F)1$
*3)n intern can a &ob in 15 days $ The "anager and senior "anager are b%sy with other priorities and th%s ta!e 25 and days respectively to co"plete the tas!$ 9ow long will they tas! to 8nish the tas! if all of the" wor! together? )' b)'22/2* c)( F)(21/2* *)if a 4 b 76# ab 7 5# then the val%e of ab is ) L)5 )6 F)' M)* *5)t a certain party ratio the ratio of gents and ladies was 12 $ L%t when 2 gents and 2 ladies left the party $ The ratio beca"e 13$ 9ow "any people were initially present in the party? )12 L)15 )1( F)2 *6)The ;+ on 0s 1 for "onths at the rate of 3 paise per r%pee per "onth is )0s 1$2 L)0s 1$6 )0s 2$ F)rs$3$6/ *')+n a "iniat%re wonderland#three co%ntries %stria#"erica and er"any are on display$+f %stria and "erica occ%pied 3/' and /* of the display area respectively#what is the display area occ%pied by er"any? a$3/21 b$5/63 c$(/63 d$1/21
*()ind the val%e of p which satis8es the relation log2p1) 4 2 7log23p41)$ a$1
**)
(
b$3
c$5
d$'
c$216
d$16
2
2 C 2 7 a$1
b$21
1)Ea%li p%rchased a designer saree fro" "%"bai at (/*th of its E0<$When she ca"e bac! to Felhi#her neighbo%r coa,ed Ea%li to sell the saree to her$;he was even ready to pay *. "ore than its E0<$What wo%ld Ea%liGsgain percentage be#if she decides to sell the saree to her neighbo%r? a$15$5*.
b$16$61.
c$2$36.
d$22$65.
11)Feepa! sells 5 shirts at the cost price of 6 shirts$9is gain percent is a$$15 b$$1
c$$25 d$$2
12)The DE of 26 C 32 C 5 C '# 23 C 35 C ' and 2 C 3 C 5 is a$26 C 35
b$26 C 35 C 5
c$26 C 35 C '
d$ 26 C 35 C 5 C '
13)ind the greatest n%"ber that divides 125#21(#2( and 32 so as to leave the sa"e re"ainder in each case$
a$3'
b$35
c$33
d$31
1)The s%" of s-%ares of 3 n%"bers is 1'# while the s%" of their prod%cts ta!en two at a ti"e is 15'$What is the s%" of the n%"bers? a$2 b$22 c$2 d$2( 15)Might tea"s are playing in a cric!et "atch$+f a tea" loses#it is o%t of the to%rna"ent$9ow c$( d$* "any ga"es are needed to deter"ine the winner? a$' b$6 16)What will be the val%e of , in the e,pression '222(2 7 5,U? a$ b$6 c$(6 d$((
1')There are 3 "ain steps of co"pletion of a pro&ectFevelop"ent#0eview and 0oll o%t$fter develop"ent# there are people who can independently wor! and lead the process to the process to the ne,t step i$e$ 0eview$%rther ahead#there are 5 people who can wor! independently and lead to the ne,t step i$e$0ollo%t$+n how "any ways can a pro&ect "anager co"plete the pro&ect? a$2
b$*
c$15
d$25
e$1(
1()ind a n%"ber that can replace y in the e,pression ,)7 ,2/3 C ,y a$ 2/3 b$ 2/3 c$ 1 d$ e$
1*) gro%p of st%dents is to be chosen fro" 3 boys and 5 girls$ind the probability that the a$3/' b$/' c$5/' d$6/' gro%p contains e,actly 3 girls$ 11$ cistern can be 8lled by two pipes and L in 1 and 15 ho%rs respectively and is then e"ptied by a tap in ( ho%rs$+f all the taps are opened#the cistern will be 8ll in a$ 21 ho%rs
b$ 22 ho%rs
c$23 ho%rs
d$2 ho%rs
e$None of the above
111)Mval%ateloga2bc3)5 a$ 32log a 4 5log b 4 23log c d$ 5log a2bc3)
b$ 1log a 4 5log b 4 15log c)
c$ 15log a 4 log b 4 log c)
112)if p varies directly as the s-%are of - and inversely as the s-%are root of r#which of the following wo%ld be tr%e if ! represents constant of variation? a$p-)2 7 V!
b$!7 r2C p C-2
c$p/!-)2 7Vr
d$ Vp 71/!-)2
113)what is the loss percentage inc%rred by a co"pany when it b%ys an asset for 0s 1#5# and sells it for 0s '5#5? a$*$6'.
b$*$3.
c$*($6(.
d$*($3.
11)+f a positive integer n is divided by 5 then the re"ainder is 3$ Which of the following a$ n 4 3 b$ n 2 n%"bers gives re"ainder #when it is divided by 5? 2
c$ n 4
d$ n 4 1
115)ind the greatest 5 digit n%"ber that is e,actly divisible by 3# # 5 and '? a$***
b$***6
c$***'
d$****
116)
d$$26
11')+f the selling price of a watch is halved#the pro8t beco"es -%artered$ind the pro8t percentage of the watch? a$5.
b$66$6'.
c$1.
11();i"plify the e,pression 'log5 p 4 V3 /2 log 5 - Q log 5 2r a$log5 p' 4 -V3)/2 V2) Vr) b$log5p' 4 -V3)/2)/r Vr))
d$2. c$log p' $-V3/2)/ V2) Vr))
d$ log5 p' $ -V3/2 ) V2)
11*)There are 5 clients and 5 cons%ltants in a ro%nd table "eeting$+n how "any ways can the clients be seated s%ch that no cons%ltant is ne,t to the other cons%ltant? a$ 5> 6> b$> > c$> 5> d$*> e$c5 5> > 12) co"pany decides to reorganise its 8nancial transaction 8les and p%t all s%ch 8les into vario%s drawers$+n how "any ways can ' 8les be p%t into 3 drawers #if any n%"ber of 8les can be p%t in each drawer? a$'3 b$'p3 c$'>/> d$3' e$'c3 121)+n EX co"pany#the probability that an e"ployee ta!es a sic! leave as well as a cas%al leave in a "onth is $15$ The probability that an e"ployee ta!es a sic! leave in a "onth is $5$ What is the probability that the e"ployee wo%ld ta!e a cas%al leave given that he wo%ld ta!e a sic! leave? a$$33 b$$2 c$$66 d$$'
