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Aptitude Questions

1. One guy has Rs. 100/- in hand. He has to buy 100 balls. One football

costs Rs. 15/, One Cricket ball costs Re. 1/- and one table tennis ball costs Rs.

0.25 He send the !hole Rs. 100/- to buy the balls. Ho! "any of each balls hebought#

2. $he distance bet!een %tation &tena and %tation 'arcena is (0 "iles. &

train starts fro" &tena to!ards 'arcena. & bird starts at the sa"e ti"e fro"

'arcena straight to!ards the "o)ing train. On reaching the train, it

instantaneously turns back and returns to 'arcena. $he bird "akes these

*ourneys fro" 'arcena to the train and back to 'arcena continuously till the

train reaches 'arcena. $he bird finally returns to 'arcena and rests. Calculate

the total distance in "iles the bird tra)els in the follo!ing t!o cases+

a $he bird flies at (0 "iles er hour and the seed of the train is 0 "iles er

hour.

b the bird flies at 0 "iles er hour and the seed of the train is (0 "iles er

hour

. & tennis cha"ionshi is layed on a knock-out basis, i.e., a layer is out

of the tourna"ent !hen he loses a "atch.

a Ho! "any layers articiate in the tourna"ent if 15 "atches are totally

layed#

b Ho! "any "atches are layed in the tourna"ent if 50 layers totally

articiate#

. hen add ti"es "y age years fro" no! to 5 ti"es "y age 5 years

fro" no!, get 10 ti"es "y current age. Ho! old !ill be years fro" no!#

5. & rich "erchant had collected "any gold coins. He did not !ant anybody

to kno! about the". One day, his !ife asked, 3Ho! "any gold coins do !e

ha)e#3 &fter ausing a "o"ent, he relied, 3ell4 f di)ide the coins into t!o

uneual nu"bers, then 6 ti"es the difference bet!een the t!o nu"bers euals

the difference bet!een the suares of the t!o nu"bers.3 $he !ife looked

u77led. Can you hel the "erchant8s !ife by finding out ho! "any gold R

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. & set of football "atches is to be organi7ed in a 3round-robin3 fashion,

i.e., e)ery articiating tea" lays a "atch against e)ery other tea" once and

only once. f 21 "atches are totally layed, ho! "any tea"s articiated#

6. 9lenn and :ason each ha)e a collection of cricket balls. 9lenn said that if

:ason !ould gi)e hi" 2 of his balls they !ould ha)e an eual nu"ber; but, if

9lenn !ould gi)e :ason 2 of his balls, :ason !ould ha)e 2 ti"es as "any balls

as 9lenn. Ho! "any balls does :ason ha)e#

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distB1.5(0B15"iles

b) ti"e of trainB1hr.so dist of birdB01B0"iles

. a u don8t need to su" it u.since it8s a knock out only 1 erson e"erges!inner finally.so15A1B1is ans!er.becos after15 "atches finally !e shud8)e

15losers and 1!inner.

(b) (+its al!ays one less than no of layers as er the idea gi)en abo)e.so no

need to check okay cos its al!ays true.ans is (.

. Det ?B current age

?AA5?A5B10? ;so ?BR 1 years

5. 6?-yB?E2-yE2. u no tht ?E2-yE2B?-y?Ay.so ?-y cancels on both

sides to gi)e ?AyB6.so su" of uneual hal)esB6 !hich is the re ans!er.

. R ans+6 tea"s okay.for a "atch u need 2 tea"s.suose there r totally 8n

8tea"s.

=o! u)e to choose 2 tea"s out of 8n8 tea"s.so ans!er Bno of such choicesBno.

of ossible co"binations. %o !e8)e ans B nC2nco"bination2B21;sol)e to get

nB6.

%ol+ nn-1/2B21. so nB6.if u don8t understand c the grah belo!

each tea" lays no. of "atchesBno of tea"s ahead of it. One bar 8F8 reresents

one tea".

F F F F F F F ------------6

5 2 1 0 -----------21

last tea" is !ritten as 0 "atches becos this tea" has already layed !ith all

other tea"s-hence su" of "atches BA5AAA2A1B21 !hich is correct only if

no of tea"s B6

6. R 1

1. 9A2B*-2

2. 29-2B:A2.

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sol)e these 2 to get

:B1