: Infosys Test
Paper Pattern (Aptitude
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 spend the whole Rs. 100/- to buy the balls. How many of each balls he bought?
2.The distance between Station Atena and Station Barcena is 90 miles. A train
starts from Atena towards Barcena. A bird starts at the same time from Barcena
straight towards the moving train. On reaching the train, it instantaneously
turns back and returns to Barcena. The bird makes these journeys from Barcena to
the train and back to Barcena continuously till the train reaches Barcena. The
bird finally returns to Barcena and rests. Calculate the total distance in miles
the bird travels in the following two cases:
(a) The bird flies at 90 miles per hour and the speed of the train is 60
miles per hour.
(b) the bird flies at 60 miles per hour and the speed of the train is 90 miles
3.A tennis championship is played on a knock-out basis, i.e., a player is out
of the tournament when he loses a match.
(a) How many players participate in the tournament if 15 matches are totally
(b) How many matches are played in the tournament if 50 players totally
4.When I add 4 times my age 4 years from now to 5 times my age 5 years from
now, I get 10 times my current age. How old will I be 3 years from now?
5.A rich merchant had collected many gold coins. He did not want anybody to
know about them. One day, his wife asked, "How many gold coins do we
have?" After pausing a moment, he replied, "Well! If I divide the
coins into two unequal numbers, then 37 times the difference between the two
numbers equals the difference between the squares of the two numbers."
The wife looked puzzled. Can you help the merchant's wife by finding out how
many gold R
6.A set of football matches is to be organized in a "round-robin"
fashion, i.e., every participating team plays a match against every other team
once and only once. If 21 matches are totally played, how many teams
7.Glenn and Jason each have a collection of cricket balls. Glenn said that if
Jason would give him 2 of his balls they would have an equal number; but, if
Glenn would give Jason 2 of his balls, Jason would have 2 times as many balls as
Glenn. How many balls does Jason have?
8.Suppose 8 monkeys take 8 minutes to eat 8 bananas.
(a) How many minutes would it take 3 monkeys to eat 3 bananas?
(b) How many monkeys would it take to eat 48 bananas in 48 minutes
9.It was vacation time, and so I decided to visit my cousin's home. What a
grand time we had! In the mornings, we both would go for a jog. The evenings
were spent on the tennis court. Tiring as these activities were, we could manage
only one per day, i.e., either we went for a jog or played tennis each day.
There were days when we felt lazy and stayed home all day long. Now, there were
12 mornings when we did nothing, 18 evenings when we stayed at home, and a total
of 14 days when we jogged or played tennis. For how many days did I stay at my
10.A 31" x 31" square metal plate needs to be fixed by a carpenter
on to a wooden board. The carpenter uses nails all along the edges of the square
such that there are 32 nails on each side of the square. Each nail is at the
same distance from the neighboring nails. How many nails does the carpenter use?
Answer and Explanation.
1. F + C + T = 100-------------eq1
15F + C + 0.25T = 100-------------eq2
eq1=eq2 .solve to get F=3T/56 ;F=3,T=56,C=41
2.a) There is no need to consider their meeting pt at all.the train has been
running for 90miles/(60miles/hr)=1.5hrs.bird flies till train reaches
destination frm strting pt.so bird flies for1.5hrs at the vel given(90).so
b) time of train=1hr.so dist of bird=60*1=60miles
3.(a) u don't need to sum it up.since it's a knock out only 1 person emerges
winner finally.so15+1=16is answer.becos after15 matches finally we shud've
15losers and 1winner.
(b) 49:its always one less than no of players as per the idea given
above.so no need to check okay cos its always true.ans is 49.
4.Let x= current age
4(x+4)+5(x+5)=10x ;so x=R 41 years
5.37(x-y)=x^2-y^2. u no tht x^2-y^2=(x-y)(x+y).so (x-y) cancels on both sides
to give x+y=37.so sum of unequal halves=37 which is the req answer.
6.R ans:7 teams okay.for a match u need 2 teams.suppose there r totally 'n
Now uve to choose 2 teams out of 'n' teams.so answer =no of such choices=no.
of possible combinations. So we've ans = nC2(ncombination2)=21;solve to get n=7.
Sol: n(n-1)/2=21. so n=7.if u don't understand c the graph below
each team plays no. of matches=no of teams ahead of it. One bar '|' represents
| | | | | | | ------------7
6 5 4 3 2 1 0 -----------21
last team is written as 0 matches becos this team has already played with all
other teams-hence sum of matches =6+5+4+3+2+1=21 which is correct only if no of
solve these 2 to get
8.a). Sol:each mky takes 8 min to eat a banana
9.Use sets and venn diagram to solve such questions.a,b ,aub,anb etc.
again jog+tennis=14.so solve and get jog=10,leave=8,tennis=4.so tot=22
10.Ans= 32*2 + 30*2=124