Bajaj Placement Papers-Free Download
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 per
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 played? (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
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 participated?
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 cousin's place?
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 dist=1.5*90=135miles b) time of train=1hr.so dist of
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
6. R ans:7 teams okay.for a match u need 2 teams.suppose there r
totally 'n 'teams.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 beloweach team plays no. of matches=no of
teams ahead of it. One bar '' represents one team. ------------7 6 5 4
3 2 1 0 -----------21last 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 teams =7
7. R 141. G+2=j-22. 2(G-2)=J+2.solve these 2 to get J=14
8. a). Sol:each mky takes 8 min to eat a banana b).ans:8m=48 m=6
9. Use sets and venn diagram to solve such questions.a,b ,aub,anb
etc.12=tennis+leave18=jog +leaveso jog-tennis=6again jog+tennis=14.so
solve and get jog=10,leave=8,tennis=4.so tot=22
10. Ans= 32*2 + 30*2=124
1.Three friends divided some bullets equally. After all of them shot 4
bullets the total number of bullets remaining is equal to the bullets
each had after division. Find the original number divided.
2.Find sum of digits of D. Let A= 19991999 B = sum of digits of A, C =
sum of digits of B, D = sum of digits of C. (HINT: A = B = C = D (mod
3.There is a 50m long army platoon marching ahead. The last person in
the platoon wants to give a letter to the first person leading the
platoon. So while the platoon is marching he runs ahead, reaches the
first person and hands over the letter to him and without stopping he
runs and comes back to his original position. In the mean time the
whole platoon has moved ahead by 50m. The question is how much distance
did the last person cover in that time. Assuming that he ran the whole
distance with uniform speed.
4.If you take a marker & start from a corner on a cube, what is the
maximum number of edges you can trace across if you never trace across
the same edge twice, never remove the marker from the cube, & never
trace anywhere on the cube, except for the corners & edges?
5.One of Mr. Bajaj, his wife, their son and Mr. Bajaj's mother is an
Engineer and another is a Doctor. If the Doctor is a male, then the
Engineer is a male. If the Engineer is younger than the Doctor, then
the Engineer and the Doctor are not blood relatives. If the Engineer is
a female, then she and the Doctor are blood relatives. Can you tell who
is the Doctor and the Engineer?
6.Three men - Sam, Cam and Laurie - are married to Carrie, Billy and
Tina, but not necessarily in the same order. Sam's wife and Billy's
Husband play Carrie and Tina's husband at bridge. No wife partners her
husband and Cam does not play bridge. Who is married to Cam?
7.There are 3 persons X, Y and Z. On some day, X lent tractors to Y and
Z as many as they had. After a month Y gave as many tractors to X and Z
as many as they have. After a month Z did the same thing. At the end of
this transaction each one of them had 24. Find the tractors each
8.A certain street has 1000 buildings. A sign-maker is contracted to
number the houses from 1 to 1000. How many zeroes will he need?
9.There are 9 coins. Out of which one is odd one i.e weight is less or
more. How many iterations of weighing are required to find odd coin?
10.In a sports contest there were m medals awarded on n successive days
(n > 1). On the first day 1 medal and 1/7 of the remaining m - 1
medals were awarded. On the second day 2 medals and 1/7 of the now
remaining medals was awarded; and so on. On the nth and last day, the
remaining n medals were awarded. How many days did the contest last,
and how many medals were awarded altogether?
11.A number of 9 digits has the following properties: The number
comprising the leftmost two digits is divisible by 2, that comprising
the leftmost three digits is divisible by 3, the leftmost four by 4,
the leftmost five by 5, and so on for the nine digits of the number
i.e. the number formed from the first n digits is divisible by n,
2<=n<=9. Each digit in the number is different i.e. no digits are
repeated. The digit 0 does not occur in the number i.e. it is comprised
only of the digits 1-9 in some order. Find the number.
12. 1/3 rd of the contents of a container evaporated on the 1st day.
3/4th of the remaining contents of the container evaporated on the
What part of the contents of the container is left at the end of the
13.Vipul was studying for his examinations and the lights went off. It
was around 1:00 AM. He lighted two uniform candles of equal length but
one thicker than the other. The thick candle is supposed to last six
hours and the thin one two hours less. When he finally went to sleep,
the thick candle was twice as long as the thin one. For how long did
Vipul study in candle light? 3 hrs
14.If you started a business in which you earned Rs.1 on the first day,
Rs.3 on the second day, Rs.5 on the third day, Rs.7 on the fourth day,
& so on. How much would you have earned with this business after 50
years (assuming there are exactly 365 days in every year)?
15.A worker earns a 5% raise. A year later, the worker receives a 2.5%
cut in pay, & now his salary is Rs. 22702.68 What was his salary to
16.At 6'o a clock ticks 6 times. The time between first and last ticks
is 30 seconds. How long does it tick at 12'o.
17.In Mr. Mehta's family, there are one grandfather, one grandmother,
two fathers, two mothers, one father-in-law, one mother-in-law, four
children, three grandchildren, one brother, two sisters, two sons, two
daughters and one daughter-in-law. How many members are there in Mr.
Mehta's family? Give minimal possible answer.
18.When Alexander the Great attacked the forces of Porus, an Indian
soldier was captured by the Greeks. He had displayed such bravery in
battle, however, that the enemy offered to let him choose how he wanted
to be killed. They told him, "If you tell a lie, you will put to the
sword, and if you tell the truth you will be hanged." The soldier could
make only one statement. He made that statement and went free. What did
20.A person wanted to withdraw X rupees and Y paise from the bank. But
cashier made a mistake and gave him Y rupees and X paise. Neither the
person nor the cashier noticed that. After spending 20 paise, the
person counts the money. And to his surprise, he has double the amount
he wanted to withdraw. Find X and Y. (1 Rupee = 100 Paise)
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