BAJAJ PAPER - 08 AUG 2016
Hi Friends
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.
18
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 9))
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?
9
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 originally had?
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 second day.
What part of the contents of the container is left at the end of the second
day?
(x-1/3x)-((x-1/3x)3/4)=2/3x-1/2x= 1/6x
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 begin with?
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 he say?
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)
Hi Friends
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.
18
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 9))
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?
9
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 originally had?
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 second day.
What part of the contents of the container is left at the end of the second
day?
(x-1/3x)-((x-1/3x)3/4)=2/3x-1/2x= 1/6x
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 begin with?
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 he say?
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)
