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)
