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
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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))
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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.
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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
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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?
Doc is
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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?
Cam carrie
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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?
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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?
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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?
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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.
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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
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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
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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)?
Math gurus may use series formula to solve
it.(series: 1,3,5,7,9,11.....upto 18250 terms)
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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?
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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.
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17.
500 men are arranged in an array of 10 rows and 50 columns according to their
heights.
Tallest among each row of all are asked to come out. And
the shortest among them is A.
Similarly after resuming them to their original positions, the shortest among
each column are asked to come out. And the tallest among them is B.
Now who is taller A or B? a&b same person
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18.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. 7
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19.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)
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