1) A 3 digit number is such that it's unit digit is equal to the product
of the other two digits which are prime. Also, the difference between it's
reverse and itself is 396.
What is the sum of the three digits?
2) Substitute numbers for the letters so that the following mathematical
expressions are correct.
ABC DEF GHI
--- = IE --- = IE --- = IE
3 6 9
Note that the same number must be used for the same letter whenever it
appears.
3) A, B, C and D are related to each other.
One of the four is the opposite sex from each of the other three.
D is A's brother or only daughter.
A or B is C's only son.
B or C is D's sister.
4) Dr. DoLittle always goes walking to the clinic and takes the same time
while going and while coming back. One day he noticed something.
When he left the home, the hour hand and the minute hand were exactly
opposite to each other and when he reached the clinic, they were together.
Similarly, when he left the clinic, the hour hand and the minute hand were
together and when he reached the home, they were exactly opposite to each
other.
How much time does Dr. DoLittle take to reach home from the clinic? Give the
minimal possible answer.
5) SlowRun Express runs between Bangalore and Mumbai, For the up as well as
the down journey, the train leaves the starting station at 10:00 PM everyday
and reaches the destination at 11:30 PM after three days.
Mr. Haani once travelled by SlowRun Express from Mumbai to Bangalore. How
many SlowRun Express did he cross during his journey?
6) Thus, Mr. Haani must have crossed 7 SlowRun Expresses during his journey.
Six cabins numbered 1-6 consecutively, are arranged in a row and are
separated by thin dividers. These cabins must be assigned to six staff
members based on following facts.
Miss Shalaka's work requires her to speak on the phone frequently throughout
the day.
Miss Shudha prefers cabin number 5 as 5 is her lucky number.
Mr. Shaan and Mr. Sharma often talk to each other during their work and
prefers to have adjacent cabins.
Mr. Sinha, Mr. Shaan and Mr. Solanki all smoke. Miss Shudha is allergic to
smoke and must have non-smokers adjacent to her.
Mr. Solanki needs silence during work.
Can you tell the cabin numbers of each of them?
7) SkyFi city is served by 6 subway lines - A, E, I, O, U and Z.
When it snows, morning service on line E is delayed.
When it rains or snows, service on the lines A, U and Z is delayed both
morning and afternoon.
When the temperature drops below 20 C, afternoon service is cancelled on
either line A or line O, but not both.
When the temperature rises above 40 C, afternoon service is cancelled on
either line I or line Z, but not both.
When service on line A is delayed or cancelled, service on line I is also
delayed.
When service on line Z is delayed or cancelled, service on line E is also
delayed.
On February 10, it snows all day with the temperature at 18C. On how many
lines service will be delayed or cancelled, including both morning and
afternoon?
SkyFi city is served by 6 subway lines - A, E, I, O, U and Z.
When it snows, morning service on line E is delayed.
When it rains or snows, service on the lines A, U and Z is delayed both
morning and afternoon.
When the temperature drops below 20 C, afternoon service is cancelled on
either line A or line O, but not both.
When the temperature rises above 40 C, afternoon service is cancelled on
either line I or line Z, but not both.
When service on line A is delayed or cancelled, service on line I is also
delayed.
When service on line Z is delayed or cancelled, service on line E is also
delayed.
On February 10, it snows all day with the temperature at 18C. On how many
lines service will be delayed or cancelled, including both morning and
afternoon?
In a certain game, if 2 wixsomes are worth 3 changs, and 4 changs are worth
1 plut, then 6 plutes are worth how many wixsomes?
8) A 3 digit number is such that it's unit digit is equal to the product of
the other two digits which are prime. Also, the difference between it's
reverse and itself is 396.
What is the sum of the three digits?
9) There are 4 mugs placed upturned on the table. Each mug have the same
number of marbles and a statement about the number of marbles in it. The
statements are: Two or Three, One or Four, Three or One, One or Two.
Only one of the statement is correct. How many marbles are there under each
mug?
10) At University of Probability, there are 375 freshmen, 293 sophomores,
187 juniors, & 126 seniors. One student will randomly be chosen to receive
an award.
What percent chance is there that it will be a junior? Round to the nearest
whole percent.
11) Assume for a moment that the earth is a perfectly uniform sphere of
radius 6400 km. Suppose a thread equal to the length of the circumference
of the earth was placed along the equator, and drawn to a tight fit.
Now suppose that the length of the thread is increased by 12 cm, and that
it is pulled away uniformly in all directions.
By how many cm. will the thread be separated from the earth's surface?
12) Scientist decided to do a study on the population growth of rabbits.
Inside a controlled environment, 1000 rabbits were placed.
Six months later, there were 1000Z rabbits. At the beginning of the 3rd
year, there were roughly 2828Z rabbits, which was 4 times what the
scientists placed in there at the beginning of the 1st year.
If Z is a positive variable, how many rabbits would be there at the
beginning of the 11th year?
13) A man is stranded on a desert island. All he has to drink is a 20oz
bottle of sprite.
To conserve his drink he decides that on the first day he will drink one
oz and the refill the bottle back up with water. On the 2nd day he will
drink 2oz and refill the bottle. On the 3rd day he will drink 3oz and so
on...
By the time all the sprite is gone, how much water has he drunk?
14) You have four 9's and you may use any of the (+, -, /, *) as many
times as you like. I want to see a mathematical expression which uses the
four 9's to = 100
How many such expressions can you make?
15) In a certain year, the number of girls who graduated from City High
School was twice the number of boys. If 3/4 of the girls and 5/6 of the
boys went to college immediately after graduation, what fraction of the
graduates that year went to college immediately after graduation?
16) A mule and a donkey were carrying full sacks on their backs.
The mule started complaining that his load was too heavy. The donkey said
to him "Why are you complaining? If you gave me one of your sacks I'd have
double what you have and if I give you one of my sacks we'd have an even
amount."
How many sacks were each of them carrying? Give the minimal possible
answer
17) Two people enter a race in whick you run to a point and back. Person A
runs 20 mph to and from the point. Person B runs to the point going 10 mph
and 30 mph going back.
Who came in first?
18) 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.
19) Find sum of digits of D.
Let A= 1999 (power) 1999
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))
20) 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.
