A, B and C are three points on a straight line, not
necessarily equidistant with B being between A and C. Three
semicircles are drawn on the same side of the line with AB,
BC and AC as the diameters. BD is perpendicular to the line
ABC, and D lies on the semicircle AC.
If the funny shaped diagram between the three semicircles
has an area of 1000 square cms, find the length of BD.
Two trains at speed 60 km/hr comes in the opposite
direction. At a particular time the distance between the
two trains is 18km. A shuttle flies between the trains at
the speed of 80 km/hr. At the time the two trains crashes
what is the distance traveled by shuttle?
Five students - Akash, Chintan, Jignesh, Mukund and Venky -
appeared for an exam. There were total five questions - two
multiple choice (a, b or c) and three true/false questions.
They answered five questions each and answered as follow.
I II III IV V
--------------------------------------------------
Chintan c b True True False
Akash c c True True True
Jignesh a c False True True
Mukund b a True True False
Venky b b True False True
--------------------------------------------------
Also, no two students got the same number of correct answers.
Can you tell which are the correct answers? What are their
individual score?
An orange colored glass has Orange juice and white colored
glass has Apple juice both of equal volumes. 50ml of the
orange juice is taken and poured into the white glass. After
that similarly, 50ml from the white glass is poured into the
orange glass.
Of the two quantities, the amount of apple juice in the
orange glass and the amount of orange juice in the white
glass, which one is greater and by how much?
Four persons A, B, C and D are playing cards.Each person
has one card, laid down on the table below him, which has
two different colours on either side. The colours visible
on the table are Red, Green, Red and Blue. They see the
color on the reverse side and give the following
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?
Each of the five characters in the word BRAIN has a
different value between 0 and 9. Using the given grid, can
you find out the value of each character?
B R A I N 31
B B R B A 31
N I A B B 32
N I B A I 30
I R A A A 23
37 29 25 27 29
Once a week a wagon driver leaves his hut and drives his
wagon to the river dock to pick up supplies for his town. At
4:05 PM, one-fifth of the way to the dock, he passes the
Temple. At 4:15 PM, one-third of the way, he passes the
Preetam-Da-Dhabaa.
At what time does he reached the dock?
In the following multiplication, certain digits have been
replaced with asterisks (*). Replace all the asterisks such
that the problem holds the result.
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?
There are 3 lights (in one room) and 3 swtiches (in another
room), one for each, if you only enter into the light room
once. How can you find out which switch corresponds to which
light?
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?
If a bear eats 65 pounds in fish every day EXCEPT every 6th
day which it only eats 45 pounds of fish.
If the bear continues this, how many pounds of fish will it
eat in 200 days?
There is a shortage of tubelights, bulbs and fans in a
village - Kharghar. It is found that
? All houses do not have either tubelight or bulb or fan.
? exactly 19% of houses do not have just one of these.
? atleast 67% of houses do not have tubelights.
? atleast 83% of houses do not have bulbs.
? atleast 73% of houses do not have fans.
What percentage of houses do not have tubelight, bulb and fan?
Somebody marked the six faces of a die with the numbers 1, 2
and 3 - each number twice. The die was put on a table. Four
people - Abu, Babu, Calu and Dabu - sat around the table so
that each one was able to see only three sides of the die at
a glance.
? Abu sees the number 1 and two even numbers.
? Babu and Calu can see three different numbers each.
? Dabu sees number 2 twice and he can't remember the third
number.
What number is face down on the table?
Four men - Abraham, Bobby, Clinton and Denial - are standing
in a straight line.
1. One man is fair, handsome and unscarred.
2. Two men who are not fair, are each standing next to Abraham.
3. Bobby is the only man standing next to exactly one
handsome man.
4. Clinton is the only man not standing next to exactly one
scarred man.
Who is fair, handsome and unscarred?