Answer / raj kiran

consider 2-d fig for simplicity.. i.e two lines at right
angles and a circle with its circumference touching the
lines(walls).. now the line joining the center of the circle
n the point of contact of the circle wit the walls forms a
square of side 40 cm..

now join the center of the circle n the meeting point of the
wall, this forms the diagonal of the square..
by right angle theorem, we get the diagonal as,
(40*1.414)=56.56..

so the remaining space left ( corner of the wall to the
circumference of th circle) is 16.6cm...

through which a 7cm ball can pass through..

Answer / munna

The answer is yes.
Consider a 2-D diagram,
given that the diameter of the sphere is 40 cms.
so radius = 20 cms.
c0nsider the points that touch the floor and the wall and
the center of the sphere and the intersection of the floor
and wall.This forms a square of length of side 20 cms.
so,
the distance left for any sphere of unknown diameter to
pass through be x.
x=sqrt(800)-20=8.284... cms.
so a sphere of radius 7 cms passes.

Answer / guest

Submit

Answer

Users

Answer (23)

BrainVista

Answer

Puzzle A

Friend

Add to

Favourite

For the sake of simplicity, consider two-dimension i.e view
sphere as a two dimensional circle with diameter 40 cms.

From Figure I, (40 cms diameter sphere)

OC2 = OD2 + CD2

OC2 = 202 + 202

OC = 28.28427 cms

Also, X is the closest point to origin O on the sphere.

CX = 20 cms (radius)

OX = OC - CX

OX = 28.28427 - 20

OX = 8.28427 cms

From Figure II, (7 cms diameter sphere)

OP2 = OQ2 + PQ2

OP2 = (3.5)2 + (3.5)2

OP = 4.94974 cms

Also, Y is the farthest point to origin O on the sphere.

PY = 3.5 cms (radius)

OY = OP + PY

OY = 4.94974 + 3.5

OY = 8.44974 cms

Now, as OY > OX i.e. smaller sphere requires more space than
the space available. Hence, smaller sphere of 7 cms diameter
can not pass through the space between the big sphere, the
wall and the floor.

The puzzle can be solved by another method.

Draw a line tangent to the big sphere at the point X such
that X is the closest point to the origin O on sphere. The
tanget will cut X and Y axes at A and B respectively such
that OA=OB. [See Fig III] From above, OX=8.28427 cms.

From the right angle triangle OAB, we can deduct that

OA = OB = 11.71572 cms

AB = 16.56854 cms

Now, the diameter of the inscribed circle of right angle
triangle is given by d = a + b - c where a <= b < c

The maximum possible diameter of the circle which can pass
through the space between the big sphere, the wall and the
floor is

= OA + OB - AB

= 11.71572 + 11.71572 - 16.56854

= 6.86291 cms

Hence, the sphere with 7 cms diameter can not pass through
the space between the big sphere, the wall and the floor.

Submit

Answer

Users

Answer (23)

BrainVista

Answer

Puzzle A

Friend

Add

In the General meeting of "Friends Club", Sameer said, "The repairs to the Club will come to a total of Rs 3120 and I propose that this amount should be met by the members, each paying an equal amount." The proposal was immediately agreed. However, four members of the Club chose to resign, leaving the remaining members to pay an extra Rs 26 each. How many members did the Club originally have?

3 Answers  

---

There are 25 horses and five tracks. There is no stop clock and we have to find the top 5 horses in the bunch. What is the minimum possible races ?

14 Answers   Amazon,

---

How would you cut a cake in 8 pieces with only three cuts.

14 Answers   CTS, eClerx, Exilant, Google, Infosys,

---

Two identical pack of cards A and B are shuffled throughly. One card is picked from A and shuffled with B. The top card from pack A is turned up. If this is the Queen of Hearts, what are the chances that the top card in B will be the King of Hearts?

1 Answers  

---

iwant to know which type of questions were coming in tcs company

3 Answers   Syntel, TCS,

---

You have 13 balls which all look identical. All the balls are the same weight except for one. Using only a balance scale, can find the odd one out with only 3 weighings? Is it possible to always tell if the odd one out is heavier or lighter than the other balls?

9 Answers   Sapient,

---

If 5/2 artists make 5/2 paintings using 5/2 canvases in 5/2 days then how many artists r required to make 25 paintings using 25 canvases in 25 days?

7 Answers  

---

Arrange these words into a romantic word D P G E O D S?

5 Answers   Google,

---

In training for a competition, you find that swimming downstream (with the current) in a river, you can swim 2 miles in 40 minutes, & upstream (against the current), you can swim 2 miles in 60 minutes. How long would it take you to swim a mile in still water?

2 Answers  

---

no.1-6 first is added the last 3 are subtracted , arrange the no. so that each sum and difference give the same answer

3 Answers   Karur Vysya Bank KVB,

---

100 Gold Coins Five pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all extremely intelligent, treacherous and selfish (especially the captain). The captain always proposes a distribution of the loot. All pirates vote on the proposal, and if half the crew or more go "Aye", the loot is divided as proposed, as no pirate would be willing to take on the captain without superior force on their side. If the captain fails to obtain support of at least half his crew (which includes himself), he faces a mutiny, and all pirates will turn against him and make him walk the plank. The pirates start over again with the next senior pirate as captain. What is the maximum number of coins the captain can keep without risking his life?

5 Answers   Mu Sigma,

---

There were two men standing on a street. The one says to the other, "I have 3 daughters, the product of their ages is 36. What is the age of the OLDEST daughter?" The second guy says, "I need more information." So, the first guy says, "The sum of their ages is equal to the address of the house across the street." The second guy looks at the address and says, "I still need more information." So, the first guy says, "My oldest daughter wears a red dress."

3 Answers  

---