Answer / kelley w.

The room is a rectangular prism (like a cube only
rectangular). The 4 floor corners will be represented by
A,B, C, and D. The ceiling corners will be represented by
E, F, G, and H, with E being directly above A, F being
directly above B, Gbeing directly above C, and H being
directly above D. (Draw a picture, it helps) the ant needs
to go from the floor corner A to the ceiling corner G (if
I’m not mistaken). The shortest path would be a diagonal
line from A to G, but seeing as the ant cannot walk on air,
we have to find the quickest path using the walls, floor
and ceiling.
F__________G
/| /|
/B|________/_|C
E/_________H/ /
| / | /
|/_________| /
A D

The ant has four logical choices:

1) He could cross diagonally from A to C, then crawl
up the wall to G. We would have to find the length of
diagonal AC and the height of the room, which would be CG.
(He could also crawl up from A to E, and then diagonally
from E to G, but this would be the same distance as the
aforementioned choice.)
2) He could cross along the wall from A to D, then
crawl diagonally up the wall from D to G. We would have to
find the width of the room, which would be AD, and the
length of diagonal DG.
(He could also go diagonally from A to F, and then crawl
along the ceiling from F to G, but that would be the same
distance as the aforementioned choice.)
3) He could cross along the floor from A to B, then
crawl diagonally from B to G. We would have to find the
length of the room, which would be AB, and the length of
diagonal BG.
(He could also go diagonally from A to H, and then crawl
along the ceiling from H to G, but that would be the same
distance as the aforementioned choice.)
4) He could cross along the wall from A to the
midpoint of DH, then continue from the midpoint of DH to G.
We’ll call the midpoint of DH “M”. We would have to find
the width of the room, which would be AD, and half the
height of the room, which would be DM and HM. We would then
have to find the length of the diagonal AM, and then the
length of the diagonal MG.
(He could also go diagonally from A to the midpoint of BF
and then diagonally to G, but this would be the same
distance as the aforementioned choice.)
Using common sense, we can see that choice 4 will be the
quickest route for the ant. If you have trouble seeing how
this option is quickest, make up fake dimensions for the
room and find the values I mentioned above for each choice
to determine the shortest distance.
(For example, pretend the room is 5 feet high, 10 feet
wide, and 20 long. AE=5, AD=10, and AB=20.)

Answer / hemant from india

1. sqrt((a+b)^2+c^2),
2. sqrt((b+c)^2+a^2)
3. sqrt((c+a)^2+b^2)
which one is smaller in these is right answer

cos ant travels only thorough plane so , just unfold cuboid
u will find u have to add 2 dimensions and third dimension
in perpendicular direction and gets this ans

Answer / dhruv saksena

The ant will walk to the midpoint of the edge touching the corner opposite diagonally on the floor. From the mid point it will travel directly to its destination corner. this is the shortest distance possible for it to travel.

This can be calculated using a combination of differentiation and the Pythagoras theorem, it was in my test.

Answer / guest

Shortest path is always a straight line.
So do flat the room walls and floor and draw a straight line
between the opposite corners of the room. If room is not
cubical then that line will not pass through any edge of room.

Answer / jawahir kashim

Unfold the 3D cuboid into 2D. Let (A B C D,E F G H) be the edges of the cuboid.Such that A is below E and others edges resp.Unfold such that point A and its diagonal are in the same plane. The straight line joining A and G ie the diagonal in 2D is the shortest line.

Answer / avinash singh

shortest distance in a cube is diognaly. but ant cant fly. she can travel in a flor or roof diognaly from one corner to another one. and one side.
ex= if side is given 3. so diognaly on floor distance is 3 under root 2. and add one side is 3. so total distance is 3(1+under root 2).

Answer / suda

Insteatd of moving on wall and roof,If the ant moves in a
straight way in floor,it can reach the opp.corner
diagonally and it would be the shortest path for the ant.

Answer / devangini

There is no restriction on the way the ant can walk.

Consider the cuboid given in answer 3 and let X be the
midpoint of the surface ABCD. now the ant can walk from A to
X, X to D and D to G.

Answer / guru

I tried with above 10,20, and % dimensions.But the shortest
is to move diagonally across the 2 longest dimensioned wall
(10 & 10) and then move straight..(5)

So its sqrt(10^2+20^2)+5 = 27.36
if you take any other method its beyond 30.2

So A to C and then G is shortest

My friend collects antique stamps. She purchased two, but found that she needed to raise money urgently. So she sold them for Rs. 8000 each. On one she made 20% and on the other she lost 20%. How much did she gain or lose in the entire transaction?

3 Answers   Wipro,

4. There are five caps , 3 black and 2 white. three persons chander, sunder and maninder are standing one behind the other in a queue. the first person in the queue is chanbder and the last person is maninder . 3 caps rfrom the lot of fivce is taken and put on their heads. Maninder can see what the other two standing in front are wearing . sunder can see what chander is wearing. None of them can turn around and see what the person standing behind is wearing , they do not know the color of cap what they themselves are wearing . John comes and asks maninder,"what is the color of the cap your are wearing?", Maninder can see what sunder and chander are wearing, and based on that he says he doesn't know. sunder has over heard that answer. Now john asks sunder" what is the colour of the cap you are wearing". sunder can see chander and he has heard what maninder has said, and based on that he says he doesn't know. chander has overheard both sunder and maninder. so when john asks chander the same question, he tells the correct answer. What is the colour of the cap that chander is weaRing ? Please write in brief how did you reach to that conclusion.

7 Answers   3D PLM, College School Exams Tests,

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?

5 Answers   marketRx,

there are 5 boxes each of which contains coins. all the boxes except one box contains coins whose weight is 100 grams.(each coin weight is 100gm). only one box contains coins tat weigh 90gm each. u r given a digital balance. in how many trys can u find out which box contains 90gm coins?

8 Answers   Exilant,

Three convicts are brought into the warden's office. He says he can parole one of them and to decide which one he will parole he takes out 5 hats (3 red and 2 white). He stands behind them and places a hat on each one of their heads and puts the other two remaining hats in a drawer. He tells the prisioners they can look at the others hats and if they can tell which hat they have on they will be the one who is paroled. The first man looks at the other two and says, "I don't know." The second man looks at the others hats and says, "I don't know." The third man who is blind says, "Even though I have not the gift of sight I can tell by what the others have said that the color of my hat is..." What color is the blind mans hat and how does he know?

2 Answers   Bally Technologies, Walkover, Wipro,

Plz mail me some aptitute questions which helps me to face SBI clerical exam.

3 Answers   Genpact, State Bank Of India SBI,

Raj has a jewel chest containing Rings, Pins and Ear-rings. The chest contains 26 pieces. Raj has 2 1/2 times as many rings as pins, and the number of pairs of earrings is 4 less than the number of rings. How many earrings does Raj have?

5 Answers   Capital IQ,

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?

1 Answers  

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?

1 Answers  

A husband and wife have a combined age of 91. The husband is now twice as old as his wife was when he was as old as she is now. How old is wife?

8 Answers   TCS, Wipro,

A contractor had employed 100 labourers for a flyover construction task. He did not allow any woman to work without her husband. Also, atleast half the men working came with their wives. He paid five rupees per day to each man, four ruppes to each woman and one rupee to each child. He gave out 200 rupees every evening. How many men, women and children were working with the constructor?

2 Answers  

There are 4 identical tabulates 2 for fever and 2 for cough, you have to take 1 tabulate of fever and 1 tabulate of cough, if you consume 2 same type of tabulates you will die. then how to consume tabulates???

9 Answers   Perfect Pac, Persistent,