#1411 - Solve My Maths Problem

There has been a house on fire. The fireman is now standing in the middle rung of the ladder and trying to extinguish the fire. He climbs 6 rungs more but the heat and deadly flames make him climb down 10 rungs. When the fire is settling gradually, he climbs 18 rungs and reaches the top of the ladder for better access to the house.

Calculate the number of rungs in the ladder ?

Solve My Maths Problem

29 rungs
Suppose he is standing on m at first which is the middle rung.
He climbs 6 rungs which makes his position to be m+6.
He climbs down ten rungs which makes his position to be (m+6-10) = m-4
He climbs 18 rungs to reach the top t which makes his position (m-4+18) = m+14
Now, m+14 = t
Which means there are 14 rungs above the middle rung and 14 rungs below the middle rung. Counting the middle rung as well, it makes a total of 29 rungs.

#1412 - Awesome Word Changing Riddle

Can you transform the word THINK into BRAIN while changing only one letter at a time in a manner that each of the word in the process is a real word?

Awesome Word Changing Riddle

THINK

Replacing N with C
THICK

Replacing H with R
TRICK

Replacing I with A
TRACK

Replacing K with T
TRACT

Replacing C with I
TRAIT

Replacing T with N
TRAIN

Replacing T with B
BRAIN

#1413 - Trick Detective Murder Riddle

A couple went on for a climbing trip. But only the husband returned from the vacation and said that his wife slipped off while climbing and died. On investigating, the local sheriff arrested him saying, 'Your travel agent called. You murdered your wife.'

The man did not inform anyone about the trip. Then how did the agent was so sure that it is a murder?

Trick Detective Murder Riddle

The man bought only one way ticket for his wife whereas he bought two way ticket for himself. It means that he was sure that he will be returning alone.

#1414 - Logic Amazon Aptitude Interview Puzzle

In a box, there is a jumble of 7 red balls, 6 blue balls, 5 green balls, and 4 yellow balls. What is the minimum number of balls, will you have to pick up so that you have at least 4 balls of the same color?

Logic Amazon Aptitude Interview Puzzle

We will have to consider the worst scenario which is 12 + 1 = 13.
You will have to pick up 13 balls to be absolute sure that you have at least 4 balls of same color

#1415 - Hobbit Riddle

Its something that each of us devours,
Not just us but birds, beats, trees and flowers,
Frets iron and nibbles steel,
Toil hard stones to meal,
Exterminates king, collapse town,
And blows the mountains down.

Hobbit Riddle

Time

#1416 - Infosys Interview Puzzle

The king of Octopuses has servants who have six, seven or eight legs. The distinguishing characteristics of the servants is that the one with seven legs always lie but the one with either six or eight legs speak the truth always.

On a certain night, four servants meet and converse:
The black one says, 'We have 28 legs altogether.'
The green one says, 'We have 27 legs altogether.'
The yellow one says, 'We have 26 legs altogether.'
The red one says, 'We have 25 legs altogether.'

Can you identify the color of the servant who is speaking the truth?

Infosys Interview Puzzle

The green servant is telling the truth.

To prove it, let us first assume that one of them is telling the truth. It is obvious that three of the four servants are lying as they are disagreeing with each other.

Suppose if the black servant is telling the truth. In that case, the black one is having either 6 or 8 legs. And each of the other octopus is lying will then have 7 legs. In this case, the total number of legs will be 6 + 7 + 7 + 7 = 27 legs or 8 + 7 + 7 + 7 = 29 legs. But the black servant said that they have 28 legs all together. Thus he is lying.

Now follow the same logic with the remaining three servants as well assuming all of them truthful one by one. You will realize that only the Green octopus is telling the truth.

#1417 - Trick Math Problem

While boarding a bus you notice that there are 7 girls in the bus already. All the girls have 7 bags each. In each bag there are 7 adult cats. Each of the adult cat have 7 little one. Each of the cat has 4 legs.

Can you calculate the number of legs in the bus?

Trick Math Problem

Every girl has seven bags comprising of seven adult cats each with seven little cats per adult cat.
Thus for one girl:
1 girl + 49 adult cats + 343 little cats
Since there are 7 girls:
7 girls + 343 adult cats + 2410 little cats

Now calculating the legs:
14 legs of girls + 10976 legs of cats (There are total 2744 cats with 4 legs each).
Thus total legs = 10990

Now I climbed aboard the bus as well, thus total number of legs = 10990 + 2 = 10992 legs
If we add two legs of the driver as well,
Total legs = 10992 + 2 = 10994

#1418 - Decode Text Riddle

If in a code language, DISTANCE is written as IDTUBECN and DOCUMENT is written as ODDVNTNE, the how will THURSDAY be coded as in the same language?

Decode Text Riddle

HTVSTYAD

DISTANCE = IDTUBECN
D and I are interchanged in position.
S, T and A are added with one position to form T, U, B respectively.
N, C and E are written in opposite order.

Thus in the same manner
THURSDAY= HTVSTYAD.

#1419 - Tricky Picture Puzzle

In the picture given with this question you will find a square piece of a paper with a hole that is denoted by the circle on the top right side.You have to cut the paper in a manner that it forms two and only two separate pieces of paper and then rearrange the pieces in a manner that the holes comes in the center of the paper.Can you do it?

Tricky Picture Puzzle

The first image in this answer clarifies where to make the cut to divide the paper into two separate pieces. The second image is the rearranged position if you rotate the right piece of paper to 180 degrees. In this manner, the hole is now in the center.

#1420 - Hard Maths Cube Riddle

You are given a cube that is made with the help of 10x10x10 smaller cubes summing up to a total of 1000 smaller cubes. You are asked to take off one layer of the cubes.

How many remain now?

Hard Maths Cube Riddle

512
A layer will mean to remove from all sides of the cube. Thus it would reduce the dimension be two not one. In this way only a cube of 8x8x8 will remain. This totals to be 512.